Learn by Novus · Open practice pack v1

Data interpretation: tables, charts, and conclusions: open practice pack: worked explanations

100 untimed questions across 10 authored sections.

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.

Worked explanations

data-interpretation-s01-q01

Locate the day you are asked about before reading any number. The Wednesday entry is 51 loans.

data-interpretation-s01-q02

Scan the whole column for the smallest value rather than stopping at the first low number. July's 20 mm is the minimum.

data-interpretation-s01-q03

Pick out only the two rows the question names, then subtract: £42 − £19 = £23.

data-interpretation-s01-q04

Add every row, checking you have not skipped the smallest one: 120 + 35 + 18 + 9 = 182.

data-interpretation-s01-q05

Compare all four periods individually rather than by day: Saturday afternoon's 340 is the highest single figure.

data-interpretation-s01-q06

Count every row that matches the exact value asked for. Year 8 and Year 10 both show 9, giving two groups.

data-interpretation-s01-q07

Check the gap between each neighbouring pair: 08:10 to 08:35 is 25 minutes, and the same gap repeats down the column.

data-interpretation-s01-q08

Read the quantity for every item before deciding: rulers, at 95, sit below all the others.

data-interpretation-s01-q09

Sum the three rows carefully: 58 + 84 + 27 = 169 cups.

data-interpretation-s01-q10

Match the label first, then the value. The Week 2 row reads 81 parcels, even though nearby weeks share similar figures.

data-interpretation-s02-q01

Take the two named bars and subtract the smaller from the larger: 45 − 20 = 25 units.

data-interpretation-s02-q02

Test each pairing against the target sum: 112 + 98 = 210, while the other pairings give 176, 144 and 110.

data-interpretation-s02-q03

First rank the days to find the top two (Sunday 105 and Wednesday 92), then add them: 105 + 92 = 197.

data-interpretation-s02-q04

A 'times as many' comparison is a division, not a subtraction: 120 ÷ 30 = 4.

data-interpretation-s02-q05

The gap to close is the difference between the bars: 340 − 290 = 50 units.

data-interpretation-s02-q06

Check each figure against the threshold, taking care with near-misses: only mint, at 38, falls below 40.

data-interpretation-s02-q07

Add all four bars, pairing numbers that make round sums to reduce slips: (28 + 22) + (34 + 36) = 50 + 70 = 120.

data-interpretation-s02-q08

Identify the extremes first (paper 340 kg and metal 95 kg), then subtract: 340 − 95 = 245 kg.

data-interpretation-s02-q09

Work out the target value first (180 + 60 = 240), then find which bar matches it, Q4.

data-interpretation-s02-q10

Compute each candidate difference rather than estimating: 420 − 385 = 35, while the other pairings give 75, 15 and 125.

data-interpretation-s03-q01

Divide the part by the whole and multiply by 100: 90 ÷ 200 = 0.45, which is 45%.

data-interpretation-s03-q02

The question asks for the survivors, so use the remaining 80%: 0.80 × 250 = 200.

data-interpretation-s03-q03

Write the part over the whole and simplify: 60/240 reduces to 1/4.

data-interpretation-s03-q04

Total the votes first (10,000), then divide: 4,500 ÷ 10,000 = 45%. A percentage always needs the full total as its base.

data-interpretation-s03-q05

Category percentages of one whole must sum to 100, so the walkers make up 100 − (35 + 25 + 30) = 10%.

data-interpretation-s03-q06

Convert the percentage to a decimal and multiply: 0.40 × 320 = 128.

data-interpretation-s03-q07

Divide the late orders by the total: 45 ÷ 150 = 0.30, so 30%, the raw count of 45 is not itself the percentage.

data-interpretation-s03-q08

Scale the ratio to the actual total: 96 ÷ 8 = 12 groups of eight, and 12 × 3 = 36 pupils.

data-interpretation-s03-q09

Apply the ticket-sales share to the total: 0.30 × £600,000 = £180,000.

data-interpretation-s03-q10

Here the part is known and the whole is missing, so divide by the percentage: 5,200 ÷ 0.40 = 13,000 visitors.

data-interpretation-s04-q01

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.

