{ "format": "novus-learn-open-practice", "version": 1, "packId": "cognitive-skills-data-interpretation", "source": "cognitive-skills", "slug": "data-interpretation", "title": "Data interpretation: tables, charts, and conclusions: open practice pack", "subtitle": "100 untimed questions across 10 authored sections.", "sourceHref": "/cognitive-skills/data-interpretation", "disclaimer": "This is untimed educational practice for one cognitive skill. It is not a clinical, diagnostic, employment, or professionally recognized assessment, and it does not produce an IQ score or credential.", "worksheet": { "title": "Learner worksheet", "instructions": [ "One hundred untimed self-check questions in ten themed sections, from simple table reading to spotting flawed conclusions. Every figure you need is given in the question. Work from the data alone.", "Choose one answer for each item. For a delayed-recall item, read its study text, cover it, and then answer without looking back." ], "groups": [ { "id": "data-interpretation-s01", "title": "Reading values from tables", "instructions": "Find the right cell in each described table and read it accurately.", "items": [ { "id": "data-interpretation-s01-q01", "prompt": "A library's loan record for one week shows: Monday 42 loans, Tuesday 38, Wednesday 51, Thursday 45, Friday 60. How many loans were recorded on Wednesday?", "choices": [ { "id": "a", "label": "51" }, { "id": "b", "label": "45" }, { "id": "c", "label": "38" }, { "id": "d", "label": "60" } ] }, { "id": "data-interpretation-s01-q02", "prompt": "A weather station records monthly rainfall: April 62 mm, May 48 mm, June 35 mm, July 20 mm. Which month had the least rainfall?", "choices": [ { "id": "a", "label": "May" }, { "id": "b", "label": "July" }, { "id": "c", "label": "June" }, { "id": "d", "label": "April" } ] }, { "id": "data-interpretation-s01-q03", "prompt": "A market stall's takings table shows: apples £24, pears £31, plums £19, cherries £42. How much more did cherries take than plums?", "choices": [ { "id": "a", "label": "£11" }, { "id": "b", "label": "£18" }, { "id": "c", "label": "£23" }, { "id": "d", "label": "£27" } ] }, { "id": "data-interpretation-s01-q04", "prompt": "A car park log lists vehicles by type: cars 120, vans 35, motorcycles 18, lorries 9. How many vehicles were logged in total?", "choices": [ { "id": "a", "label": "173" }, { "id": "b", "label": "178" }, { "id": "c", "label": "180" }, { "id": "d", "label": "182" } ] }, { "id": "data-interpretation-s01-q05", "prompt": "A museum's visitor table shows: Saturday morning 210, Saturday afternoon 340, Sunday morning 180, Sunday afternoon 290. Which single period had the most visitors?", "choices": [ { "id": "a", "label": "Saturday afternoon" }, { "id": "b", "label": "Sunday afternoon" }, { "id": "c", "label": "Saturday morning" }, { "id": "d", "label": "Sunday morning" } ] }, { "id": "data-interpretation-s01-q06", "prompt": "A school's absence table reads: Year 7: 12, Year 8: 9, Year 9: 15, Year 10: 9, Year 11: 6. How many year groups recorded exactly 9 absences?", "choices": [ { "id": "a", "label": "1" }, { "id": "b", "label": "2" }, { "id": "c", "label": "3" }, { "id": "d", "label": "0" } ] }, { "id": "data-interpretation-s01-q07", "prompt": "A bus timetable lists departures at 08:10, 08:35, 09:00 and 09:25. How many minutes apart are consecutive departures?", "choices": [ { "id": "a", "label": "15" }, { "id": "b", "label": "20" }, { "id": "c", "label": "25" }, { "id": "d", "label": "30" } ] }, { "id": "data-interpretation-s01-q08", "prompt": "A stationery stock table shows: pens 240, pencils 310, rulers 95, erasers 150. Which item has the lowest stock?", "choices": [ { "id": "a", "label": "Pens" }, { "id": "b", "label": "Pencils" }, { "id": "c", "label": "Erasers" }, { "id": "d", "label": "Rulers" } ] }, { "id": "data-interpretation-s01-q09", "prompt": "A café's drinks table records: tea 58 cups, coffee 84 cups, hot chocolate 27 cups. How many cups were sold in total?", "choices": [ { "id": "a", "label": "159" }, { "id": "b", "label": "169" }, { "id": "c", "label": "171" }, { "id": "d", "label": "179" } ] }, { "id": "data-interpretation-s01-q10", "prompt": "A courier's delivery log shows: Week 1: 74 parcels, Week 2: 81, Week 3: 74, Week 4: 88. How many parcels were delivered in Week 2?", "choices": [ { "id": "a", "label": "74" }, { "id": "b", "label": "78" }, { "id": "c", "label": "81" }, { "id": "d", "label": "88" } ] } ] }, { "id": "data-interpretation-s02", "title": "Comparing categories and totals", "instructions": "Compare bar-chart style category figures: differences, sums, and multiples.", "items": [ { "id": "data-interpretation-s02-q01", "prompt": "A bar chart of phone-case sales by colour shows: black 45, white 30, blue 25, red 20 units. How many more black cases than red cases were sold?", "choices": [ { "id": "a", "label": "15" }, { "id": "b", "label": "20" }, { "id": "c", "label": "25" }, { "id": "d", "label": "30" } ] }, { "id": "data-interpretation-s02-q02", "prompt": "Fun-run entrants by age group: under-18 64, 18–35 112, 36–50 98, over-50 46. Which two groups together account for exactly 210 entrants?", "choices": [ { "id": "a", "label": "18–35 and 36–50" }, { "id": "b", "label": "Under-18 and 18–35" }, { "id": "c", "label": "36–50 and over-50" }, { "id": "d", "label": "Under-18 and over-50" } ] }, { "id": "data-interpretation-s02-q03", "prompt": "A gym's attendance chart shows: Monday 85, Wednesday 92, Friday 78, Sunday 105. What is the combined attendance of the two busiest days?", "choices": [ { "id": "a", "label": "177" }, { "id": "b", "label": "183" }, { "id": "c", "label": "190" }, { "id": "d", "label": "197" } ] }, { "id": "data-interpretation-s02-q04", "prompt": "A bookshop's sales chart shows: fiction 120, biography 45, cookery 60, travel 30. How many times as many fiction books as travel books were sold?", "choices": [ { "id": "a", "label": "3" }, { "id": "b", "label": "4" }, { "id": "c", "label": "5" }, { "id": "d", "label": "6" } ] }, { "id": "data-interpretation-s02-q05", "prompt": "A chart compares two branches: North sold 340 units and South sold 290 units. How many more units would South need to sell to match North?", "choices": [ { "id": "a", "label": "50" }, { "id": "b", "label": "40" }, { "id": "c", "label": "60" }, { "id": "d", "label": "30" } ] }, { "id": "data-interpretation-s02-q06", "prompt": "An ice-cream stand's chart shows tubs sold by flavour: vanilla 72, strawberry 55, mint 38, mango 41. Which flavour sold fewer than 40 tubs?", "choices": [ { "id": "a", "label": "Vanilla" }, { "id": "b", "label": "Mango" }, { "id": "c", "label": "Mint" }, { "id": "d", "label": "Strawberry" } ] }, { "id": "data-interpretation-s02-q07", "prompt": "A chart shows attendance at four workshops: Workshop 1 had 28, Workshop 2 had 34, Workshop 3 had 22, Workshop 4 had 36. What was the total attendance?", "choices": [ { "id": "a", "label": "110" }, { "id": "b", "label": "120" }, { "id": "c", "label": "124" }, { "id": "d", "label": "130" } ] }, { "id": "data-interpretation-s02-q08", "prompt": "A recycling chart shows amounts collected: paper 340 kg, glass 275 kg, plastic 180 kg, metal 95 kg. What is the difference between the highest and lowest amounts?", "choices": [ { "id": "a", "label": "165 kg" }, { "id": "b", "label": "195 kg" }, { "id": "c", "label": "225 kg" }, { "id": "d", "label": "245 kg" } ] }, { "id": "data-interpretation-s02-q09", "prompt": "A chart shows quarterly sign-ups: Q1 150, Q2 180, Q3 210, Q4 240. Which quarter's sign-ups were exactly 60 higher than Q2's?", "choices": [ { "id": "a", "label": "Q1" }, { "id": "b", "label": "Q2" }, { "id": "c", "label": "Q3" }, { "id": "d", "label": "Q4" } ] }, { "id": "data-interpretation-s02-q10", "prompt": "A cinema's chart shows tickets sold by film: Comet Trail 420, Harbour Lights 385, Old Maps 310, Winter Fair 295. Which two films differ by exactly 35 tickets?", "choices": [ { "id": "a", "label": "Comet Trail and Harbour Lights" }, { "id": "b", "label": "Harbour Lights and Old Maps" }, { "id": "c", "label": "Old Maps and Winter Fair" }, { "id": "d", "label": "Comet Trail and Winter Fair" } ] } ] }, { "id": "data-interpretation-s03", "title": "Percentages and proportions", "instructions": "Convert between