Year 6 Arithmetic (SATs): Paper 2, part A (items 1 to 12)
Part of the Year 6 Arithmetic (SATs) practice papers: arithmetic chapter. Chapter overview · whole chapter on one page
Paper 2, part A (items 1 to 12)
How to use this paper
Paper 2 has 25 items in two parts, and it draws on Chapters 6 and 8. Aim to finish in about 40 minutes. This is a practice guide, not the official timing.
Two items in part B need a written check. Write the working for them.
Key ideas
- Replace letters with numbers carefully when you substitute.
- A sequence goes up or down by the same step each time.
- Convert units first, then calculate.
Method. Replace the letters, then multiply and add.
- Substitute. 3 × 4 + 2 × 5.3 × 4 + 2 × 5
- Multiply. 12 + 10.12 + 10
- Add. 12 + 10 = 22.22
- Write the answer. 22
Check. 22 - 10 = 12 = 3 × 4. ✓
Method. Find the step, then add it.
- Find the step. 11 - 7 = 4.4
- Add the step. 19 + 4 = 23.23
- Write the answer. 23
Check. 23 - 19 = 4. ✓
Method. Multiply by 1000.
- Use the fact. 1 kg = 1000 g.1000 g
- Multiply. 2.5 × 1000 = 2,500.2,500 g
- Write the answer. 2,500 g
Check. 2,500 ÷ 1000 = 2.5 kg. ✓
Exercise 9C Paper 2, part A
Non-calculatorMethod. Replace a and b, then multiply and add.
- Substitute. 3 × 4 + 2 × 5.3 × 4 + 2 × 5
- Add. 12 + 10 = 22.22
- Write the answer. 22
Check. 22 - 10 = 12. ✓
Method. Write the cost in words, then use letters.
- Write in words. Cost = 4 × trips + 3.4n + 3
- Use letters. C = 4n + 3.C = 4n + 3
- Write the answer. C = 4n + 3
Check. If n = 2, C = 11. ✓
Method. Find the step.
- Find the step. Each term goes up by 4.+4
- Add the step. 19 + 4 = 23.23
- Write the answer. 23
Check. 23 - 4 = 19. ✓
Method. Find the step between two terms.
- Find the step. 26 - 30 = -4.-4
- Write it in words. Each term is 4 less than the one before.subtract 4
- Write the answer. subtract 4
Check. 18 - 22 = -4. ✓
Method. Take 5 from 13.
- Subtract. 13 - 5 = 8.8
- Write the answer. 8
Check. 5 + 8 = 13. ✓
Method. Divide by 8, then multiply by 5.
- Divide by 8. 40 ÷ 8 = 5.5
- Multiply by 5. 5 × 5 = 25.25 miles
- Write the answer. about 25 miles
Check. 25 miles is about 40 km. ✓
Method. Multiply by 1000.
- Multiply. 2.5 × 1000 = 2,500.2,500 g
- Write the answer. 2,500 g
Check. 2,500 ÷ 1000 = 2.5 kg. ✓
Method. Find the missing sides, then add all six sides.
- Find the missing sides. 6 - 2 = 4 and 8 - 4 = 4.4 and 4
- Add the six sides. 8 + 4 + 4 + 2 + 4 + 6 = 28.28 cm
- Write the answer. 28 cm
Check. 2 × (8 + 6) = 28. ✓
Method. Multiply the length by the width.
- Multiply. 9 × 4 = 36.36 m²
- Write the answer. 36 m²
Check. 36 ÷ 4 = 9. ✓
Method. List each value of a, then find b.
- List the pairs. (1, 11), (2, 10), (3, 9), (4, 8), (5, 7).5 pairs
- Write the answer. 5
Check. Each pair adds to 12. ✓
Method. Multiply by 60.
- Find the minutes. 2 × 60 = 120 and 0.5 × 60 = 30, so 150.150 minutes
- Write the answer. 150 minutes
Check. 150 ÷ 60 = 2.5 hours. ✓
Method. Try y = 0, 1, 2 and 3 and find x each time.
- y = 0. x = 9.(9, 0)
- y = 1. x = 6.(6, 1)
- y = 2. x = 3.(3, 2)
- y = 3. x = 0.(0, 3)
- Write the answer. (9, 0), (6, 1), (3, 2), (0, 3)
Check. Each pair gives 9 in x + 3y. ✓