Sales rose from 200 units to 250 units. What is the percentage increase?
The rise is 50, and 50 / 200 = 25%.
4 people finish a job in 6 days. How long would 6 people take at the same rate?
The job takes 24 person-days, and 24 / 6 = 4.
What is 15% of 360?
10% is 36 and 5% is 18, so 15% is 54.
A price including 20% VAT is 120. What is the price before VAT?
120 / 1.20 = 100. Taking 20% off 120 gives the wrong answer.
1 euro = 1.10 US dollars. How many euros is 550 dollars?
550 / 1.10 = 500.
What is the average of 12, 15, 18 and 25?
(12 + 15 + 18 + 25) / 4 = 70 / 4 = 17.5.
A team of 40 has men and women in the ratio 3 : 2. How many women are there?
5 parts make 40, so one part is 8, and women are 2 × 8 = 16.
Revenue is 80,000 and costs are 62,000. What is the profit margin as a share of revenue?
Profit is 18,000, and 18,000 / 80,000 = 22.5%.
A car uses 24 litres to drive 300 km. What is its consumption in litres per 100 km?
24 / 3 = 8 litres for every 100 km.
A price falls by 20%, then rises by 25%. What is the overall change?
0.8 × 1.25 = 1, so it is back to the original price.
What is the simple interest on 2,000 at 4% a year for 3 years?
2,000 × 0.04 × 3 = 240.
Someone works 7.5 hours a day, 5 days a week, at £12 an hour. What do they earn in a week?
7.5 × 5 = 37.5 hours, and 37.5 × £12 = £450.
About this test
- Numerical reasoning tests are used by employers, graduate schemes and banks to screen candidates.
- They are usually timed, with about a minute per question, and use percentages, ratios, averages and data from tables and charts.
- These are our own practice questions. A calculator is usually allowed in the real tests.
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