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Numbers and place value · Ages 10–11

Negative numbers around us worksheet

Part of: Negative numbers

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Negative numbers around us worksheet

Numbers and place value · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Choose, or true or false (2 marks each)

  1. 1.Taking sea level as 0 m, a place at a height of 45 m is below sea level.

    True or false?

    Answer:

  2. 2.What temperature does the thermometer show?

    • A. −6°C
    • B. −5°C
    • C. 5°C
    • D. −4°C

    Choose the right answer

    Answer:

  3. 3.What number is the arrow pointing to on the number line?

    • A. 0
    • B. 1
    • C. −2
    • D. −1

    Choose the right answer

    Answer:

  4. 4.Taking sea level as 0 m, a place at a height of −20 m is below sea level.

    True or false?

    Answer:

  5. 5.Taking sea level as 0 m, a place at a height of −45 m is below sea level.

    True or false?

    Answer:

  6. 6.In a lift, the ground floor G is like 0. Going up are floors 1, 2, …; going down are B1, B2, …. Which number stands for B5?

    • A. −6
    • B. −5
    • C. −4
    • D. 5

    Choose the right answer

    Answer:

  7. 7.Which thermometer shows −10°C?

    • A
    • B
    • C
    • D

    Choose the right picture

    Answer:

  8. 8.Which thermometer shows −8°C?

    • A
    • B
    • C
    • D

    Choose the right picture

    Answer:

  9. 9.In a lift, the ground floor G is like 0. Going up are floors 1, 2, …; going down are B1, B2, …. Which number stands for B3?

    • A. −3
    • B. 3
    • C. −4
    • D. −2

    Choose the right answer

    Answer:

  10. 10.Which thermometer shows −4°C?

    • A
    • B
    • C
    • D

    Choose the right picture

    Answer:

  11. 11.In a lift, the ground floor G is like 0. Going up are floors 1, 2, …; going down are B1, B2, …. Which number stands for B2?

    • A. −1
    • B. 2
    • C. −3
    • D. −2

    Choose the right answer

    Answer:

  12. 12.The number line has a number every 5 marks. What number is the arrow pointing to?

    • A. −2
    • B. 2
    • C. −3
    • D. −8

    Choose the right answer

    Answer:

Part B: Word problems (4 marks each)

  1. 13.A building's lift buttons, top to bottom, are 13, …, 2, 1, G, B1, …, B2. How many buttons are there?

    Working:

    Answer:

  2. 14.Taking sea level as 0 m, a diver is 26 m below sea level and a seagull 21 m above it. Which number gives the diver's position?

    • A. 26 m
    • B. −26 m
    • C. 21 m
    • D. −21 m

    Choose the right answer

    Working:

    Answer:

  3. 15.A freezer is at 21 degrees below zero, written in numbers as −21°C.

    True or false?

    Working:

    Answer:

  4. 16.Tsz-ching's Octopus card can go below zero. After a tap, its balance shows −8 dollars. What does that mean?

    • A. The card still has 8 dollars to spend
    • B. The card's money is used up exactly
    • C. The card owes 8 dollars, paid back at the next top-up
    • D. After adding 8 dollars, the card holds 8 dollars

    Choose the right answer

    Working:

    Answer:

  5. 17.A building's lift buttons, top to bottom, are 13, …, 2, 1, G, B1, …, B3. How many buttons are there?

    Working:

    Answer:

  6. 18.A freezer is at 20 degrees below zero, written in numbers as −20°C.

    True or false?

    Working:

    Answer:

Show the answers and working

Negative numbers around us worksheet: Answers and working

Part A: Choose, or true or false

  1. 1. False

    Sea level is 0 m. Check whether 45 is more or less than 0.

    Heights less than 0 (negative) are below sea level, and those more than 0 are above it: see whether 45 has a minus sign.

  2. 2. B. −5°C

    Find the 0°C mark first, then count how many marks below it the top of the liquid is.

    The top of the liquid is 5 marks below 0°C, 1 degree a mark: 5 degrees below zero, which is −5°C.

  3. 3. D. −1

    Find 0 first. Which side of 0 is the arrow on, and how many steps away is it?

    The arrow is 1 steps left of 0, so the number is negative: −1.

  4. 4. True

    Sea level is 0 m. Check whether −20 is more or less than 0.

    Heights less than 0 (negative) are below sea level, and those more than 0 are above it: see whether −20 has a minus sign.

  5. 5. True

    Sea level is 0 m. Check whether −45 is more or less than 0.

    Heights less than 0 (negative) are below sea level, and those more than 0 are above it: see whether −45 has a minus sign.

  6. 6. B. −5

    G is 0. B5 is below ground, so it is negative. How many floors below G is it?

    B5 is the 5th floor below ground, 5 below 0: −5.

  7. 7. A

    −10 has a minus sign, so it is below 0°C. Find 0°C on each thermometer, then count the marks down to the top of the liquid.

    −10°C is 10 degrees below zero: the top of the liquid is 10 marks below 0°C.

  8. 8. D

    −8 has a minus sign, so it is below 0°C. Find 0°C on each thermometer, then count the marks down to the top of the liquid.

    −8°C is 8 degrees below zero: the top of the liquid is 8 marks below 0°C.

  9. 9. A. −3

    G is 0. B3 is below ground, so it is negative. How many floors below G is it?

    B3 is the 3rd floor below ground, 3 below 0: −3.

  10. 10. D

    −4 has a minus sign, so it is below 0°C. Find 0°C on each thermometer, then count the marks down to the top of the liquid.

    −4°C is 4 degrees below zero: the top of the liquid is 4 marks below 0°C.

  11. 11. D. −2

    G is 0. B2 is below ground, so it is negative. How many floors below G is it?

    B2 is the 2nd floor below ground, 2 below 0: −2.

  12. 12. A. −2

    The nearest numbered mark to the left of the arrow is −5. How many steps right from −5 is the arrow?

    The arrow is to the right of −5, by 3: counting on 3 from −5 gives −2.

Part B: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. 16 buttons

    Count in three parts: floors 1 to 13, G, and B1 to B2. Don't leave out G.

    Floors 1 to 13 give 13, G (like 0) gives 1, and B1 to B2 give 2: 13 + 1 + 2 = 16.

  2. 14. B. −26 m

    Sea level is 0 m. The diver is below it: is that a positive or a negative number?

    Below sea level is negative: 26 m below is written −26 m.

  3. 15. True

    A temperature below zero needs a minus sign. Check whether −21 has one, and whether the number is 21.

    A temperature below zero takes a minus sign: 21 degrees below zero is −21°C.

  4. 16. C. The card owes 8 dollars, paid back at the next top-up

    How much less than 0 is −8? Think about what a balance below 0 dollars means.

    −8 dollars is 8 less than 0: the card owes 8 dollars.

  5. 17. 17 buttons

    Count in three parts: floors 1 to 13, G, and B1 to B3. Don't leave out G.

    Floors 1 to 13 give 13, G (like 0) gives 1, and B1 to B3 give 3: 13 + 1 + 3 = 17.

  6. 18. True

    A temperature below zero needs a minus sign. Check whether −20 has one, and whether the number is 20.

    A temperature below zero takes a minus sign: 20 degrees below zero is −20°C.

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