counts, fractions, and percentages of a stated total.", "items": [ { "id": "data-interpretation-s03-q01", "prompt": "A survey of 200 commuters found that 90 travel by train. What percentage travel by train?", "choices": [ { "id": "a", "label": "40%" }, { "id": "b", "label": "45%" }, { "id": "c", "label": "50%" }, { "id": "d", "label": "55%" } ] }, { "id": "data-interpretation-s03-q02", "prompt": "A nursery's table shows 250 seedlings were planted and 20% failed to grow. How many seedlings survived?", "choices": [ { "id": "a", "label": "50" }, { "id": "b", "label": "150" }, { "id": "c", "label": "180" }, { "id": "d", "label": "200" } ] }, { "id": "data-interpretation-s03-q03", "prompt": "A staffing table shows 60 of a company's 240 employees work part-time. What fraction of the workforce is that, in simplest form?", "choices": [ { "id": "a", "label": "1/4" }, { "id": "b", "label": "1/3" }, { "id": "c", "label": "1/5" }, { "id": "d", "label": "1/6" } ] }, { "id": "data-interpretation-s03-q04", "prompt": "A results table shows votes for three candidates: Ade 4,500; Brooke 3,000; Chen 2,500. What percentage of all votes did Ade receive?", "choices": [ { "id": "a", "label": "35%" }, { "id": "b", "label": "40%" }, { "id": "c", "label": "45%" }, { "id": "d", "label": "50%" } ] }, { "id": "data-interpretation-s03-q05", "prompt": "A transport chart shows how pupils travel to school: 35% by car, 25% by bus, 30% by bicycle, and the remainder walk. What percentage walk?", "choices": [ { "id": "a", "label": "20%" }, { "id": "b", "label": "15%" }, { "id": "c", "label": "5%" }, { "id": "d", "label": "10%" } ] }, { "id": "data-interpretation-s03-q06", "prompt": "A till report shows a shop served 320 customers, of whom 40% paid by contactless card. How many customers is that?", "choices": [ { "id": "a", "label": "118" }, { "id": "b", "label": "128" }, { "id": "c", "label": "132" }, { "id": "d", "label": "148" } ] }, { "id": "data-interpretation-s03-q07", "prompt": "A logistics dashboard shows that 45 of 150 orders were delivered late. What percentage of orders were late?", "choices": [ { "id": "a", "label": "30%" }, { "id": "b", "label": "33%" }, { "id": "c", "label": "35%" }, { "id": "d", "label": "45%" } ] }, { "id": "data-interpretation-s03-q08", "prompt": "A survey table shows that 3 out of every 8 pupils chose science as their favourite subject. If 96 pupils were surveyed, how many chose science?", "choices": [ { "id": "a", "label": "24" }, { "id": "b", "label": "32" }, { "id": "c", "label": "36" }, { "id": "d", "label": "40" } ] }, { "id": "data-interpretation-s03-q09", "prompt": "A museum's income table shows: grants 55%, ticket sales 30%, donations 15%. If total income was £600,000, how much came from ticket sales?", "choices": [ { "id": "a", "label": "£150,000" }, { "id": "b", "label": "£165,000" }, { "id": "c", "label": "£180,000" }, { "id": "d", "label": "£330,000" } ] }, { "id": "data-interpretation-s03-q10", "prompt": "A festival report states that 40% of visitors bought a programme, and 5,200 programmes were sold, one per buyer. How many visitors attended in total?", "choices": [ { "id": "a", "label": "12,000" }, { "id": "b", "label": "13,000" }, { "id": "c", "label": "14,000" }, { "id": "d", "label": "15,600" } ] } ] }, { "id": "data-interpretation-s04", "title": "Trends over time", "instructions": "Read line-graph style series: rises, falls, peaks, and simple forecasts.", "items": [ { "id": "data-interpretation-s04-q01", "prompt": "Monthly website visits were: January 8,000; February 9,000; March 11,000; April 10,000; May 13,000. Between which two consecutive months was the largest rise?", "choices": [ { "id": "a", "label": "January to February" }, { "id": "b", "label": "February to March" }, { "id": "c", "label": "March to April" }, { "id": "d", "label": "April to May" } ] }, { "id": "data-interpretation-s04-q02", "prompt": "Temperature readings through a day were: 06:00 4°C, 09:00 9°C, 12:00 14°C, 15:00 16°C, 18:00 12°C. At which time did the temperature peak?", "choices": [ { "id": "a", "label": "09:00" }, { "id": "b", "label": "12:00" }, { "id": "c", "label": "15:00" }, { "id": "d", "label": "18:00" } ] }, { "id": "data-interpretation-s04-q03", "prompt": "A river-level graph shows: Monday 2.4 m, Tuesday 2.9 m, Wednesday 3.1 m, Thursday 2.8 m. On how many days did the level rise compared with the day before?", "choices": [ { "id": "a", "label": "1" }, { "id": "b", "label": "2" }, { "id": "c", "label": "3" }, { "id": "d", "label": "0" } ] }, { "id": "data-interpretation-s04-q04", "prompt": "Annual subscriptions were: 2019: 1,200; 2020: 1,500; 2021: 1,800; 2022: 2,100. If the same yearly increase continues, what is the forecast for 2023?", "choices": [ { "id": "a", "label": "2,400" }, { "id": "b", "label": "2,300" }, { "id": "c", "label": "2,250" }, { "id": "d", "label": "2,500" } ] }, { "id": "data-interpretation-s04-q05", "prompt": "Weekly sales fell from 640 in week 1 to 560 in week 2 and 480 in week 3. If the same weekly fall continues, what will week 4's sales be?", "choices": [ { "id": "a", "label": "440" }, { "id": "b", "label": "420" }, { "id": "c", "label": "400" }, { "id": "d", "label": "380" } ] }, { "id": "data-interpretation-s04-q06", "prompt": "Quarterly profit was: Q1 £12,000; Q2 £15,000; Q3 £9,000; Q4 £18,000. Which quarter showed the largest change (up or down) from the previous quarter?", "choices": [ { "id": "a", "label": "Q2" }, { "id": "b", "label": "Q3" }, { "id": "c", "label": "Q2 and Q3 equally" }, { "id": "d", "label": "Q4" } ] }, { "id": "data-interpretation-s04-q07", "prompt": "A graph shows a delivery firm's daily fuel use falling steadily from 900 litres on day 1 to 660 litres on day 5. Assuming a constant daily fall, how much did it fall per day?", "choices": [ { "id": "a", "label": "60 litres" }, { "id": "b", "label": "48 litres" }, { "id": "c", "label": "80 litres" }, { "id": "d", "label": "75 litres" } ] }, { "id": "data-interpretation-s04-q08", "prompt": "A podcast's downloads doubled every month: March 500, April 1,000, May 2,000. If the pattern holds, how many downloads are expected in June?", "choices": [ { "id": "a", "label": "3,000" }, { "id": "b", "label": "4,000" }, { "id": "c", "label": "2,500" }, { "id": "d", "label": "6,000" } ] }, { "id": "data-interpretation-s04-q09", "prompt": "A chart of annual conference attendance shows: 2018: 940; 2019: 980; 2020: 310; 2021: 890. Which year's figure most likely reflects a one-off disruption rather than the underlying trend?", "choices": [ { "id": "a", "label": "2020" }, { "id": "b", "label": "2018" }, { "id": "c", "label": "2019" }, { "id": "d", "label": "2021" } ] }, { "id": "data-interpretation-s04-q10", "prompt": "Between 09:00 and 13:00 a car park's occupancy rose steadily from 40 cars to 200 cars. At that constant rate, how many cars were parked at 11:00?", "choices": [ { "id": "a", "label": "100" }, { "id": "b", "label": "110" }, { "id": "c", "label": "140" }, { "id": "d", "label": "120" } ] } ] }, { "id": "data-interpretation-s05", "title": "Averages and rates", "instructions": "Work out means, medians, modes, and per-unit rates from small data sets.", "items": [ { "id": "data-interpretation-s05-q01", "prompt": "A results table lists five test scores: 62, 70, 58, 74, 66. What is the mean score?", "choices": [ { "id": "a", "label": "66" }, { "id": "b", "label": "65" }, { "id": "c", "label": "68" }, { "id": "d", "label": "70" } ] }, { "id": "data-interpretation-s05-q02", "prompt": "A depot's table shows daily deliveries over four days: 45, 52, 38, 49. What is the mean number of deliveries per day?", "choices": [ { "id": "a", "label": "45" }, { "id": "b", "label": "46" }, { "id": "c", "label": "47" }, { "id": "d", "label": "48" } ] }, { "id": "data-interpretation-s05-q03", "prompt": "A production log shows a machine fills 240 bottles in 30 minutes. At that rate, how many bottles does it fill per hour?", "choices": [ { "id": "a", "label": "120" }, { "id": "b", "label": "240" }, { "id": "c", "label": "360" }, { "id": "d", "label": "480" } ] }, { "id": "data-interpretation-s05-q04", "prompt": "What is the median of this data set: 12, 18, 7, 25, 14?", "choices": [ { "id": "a", "label": "12" }, { "id": "b", "label": "18" }, { "id": "c", "label": "14" }, { "id": "d", "label": "15" } ] }, { "id": "data-interpretation-s05-q05", "prompt": "A