data-interpretation-s04-q02

A peak is the highest point before the series turns downward: 16°C at 15:00, after which the reading falls.

data-interpretation-s04-q03

Compare each day with its predecessor: Tuesday and Wednesday rose, Thursday fell, so the level rose on two days.

data-interpretation-s04-q04

The series climbs by a constant 300 each year, so extending the pattern gives 2,100 + 300 = 2,400.

data-interpretation-s04-q05

The fall is a constant 80 per week, so week 4 is projected at 480 − 80 = 400.

data-interpretation-s04-q06

Measure the size of each change regardless of direction: +£3,000 into Q2, −£6,000 into Q3, and +£9,000 into Q4, the largest.

data-interpretation-s04-q07

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.

data-interpretation-s04-q08

A doubling pattern is multiplicative, not additive: 2,000 × 2 = 4,000 for June.

data-interpretation-s04-q09

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.

data-interpretation-s04-q10

The rise is 160 cars over 4 hours, or 40 per hour; two hours in, occupancy is 40 + (2 × 40) = 120.

data-interpretation-s05-q01

Total the scores and divide by how many there are: 330 ÷ 5 = 66.

data-interpretation-s05-q02

Add the four values (184) and divide by 4 to get 46 deliveries per day.

data-interpretation-s05-q03

Scale the rate to the time asked for: 30 minutes is half an hour, so an hour yields 240 × 2 = 480 bottles.

data-interpretation-s05-q04

Sort the values first (7, 12, 14, 18, 25); the median is the middle entry of the sorted list, 14.

data-interpretation-s05-q05

Average speed is distance divided by time: 84 ÷ 3.5 = 24 km/h.

data-interpretation-s05-q06

A mean can be reversed into a total by multiplying by the number of periods: 40 × 7 = 280 calls.

data-interpretation-s05-q07

Rebuild the total from the mean (22 × 4 = 88 mm), then subtract the known weeks: 88 − 63 = 25 mm.

data-interpretation-s05-q08

The mode is the most frequent value: size 8 appears three times, more than any other.

data-interpretation-s05-q09

Divide the job size by the rate: 630 ÷ 45 = 14 minutes.

data-interpretation-s05-q10

Weight each rate by how many staff earn it: (3 × £12 + 1 × £16) ÷ 4 = £52 ÷ 4 = £13, not the midpoint of the two rates.

data-interpretation-s06-q01

Apply the slice's percentage to the whole: 0.15 × £2,000 = £300.

data-interpretation-s06-q02

A full circle is 360°, so divide the angle by 360: 90 ÷ 360 = 1/4, which is 25%.

data-interpretation-s06-q03

The segment is 120/360 = one third of the circle, and one third of 360 members is 120.

data-interpretation-s06-q04

Slices of one pie must total 100%, so x = 100 − (40 + 35 + 5) = 20.

data-interpretation-s06-q05

Driving takes 40 and cycling 20, leaving 20 employees; split equally, walking accounts for 10 of them.

data-interpretation-s06-q06

Percentages from different-sized wholes cannot be compared directly. Convert each to an amount first: £27,000 − £12,000 = £15,000.

data-interpretation-s06-q07

Multiply the share by the total number of votes: 0.40 × 1,200 = 480.

data-interpretation-s06-q08

Convert the angle to a fraction of the circle (45/360 = 1/8), then take that fraction of the total: 720 ÷ 8 = 90.

data-interpretation-s06-q09

Add each candidate pair of shares and look for 50%: cake plus fruit gives 30 + 20 = 50%.

data-interpretation-s06-q10

Apply the percentage to the amount raised: 0.09 × £150,000 = £13,500. A 9% share is not the same as £9,000.

data-interpretation-s07-q01

Cost each line separately, then add: (3 × £2.40) + (2 × £1.10) = £7.20 + £2.20 = £9.40, ignoring the folder entirely.

data-interpretation-s07-q02

Classify each night against the table's bands before pricing it: £85 + £110 + £110 = £305.

data-interpretation-s07-q03

Work out each pay component at its own rate: 38 × £11 = £418, and overtime at £16.50 gives 4 × £16.50 = £66, totalling £484.

