Negative Numbers in Context: A Comprehensive Guide for Year 6 Maths

Question 1

Which of the following temperatures is the coldest: 5°C, 0°C, -5°C, or -10°C?

Accepted Answer

-10°C

Answer

5°C

Answer

0°C

Answer

-5°C

Question 2

A shop reduces its prices by 20%. What is the new price of an item that originally cost £15?

Accepted Answer

£12

Answer

£15

Answer

£18

Answer

£20

Question 3

The population of a town is decreasing by 5% per year. If the current population is 10,000, what will the population be in 5 years?

Accepted Answer

7,500

Answer

5,000

Answer

10,000

Answer

12,500

Question 4

Which shows the numbers -4, -2, 0, 2, 4 in order from smallest to biggest?

Accepted Answer

-4, -2, 0, 2, 4

Answer

-2, -4, 0, 2, 4

Answer

0, -2, -4, 2, 4

Answer

0, -4, -2, 2, 4

Question 5

What is |-5|?

Accepted Answer

5

Answer

-5

Answer

0

Answer

10

Question 6

Which can be shown using a negative number?

Accepted Answer

Loss of money

Answer

Height of a building

Answer

Age of a person

Answer

Population of a town

Question 7

Which temperature is colder: -5°C or 3°C?

Accepted Answer

-5°C

Answer

3°C

Question 8

A bank account has a balance of -£50. How much money needs to be deposited to bring the balance to zero?

Accepted Answer

£50

Answer

£25

Answer

£100

Question 9

Which of the following is a negative number?

Accepted Answer

-3

Answer

2

Answer

0

Question 10

Which of these temperatures is the coldest: 0°C, -5°C, 10°C, or 5°C?

Accepted Answer

-5°C

Answer

0°C

Answer

10°C

Answer

5°C

Question 11

A scuba diver descends 10 metres below sea level. How deep is the diver below sea level?

Accepted Answer

-10 metres

Answer

0 metres

Answer

10 metres

Answer

20 metres

Question 12

Which of these represents a loss of money: -£50, £0, £50, or £100?

Accepted Answer

-£50

Answer

£0

Answer

£50

Answer

£100

Question 13

A weather forecast predicts a temperature of -3°C. Which of these statements is true?

Accepted Answer

It will be freezing.

Answer

It will be warm.

Answer

It will be snowing.

Answer

It will be raining.

Question 14

What does the number -5 represent?

Accepted Answer

A number that is less than 0

Answer

A number that is greater than 0

Answer

A number that is the same as 0

Answer

A number that is equal to 5

Question 15

Which temperature is the coldest?

Accepted Answer

-5°C

Answer

0°C

Answer

5°C

Answer

10°C

Question 16

Which of the following is a negative integer?

Accepted Answer

-2

Answer

0

Answer

1

Answer

3

Question 17

The temperature was originally -5 degrees Celsius. What will the temperature be if it rises by 10 degrees?

Accepted Answer

15

Answer

-15

Answer

5

Answer

25

Question 18

A submarine is currently at a depth of -120 meters. How far below sea level will it be if it descends another 30 meters?

Accepted Answer

-150

Answer

-90

Answer

90

Answer

150

Question 19

Which number line correctly shows the order of the numbers from smallest to largest: -5, 0, 3?

Accepted Answer

[-5, 0, 3]

Answer

[0, -5, 3]

Answer

[3, 0, -5]

Answer

[3, -5, 0]

Question 20

The temperature outside is -7 degrees Celsius. What would the temperature be if it drops by 9 degrees?

Accepted Answer

-2

Answer

2

Answer

16

Answer

-16

Question 21

Which expression represents the difference between 8 and -3?

Accepted Answer

8 - 3

Answer

8 + 3

Answer

-8 + 3

Answer

-8 - 3

Question 22

A mountain climber is at an altitude of 2000 meters above sea level. If they descend 600 meters, what is their new altitude?

Accepted Answer

1400

Answer

-1400

Answer

2600

Answer

-2600

Question 23

Which of the following is a correct way to represent a negative number?

Accepted Answer

-7

Answer

7-

Answer

7 with a minus sign

Answer

-7+

Question 24

A freezer is set to a temperature of -15 degrees Celsius. What does this temperature represent?

Accepted Answer

-15 degrees below freezing

Answer

15 degrees above freezing

Answer

15 degrees below freezing

Answer

-15 degrees above freezing

Question 25

A submarine dives 50 meters below sea level. What is its depth?

Accepted Answer

-50 meters below sea level

Answer

50 meters above sea level

Answer

50 meters below sea level

Answer

-50 meters above sea level

Question 26

What does a negative balance on a bank account mean?

Accepted Answer

Money is owed to the bank

Answer

Money is in the account

Answer

Money is owed to the account holder

Answer

Money is in the bank

Question 27

What is the result of subtracting 4 from -8?

Accepted Answer

-12

Answer

4

Answer

8

Answer

12

Question 28

Which number is NOT negative?