training log shows a cyclist covered 84 km in 3.5 hours. What was the average speed?", "choices": [ { "id": "a", "label": "21 km/h" }, { "id": "b", "label": "24 km/h" }, { "id": "c", "label": "26 km/h" }, { "id": "d", "label": "28 km/h" } ] }, { "id": "data-interpretation-s05-q06", "prompt": "A call-centre dashboard shows a mean of 40 calls answered per hour across a 7-hour shift. How many calls were answered in total?", "choices": [ { "id": "a", "label": "280" }, { "id": "b", "label": "240" }, { "id": "c", "label": "270" }, { "id": "d", "label": "320" } ] }, { "id": "data-interpretation-s05-q07", "prompt": "Rainfall over four weeks averaged 22 mm per week. The first three weeks measured 18 mm, 25 mm and 20 mm. How much rain fell in week 4?", "choices": [ { "id": "a", "label": "21 mm" }, { "id": "b", "label": "22 mm" }, { "id": "c", "label": "24 mm" }, { "id": "d", "label": "25 mm" } ] }, { "id": "data-interpretation-s05-q08", "prompt": "A shoe shop's sales table lists the sizes sold in one hour: 6, 7, 7, 8, 8, 8, 9. What is the mode?", "choices": [ { "id": "a", "label": "6" }, { "id": "b", "label": "7" }, { "id": "c", "label": "8" }, { "id": "d", "label": "9" } ] }, { "id": "data-interpretation-s05-q09", "prompt": "A specification table states a printer produces 45 pages per minute. How long will it take to print 630 pages?", "choices": [ { "id": "a", "label": "12 minutes" }, { "id": "b", "label": "14 minutes" }, { "id": "c", "label": "15 minutes" }, { "id": "d", "label": "16 minutes" } ] }, { "id": "data-interpretation-s05-q10", "prompt": "A payroll table shows three staff earn £12 per hour and one earns £16 per hour. What is the mean hourly rate across the four staff?", "choices": [ { "id": "a", "label": "£12.50" }, { "id": "b", "label": "£14" }, { "id": "c", "label": "£12" }, { "id": "d", "label": "£13" } ] } ] }, { "id": "data-interpretation-s06", "title": "Shares of a whole: pie charts", "instructions": "Convert between pie-chart angles, percentage shares, and actual amounts.", "items": [ { "id": "data-interpretation-s06-q01", "prompt": "A pie chart splits a £2,000 monthly budget: rent 50%, food 25%, travel 15%, other 10%. How much is spent on travel?", "choices": [ { "id": "a", "label": "£200" }, { "id": "b", "label": "£250" }, { "id": "c", "label": "£300" }, { "id": "d", "label": "£350" } ] }, { "id": "data-interpretation-s06-q02", "prompt": "A pie chart is drawn accurately to scale. One segment measures 90°. What percentage of the whole does that segment represent?", "choices": [ { "id": "a", "label": "15%" }, { "id": "b", "label": "20%" }, { "id": "c", "label": "30%" }, { "id": "d", "label": "25%" } ] }, { "id": "data-interpretation-s06-q03", "prompt": "A sports club has 360 members, shown on a pie chart. The badminton segment measures 120°. How many members play badminton?", "choices": [ { "id": "a", "label": "120" }, { "id": "b", "label": "90" }, { "id": "c", "label": "150" }, { "id": "d", "label": "100" } ] }, { "id": "data-interpretation-s06-q04", "prompt": "A home-energy pie chart shows: gas 40%, electricity 35%, oil x%, renewables 5%. What is x?", "choices": [ { "id": "a", "label": "15" }, { "id": "b", "label": "20" }, { "id": "c", "label": "25" }, { "id": "d", "label": "30" } ] }, { "id": "data-interpretation-s06-q05", "prompt": "A pie chart shows how 80 employees commute: half drive, a quarter cycle, and the rest is split equally between bus and walking. How many employees walk?", "choices": [ { "id": "a", "label": "20" }, { "id": "b", "label": "8" }, { "id": "c", "label": "12" }, { "id": "d", "label": "10" } ] }, { "id": "data-interpretation-s06-q06", "prompt": "Two pie charts compare a shop's sales. In 2020, total sales were £40,000 with online at 30%. In 2023, total sales were £60,000 with online at 45%. By how much did online sales grow?", "choices": [ { "id": "a", "label": "£9,000" }, { "id": "b", "label": "£12,000" }, { "id": "c", "label": "£15,000" }, { "id": "d", "label": "£18,000" } ] }, { "id": "data-interpretation-s06-q07", "prompt": "A pie chart shows 1,200 votes on a park name: Riverside 35%, Hillcrest 40%, Meadow 25%. How many votes did Hillcrest receive?", "choices": [ { "id": "a", "label": "420" }, { "id": "b", "label": "480" }, { "id": "c", "label": "300" }, { "id": "d", "label": "500" } ] }, { "id": "data-interpretation-s06-q08", "prompt": "A pie chart represents 720 items in total. One category's segment measures 45°. How many items are in that category?", "choices": [ { "id": "a", "label": "90" }, { "id": "b", "label": "80" }, { "id": "c", "label": "96" }, { "id": "d", "label": "72" } ] }, { "id": "data-interpretation-s06-q09", "prompt": "A dessert-orders pie chart shows: cake 30%, ice cream 25%, fruit 20%, pudding 25%. Which two categories together make up exactly half of all orders?", "choices": [ { "id": "a", "label": "Cake and ice cream" }, { "id": "b", "label": "Ice cream and fruit" }, { "id": "c", "label": "Cake and fruit" }, { "id": "d", "label": "Fruit and pudding" } ] }, { "id": "data-interpretation-s06-q10", "prompt": "A charity's pie chart shows administration costs took 9% of the £150,000 it raised. How much was spent on administration?", "choices": [ { "id": "a", "label": "£13,500" }, { "id": "b", "label": "£12,500" }, { "id": "c", "label": "£15,000" }, { "id": "d", "label": "£9,000" } ] } ] }, { "id": "data-interpretation-s07", "title": "Multi-step calculations from tables", "instructions": "Combine two or more table values (prices, rates, and adjustments) in sequence.", "items": [ { "id": "data-interpretation-s07-q01", "prompt": "A price list shows: notebook £2.40, pen £1.10, folder £3.25. What is the cost of 3 notebooks and 2 pens?", "choices": [ { "id": "a", "label": "£8.90" }, { "id": "b", "label": "£9.40" }, { "id": "c", "label": "£9.60" }, { "id": "d", "label": "£10.45" } ] }, { "id": "data-interpretation-s07-q02", "prompt": "A hotel's rate table shows: weeknight (Monday–Thursday) £85, weekend night (Friday–Sunday) £110. What does a guest pay for Thursday, Friday and Saturday nights?", "choices": [ { "id": "a", "label": "£305" }, { "id": "b", "label": "£280" }, { "id": "c", "label": "£330" }, { "id": "d", "label": "£255" } ] }, { "id": "data-interpretation-s07-q03", "prompt": "A payroll table shows Amir worked 38 standard hours at £11 per hour plus 4 hours of overtime paid at time-and-a-half. What was his total pay?", "choices": [ { "id": "a", "label": "£462" }, { "id": "b", "label": "£470" }, { "id": "c", "label": "£484" }, { "id": "d", "label": "£502" } ] }, { "id": "data-interpretation-s07-q04", "prompt": "A stock-movement table shows: opening stock 500, deliveries in 240, sales out 380, customer returns added back 15. What is the closing stock?", "choices": [ { "id": "a", "label": "345" }, { "id": "b", "label": "355" }, { "id": "c", "label": "360" }, { "id": "d", "label": "375" } ] }, { "id": "data-interpretation-s07-q05", "prompt": "An electricity bill shows a standing charge of 28p per day for 30 days plus 210 kWh used at 24p per kWh. What is the total bill?", "choices": [ { "id": "a", "label": "£58.80" }, { "id": "b", "label": "£56.40" }, { "id": "c", "label": "£60.20" }, { "id": "d", "label": "£54.60" } ] }, { "id": "data-interpretation-s07-q06", "prompt": "A fare table shows: adult return £14.50, child return £7.25. A family railcard gives 25% off adult fares only. What do 2 adults with the railcard and 2 children pay?", "choices": [ { "id": "a", "label": "£34.75" }, { "id": "b", "label": "£36.25" }, { "id": "c", "label": "£38.50" }, { "id": "d", "label": "£33.50" } ] }, { "id": "data-interpretation-s07-q07", "prompt": "An exchange-rate table shows £1 = €1.15. A traveller exchanges £400 and later spends €322. How many euros remain?", "choices": [ { "id": "a", "label": "€148" }, { "id": "b", "label": "€126" }, { "id": "c", "label": "€115" }, { "id": "d", "label": "€138" } ] }, { "id": "data-interpretation-s07-q08", "prompt": "A production table shows Line A makes 60 units per hour and ran for 6 hours; Line B makes 45 units per hour and ran for 8 hours. What was the combined output?", "choices": [ { "id": "a", "label": "640" }, { "id": "b", "label": "700" }, { "id": "c", "label": "720" }, { "id": "d", "label": "780" } ] }, { "id": "data-interpretation-s07-q09", "prompt": "A