Year 6 Arithmetic (SATs): Paper 1, 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 1, part A (items 1 to 12)
How to use this paper
Paper 1 has 24 items in two parts, and it draws on Chapters 1 to 5 and 7. Aim to finish in about 30 minutes. This is a practice guide, not the official timing.
Show your working on paper. Check each answer with an estimate or the opposite operation.
Key ideas
- Work through the items in order, and check each one.
- Use the working you learned in Chapters 1 to 5 and 7.
- Every answer is written in the form the question asks for.
Method. Use partial products, one for each digit of 24.
- Multiply by the ones digit, 4 (4). Write the partial product.3,056 × 4 = 12,224
- Multiply by the tens digit, 2 (20). Write the partial product.3,056 × 20 = 61,120
- Add the partial products. Add them to get the answer.12,224 + 61,120 = 73,344
- Write the answer. 73,344
Check. About 3,000 × 24 = 72,000, close to 73,344. ✓
Method. Divide one digit at a time from the left.
- Bring down the next digit to make 4. 8 goes into 4 0 times.4 < 8, so 0, remainder 4
- Bring down the next digit to make 41. 8 goes into 41 5 times.41 - 40 = 1
- Bring down the next digit to make 15. 8 goes into 15 1 time.15 - 8 = 7
- Bring down the next digit to make 72. 8 goes into 72 9 times.72 - 72 = 0
- Write the answer. 519
Check. 519 × 8 = 4,152. ✓
Method. Find one fifth, then multiply by 3.
- Find one fifth. 45 ÷ 5 = 9.9
- Multiply by 3. 9 × 3 = 27.27
- Write the answer. 27
Check. 27 ÷ 3 = 9, and 9 × 5 = 45. ✓
Exercise 9A Paper 1, part A
Non-calculatorMethod. Add the thousands, then the rest.
- Add the thousands. Add the big parts first.3,000 + 2,000 = 5,000
- Add the rest. Add the smaller parts.406 + 579 = 985
- Put the parts together. Add the two totals.5,985
- Write the answer. 5,985
Check. 5,985 - 2,579 = 3,406. ✓
Method. Take away 3,000 first, then take away the rest.
- Take away 3,000. 8,000 - 3,000 = 5,000.5,000
- Take away 462. 5,000 - 462 = 4,538.4,538
- Write the answer. 4,538
Check. 4,538 + 3,462 = 8,000. ✓
Method. Split 14 into 10 and 4.
- Multiply the tens. 10 × 6 = 60.60
- Multiply the ones and add. 4 × 6 = 24, and 60 + 24 = 84.84
- Write the answer. 84
Check. 84 ÷ 6 = 14. ✓
Method. Multiply each column from the right, carrying where needed.
- Multiply by the ones digit, 7 (7). Write the partial product.326 × 7 = 2,282
- Add the partial products. Add them to get the answer.2,282 = 2,282
- Write the answer. 2,282
Check. About 300 × 7 = 2,100, close to 2,282. ✓
Method. Divide one digit at a time from the left.
- Bring down the next digit to make 4. 8 goes into 4 0 times.4 < 8, so 0, remainder 4
- Bring down the next digit to make 41. 8 goes into 41 5 times.41 - 40 = 1
- Bring down the next digit to make 15. 8 goes into 15 1 time.15 - 8 = 7
- Bring down the next digit to make 72. 8 goes into 72 9 times.72 - 72 = 0
- Write the answer. 519
Check. 519 × 8 = 4,152. ✓
Method. Find the column of the 6, then multiply.
- Find the column. The 6 is in the ten thousands column.ten thousands
- Multiply. 6 × 10,000 = 60,000.60,000
- Write the answer. 60,000
Check. The 6 is in the ten thousands column. ✓
Method. Look at the hundreds digit.
- Look at the hundreds digit. The hundreds digit is 6, so round up.46,000
- Write the answer. 46,000
Check. 46,000 is nearer than 45,000. ✓
Method. Write 3/4 as eighths, then add.
- Make the bottoms the same. 3/4 = 6/8.6/8
- Add the tops. 6/8 + 1/8 = 7/8.7/8
- Write the answer. 7/8
Check. 7/8 - 1/8 = 6/8 = 3/4. ✓
Method. Multiply as whole numbers, then put the point back.
- Ignore the point. 6 × 5 = 30.30
- Put the point back. One decimal place, so 3.0.3
- Write the answer. 3
Check. 3 ÷ 5 = 0.6. ✓
Method. Find 1% first, then multiply by 25.
- Find 1%. 360 ÷ 100 = 3.6.3.6
- Multiply by 25. 3.6 × 25 = 90.90
- Write the answer. 90
Check. A quarter of 360 is 90. ✓
Method. Share the pupils in the ratio 3 : 5.
- Add the parts. 3 + 5 = 8 parts.8
- Find one part. 40 ÷ 8 = 5.5
- Find the boys. 3 × 5 = 15.15
- Write the answer. 15
Check. 15 boys and 25 girls make 40. ✓
Method. Multiply before you add.
- Multiply. 3 × 4 = 12.7 + 12
- Add. 7 + 12 = 19.19
- Write the answer. 19
Check. Adding first would give 40, which is wrong. ✓