Real-World Applications in Maths: Interactive Quizzes for Year 10

Question 1

A rectangular field measuring 50 meters by 30 meters needs fencing, which costs £10 per meter. What is the total fencing cost?

Accepted Answer

£1,400

Answer

£800

Answer

£1,000

Answer

£1,200

Question 2

Which step is NOT involved in applying mathematics to solve real-world problems?

Accepted Answer

Solving the problem without considering the context

Answer

Identifying and analyzing the problem situation

Answer

Developing a suitable mathematical model

Answer

Using technology to solve the problem

Question 3

To solve a real-world problem using mathematics, what's the crucial first step?

Accepted Answer

Understanding and analyzing the problem

Answer

Expressing the problem in mathematical terms

Answer

Solving the mathematical problem

Answer

Checking the accuracy of the solution

Question 4

A company's profit increased by 15% from £100,000 to £115,000. What was the percentage increase in profit?

Accepted Answer

15%

Answer

10%

Answer

12%

Answer

20%

Question 5

Which of the following is NOT a real-world application of mathematics?

Accepted Answer

Writing a poem

Answer

Calculating the trajectory of a projectile

Answer

Analyzing data

Answer

Predicting weather patterns

Question 6

Which of the following factors is NOT considered when modeling a real-world scenario using mathematics?

Accepted Answer

Personal preferences

Answer

Simplifications and assumptions

Answer

Data collection and analysis

Answer

Estimation and approximation

Question 7

A cylindrical can with a volume of 250 cm³ is to be produced. The material for the top and bottom costs 0.05 pence per cm², and the material for the curved surface costs 0.02 pence per cm². What is the minimum cost to produce this can?

Accepted Answer

10.47 pence

Answer

11.52 pence

Answer

12.58 pence

Answer

9.42 pence

Question 8

A car travels 120 miles in 2 hours. What is the average speed of the car?

Accepted Answer

60 miles per hour

Answer

90 miles per hour

Answer

30 miles per hour

Answer

120 miles per hour

Question 9

A train departs at 10:30 AM and travels at a speed of 80 kilometers per hour. If the train travels for 2 hours, what time will it arrive at its destination?

Accepted Answer

12:30 PM

Answer

11:30 AM

Answer

1:00 PM

Question 10

A survey of 100 students found that 60% of them have a smartphone. How many students in the survey do not have a smartphone?

Accepted Answer

40 students

Answer

60 students

Answer

80 students

Answer

100 students

Question 11

A company is planning to invest £10,000 in a savings account that pays 2% interest per year compounded annually. How much interest will the company earn after 10 years?

Accepted Answer

£2,100

Answer

£1,000

Answer

£500

Answer

£3,000

Question 12

A train leaves London at 6:00 AM and travels at a speed of 120 kilometers per hour. Another train leaves Birmingham at 7:30 AM and travels at a speed of 100 kilometers per hour. If the distance between London and Birmingham is 190 kilometers, at what time will the two trains meet?

Accepted Answer

9:10 AM

Answer

7:30 AM

Answer

8:00 AM

Answer

10:00 AM

Question 13

A baker needs to make 12 cakes for a wedding. Each cake requires 2.5 kg of flour. How much flour in total will the baker need?

Accepted Answer

30 kg

Answer

25 kg

Answer

24 kg

Question 14

A train travels at a constant speed of 120 miles per hour. How long will it take the train to travel 360 miles?

Accepted Answer

3 hours

Answer

2 hours

Answer

5 hours

Answer

4 hours

Question 15

A shop is offering a 20% discount on all items. If a shirt originally costs £25, how much will it cost after the discount has been applied?

Accepted Answer

£20

Answer

£22.50

Answer

£27.50

Answer

£30

Question 16

A rectangular garden measures 10 meters in length and 5 meters in width. What is the area of the garden?

Accepted Answer

50 square meters

Answer

15 square meters

Answer

25 square meters

Answer

100 square meters

Question 17

A company is building a rectangular office complex that is 40 meters long and 30 meters wide. What is the perimeter of the building?

Accepted Answer

140 meters

Answer

120 meters

Answer

70 meters

Question 18

A car travels 200 miles in 4 hours. What is the car's average speed during the trip?

Accepted Answer

50 miles per hour

Answer

40 miles per hour

Answer

80 miles per hour

Answer

60 miles per hour

Question 19

A baking recipe calls for 1 1/2 cups of sugar. If you want to double the recipe, how many cups of sugar will you need?

Accepted Answer

3 cups

Answer

4 cups

Answer

2 1/2 cups

Answer

2 cups

Question 20

A store is having a sale on shoes. A pair of shoes that originally costs £50 is now 30% off. How much is the discount?

Accepted Answer

£15

Answer

£20

Answer

£10

Question 21

A rectangular garden measures 72 square meters in area and has a length of 9 meters. What is the width of the garden?

Accepted Answer

8 meters

Answer

10 meters

Answer

12 meters

Answer

6 meters

Question 22

A company is building a circular swimming pool that has a diameter of 10 meters. What is the circumference of the pool?

Accepted Answer

31.4 meters

Answer

100 meters

Answer

62.8 meters

Answer

15.7 meters

Question 23

A rectangular garden has a length of 12 meters and a width of 8 meters. What is the area of the garden in square meters?

Accepted Answer

96

Answer

100

Answer

20

Answer

40

Question 24

A car travels 150 miles in 3 hours. What is the average speed of the car in miles per hour?

Accepted Answer

50

Answer

60

Answer

30

Answer

45

Question 25

A recipe for 12 cookies requires 2 cups of flour. How much flour is needed to make 36 cookies?

Accepted Answer

6 cups

Answer

3 cups

Answer

8 cups

Answer

4 cups

Question 26

A bank offers an interest rate of 3% per year on savings accounts. If you deposit £500, how much interest will you earn after one year?

Accepted Answer

£15

Answer

£20

Answer

£50

Answer

£10

Question 27

A map has a scale of 1:10000. If two points on the map are 5 cm apart, what is the actual distance between them in meters?

Accepted Answer

500

Answer

1000

Answer

100

Answer

50

Question 28

A pizza is cut into 12 equal slices. If you eat 3 slices, what fraction of the pizza have you eaten?

Accepted Answer

1/4

Answer

1/2

Answer

1/3

Answer

1/6

Question 29

A room is 4 meters long, 3 meters wide, and 2.5 meters high. What is the volume of the room in cubic meters?

Accepted Answer

30

Answer

12

Answer

24

Answer

15

Question 30

A survey of 100 people found that 60 people prefer chocolate ice cream. What percentage of the people surveyed prefer chocolate ice cream?

Accepted Answer

60%

Answer

50%

Answer

70%

Answer

40%