Success Homeschool

Year 5 Mathematics · Number patterns and missing numbers

Name: ______________________

Date: ____________

1. What is the next number in this pattern? 5, 12, 19, 26, …
- ☐ (a) 31
- ☐ (b) 32
- ☐ (c) 33
- ☐ (d) 36
2. What is the rule for this pattern? 3, 6, 12, 24, …
- ☐ (a) Add 3
- ☐ (b) Multiply by 2
- ☐ (c) Add 6
- ☐ (d) Multiply by 3
3. Find the missing number: 8 × ? = 56.
- ☐ (a) 6
- ☐ (b) 7
- ☐ (c) 8
- ☐ (d) 9
4. What is the next number in this pattern? 1, 3, 9, 27, …
- ☐ (a) 36
- ☐ (b) 54
- ☐ (c) 81
- ☐ (d) 30
5. Find the missing number: 45 ÷ ? = 9.
6. Find the missing number: ? − 18 = 25.
7. What is the next number in this pattern? 100, 91, 82, 73, …
8. Each table at a party seats 6 people. 1 table seats 6, 2 tables seat 12 and 3 tables seat 18. How many people can sit at 9 tables?

Answer sheet

1. 33 — The rule is add 7. 26 + 7 = 33.
2. Multiply by 2 — 3 × 2 = 6, 6 × 2 = 12 and 12 × 2 = 24. “Add 3” only works for the first step.
3. 7 — 8 × 7 = 56, so the missing number is 7.
4. 81 — The rule is multiply by 3. 27 × 3 = 81.
5. 5 — 9 × 5 = 45, so 45 ÷ 5 = 9. The missing number is 5.
6. 43 — Undo the subtraction by adding: 25 + 18 = 43. Check: 43 − 18 = 25.
7. 64 — Each number is 9 less than the one before. 73 − 9 = 64.
8. 54 — The pattern goes up by 6 for each table, so 9 tables seat 9 × 6 = 54 people.