menu prices a main at £8.95, a side at £3.05 and a drink at £1.80, or a meal deal with one of each for £12.50. How much does the meal deal save?", "choices": [ { "id": "a", "label": "£1.30" }, { "id": "b", "label": "£1.20" }, { "id": "c", "label": "£1.50" }, { "id": "d", "label": "£0.95" } ] }, { "id": "data-interpretation-s07-q10", "prompt": "A van-hire tariff charges £45 per day plus 22p per mile. What does a two-day hire covering 250 miles cost?", "choices": [ { "id": "a", "label": "£135" }, { "id": "b", "label": "£140" }, { "id": "c", "label": "£145" }, { "id": "d", "label": "£150" } ] } ] }, { "id": "data-interpretation-s08", "title": "Percentage change and index numbers", "instructions": "Calculate increases, decreases, reverse percentages, and index-linked values.", "items": [ { "id": "data-interpretation-s08-q01", "prompt": "A property table shows a house price rose from £180,000 to £198,000. What was the percentage increase?", "choices": [ { "id": "a", "label": "8%" }, { "id": "b", "label": "9%" }, { "id": "c", "label": "11%" }, { "id": "d", "label": "10%" } ] }, { "id": "data-interpretation-s08-q02", "prompt": "A dashboard shows monthly active users fell from 25,000 to 21,250. What was the percentage fall?", "choices": [ { "id": "a", "label": "12%" }, { "id": "b", "label": "15%" }, { "id": "c", "label": "17.5%" }, { "id": "d", "label": "18%" } ] }, { "id": "data-interpretation-s08-q03", "prompt": "A price index is set at 100 in 2020 and reads 130 in 2024. A basket of goods costing £46 in 2020 would cost how much in 2024, if it tracked the index exactly?", "choices": [ { "id": "a", "label": "£59.80" }, { "id": "b", "label": "£57.50" }, { "id": "c", "label": "£60.20" }, { "id": "d", "label": "£58.00" } ] }, { "id": "data-interpretation-s08-q04", "prompt": "A chart shows sales grew by 20% in year one, then fell by 20% from that higher level in year two. Compared with the start, sales are now:", "choices": [ { "id": "a", "label": "Exactly the same" }, { "id": "b", "label": "4% higher" }, { "id": "c", "label": "4% lower" }, { "id": "d", "label": "20% lower" } ] }, { "id": "data-interpretation-s08-q05", "prompt": "A table shows factory output rose from 8,000 units to 10,000 units. What is the increase as a percentage of the original output?", "choices": [ { "id": "a", "label": "20%" }, { "id": "b", "label": "25%" }, { "id": "c", "label": "30%" }, { "id": "d", "label": "15%" } ] }, { "id": "data-interpretation-s08-q06", "prompt": "A ticket's price was cut by 30% in a sale and now costs £42. What was the original price?", "choices": [ { "id": "a", "label": "£54.60" }, { "id": "b", "label": "£55" }, { "id": "c", "label": "£58" }, { "id": "d", "label": "£60" } ] }, { "id": "data-interpretation-s08-q07", "prompt": "An index table shows: 2021 = 100, 2022 = 110, 2023 = 121. What was the percentage change from 2022 to 2023?", "choices": [ { "id": "a", "label": "11%" }, { "id": "b", "label": "21%" }, { "id": "c", "label": "10%" }, { "id": "d", "label": "12%" } ] }, { "id": "data-interpretation-s08-q08", "prompt": "A census table shows a town's population grew from 64,000 to 80,000. What was the percentage increase?", "choices": [ { "id": "a", "label": "25%" }, { "id": "b", "label": "20%" }, { "id": "c", "label": "24%" }, { "id": "d", "label": "30%" } ] }, { "id": "data-interpretation-s08-q09", "prompt": "A dashboard reports revenue of £2.4 million, described as 'up 20% on last year'. What was last year's revenue?", "choices": [ { "id": "a", "label": "£1.92 million" }, { "id": "b", "label": "£2.2 million" }, { "id": "c", "label": "£1.8 million" }, { "id": "d", "label": "£2.0 million" } ] }, { "id": "data-interpretation-s08-q10", "prompt": "An energy report shows annual use fell by 12% from 4,500 kWh. What is the new annual figure?", "choices": [ { "id": "a", "label": "3,860 kWh" }, { "id": "b", "label": "3,960 kWh" }, { "id": "c", "label": "4,040 kWh" }, { "id": "d", "label": "3,900 kWh" } ] } ] }, { "id": "data-interpretation-s09", "title": "Combining two data sources", "instructions": "Each item gives two linked tables or charts. Join them correctly to answer.", "items": [ { "id": "data-interpretation-s09-q01", "prompt": "Table 1 shows store visitors: Monday 400, Tuesday 500. Table 2 shows the share of visitors who bought something: Monday 10%, Tuesday 8%. Which day had more purchases?", "choices": [ { "id": "a", "label": "The two days were equal" }, { "id": "b", "label": "Monday" }, { "id": "c", "label": "Tuesday" }, { "id": "d", "label": "It cannot be determined from the tables" } ] }, { "id": "data-interpretation-s09-q02", "prompt": "Chart A shows 240 units were sold last month. Chart B shows the unit price was £12.50 throughout. What was the revenue?", "choices": [ { "id": "a", "label": "£2,400" }, { "id": "b", "label": "£2,880" }, { "id": "c", "label": "£3,000" }, { "id": "d", "label": "£3,200" } ] }, { "id": "data-interpretation-s09-q03", "prompt": "A region table shows: North has 50,000 residents and 2,500 club members; South has 80,000 residents and 3,200 club members. Which region has the higher membership rate, and what is it?", "choices": [ { "id": "a", "label": "South, at 4%" }, { "id": "b", "label": "South, at 6.25%" }, { "id": "c", "label": "North, at 4%" }, { "id": "d", "label": "North, at 5%" } ] }, { "id": "data-interpretation-s09-q04", "prompt": "A ferry timetable shows a 10:40 departure with a crossing time of 1 hour 35 minutes. A connections table says the shuttle bus leaves 20 minutes after the ferry arrives. When does the shuttle bus leave?", "choices": [ { "id": "a", "label": "12:15" }, { "id": "b", "label": "12:35" }, { "id": "c", "label": "12:25" }, { "id": "d", "label": "12:45" } ] }, { "id": "data-interpretation-s09-q05", "prompt": "A project plan shows 180 hours of work are needed. A staffing table shows two team members are each available 30 hours per week. How many weeks will the work take?", "choices": [ { "id": "a", "label": "2" }, { "id": "b", "label": "2.5" }, { "id": "c", "label": "3" }, { "id": "d", "label": "6" } ] }, { "id": "data-interpretation-s09-q06", "prompt": "Chart 1 shows a bakery bakes 320 loaves per day. Chart 2 shows that on average 5% of loaves go unsold. On an average day, how many loaves are sold?", "choices": [ { "id": "a", "label": "304" }, { "id": "b", "label": "316" }, { "id": "c", "label": "300" }, { "id": "d", "label": "288" } ] }, { "id": "data-interpretation-s09-q07", "prompt": "Store A's price list shows a laptop at £600. Store B's advert says it sells the same laptop for 15% less than Store A. What is Store B's price?", "choices": [ { "id": "a", "label": "£490" }, { "id": "b", "label": "£510" }, { "id": "c", "label": "£525" }, { "id": "d", "label": "£540" } ] }, { "id": "data-interpretation-s09-q08", "prompt": "A league table shows a team played 10 matches: 6 wins, 2 draws, 2 losses. The scoring table awards 3 points for a win, 1 for a draw, 0 for a loss. How many points does the team have?", "choices": [ { "id": "a", "label": "24" }, { "id": "b", "label": "22" }, { "id": "c", "label": "18" }, { "id": "d", "label": "20" } ] }, { "id": "data-interpretation-s09-q09", "prompt": "A climate table shows a city receives 60 mm of rainfall in June. A gardening guide's table says the vegetable patch needs 90 mm per month, with any shortfall met by irrigation. How much irrigation is needed in June?", "choices": [ { "id": "a", "label": "20 mm" }, { "id": "b", "label": "25 mm" }, { "id": "c", "label": "30 mm" }, { "id": "d", "label": "35 mm" } ] }, { "id": "data-interpretation-s09-q10", "prompt": "Survey A found 58% of its 1,000 respondents support a new cycle lane. Survey B found 62% of its 500 respondents support it. How many supporters were counted across both surveys?", "choices": [ { "id": "a", "label": "900" }, { "id": "b", "label": "870" }, { "id": "c", "label": "850" }, { "id": "d", "label": "890" } ] } ] }, { "id": "data-interpretation-s10", "title": "Evidence-based conclusions and data pitfalls", "instructions": "Judge what the data genuinely supports, and spot misleading presentations.", "items": [ { "id": "data-interpretation-s10-q01", "prompt": "A table shows Company X's profits rose every year from 