Numbers and place value · Ages 10–11

Counting through zero worksheet

Part of: Negative numbers

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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.

1.Counting on 3 at a time: −5, −2, 1,
Answer:
2.The temperature is −8°C and rises 25 degrees. What is it now?
Answer:
3.The temperature is −10°C and rises 22 degrees. What is it now?
Answer:
4.Counting on from −1 to 8, how many numbers do you say (counting −1 and 8)?
Answer:
5.Counting on from −1 to 9, how many numbers do you say (counting −1 and 9)?
Answer:

6.Counting back 3 at a time: 0, −3, −6. What comes next?
- A. −9
- B. 9
- C. −12
- D. −6
Choose the right answer
Answer:
7.Counting back 3 at a time: 3, 0, −3. What comes next?
- A. −9
- B. −6
- C. −3
- D. 6
Choose the right answer
Answer:
8.The thermometer shows the temperature now. If it rises 11 degrees, what will it be?
- A. −7°C
- B. 8°C
- C. −15°C
- D. 7°C
Choose the right answer
Answer:
9.Counting back 15 times from 3, 1 less each time, you reach −12.
True or false?
Answer:
10.The thermometer shows the temperature now. If it rises 15 degrees, what will it be?
- A. 8°C
- B. 7°C
- C. −7°C
- D. −23°C
Choose the right answer
Answer:
11.Counting back 9 times from 8, 1 less each time, you reach 1.
True or false?
Answer:
12.The thermometer shows the temperature now. If it rises 7 degrees, what will it be?
- A. 3°C
- B. −12°C
- C. −2°C
- D. 2°C
Choose the right answer
Answer:

13.A piece of frozen meat comes out of the freezer at −7°C. Left out, it warms up 5 degrees in the first hour and 7 more in the second. What is its temperature now?
Working:
Answer:
14.In London it was 5°C in the evening; by midnight it had fallen 9 degrees, to 4°C.
True or false?
Working:
Answer:
15.In Harbin it was −11°C in the morning, and by noon it had risen 2 degrees. What was the temperature at noon?
- A. −13°C
- B. −10°C
- C. −9°C
- D. 9°C
Choose the right answer
Working:
Answer:
16.The lift's floors, top to bottom, are …, 2, 1, G, B1, B2, …. The lift is on floor 3 and goes down 7 floors. Which floor is it on now?
- A. Floor 10
- B. B7
- C. B4
- D. B5
Choose the right answer
Working:
Answer:
17.The lift's floors, top to bottom, are …, 2, 1, G, B1, B2, …. The lift is on floor 3 and goes down 6 floors. Which floor is it on now?
- A. B6
- B. B4
- C. Floor 9
- D. B3
Choose the right answer
Working:
Answer:
18.In London it was 5°C in the evening; by midnight it had fallen 6 degrees, to −1°C.
True or false?
Working:
Answer:

Show the answers and working

Counting through zero worksheet: Answers and working

1. 4
Each time add 3. Move 3 steps right from 1, carrying on past 0 if you need to.
3 more each time: 3 more than 1 is 4. Keep going past 0.
2. 17°C
−8°C needs to rise 8 degrees to reach 0°C. How many of the 25 degrees are left after that?
Rise 8 degrees to 0°C, then the other 25 − 8 = 17: 17°C.
3. 12°C
−10°C needs to rise 10 degrees to reach 0°C. How many of the 22 degrees are left after that?
Rise 10 degrees to 0°C, then the other 22 − 10 = 12: 12°C.
4. 10
Count in three parts: the negatives from −1 to −1, then 0, then the positives from 1 to 8. Don't leave out 0.
1 negatives, then 0, then 8 positives: 1 + 1 + 8 = 10. Don't leave out 0.
5. 11
Count in three parts: the negatives from −1 to −1, then 0, then the positives from 1 to 9. Don't leave out 0.
1 negatives, then 0, then 9 positives: 1 + 1 + 9 = 11. Don't leave out 0.

6. A. −9
Each time minus 3. Move 3 steps left from −6; past 0 the numbers are negative.
3 less each time: 3 less than −6 is −9. Past 0, the numbers are negative.
7. B. −6
Each time minus 3. Move 3 steps left from −3; past 0 the numbers are negative.
3 less each time: 3 less than −3 is −6. Past 0, the numbers are negative.
8. D. 7°C
Read the temperature first. How many degrees does it take to reach 0°C? Then count the rest on up.
From −4°C, rise 4 degrees to 0°C, then 7 more: 7°C.
9. True
Counting back from 3 to 0 takes 3 counts. How many of the 15 are left? Then compare where you land with −12.
Count back 15: 3 of them reach 0, and 12 more reach −12.
10. B. 7°C
Read the temperature first. How many degrees does it take to reach 0°C? Then count the rest on up.
From −8°C, rise 8 degrees to 0°C, then 7 more: 7°C.
11. False
Counting back from 8 to 0 takes 8 counts. How many of the 9 are left? Then compare where you land with 1.
Count back 9: 8 of them reach 0, and 1 more reach −1.
12. D. 2°C
Read the temperature first. How many degrees does it take to reach 0°C? Then count the rest on up.
From −5°C, rise 5 degrees to 0°C, then 2 more: 2°C.

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

13. 5°C
How much does it warm up over the two hours? Work out 5 + 7 first.
−7°C needs 7 degrees to reach 0°C; then see how many degrees are left.
It rises 5 + 7 = 12 degrees in all: 7 to reach 0°C, then 5 more, to 5°C.
14. False
Falling from 5°C, 5 degrees take it to 0°C. How many of the 9 are left? Then compare with 4°C.
Falling from 5°C: 5 degrees reach 0°C, and 4 more reach −4°C.
15. C. −9°C
Rising means counting up the thermometer. Count 2 marks up from −11°C and see whether you reach 0°C.
Count 2 marks up from −11°C: −9°C, still below 0°C.
16. C. B4
Going down from floor 3, the first 3 floors take you to G. How many of the 7 are left?
Down from floor 3: 3 floors reach G, and 4 more reach B4.
17. D. B3
Going down from floor 3, the first 3 floors take you to G. How many of the 6 are left?
Down from floor 3: 3 floors reach G, and 3 more reach B3.
18. True
Falling from 5°C, 5 degrees take it to 0°C. How many of the 6 are left? Then compare with −1°C.
Falling from 5°C: 5 degrees reach 0°C, and 1 more reach −1°C.

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