Master Workplace Maths: Online Quizzes for Advanced Diploma in Public Services

Question 1

A rectangular garden measures 12 meters long and 6 meters wide. What is the area of the garden in square meters?

Accepted Answer

36 square meters

Answer

18 square meters

Answer

24 square meters

Answer

30 square meters

Question 2

A company invests £12,000 for 4 years at an interest rate of 3% per annum. What is the total amount of interest earned after 4 years?

Accepted Answer

£720

Answer

£480

Answer

£960

Answer

£1,200

Question 3

To find the average number of service requests received per day, which formula should be used?

Accepted Answer

Sum of requests divided by Number of days

Answer

Number of requests divided by Sum of days

Answer

Number of days divided by Sum of requests

Answer

Sum of days divided by Number of requests

Question 4

To determine the number of households in a specific postcode area for a direct mail campaign, which method should be used?

Accepted Answer

Using online data sources

Answer

Contacting the local council

Answer

Estimating based on population density

Answer

Conducting a physical survey

Question 5

To effectively monitor the progress of a public health campaign over time, which data visualization method is most appropriate?

Accepted Answer

Line graph

Answer

Table

Answer

Pie chart

Answer

Scatter plot

Question 6

Which sampling method ensures that each student in a school survey has an equal chance of being selected?

Accepted Answer

Random sampling

Answer

Convenience sampling

Answer

Quota sampling

Answer

Stratified sampling

Question 7

To calculate the total cost of annual operating expenses for a youth center, which formula is appropriate?

Accepted Answer

Total cost = Expenses per month multiplied by Number of months

Answer

Total cost = Expenses per year divided by Number of months

Answer

Total cost = Expenses per month added to Number of months

Answer

Total cost = Expenses per year subtracted by Number of months

Question 8

A shopkeeper bought a box of apples for £10 and sold them for £12. If each apple cost him 50 pence, how many apples were in the box?

Accepted Answer

30 apples

Answer

10 apples

Answer

20 apples

Answer

40 apples

Question 9

A restaurant bill comes to £50. If you add a 10% service charge, what is the total amount to be paid?

Accepted Answer

£52.50

Answer

£45

Answer

£55

Answer

£60

Question 10

A construction project requires 500 bricks per square meter. If the area of the project is 120 square meters, how many bricks are needed?

Accepted Answer

60,000 bricks

Answer

50,000 bricks

Answer

70,000 bricks

Answer

80,000 bricks

Question 11

A company purchases equipment for £10,000. It is estimated that the equipment will depreciate in value by 15% per year. What will be the value of the equipment after 3 years?

Accepted Answer

£6,768.75

Answer

£7,500

Answer

£8,500

Question 12

A company pays its employees £10.50 per hour. How much will an employee earn after working 35 hours?

Accepted Answer

£367.50

Answer

£262.50

Answer

£472.50

Answer

£577.50

Question 13

A nurse is administering a medication that requires a dosage of 125 milligrams per kilogram of body weight. If the patient weighs 80 kilograms, how many milligrams of medication should the nurse administer?

Accepted Answer

10,000

Answer

8,000

Answer

14,000

Answer

12,000

Question 14

Which of the following formulas accurately calculates the area of a circle?

Accepted Answer

πr²

Answer

2πr

Answer

4πr

Question 15

A customer service representative needs to determine the total cost of purchasing 500 pens at £0.25 each. Which of the following calculations provides the correct total cost?

Accepted Answer

500 x £0.25 = £125

Answer

500 / £0.25 = £2000

Answer

500 + £0.25 = £500.25

Answer

500 - £0.25 = £499.75

Question 16

A police officer needs to determine the time it will take to travel 120 miles at an average speed of 60 mph. Which of the following calculations provides the correct travel time?

Accepted Answer

120 miles ÷ 60 mph = 2 hours

Answer

120 miles x 60 mph = 7200 miles

Answer

60 mph ÷ 120 miles = 0.5 hours

Answer

120 miles + 60 mph = 180 mph

Question 17

Which of the following statistical measures represents the typical or central value of a set of data?

Accepted Answer

Mean

Answer

Mode

Answer

Range

Answer

Median

Question 18

A local council is conducting a survey to determine the most pressing issue facing the community. Which of the following sampling methods would provide the most reliable representation of the entire community?

Accepted Answer

Random sampling

Answer

Quota sampling

Answer

Convenience sampling

Answer

Snowball sampling

Question 19

Which type of graph is most suitable for displaying the distribution of data?

Accepted Answer

Histogram

Answer

Line graph

Answer

Scatter plot

Answer

Pie chart

Question 20

A health and safety inspector needs to determine the amount of time it will take to complete a site inspection for a new business. Which of the following factors would NOT be relevant to consider in this estimation?

Accepted Answer

The number of competitors

Answer

The complexity of the business operations

Answer

The availability of documentation

Answer

The physical size of the site

Question 21

Which tool is typically used for measuring the volume of a cube?

Accepted Answer

Measuring tape

Answer

Protractor

Answer

Stopwatch

Answer

Micrometer

Question 22

A recruitment officer needs to convert a candidate's monthly salary of £2,500 to an annual salary. Assuming there are 12 months in a year, which of the following calculations provides the correct annual salary?

Accepted Answer

£2,500 x 12 months = £30,000

Answer

£2,500 - 12 months = £2,488

Answer

£2,500 + 12 months = £2,512

Answer

£2,500 / 12 months = £208.33

Question 23

Which of the following mathematical concepts is most essential for reasoned decision-making in the workplace?

Accepted Answer

Probability

Answer

Linear algebra

Answer

Trigonometry

Answer

Differential equations