2021 to 2024 while its workforce shrank each year. Which conclusion does the data alone support?", "choices": [ { "id": "a", "label": "Cutting staff caused the profits to rise" }, { "id": "b", "label": "Profit and workforce size moved in opposite directions over the period" }, { "id": "c", "label": "Profits will continue to rise next year" }, { "id": "d", "label": "Each employee became more productive every year" } ] }, { "id": "data-interpretation-s10-q02", "prompt": "A safety chart shows that 12% of e-scooter riders wear helmets, and that scooter injuries doubled last year. Which conclusion can be drawn from the data alone?", "choices": [ { "id": "a", "label": "Low helmet use caused the rise in injuries" }, { "id": "b", "label": "Helmeted riders were not among the injured" }, { "id": "c", "label": "Helmet use declined last year" }, { "id": "d", "label": "The number of injuries rose last year" } ] }, { "id": "data-interpretation-s10-q03", "prompt": "A poster claims '80% of adults exercise three or more times a week', citing a survey of 300 gym members. What is the main flaw in generalising this figure to all adults?", "choices": [ { "id": "a", "label": "300 people is mathematically too few for any percentage" }, { "id": "b", "label": "Percentages from surveys can never be generalised" }, { "id": "c", "label": "Gym members are unlikely to be representative of all adults" }, { "id": "d", "label": "The survey should have reported a mean instead" } ] }, { "id": "data-interpretation-s10-q04", "prompt": "A trial table shows: treatment group of 400 people, 60 recovered within a week; placebo group of 100 people, 10 recovered within a week. Which statement is accurate?", "choices": [ { "id": "a", "label": "A higher proportion of the treatment group recovered (15% versus 10%)" }, { "id": "b", "label": "Six times as many recoveries proves the treatment is six times as effective" }, { "id": "c", "label": "The placebo group performed better than the treatment group" }, { "id": "d", "label": "The recovery rates of the two groups were equal" } ] }, { "id": "data-interpretation-s10-q05", "prompt": "A chart shows a town's average house price rose 8% last year. A columnist writes: 'Every house in the town is now worth 8% more.' How should this claim be judged against the data?", "choices": [ { "id": "a", "label": "The claim must be true, by definition of an average" }, { "id": "b", "label": "The claim must be false, because averages always hide falls" }, { "id": "c", "label": "The average could not have risen unless every price rose" }, { "id": "d", "label": "The claim is unsupported: an average can rise while individual prices vary" } ] }, { "id": "data-interpretation-s10-q06", "prompt": "A chart shows that ice-cream sales and swimming-related rescues both peak sharply in July. Which explanation is best supported?", "choices": [ { "id": "a", "label": "Eating ice cream makes swimming more dangerous" }, { "id": "b", "label": "Both are likely driven by a third factor, such as warm summer weather" }, { "id": "c", "label": "Rescue call-outs boost ice-cream sales" }, { "id": "d", "label": "The two figures matching must be a coincidence" } ] }, { "id": "data-interpretation-s10-q07", "prompt": "A bar chart's vertical axis starts at 90 rather than 0. Brand A's satisfaction bar reaches 94 and Brand B's reaches 98, so Brand B's bar looks twice as tall. Which reading is fair?", "choices": [ { "id": "a", "label": "Brand B's score is only slightly higher than Brand A's" }, { "id": "b", "label": "Brand B scored roughly twice as high as Brand A" }, { "id": "c", "label": "Brand A's score is close to zero" }, { "id": "d", "label": "A truncated chart makes any comparison impossible" } ] }, { "id": "data-interpretation-s10-q08", "prompt": "A punctuality table shows 91% of 20,000 weekday services ran on time, and 95% of 2,000 weekend services. A press release claims overall punctuality of 93%. How should the claim be judged?", "choices": [ { "id": "a", "label": "Correct: the average of 91 and 95 is 93" }, { "id": "b", "label": "The claim understates the true overall figure" }, { "id": "c", "label": "The claim overstates it. The weighted overall figure is about 91.4%" }, { "id": "d", "label": "The claim cannot be checked from the table" } ] }, { "id": "data-interpretation-s10-q09", "prompt": "A study table shows that participants who slept 7–8 hours scored higher on a test than those who slept under 6 hours. What can be concluded from this data alone?", "choices": [ { "id": "a", "label": "Sleeping more causes higher test scores" }, { "id": "b", "label": "In this study, sleep duration and test scores were associated" }, { "id": "c", "label": "Sleeping under 6 hours guarantees a lower score" }, { "id": "d", "label": "Higher test scores cause people to sleep longer" } ] }, { "id": "data-interpretation-s10-q10", "prompt": "A dashboard shows product returns fell from 8% to 6% of orders after a packaging redesign; no other information is given. Which is the strongest statement the data supports?", "choices": [ { "id": "a", "label": "Returns fell by two percentage points after the redesign" }, { "id": "b", "label": "The packaging redesign caused the fall in returns" }, { "id": "c", "label": "Returns will keep falling in future months" }, { "id": "d", "label": "Customers prefer the new packaging" } ] } ] } ] }, "authoredHints": { "title": "Authored hints", "policy": "This cognitive practice source does not publish authored hints. Every item is listed as missing a hint, and no hint text is generated or inferred.", "items": [], "missingItemIds": [ "data-interpretation-s01-q01", "data-interpretation-s01-q02", "data-interpretation-s01-q03", "data-interpretation-s01-q04", "data-interpretation-s01-q05", "data-interpretation-s01-q06", "data-interpretation-s01-q07", "data-interpretation-s01-q08", "data-interpretation-s01-q09", "data-interpretation-s01-q10", "data-interpretation-s02-q01", "data-interpretation-s02-q02", "data-interpretation-s02-q03", "data-interpretation-s02-q04", "data-interpretation-s02-q05", "data-interpretation-s02-q06", "data-interpretation-s02-q07", "data-interpretation-s02-q08", "data-interpretation-s02-q09", "data-interpretation-s02-q10", "data-interpretation-s03-q01", "data-interpretation-s03-q02", "data-interpretation-s03-q03", "data-interpretation-s03-q04", "data-interpretation-s03-q05", "data-interpretation-s03-q06", "data-interpretation-s03-q07", "data-interpretation-s03-q08", 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"itemId": "data-interpretation-s01-q08", "correctChoiceId": "d", "correctChoiceLabel": "Rulers" }, { "itemId": "data-interpretation-s01-q09", "correctChoiceId": "b", "correctChoiceLabel": "169" }, { "itemId": "data-interpretation-s01-q10", "correctChoiceId": "c", "correctChoiceLabel": "81" }, { "itemId": "data-interpretation-s02-q01", "correctChoiceId": "c", "correctChoiceLabel": "25" }, { "itemId": "data-interpretation-s02-q02", "correctChoiceId": "a", "correctChoiceLabel": "18–35 and 36–50" }, { "itemId": "data-interpretation-s02-q03", "correctChoiceId": "d", "correctChoiceLabel": "197" }, { "itemId": "data-interpretation-s02-q04", "correctChoiceId": "b", "correctChoiceLabel": "4" }, { "itemId": "data-interpretation-s02-q05", "correctChoiceId": "a", "correctChoiceLabel": "50" }, { "itemId": "data-interpretation-s02-q06", "correctChoiceId": "c", "correctChoiceLabel": "Mint" }, { "itemId": "data-interpretation-s02-q07", "correctChoiceId": "b", "correctChoiceLabel": "120" }, { "itemId": "data-interpretation-s02-q08", "correctChoiceId": "d", "correctChoiceLabel": "245 kg" }, { "itemId": "data-interpretation-s02-q09", "correctChoiceId": "d", "correctChoiceLabel": "Q4" }, { "itemId": "data-interpretation-s02-q10", "correctChoiceId": "a", "correctChoiceLabel": "Comet Trail and Harbour