Civil Service Numerical Reasoning Test Graph and Chart Analysis

Question 1

A bar chart shows passport applications processed by HMPO across four quarters: Q1: 1.2 million, Q2: 1.8 million, Q3: 2.1 million, Q4: 1.5 million. What percentage of all applications were processed in Q3?

Accepted Answer

31.8%

Answer

Total applications = 1.2 + 1.8 + 2.1 + 1.5 = 6.6 million. Q3 percentage = (2.1 / 6.6) x 100 = 31.8% (to one decimal place).

Question 2

A line graph shows the unemployment rate falling steadily from 5.2% in January to 4.1% in June (6 months). What is the average monthly decrease in the unemployment rate?

Accepted Answer

0.22 percentage points

Answer

Total decrease = 5.2% minus 4.1% = 1.1 percentage points over 5 intervals (January to June = 5 month-to-month changes). Average monthly decrease = 1.1 / 5 = 0.22 percentage points.

Question 3

A pie chart shows a council's budget allocation: Education 38%, Social Care 22%, Transport 15%, Housing 12%, Other 13%. If the total budget is £84 million, how much is allocated to Social Care?

Accepted Answer

£18.48m

Answer

Social Care = 22% of £84 million = 0.22 x £84,000,000 = £18,480,000 = £18.48m.

Question 4

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?

Accepted Answer

9.0 percentage points increase

Answer

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.

Question 5

A dual-axis chart shows website visits (left axis, thousands) and online form completions (right axis, hundreds) for a government service. In March, visits were 45,000 and completions were 6,300. What was the conversion rate?

Accepted Answer

14%

Answer

Conversion rate = (completions / visits) x 100 = (6,300 / 45,000) x 100 = 14%.

Civil Service Numerical Reasoning Practice Test

Civil Service Numerical Reasoning Practice Test

Civil Service Numerical Reasoning Test Graph and Chart Analysis