Mixed Deck — All Civil Service Numerical Reasoning Test Topics Flashcards
100 cards from real Civil Service Numerical Reasoning Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 20 Mixed Deck — All Civil Service Numerical Reasoning Test Topics flashcards as text
Scores: 82, 76, 90, 68, 84. What is the mean?
Answer: 80
Sum = 82 + 76 + 90 + 68 + 84 = 400. Mean = 400 ÷ 5 = 80.
A house price rose by 8% last year and a further 5% this year. What is the overall percentage increase?
Answer: 13.4%
After 8%: price = 1.08P. After 5%: price = 1.05 × 1.08P = 1.134P. Overall increase = 13.4%.
A team of 8 staff members each costs £32,500 per year. The department's total staff budget is £300,000. How much remains after paying all 8 staff members?
Answer: £40,000
Total staff cost = 8 × £32,500 = £260,000; remaining budget = £300,000 - £260,000 = £40,000.
What is the missing number: 5, 10, 20, __, 80?
Answer: 40
Each term is multiplied by 2: 5, 10, 20, 40, 80.
Quarterly revenue: Q1 £110,000; Q2 £130,000; Q3 £95,000; Q4 £140,000. What is the average quarterly profit if total costs for the year were £360,000?
Answer: £28,750
Total revenue = £475,000. Annual profit = £475,000 − £360,000 = £115,000. Quarterly average = £115,000 ÷ 4 = £28,750.
A stacked bar chart shows male and female employees in a department over three years. In 2024, there were 340 males and 410 females. In 2022, there were 380 males and 320 females. What was the change in the proportion of female employees from 2022 to 2024?
Answer: 9.0 percentage points increase
2022 female proportion: 320 / (380+320) = 320 / 700 = 45.7%. 2024 female proportion: 410 / (340+410) = 410 / 750 = 54.7%. Change = 54.7% minus 45.7% = 9.0 percentage points increase.
Total costs are split: fixed costs £12,000 and variable costs £8,400. Revenue is £26,000. What is the profit?
Answer: £5,600
Total costs = £20,400. Profit = £26,000 − £20,400 = £5,600.
A vehicle travels 75 miles at 50 mph, then 90 miles at 60 mph. What is the total journey time?
Answer: 3 hours
First leg: 75 ÷ 50 = 1.5 hours. Second leg: 90 ÷ 60 = 1.5 hours. Total = 3 hours.
A project had a budget of £200,000. Actual costs were £185,000. By what percentage was it under budget?
Answer: 7.5%
Saving = £15,000. (15,000 ÷ 200,000) × 100 = 7.5%.
A ratio problem: If 3 printers produce 270 pages per hour, how many pages would 7 printers produce in an hour?
Answer: 630
Each printer produces 270 ÷ 3 = 90 pages/hour. 7 printers = 7 × 90 = 630 pages/hour.
A data set contains: 3, 3, 7, 7, 7, 9, 9. Which measure of average is 7?
Answer: Mean, median, and mode are all 7
Mean = (3+3+7+7+7+9+9) ÷ 7 = 45 ÷ 7 ≈ 6.43. Median = 7 (middle value). Mode = 7 (most frequent). So median and mode = 7, not mean.
What is the next term: 100, 50, 25, 12.5, __?
Answer: 6.25
Each term is halved: 12.5 ÷ 2 = 6.25.
A government survey has a sample size of 1,600 and finds 52% support for a policy. The margin of error is plus or minus 2.5%. What is the confidence interval for the true level of support?
Answer: 49.5% to 54.5%
Confidence interval = survey result plus or minus margin of error = 52% plus or minus 2.5% = 49.5% to 54.5%. This means we can be confident the true support level falls within this range.
A department must reduce its £420,000 budget by £63,000. What percentage reduction does this represent?
Answer: 15%
Percentage reduction = £63,000 ÷ £420,000 × 100 = 15%.
A performance table shows five teams' output scores: Team 1: 87, Team 2: 92, Team 3: 78, Team 4: 95, Team 5: 83. What is the mean score across all teams?
Answer: 87
Mean = (87 + 92 + 78 + 95 + 83) / 5 = 435 / 5 = 87. The mean is the sum of all values divided by the number of values.
A dataset has values: 8, 12, 15, 7, 10, 18, 12, 9. What is the range?
Answer: 11
Range = highest − lowest = 18 − 7 = 11.
A line graph shows a value starting at 400 in Year 1 and ending at 550 in Year 5. Assuming constant annual increase, how much does it increase each year?
Answer: 37.5
Total increase = 150. Number of intervals from Year 1 to Year 5 = 4. Annual increase = 150 ÷ 4 = 37.5.
Two cars start at the same point and travel in opposite directions. Car A travels at 60 mph and Car B at 40 mph. After 2 hours, how far apart are they?
Answer: 200 miles
Car A travels 60 × 2 = 120 miles. Car B travels 40 × 2 = 80 miles. Total distance = 120 + 80 = 200 miles.
A workforce of 500 is 60% female. How many male workers are there?
Answer: 200
If 60% are female, 40% are male. 40% of 500 = 200.
What is the missing number: 7, 14, __, 56, 112?
Answer: 28
Each term is doubled: 7, 14, 28, 56, 112.