Lights" }, { "itemId": "data-interpretation-s03-q01", "correctChoiceId": "b", "correctChoiceLabel": "45%" }, { "itemId": "data-interpretation-s03-q02", "correctChoiceId": "d", "correctChoiceLabel": "200" }, { "itemId": "data-interpretation-s03-q03", "correctChoiceId": "a", "correctChoiceLabel": "1/4" }, { "itemId": "data-interpretation-s03-q04", "correctChoiceId": "c", "correctChoiceLabel": "45%" }, { "itemId": "data-interpretation-s03-q05", "correctChoiceId": "d", "correctChoiceLabel": "10%" }, { "itemId": "data-interpretation-s03-q06", "correctChoiceId": "b", "correctChoiceLabel": "128" }, { "itemId": "data-interpretation-s03-q07", "correctChoiceId": "a", "correctChoiceLabel": "30%" }, { "itemId": "data-interpretation-s03-q08", "correctChoiceId": "c", "correctChoiceLabel": "36" }, { "itemId": "data-interpretation-s03-q09", "correctChoiceId": "c", "correctChoiceLabel": "£180,000" }, { "itemId": "data-interpretation-s03-q10", "correctChoiceId": "b", "correctChoiceLabel": "13,000" }, { "itemId": "data-interpretation-s04-q01", "correctChoiceId": "d", "correctChoiceLabel": "April to May" }, { "itemId": "data-interpretation-s04-q02", "correctChoiceId": "c", "correctChoiceLabel": "15:00" }, { "itemId": "data-interpretation-s04-q03", "correctChoiceId": "b", "correctChoiceLabel": "2" }, { "itemId": "data-interpretation-s04-q04", "correctChoiceId": "a", "correctChoiceLabel": "2,400" }, { "itemId": "data-interpretation-s04-q05", "correctChoiceId": "c", "correctChoiceLabel": "400" }, { "itemId": "data-interpretation-s04-q06", "correctChoiceId": "d", "correctChoiceLabel": "Q4" }, { "itemId": "data-interpretation-s04-q07", "correctChoiceId": "a", "correctChoiceLabel": "60 litres" }, { "itemId": "data-interpretation-s04-q08", "correctChoiceId": "b", "correctChoiceLabel": "4,000" }, { "itemId": "data-interpretation-s04-q09", "correctChoiceId": "a", "correctChoiceLabel": "2020" }, { "itemId": "data-interpretation-s04-q10", "correctChoiceId": "d", "correctChoiceLabel": "120" }, { "itemId": "data-interpretation-s05-q01", "correctChoiceId": "a", "correctChoiceLabel": "66" }, { "itemId": "data-interpretation-s05-q02", "correctChoiceId": "b", "correctChoiceLabel": "46" }, { "itemId": "data-interpretation-s05-q03", "correctChoiceId": "d", "correctChoiceLabel": "480" }, { "itemId": "data-interpretation-s05-q04", "correctChoiceId": "c", "correctChoiceLabel": "14" }, { "itemId": "data-interpretation-s05-q05", "correctChoiceId": "b", "correctChoiceLabel": "24 km/h" }, { "itemId": "data-interpretation-s05-q06", "correctChoiceId": "a", "correctChoiceLabel": "280" }, { "itemId": "data-interpretation-s05-q07", "correctChoiceId": "d", "correctChoiceLabel": "25 mm" }, { "itemId": "data-interpretation-s05-q08", "correctChoiceId": "c", "correctChoiceLabel": "8" }, { "itemId": "data-interpretation-s05-q09", "correctChoiceId": "b", "correctChoiceLabel": "14 minutes" }, { "itemId": "data-interpretation-s05-q10", "correctChoiceId": "d", "correctChoiceLabel": "£13" }, { "itemId": "data-interpretation-s06-q01", "correctChoiceId": "c", "correctChoiceLabel": "£300" }, { "itemId": "data-interpretation-s06-q02", "correctChoiceId": "d", "correctChoiceLabel": "25%" }, { "itemId": "data-interpretation-s06-q03", "correctChoiceId": "a", "correctChoiceLabel": "120" }, { "itemId": "data-interpretation-s06-q04", "correctChoiceId": "b", "correctChoiceLabel": "20" }, { "itemId": "data-interpretation-s06-q05", "correctChoiceId": "d", "correctChoiceLabel": "10" }, { "itemId": "data-interpretation-s06-q06", "correctChoiceId": "c", "correctChoiceLabel": "£15,000" }, { "itemId": "data-interpretation-s06-q07", "correctChoiceId": "b", "correctChoiceLabel": "480" }, { "itemId": "data-interpretation-s06-q08", "correctChoiceId": "a", "correctChoiceLabel": "90" }, { "itemId": "data-interpretation-s06-q09", "correctChoiceId": "c", "correctChoiceLabel": "Cake and fruit" }, { "itemId": "data-interpretation-s06-q10", "correctChoiceId": "a", "correctChoiceLabel": "£13,500" }, { "itemId": "data-interpretation-s07-q01", "correctChoiceId": "b", "correctChoiceLabel": "£9.40" }, { "itemId": "data-interpretation-s07-q02", "correctChoiceId": "a", "correctChoiceLabel": "£305" }, { "itemId": "data-interpretation-s07-q03", "correctChoiceId": "c", "correctChoiceLabel": "£484" }, { "itemId": "data-interpretation-s07-q04", "correctChoiceId": "d", "correctChoiceLabel": "375" }, { "itemId": "data-interpretation-s07-q05", "correctChoiceId": "a", "correctChoiceLabel": "£58.80" }, { "itemId": "data-interpretation-s07-q06", "correctChoiceId": "b", "correctChoiceLabel": "£36.25" }, { "itemId": "data-interpretation-s07-q07", "correctChoiceId": "d", "correctChoiceLabel": "€138" }, { "itemId": "data-interpretation-s07-q08", "correctChoiceId": "c", "correctChoiceLabel": "720" }, { "itemId": "data-interpretation-s07-q09", "correctChoiceId": "a", "correctChoiceLabel": "£1.30" }, { "itemId": "data-interpretation-s07-q10", "correctChoiceId": "c", "correctChoiceLabel": "£145" }, { "itemId": "data-interpretation-s08-q01", "correctChoiceId": "d", "correctChoiceLabel": "10%" }, { "itemId": "data-interpretation-s08-q02", "correctChoiceId": "b", "correctChoiceLabel": "15%" }, { "itemId": "data-interpretation-s08-q03", "correctChoiceId": "a", "correctChoiceLabel": "£59.80" }, { "itemId": "data-interpretation-s08-q04", "correctChoiceId": "c", "correctChoiceLabel": "4% lower" }, { "itemId": "data-interpretation-s08-q05", "correctChoiceId": "b", "correctChoiceLabel": "25%" }, { "itemId": "data-interpretation-s08-q06", "correctChoiceId": "d", "correctChoiceLabel": "£60" }, { "itemId": "data-interpretation-s08-q07", "correctChoiceId": "c", "correctChoiceLabel": "10%" }, { "itemId": "data-interpretation-s08-q08", "correctChoiceId": "a", "correctChoiceLabel": "25%" }, { "itemId": "data-interpretation-s08-q09", "correctChoiceId": "d", "correctChoiceLabel": "£2.0 million" }, { "itemId": "data-interpretation-s08-q10", "correctChoiceId": "b", "correctChoiceLabel": "3,960 kWh" }, { "itemId": "data-interpretation-s09-q01", "correctChoiceId": "a", "correctChoiceLabel": "The two days were equal" }, { "itemId": "data-interpretation-s09-q02", "correctChoiceId": "c", "correctChoiceLabel": "£3,000" }, { "itemId": "data-interpretation-s09-q03", "correctChoiceId": "d", "correctChoiceLabel": "North, at 5%" }, { "itemId": "data-interpretation-s09-q04", "correctChoiceId": "b", "correctChoiceLabel": "12:35" }, { "itemId": "data-interpretation-s09-q05", "correctChoiceId": "c", "correctChoiceLabel": "3" }, { "itemId": "data-interpretation-s09-q06", "correctChoiceId": "a", "correctChoiceLabel": "304" }, { "itemId": "data-interpretation-s09-q07", "correctChoiceId": "b", "correctChoiceLabel": "£510" }, { "itemId": "data-interpretation-s09-q08", "correctChoiceId": "d", "correctChoiceLabel": "20" }, { "itemId": "data-interpretation-s09-q09", "correctChoiceId": "c", "correctChoiceLabel": "30 mm" }, { "itemId": "data-interpretation-s09-q10", "correctChoiceId": "d", "correctChoiceLabel": "890" }, { "itemId": "data-interpretation-s10-q01", "correctChoiceId": "b", "correctChoiceLabel": "Profit and workforce size moved in opposite directions over the period" }, { "itemId": "data-interpretation-s10-q02", "correctChoiceId": "d", "correctChoiceLabel": "The number of injuries rose last year" }, { "itemId": "data-interpretation-s10-q03", "correctChoiceId": "c", "correctChoiceLabel": "Gym members are unlikely to be representative of all adults" }, { "itemId": "data-interpretation-s10-q04", "correctChoiceId": "a", "correctChoiceLabel": "A higher proportion of the treatment group recovered (15% versus 10%)" }, { "itemId": "data-interpretation-s10-q05", "correctChoiceId": "d", "correctChoiceLabel": "The claim is unsupported: an average can rise while individual prices vary" }, { "itemId": "data-interpretation-s10-q06", "correctChoiceId": "b", "correctChoiceLabel": "Both are likely driven by a third factor, such as warm summer weather" }, { "itemId": "data-interpretation-s10-q07", "correctChoiceId": "a", "correctChoiceLabel": "Brand B's score is only slightly higher than Brand A's" }, { "itemId": "data-interpretation-s10-q08", "correctChoiceId": "c", "correctChoiceLabel": "The claim overstates it. The weighted overall figure is about 91.4%" }, { "itemId": "data-interpretation-s10-q09", "correctChoiceId": "b", "correctChoiceLabel": "In this study, sleep duration and test scores were associated" }, { "itemId": "data-interpretation-s10-q10", "correctChoiceId": "a", "correctChoiceLabel": "Returns fell by two percentage points after the redesign" } ] }, "workedExplanations": { "title": "Worked explanations", "items": [ { "itemId": "data-interpretation-s01-q01", "explanation": "Locate the day you are asked about before reading any number. The Wednesday