Year 6 Arithmetic (SATs) Practice papers: arithmetic: check-up and practice test questions

Method. Add the thousands, then the rest.

1. Thousands. 4,000 + 3,000 = 7,000.
   7,000
2. Rest. 600 + 500 = 1,100.
   8,100
3. Write the answer.
   8,100

Check. 8,100 - 500 = 7,600. ✓

Method. Split 12 into 10 and 2.

1. Multiply. 10 × 9 = 90 and 2 × 9 = 18.
   108
2. Write the answer.
   108

Check. 108 ÷ 9 = 12. ✓

Method. Find a quarter, then multiply by 3.

1. Quarter. 60 ÷ 4 = 15.
   15
2. Multiply. 15 × 3 = 45.
   45
3. Write the answer.
   45

Check. 45 ÷ 3 = 15. ✓

Method. Multiply by 100.

1. Multiply. 0.45 × 100 = 45.
   45%
2. Write the answer.
   45%

Check. 45 ÷ 100 = 0.45. ✓

Method. Share 45 into 9 parts.

1. Parts. 4 + 5 = 9.
   9
2. One part. 45 ÷ 9 = 5.
   5
3. Bigger share. 5 × 5 = 25.
   25
4. Write the answer.
   25

Check. 20 + 25 = 45. ✓

Method. Replace p, then multiply and subtract.

1. Substitute. 6 × 5 - 2.
   6 × 5 - 2
2. Work out. 30 - 2 = 28.
   28
3. Write the answer.
   28

Check. 28 + 2 = 30. ✓

Method. Find the step, then subtract it.

1. Step. 37 - 40 = -3.
   -3
2. Subtract. 31 - 3 = 28.
   28
3. Write the answer.
   28

Check. 28 + 3 = 31. ✓

Method. Multiply by 1000.

1. Multiply. 1.75 × 1000 = 1,750.
   1,750 g
2. Write the answer.
   1,750 g

Check. 1,750 ÷ 1000 = 1.75. ✓

Method. Brackets, then divide, then add.

1. Brackets. 25 - 9 = 16.
   16 ÷ 4 + 3
2. Divide. 16 ÷ 4 = 4.
   4 + 3
3. Add. 4 + 3 = 7.
   7
4. Write the answer.
   7

Check. Working left to right would give a different answer. ✓

Method. Multiply column by column from the right.

1. Multiply by the ones digit, 5 (5). Write the partial product.
   2,046 × 5 = 10,230
2. Add the partial products. Add them to get the answer.
   10,230 = 10,230
3. Write the answer.
   10,230

Check. 10,230 ÷ 5 = 2,046. ✓

Method. Use partial products.

1. Multiply by the ones digit, 6 (6). Write the partial product.
   73 × 6 = 438
2. Multiply by the tens digit, 1 (10). Write the partial product.
   73 × 10 = 730
3. Add the partial products. Add them to get the answer.
   438 + 730 = 1,168
4. Write the answer.
   1,168

Check. About 70 × 16 = 1,120, close to 1,168. ✓

Method. Divide one digit at a time.

1. Bring down the next digit to make 1. 18 goes into 1 0 times.
   1 < 18, so 0, remainder 1
2. Bring down the next digit to make 17. 18 goes into 17 0 times.
   17 < 18, so 0, remainder 17
3. Bring down the next digit to make 173. 18 goes into 173 9 times.
   173 - 162 = 11
4. Bring down the next digit to make 114. 18 goes into 114 6 times.
   114 - 108 = 6
5. Write the answer.
   96 remainder 6

Check. 18 × 96 + 6 = 1,734. ✓

Method. Replace x with 5, then multiply and subtract.

1. Substitute. 4 × 5 - 3.
   4 × 5 - 3
2. Work out. 20 - 3 = 17.
   17
3. Write the answer.
   17

Check. 17 + 3 = 20 = 4 × 5. ✓

Method. Find the step.

1. Step. 6 - 9 = -3.
   -3
2. Next term. 0 - 3 = -3.
   -3
3. Write the answer.
   -3

Check. The step is subtract 3. ✓

Method. Multiply by 1000.

1. Multiply. 4.2 × 1000 = 4,200.
   4,200 m
2. Write the answer.
   4,200 m

Check. 4,200 ÷ 1000 = 4.2. ✓

Method. Divide by 8, then multiply by 5.

1. Divide by 8. 56 ÷ 8 = 7.
   7
2. Multiply by 5. 7 × 5 = 35.
   35 miles
3. Write the answer.
   about 35 miles

Check. 35 miles is about 56 km. ✓

Method. Multiply the length by the width.

1. Multiply. 12 × 7 = 84.
   84 m²
2. Write the answer.
   84 m²

Check. 84 ÷ 7 = 12. ✓

Method. Share 120 into four parts.

1. Parts. 1 + 3 = 4.
   4
2. One part. 120 ÷ 4 = 30.
   30
3. Write the answer.
   30

Check. 30 + 90 = 120. ✓

Method. Multiply first, then add and subtract from left to right.

1. Multiply. 4 × 6 = 24.
   15 + 24 - 9
2. Add and subtract. 15 + 24 = 39, then 39 - 9 = 30.
   30
3. Write the answer.
   30

Check. The answer is 30. ✓

Method. Check the multiplier for each part.

1. Multiply. 2 × 2 = 4 and 5 × 2 = 10.
   4 : 10
2. Write the answer.
   Because 4 : 10 is 2 : 5 with both parts multiplied by 2.

Check. 4 ÷ 2 = 2 and 10 ÷ 2 = 5. ✓