Year 6 Arithmetic (SATs): Paper 2, part B (items 13 to 25) and the feedback sheet
Part of the Year 6 Arithmetic (SATs) practice papers: arithmetic chapter. Chapter overview · whole chapter on one page
Paper 2, part B (items 13 to 25) and the feedback sheet
Feedback sheet
| Item | Paper | Statement tested |
|---|---|---|
| 1 to 12 | Paper 1 | Place value, the four operations, fractions, percentages, ratio and the order of operations (Chapters 1 to 5 and 7) |
| 13 to 24 | Paper 1 | Long multiplication and division, decimals, rounding, sharing in a ratio, mixed numbers and the order of operations |
| 1 to 12 | Paper 2 | Substitution, formulae in words and letters, linear sequences, missing numbers, combinations, conversions and perimeter |
| 13 to 25 | Paper 2 | Two unknowns, sequences, combinations, metric conversions, time, perimeter and written checks |
Use this sheet to choose which chapter to revisit. Any item you got wrong shows which statement needs more practice.
Key ideas
- Show the working for multi-step problems.
- Check each answer with the opposite operation.
- Use the feedback sheet to find your next step.
Method. Replace the letters, then multiply and add.
- Substitute. 2 × 7 + 3 × 2.2 × 7 + 3 × 2
- Multiply. 14 + 6.14 + 6
- Add. 14 + 6 = 20.20
- Write the answer. 20
Check. 20 - 6 = 14 = 2 × 7. ✓
Method. Subtract the first equation from the second.
- Subtract. (2x + y) - (x + y) = 15 - 9, so x = 6.x = 6
- Find y. 6 + y = 9, so y = 3.y = 3
- Write the answer. x = 6 and y = 3
Check. 2 × 6 + 3 = 15. ✓
Method. Find the step, then add it nine times to the first term.
- Find the step. 17 - 12 = 5.5
- Add nine steps. 12 + 9 × 5 = 12 + 45.57
- Write the answer. 57
Check. 12 + 45 = 57. ✓
Exercise 9D Paper 2, part B
Non-calculatorMethod. Replace x and y, then multiply and subtract.
- Substitute. 5 × 6 - 2 × 4.5 × 6 - 2 × 4
- Work out. 30 - 8 = 22.22
- Write the answer. 22
Check. 22 + 8 = 30 = 5 × 6. ✓
Method. Replace a and c, then work out each part.
- Substitute. 5 × 2 + 3 × 7.5 × 2 + 3 × 7
- Work out. 10 + 21 = 31.31
- Write the answer. £31
Check. 31 - 21 = 10. ✓
Method. Subtract the second equation from the first.
- Subtract. (2x + y) - (x + y) = 15 - 9, so x = 6.x = 6
- Write the answer. 6
Check. 6 + y = 9, so y = 3. ✓
Method. Add the step of 5 nine times.
- Find the step. 17 - 12 = 5.5
- Add nine steps. 12 + 9 × 5 = 57.57
- Write the answer. 57
Check. 57 - 12 = 45 = 9 × 5. ✓
Method. Multiply by 1000.
- Multiply. 3.6 × 1000 = 3,600.3,600 m
- Write the answer. 3,600 m
Check. 3,600 ÷ 1000 = 3.6 km. ✓
Method. Divide by 5, then multiply by 8.
- Divide by 5. 15 ÷ 5 = 3.3
- Multiply by 8. 3 × 8 = 24.24 km
- Write the answer. about 24 km
Check. 24 km is about 15 miles. ✓
Method. List the factor pairs of 36 with a smaller than b.
- List the pairs. (1, 36), (2, 18), (3, 12), (4, 9).4 pairs
- Write the answer. 4
Check. Each pair multiplies to 36. ✓
Method. Go through the number of 10p coins in order.
- Try 0 ten-pence coins. 15p with 5p coins: 3 coins.(3, 0)
- Try 1 ten-pence coin. 5p left, which is 1 five-pence coin.(1, 1)
- Count. There are 2 ways.2 ways
- Write the answer. 2 ways
Check. 3 × 5 = 15 and 10 + 5 = 15. ✓
Method. Multiply the side by itself.
- Multiply. 11 × 11 = 121.121 cm²
- Write the answer. 121 cm²
Check. 121 ÷ 11 = 11. ✓
Method. Change the litres to millilitres, then divide by 250.
- Change to ml. 2.5 litres = 2,500 ml.2,500 ml
- Divide. 2,500 ÷ 250 = 10.10
- Write the answer. 10
Check. 10 × 250 = 2,500. ✓
Method. Add the hours, then the minutes, carrying past 60.
- Add 2 hours. 10:35 + 2 hours = 12:35.12:35
- Add 50 minutes. 12:35 + 50 minutes = 13:25, since 35 + 50 = 85 and 85 - 60 = 25.13:25
- Write the answer. 13:25
Check. 13:25 - 2 h 50 min = 10:35. ✓
Method. Find the missing sides, then add all six sides.
- Find the missing lengths. The corner is 6 cm by 4 cm, so the sides are 5 cm and 8 cm.9 - 4 = 5, 14 - 6 = 8
- List the six sides. An L-shape has six straight sides.14 cm, 5 cm, 6 cm, 4 cm, 8 cm, 9 cm
- Add the sides. Add every side to get the perimeter.14 + 5 + 6 + 4 + 8 + 9 = 46
- Write the answer. 46 m
Check. 2 × (14 + 9) = 46. ✓
Method. Multiply 36 by 24 with partial products.
- Multiply by the ones digit, 4 (4). Write the partial product.36 × 4 = 144
- Multiply by the tens digit, 2 (20). Write the partial product.36 × 20 = 720
- Add the partial products. Add them to get the answer.144 + 720 = 864
- Write the answer. 864
Check. About 40 × 25 = 1,000, close to 864. ✓