entry is 51 loans." }, { "itemId": "data-interpretation-s01-q02", "explanation": "Scan the whole column for the smallest value rather than stopping at the first low number. July's 20 mm is the minimum." }, { "itemId": "data-interpretation-s01-q03", "explanation": "Pick out only the two rows the question names, then subtract: £42 − £19 = £23." }, { "itemId": "data-interpretation-s01-q04", "explanation": "Add every row, checking you have not skipped the smallest one: 120 + 35 + 18 + 9 = 182." }, { "itemId": "data-interpretation-s01-q05", "explanation": "Compare all four periods individually rather than by day: Saturday afternoon's 340 is the highest single figure." }, { "itemId": "data-interpretation-s01-q06", "explanation": "Count every row that matches the exact value asked for. Year 8 and Year 10 both show 9, giving two groups." }, { "itemId": "data-interpretation-s01-q07", "explanation": "Check the gap between each neighbouring pair: 08:10 to 08:35 is 25 minutes, and the same gap repeats down the column." }, { "itemId": "data-interpretation-s01-q08", "explanation": "Read the quantity for every item before deciding: rulers, at 95, sit below all the others." }, { "itemId": "data-interpretation-s01-q09", "explanation": "Sum the three rows carefully: 58 + 84 + 27 = 169 cups." }, { "itemId": "data-interpretation-s01-q10", "explanation": "Match the label first, then the value. The Week 2 row reads 81 parcels, even though nearby weeks share similar figures." }, { "itemId": "data-interpretation-s02-q01", "explanation": "Take the two named bars and subtract the smaller from the larger: 45 − 20 = 25 units." }, { "itemId": "data-interpretation-s02-q02", "explanation": "Test each pairing against the target sum: 112 + 98 = 210, while the other pairings give 176, 144 and 110." }, { "itemId": "data-interpretation-s02-q03", "explanation": "First rank the days to find the top two (Sunday 105 and Wednesday 92), then add them: 105 + 92 = 197." }, { "itemId": "data-interpretation-s02-q04", "explanation": "A 'times as many' comparison is a division, not a subtraction: 120 ÷ 30 = 4." }, { "itemId": "data-interpretation-s02-q05", "explanation": "The gap to close is the difference between the bars: 340 − 290 = 50 units." }, { "itemId": "data-interpretation-s02-q06", "explanation": "Check each figure against the threshold, taking care with near-misses: only mint, at 38, falls below 40." }, { "itemId": "data-interpretation-s02-q07", "explanation": "Add all four bars, pairing numbers that make round sums to reduce slips: (28 + 22) + (34 + 36) = 50 + 70 = 120." }, { "itemId": "data-interpretation-s02-q08", "explanation": "Identify the extremes first (paper 340 kg and metal 95 kg), then subtract: 340 − 95 = 245 kg." }, { "itemId": "data-interpretation-s02-q09", "explanation": "Work out the target value first (180 + 60 = 240), then find which bar matches it, Q4." }, { "itemId": "data-interpretation-s02-q10", "explanation": "Compute each candidate difference rather than estimating: 420 − 385 = 35, while the other pairings give 75, 15 and 125." }, { "itemId": "data-interpretation-s03-q01", "explanation": "Divide the part by the whole and multiply by 100: 90 ÷ 200 = 0.45, which is 45%." }, { "itemId": "data-interpretation-s03-q02", "explanation": "The question asks for the survivors, so use the remaining 80%: 0.80 × 250 = 200." }, { "itemId": "data-interpretation-s03-q03", "explanation": "Write the part over the whole and simplify: 60/240 reduces to 1/4." }, { "itemId": "data-interpretation-s03-q04", "explanation": "Total the votes first (10,000), then divide: 4,500 ÷ 10,000 = 45%. A percentage always needs the full total as its base." }, { "itemId": "data-interpretation-s03-q05", "explanation": "Category percentages of one whole must sum to 100, so the walkers make up 100 − (35 + 25 + 30) = 10%." }, { "itemId": "data-interpretation-s03-q06", "explanation": "Convert the percentage to a decimal and multiply: 0.40 × 320 = 128." }, { "itemId": "data-interpretation-s03-q07", "explanation": "Divide the late orders by the total: 45 ÷ 150 = 0.30, so 30%, the raw count of 45 is not itself the percentage." }, { "itemId": "data-interpretation-s03-q08", "explanation": "Scale the ratio to the actual total: 96 ÷ 8 = 12 groups of eight, and 12 × 3 = 36 pupils." }, { "itemId": "data-interpretation-s03-q09", "explanation": "Apply the ticket-sales share to the total: 0.30 × £600,000 = £180,000." }, { "itemId": "data-interpretation-s03-q10", "explanation": "Here the part is known and the whole is missing, so divide by the percentage: 5,200 ÷ 0.40 = 13,000 visitors." }, { "itemId": "data-interpretation-s04-q01", "explanation": "Work out each month-on-month change (+1,000; +2,000; −1,000; +3,000): the biggest increase, +3,000, is from April to May." }, { "itemId": "data-interpretation-s04-q02", "explanation": "A peak is the highest point before the series turns downward: 16°C at 15:00, after which the reading falls." }, { "itemId": "data-interpretation-s04-q03", "explanation": "Compare each day with its predecessor: Tuesday and Wednesday rose, Thursday fell, so the level rose on two days." }, { "itemId": "data-interpretation-s04-q04", "explanation": "The series climbs by a constant 300 each year, so extending the pattern gives 2,100 + 300 = 2,400." }, { "itemId": "data-interpretation-s04-q05", "explanation": "The fall is a constant 80 per week, so week 4 is projected at 480 − 80 = 400." }, { "itemId": "data-interpretation-s04-q06", "explanation": "Measure the size of each change regardless of direction: +£3,000 into Q2, −£6,000 into Q3, and +£9,000 into Q4, the largest." }, { "itemId": "data-interpretation-s04-q07", "explanation": "Between day 1 and day 5 there are four daily steps, not five, so divide the total fall by 4: (900 − 660) ÷ 4 = 60 litres." }, { "itemId": "data-interpretation-s04-q08", "explanation": "A doubling pattern is multiplicative, not additive: 2,000 × 2 = 4,000 for June." }, { "itemId": "data-interpretation-s04-q09", "explanation": "An isolated sharp drop that largely reverses the following year is the signature of an outlier caused by a one-off event, not a genuine trend change." }, { "itemId": "data-interpretation-s04-q10", "explanation": "The rise is 160 cars over 4 hours, or 40 per hour; two hours in, occupancy is 40 + (2 × 40) = 120." }, { "itemId": "data-interpretation-s05-q01", "explanation": "Total the scores and divide by how many there are: 330 ÷ 5 = 66." }, { "itemId": "data-interpretation-s05-q02", "explanation": "Add the four values (184) and divide by 4 to get 46 deliveries per day." }, { "itemId": "data-interpretation-s05-q03", "explanation": "Scale the rate to the time asked for: 30 minutes is half an hour, so an hour yields 240 × 2 = 480 bottles." }, { "itemId": "data-interpretation-s05-q04", "explanation": "Sort the values first (7, 12, 14, 18, 25); the median is the middle entry of the sorted list, 14." }, { "itemId": "data-interpretation-s05-q05", "explanation": "Average speed is distance divided by time: 84 ÷ 3.5 = 24 km/h." }, { "itemId": "data-interpretation-s05-q06", "explanation": "A mean can be reversed into a total by multiplying by the number of periods: 40 × 7 = 280 calls." }, { "itemId": "data-interpretation-s05-q07", "explanation": "Rebuild the total from the mean (22 × 4 = 88 mm), then subtract the known weeks: 88 − 63 = 25 mm." }, { "itemId": "data-interpretation-s05-q08", "explanation": "The mode is the most frequent value: size 8 appears three times, more than any other." }, { "itemId": "data-interpretation-s05-q09", "explanation": "Divide the job size by the rate: 630 ÷ 45 = 14 minutes." }, { "itemId": "data-interpretation-s05-q10", "explanation": "Weight each rate by how many staff earn it: (3 × £12 + 1 × £16) ÷ 4 = £52 ÷ 4 = £13, not the midpoint of the two rates." }, { "itemId": "data-interpretation-s06-q01", "explanation": "Apply the slice's percentage to the whole: 0.15 × £2,000 = £300." }, { "itemId": "data-interpretation-s06-q02", "explanation": "A full circle is 360°, so divide the angle by 360: 90 ÷ 360 = 1/4, which is 25%." }, { "itemId": "data-interpretation-s06-q03", "explanation": "The segment is 120/360 = one third of the circle, and one third of 360 members is 120." }, { "itemId": "data-interpretation-s06-q04", "explanation": "Slices