Year 5 Maths worksheet on negative numbers, including number sequences, temperature ordering, and counting with negative integers.

Let’s solve each part of this Year 5 Maths worksheet on Negative Numbers step by step.

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## Part a: Fill in the missing numbers

Sequence:
42, 31, __, __, -2, __, __, __, -46, -57

Look at the pattern:

- From 42 to 31 → difference = -11
- Let’s check if it’s consistent:

→ 31 - 11 = 20
→ 20 - 11 = 9
→ 9 - 11 = -2 ✔ (matches given)
→ -2 - 11 = -13
→ -13 - 11 = -24
→ -24 - 11 = -35
→ -35 - 11 = -46 ✔
→ -46 - 11 = -57 ✔

✔ So the full sequence is:
42, 31, 20, 9, -2, -13, -24, -35, -46, -57

Answer for a:
20, 9, -13, -24, -35

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## Part b: Fill in the missing numbers

Sequence:
-32, -27, __, __, -12, __, __, __, 8, 13

Check differences:

- -27 - (-32) = +5
- So likely increasing by +5 each time.

→ -27 + 5 = -22
→ -22 + 5 = -17
→ -17 + 5 = -12 ✔
→ -12 + 5 = -7
→ -7 + 5 = -2
→ -2 + 5 = 3
→ 3 + 5 = 8 ✔
→ 8 + 5 = 13 ✔

✔ Full sequence:
-32, -27, -22, -17, -12, -7, -2, 3, 8, 13

Answer for b:
-22, -17, -7, -2, 3

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## Part c: Fill in the missing numbers

Sequence:
-28, -24, __, __, -12, __, __, __, 4, 8

Check differences:

- -24 - (-28) = +4
- Likely increasing by +4

→ -24 + 4 = -20
→ -20 + 4 = -16
→ -16 + 4 = -12 ✔
→ -12 + 4 = -8
→ -8 + 4 = -4
→ -4 + 4 = 0
→ 0 + 4 = 4 ✔
→ 4 + 4 = 8 ✔

✔ Full sequence:
-28, -24, -20, -16, -12, -8, -4, 0, 4, 8

Answer for c:
-20, -16, -8, -4, 0

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## Part d: Put temperatures in order, coldest first

Temperatures:
-6°C, 18°C, 5°C, -18°C, -16°C, 9°C, -12°C, 0°C

Order from coldest (lowest) to warmest (highest):

Negative numbers are colder than positive or zero.

So:

- -18°C (coldest)
- -16°C
- -12°C
- -6°C
- 0°C
- 5°C
- 9°C
- 18°C (warmest)

✔ Ordered list:
-18°C, -16°C, -12°C, -6°C, 0°C, 5°C, 9°C, 18°C

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## Part e: Put temperatures in order, coldest first

Temperatures:
4°C, -9°C, 17°C, -4°C, -7°C, 9°C, 3°C, -8°C

Order from coldest to warmest:

- -9°C
- -8°C
- -7°C
- -4°C
- 3°C
- 4°C
- 9°C
- 17°C

✔ Ordered list:
-9°C, -8°C, -7°C, -4°C, 3°C, 4°C, 9°C, 17°C

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## Part f–o: Count on or back

f. Count on 8 from –11

“Count on” means add.

→ -11 + 8 = -3

✔ Answer: -3

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g. Count back 7 from 2

“Count back” means subtract.

→ 2 - 7 = -5

✔ Answer: -5

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h. Count back 5 from 1

→ 1 - 5 = -4

✔ Answer: -4

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i. Count on 9 from –2

→ -2 + 9 = 7

✔ Answer: 7

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j. Count on 6 from –3

→ -3 + 6 = 3

✔ Answer: 3

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k. Count back 11 from –3

→ -3 - 11 = -14

✔ Answer: -14

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l. Count back 7 from –3

→ -3 - 7 = -10

✔ Answer: -10

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m. Count on 12 from –8

→ -8 + 12 = 4

✔ Answer: 4

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n. Count on 15 from –6

→ -6 + 15 = 9

✔ Answer: 9

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o. Count back 12 from 8

→ 8 - 12 = -4

✔ Answer: -4

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## ✔ FINAL ANSWERS SUMMARY:

Fill in the missing numbers:

a. 20, 9, -13, -24, -35
b. -22, -17, -7, -2, 3
c. -20, -16, -8, -4, 0

Order temperatures (coldest first):

d. -18°C, -16°C, -12°C, -6°C, 0°C, 5°C, 9°C, 18°C
e. -9°C, -8°C, -7°C, -4°C, 3°C, 4°C, 9°C, 17°C

Work out the following:

f. -3
g. -5
h. -4
i. 7
j. 3
k. -14
l. -10
m. 4
n. 9
o. -4

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✔ All problems solved! This worksheet reinforces understanding of negative number sequences, ordering integers, and counting forwards/backwards across zero — key Year 5 skills.