data-interpretation-s07-q04

Apply each movement with the correct sign: 500 + 240 − 380 + 15 = 375. Returns come back into stock, so they are added.

data-interpretation-s07-q05

Calculate the two parts separately and convert pence to pounds: £8.40 standing charge + £50.40 usage = £58.80.

data-interpretation-s07-q06

Apply the discount only where the table allows it: adults cost £29.00 × 0.75 = £21.75, children £14.50, giving £36.25.

data-interpretation-s07-q07

Convert first, then subtract in the same currency: £400 × 1.15 = €460, and €460 − €322 = €138.

data-interpretation-s07-q08

Multiply each line's rate by its own running time before adding: (60 × 6) + (45 × 8) = 360 + 360 = 720 units.

data-interpretation-s07-q09

Price the items separately (£8.95 + £3.05 + £1.80 = £13.80), then subtract the deal price: £13.80 − £12.50 = £1.30.

data-interpretation-s07-q10

Combine the fixed and variable charges: (2 × £45) + (250 × £0.22) = £90 + £55 = £145.

data-interpretation-s08-q01

Divide the change by the original value: £18,000 ÷ £180,000 = 0.10, a 10% increase.

data-interpretation-s08-q02

The fall of 3,750 is measured against the starting figure: 3,750 ÷ 25,000 = 15%.

data-interpretation-s08-q03

An index of 130 against a base of 100 means multiplying by 1.30: £46 × 1.30 = £59.80.

data-interpretation-s08-q04

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.

data-interpretation-s08-q05

Use the original figure as the base, not the new one: 2,000 ÷ 8,000 = 25%.

data-interpretation-s08-q06

The sale price is 70% of the original, so divide rather than add 30% back on: £42 ÷ 0.70 = £60.

data-interpretation-s08-q07

Between two index readings, the base is the earlier reading, not 100: (121 − 110) ÷ 110 = 10%.

data-interpretation-s08-q08

The growth of 16,000 is divided by the starting population: 16,000 ÷ 64,000 = 25%.

data-interpretation-s08-q09

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.

data-interpretation-s08-q10

A 12% fall leaves 88% of the original: 4,500 × 0.88 = 3,960 kWh.

data-interpretation-s09-q01

Multiply each day's visitors by its own rate before comparing: Monday 400 × 10% = 40 and Tuesday 500 × 8% = 40, the same.

data-interpretation-s09-q02

Revenue joins the two sources by multiplication: 240 units × £12.50 = £3,000.

data-interpretation-s09-q03

Raw membership counts mislead when populations differ: compute each rate: North 2,500/50,000 = 5% beats South's 3,200/80,000 = 4%.

data-interpretation-s09-q04

Chain the times step by step: 10:40 + 1:35 = 12:15 arrival, and adding the 20-minute wait gives 12:35.

data-interpretation-s09-q05

Combine the capacity first (2 × 30 = 60 hours per week), then divide the workload: 180 ÷ 60 = 3 weeks.

data-interpretation-s09-q06

Apply the unsold rate from one chart to the volume from the other: 95% of 320 = 304 loaves sold.

data-interpretation-s09-q07

Take 15% of the reference price and subtract it: £600 − £90 = £510.

data-interpretation-s09-q08

Multiply each result count by its points value and sum: (6 × 3) + (2 × 1) + (2 × 0) = 20 points.

data-interpretation-s09-q09

The irrigation requirement is the gap between need and supply: 90 − 60 = 30 mm.

data-interpretation-s09-q10

Convert each percentage to a count before adding, 580 + 310 = 890, because percentages from different sample sizes cannot be added directly.

data-interpretation-s10-q01

The table establishes only that the two series moved oppositely; causation, forecasts, and per-employee productivity all require information the table does not contain.

data-interpretation-s10-q02

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.

data-interpretation-s10-q03

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.

data-interpretation-s10-q04

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.

data-interpretation-s10-q05

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.

data-interpretation-s10-q06

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.

data-interpretation-s10-q07

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.

data-interpretation-s10-q08

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.

data-interpretation-s10-q09

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.

data-interpretation-s10-q10

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.