Accepted Answer

1

Answer

-7

Answer

0

Answer

-3

Question 29

A temperature drops by -5 degrees Celsius. If the current temperature is 10 degrees Celsius, what will the temperature be after the drop?

Accepted Answer

-15 degrees Celsius

Answer

-5 degrees Celsius

Answer

5 degrees Celsius

Answer

15 degrees Celsius

Question 30

A submarine is 200 meters below sea level. What is its depth?

Accepted Answer

-200 meters

Answer

200 meters

Answer

0 meters

Question 31

The elevator is on the 5th floor. It goes down 4 floors and then up 2 floors. What floor is it on now?

Accepted Answer

3

Answer

7

Answer

-3

Answer

1

Question 32

A bank account has a balance of £500. The account holder makes a withdrawal of £200 and then a deposit of £150. What is the new balance?

Accepted Answer

£450

Answer

£650

Answer

£250

Answer

£550

Question 33

Which of the following is the correct order from least to greatest?

Accepted Answer

-5, -3, -1, 0, 1

Answer

1, 0, -1, -3, -5

Answer

0, 1, -1, -3, -5

Answer

-5, -1, -3, 0, 1

Question 34

The temperature at 6am was -2°C. By midday, the temperature had risen by 10°C. What was the temperature at midday?

Accepted Answer

8°C

Answer

2°C

Answer

-8°C

Answer

-2°C

Question 35

Which of the following numbers represents a temperature below freezing?

Accepted Answer

-5

Answer

0

Answer

10

Answer

5

Question 36

A submarine is 120 meters underwater. What number represents this depth?

Accepted Answer

-120

Answer

210

Answer

-210

Answer

120

Question 37

Which of these numbers is the smallest?

Accepted Answer

-10

Answer

0

Answer

5

Answer

-5

Question 38

A bank account has a balance of -£20. If you deposit £50, what is the new balance?

Accepted Answer

£30

Answer

-£30

Answer

-£50

Answer

£50

Question 39

Which of the following is NOT a way to represent a negative number?

Accepted Answer

Using a positive sign

Answer

Enclosing the number in brackets

Answer

Using the word 'negative'

Answer

Using a minus sign

Question 40

Which of these is a valid inequality involving a negative number?

Accepted Answer

-5 < 0

Answer

5 > 0

Answer

-5 > 0

Question 41

A lift starts at the ground floor (level 0). It goes down 3 floors, then up 5 floors. What floor is the lift on?

Accepted Answer

Level 2

Answer

Level 8

Answer

Level -8

Answer

Level -3

Question 42

A bank account has a balance of -£10.  £5 is withdrawn. What is the new balance?

Accepted Answer

-£15

Answer

£15

Answer

-£5

Answer

£5

Question 43

The temperature in Moscow is -10°C. In London, the temperature is 5°C warmer than Moscow. What is the temperature in London?

Accepted Answer

5°C

Answer

-5°C

Answer

15°C

Question 44

A submarine is 50m below sea level. It ascends 25m. What is the new depth of the submarine?

Accepted Answer

-25m

Answer

25m

Answer

75m

Answer

-75m

Question 45

A bank account has a balance of £-200. A deposit of £150 is made. What is the new balance of the account?

Accepted Answer

-£50

Answer

£250

Answer

-£250

Answer

£50

Question 46

The temperature on Monday was -5°C. On Tuesday, the temperature dropped by 7°C. What is the temperature on Tuesday?

Accepted Answer

-12°C

Answer

2°C

Answer

12°C

Answer

-2°C

Question 47

A company makes a profit of £2,000 in January. In February, the company makes a loss of £500. What is the overall profit or loss of the company for the two months?

Accepted Answer

£1,500 profit

Answer

£1,500 loss

Answer

£2,500 profit

Answer

£2,500 loss

Question 48

The height of a mountain is 3,000m above sea level. The depth of a valley is 1,500m below sea level. What is the difference in height between the mountain and the valley?

Accepted Answer

4,500m

Answer

-4,500m

Answer

1,500m

Answer

-1,500m

Question 49

A car travels 100km north and then 50km south. What is the overall distance travelled by the car?

Accepted Answer

50km

Answer

-50km

Answer

100km

Answer

-100km

Question 50

The temperature in a freezer is -18°C. A pizza is taken out of the freezer and left to defrost at room temperature. The temperature of the pizza increases by 12°C. What is the temperature of the pizza now?

Accepted Answer

-6°C

Answer

6°C

Answer

30°C

Answer

-30°C

Question 51

A company's profit in the first quarter is £500. In the second quarter, the company's profit decreases by 25%. What is the company's profit in the second quarter?

Accepted Answer

£375

Answer

£750

Answer

£625

Answer

£250

Question 52

A lift is on the 10th floor. It descends 5 floors and then ascends 3 floors. What floor is the lift on now?

Accepted Answer

8th floor

Answer

15th floor

Answer

5th floor

Answer

13th floor