of one pie must total 100%, so x = 100 − (40 + 35 + 5) = 20." }, { "itemId": "data-interpretation-s06-q05", "explanation": "Driving takes 40 and cycling 20, leaving 20 employees; split equally, walking accounts for 10 of them." }, { "itemId": "data-interpretation-s06-q06", "explanation": "Percentages from different-sized wholes cannot be compared directly. Convert each to an amount first: £27,000 − £12,000 = £15,000." }, { "itemId": "data-interpretation-s06-q07", "explanation": "Multiply the share by the total number of votes: 0.40 × 1,200 = 480." }, { "itemId": "data-interpretation-s06-q08", "explanation": "Convert the angle to a fraction of the circle (45/360 = 1/8), then take that fraction of the total: 720 ÷ 8 = 90." }, { "itemId": "data-interpretation-s06-q09", "explanation": "Add each candidate pair of shares and look for 50%: cake plus fruit gives 30 + 20 = 50%." }, { "itemId": "data-interpretation-s06-q10", "explanation": "Apply the percentage to the amount raised: 0.09 × £150,000 = £13,500. A 9% share is not the same as £9,000." }, { "itemId": "data-interpretation-s07-q01", "explanation": "Cost each line separately, then add: (3 × £2.40) + (2 × £1.10) = £7.20 + £2.20 = £9.40, ignoring the folder entirely." }, { "itemId": "data-interpretation-s07-q02", "explanation": "Classify each night against the table's bands before pricing it: £85 + £110 + £110 = £305." }, { "itemId": "data-interpretation-s07-q03", "explanation": "Work out each pay component at its own rate: 38 × £11 = £418, and overtime at £16.50 gives 4 × £16.50 = £66, totalling £484." }, { "itemId": "data-interpretation-s07-q04", "explanation": "Apply each movement with the correct sign: 500 + 240 − 380 + 15 = 375. Returns come back into stock, so they are added." }, { "itemId": "data-interpretation-s07-q05", "explanation": "Calculate the two parts separately and convert pence to pounds: £8.40 standing charge + £50.40 usage = £58.80." }, { "itemId": "data-interpretation-s07-q06", "explanation": "Apply the discount only where the table allows it: adults cost £29.00 × 0.75 = £21.75, children £14.50, giving £36.25." }, { "itemId": "data-interpretation-s07-q07", "explanation": "Convert first, then subtract in the same currency: £400 × 1.15 = €460, and €460 − €322 = €138." }, { "itemId": "data-interpretation-s07-q08", "explanation": "Multiply each line's rate by its own running time before adding: (60 × 6) + (45 × 8) = 360 + 360 = 720 units." }, { "itemId": "data-interpretation-s07-q09", "explanation": "Price the items separately (£8.95 + £3.05 + £1.80 = £13.80), then subtract the deal price: £13.80 − £12.50 = £1.30." }, { "itemId": "data-interpretation-s07-q10", "explanation": "Combine the fixed and variable charges: (2 × £45) + (250 × £0.22) = £90 + £55 = £145." }, { "itemId": "data-interpretation-s08-q01", "explanation": "Divide the change by the original value: £18,000 ÷ £180,000 = 0.10, a 10% increase." }, { "itemId": "data-interpretation-s08-q02", "explanation": "The fall of 3,750 is measured against the starting figure: 3,750 ÷ 25,000 = 15%." }, { "itemId": "data-interpretation-s08-q03", "explanation": "An index of 130 against a base of 100 means multiplying by 1.30: £46 × 1.30 = £59.80." }, { "itemId": "data-interpretation-s08-q04", "explanation": "Equal percentage rises and falls do not cancel because they act on different bases: 1.20 × 0.80 = 0.96, which is 4% below the start." }, { "itemId": "data-interpretation-s08-q05", "explanation": "Use the original figure as the base, not the new one: 2,000 ÷ 8,000 = 25%." }, { "itemId": "data-interpretation-s08-q06", "explanation": "The sale price is 70% of the original, so divide rather than add 30% back on: £42 ÷ 0.70 = £60." }, { "itemId": "data-interpretation-s08-q07", "explanation": "Between two index readings, the base is the earlier reading, not 100: (121 − 110) ÷ 110 = 10%." }, { "itemId": "data-interpretation-s08-q08", "explanation": "The growth of 16,000 is divided by the starting population: 16,000 ÷ 64,000 = 25%." }, { "itemId": "data-interpretation-s08-q09", "explanation": "This year is 120% of last year, so divide by 1.20: £2.4m ÷ 1.2 = £2.0m, subtracting 20% of £2.4m would use the wrong base." }, { "itemId": "data-interpretation-s08-q10", "explanation": "A 12% fall leaves 88% of the original: 4,500 × 0.88 = 3,960 kWh." }, { "itemId": "data-interpretation-s09-q01", "explanation": "Multiply each day's visitors by its own rate before comparing: Monday 400 × 10% = 40 and Tuesday 500 × 8% = 40, the same." }, { "itemId": "data-interpretation-s09-q02", "explanation": "Revenue joins the two sources by multiplication: 240 units × £12.50 = £3,000." }, { "itemId": "data-interpretation-s09-q03", "explanation": "Raw membership counts mislead when populations differ: compute each rate: North 2,500/50,000 = 5% beats South's 3,200/80,000 = 4%." }, { "itemId": "data-interpretation-s09-q04", "explanation": "Chain the times step by step: 10:40 + 1:35 = 12:15 arrival, and adding the 20-minute wait gives 12:35." }, { "itemId": "data-interpretation-s09-q05", "explanation": "Combine the capacity first (2 × 30 = 60 hours per week), then divide the workload: 180 ÷ 60 = 3 weeks." }, { "itemId": "data-interpretation-s09-q06", "explanation": "Apply the unsold rate from one chart to the volume from the other: 95% of 320 = 304 loaves sold." }, { "itemId": "data-interpretation-s09-q07", "explanation": "Take 15% of the reference price and subtract it: £600 − £90 = £510." }, { "itemId": "data-interpretation-s09-q08", "explanation": "Multiply each result count by its points value and sum: (6 × 3) + (2 × 1) + (2 × 0) = 20 points." }, { "itemId": "data-interpretation-s09-q09", "explanation": "The irrigation requirement is the gap between need and supply: 90 − 60 = 30 mm." }, { "itemId": "data-interpretation-s09-q10", "explanation": "Convert each percentage to a count before adding, 580 + 310 = 890, because percentages from different sample sizes cannot be added directly." }, { "itemId": "data-interpretation-s10-q01", "explanation": "The table establishes only that the two series moved oppositely; causation, forecasts, and per-employee productivity all require information the table does not contain." }, { "itemId": "data-interpretation-s10-q02", "explanation": "Only the direct restatement of a figure is safe: doubling means injuries rose. Linking the two statistics causally, or inferring who was injured, goes beyond the chart." }, { "itemId": "data-interpretation-s10-q03", "explanation": "The problem is selection bias: people sampled at a gym are far more likely to exercise than the general adult population, whatever the sample size." }, { "itemId": "data-interpretation-s10-q04", "explanation": "With unequal group sizes, compare rates, not raw counts: 60/400 = 15% against 10/100 = 10%. The sixfold count difference mostly reflects the fourfold group-size difference." }, { "itemId": "data-interpretation-s10-q05", "explanation": "An average summarises the whole distribution: some prices may have fallen while larger rises elsewhere pulled the mean up, so no claim about every house follows." }, { "itemId": "data-interpretation-s10-q06", "explanation": "When two series move together, consider a common cause before assuming one drives the other, hot weather plausibly increases both swimming and ice-cream sales." }, { "itemId": "data-interpretation-s10-q07", "explanation": "A truncated axis exaggerates small gaps, so read the actual values instead of the bar heights: 98 versus 94 is a difference of only four points." }, { "itemId": "data-interpretation-s10-q08", "explanation": "An overall rate must weight each group by its size: (18,200 + 1,900) ÷ 22,000 ≈ 91.4%. Averaging the two percentages ignores that weekday services outnumber weekend ones tenfold." }, { "itemId": "data-interpretation-s10-q09", "explanation": "Observational data shows association only: either variable could influence the other, or something else could influence both, so only the association itself is a safe conclusion." }, { "itemId": "data-interpretation-s10-q10", "explanation": "Without a controlled comparison, only the descriptive before-and-after change is defensible; causes, preferences, and forecasts would each need evidence the dashboard does not provide." } ] } }