Free Traffic Enforcement Mathematical Reasoning Question and Answers — Questions and Answers

Question 1: What percentage of men to women are unemployed?

3:5
126:136 (Correct answer)
4:9
2:3

Correct answer: 126:136

To determine the ratio of unemployed men to women, you would typically refer to a provided data source (e.g., a table or chart). Assuming the numbers 126 and 136 represent the respective counts of unemployed men and women from that source, the ratio is directly expressed as 126:136. This ratio simplifies the comparison of the two groups based on their unemployment figures.

Question 2: What proportion of total output did benches make up throughout the course of the six years?

30.50%
45.00%
43.00%
40.50% (Correct answer)

Correct answer: 40.50%

To find the proportion of total output made up by benches, you first need to sum the total number of benches produced over the six years from the relevant data. Next, sum the total output of *all* items produced during the same six-year period. Finally, divide the total number of benches by the total overall output and multiply by 100 to express this proportion as a percentage.

Question 3: What percentage of Health employees would be female in three years if the number of women working there rises by 10% annually while the number of men stays the same?

64.40 (Correct answer)
74.40
44.40
54.40

Correct answer: 64.40

To solve this, you need the initial number of men and women in the Health department. The number of women will increase by 10% annually for three years, meaning their initial count is multiplied by (1.10)^3. The number of men remains constant. The new percentage of female employees is then calculated by dividing the new total number of women by the new total number of employees (men + new women) and multiplying by 100.

Question 4: Assume that year three's total production costs were £150,000. How much did it cost to produce one bench if one table cost £2.50 to make?

£5
£6
£10 (Correct answer)
£12

Correct answer: £10

First, determine the total number of benches and tables produced in year three from the accompanying data. Calculate the total cost for tables by multiplying the number of tables by £2.50. Subtract this table cost from the total production cost of £150,000 to find the total cost attributed to benches. Finally, divide the total cost for benches by the number of benches produced in year three to find the cost per bench.

Question 5: What percentage of those who took the test were unemployed, on average?

5%
10% (Correct answer)
15%
18%

Correct answer: 10%

To calculate the average percentage of unemployed test-takers, you would typically sum the total number of unemployed individuals who took the test across all relevant periods. Then, sum the total number of people who took the test over the same periods. Divide the total number of unemployed test-takers by the total number of test-takers, and multiply by 100 to get the average percentage.

Question 6: What was the difference between year five and year six's total bench and table production?

4,000
6,000
9,000
10,000 (Correct answer)

Correct answer: 10,000

To find the difference in total production, you must first sum the number of benches and tables produced in year five to get its total output. Repeat this process for year six to find its total output of benches and tables. The difference is then calculated by subtracting the smaller total production figure from the larger one.

Question 7: How many more men will work in the industry if there is a 20% increase in female engineers next year but no change in the number of men?

150,000
25,500
53,200
34,800 (Correct answer)

Correct answer: 34,800

The question explicitly states that there will be 'no change in the number of men' next year. Therefore, the number of men working in the industry will remain the same as its current figure. The value 34,800 must represent the current number of men in the industry, as provided in an unstated data source.

Free Traffic Enforcement Mathematical Reasoning Question and Answers

What percentage of men to women are unemployed?