Year 6 Arithmetic (SATs) Measures and conversions: check-up and practice test questions

Method. Multiply by 100.

1. Write the conversion fact. 1 m is 100 cm.
   1 m = 100 cm
2. Multiply to change to the smaller unit. Each m has 100 cm, so multiply.
   6.25 × 100 = 625
3. Write the answer.
   625 cm

Check. 625 ÷ 100 = 6.25 m. ✓

Method. Divide by 1000.

1. Write the conversion fact. 1000 g is 1 kg.
   1000 g = 1 kg
2. Divide to change to the bigger unit. Each kg is 1000 g, so divide.
   8300 ÷ 1000 = 8.3
3. Write the answer.
   8.3 kg

Check. 8.3 × 1000 = 8,300. ✓

Method. Multiply by 1000.

1. Write the conversion fact. 1 litres is 1000 ml.
   1 litres = 1000 ml
2. Multiply to change to the smaller unit. Each litres has 1000 ml, so multiply.
   4.5 × 1000 = 4500
3. Write the answer.
   4,500 ml

Check. 4,500 ÷ 1000 = 4.5. ✓

Method. Multiply by 60.

1. Find the minutes. 2 × 60 = 120 and 0.25 × 60 = 15.
   135 minutes
2. Write the answer.
   135 minutes

Check. 135 ÷ 60 = 2.25 hours. ✓

Method. Add the hours, then the minutes.

1. Add 2 hours. 16:40 + 2 hours = 18:40.
   18:40
2. Add 35 minutes. 18:40 + 35 minutes = 19:15.
   19:15
3. Write the answer.
   19:15

Check. 19:15 - 2 h 35 min = 16:40. ✓

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 by 2.5.

1. Multiply. 12 × 2.5 = 30.
   30 cm
2. Write the answer.
   about 30 cm

Check. 30 ÷ 2.5 = 12 inches. ✓

Method. Find the missing sides, then add all six.

1. Find the missing lengths. The notch is 4 cm by 3 cm, so the sides are 4 cm, 7 cm and so on.
   7 - 3 = 4, 11 - 4 = 7
2. List the six sides. An L-shape has six straight sides.
   11 cm, 4 cm, 4 cm, 3 cm, 7 cm, 7 cm
3. Add the sides. Add every side to get the perimeter.
   11 + 4 + 4 + 3 + 7 + 7 = 36
4. Write the answer.
   36 cm

Check. 2 × (11 + 7) = 36 cm. ✓

Method. Multiply length by width.

1. Write the formula. Area of a rectangle is length × width.
   A = l × w
2. Multiply. Multiply 13 m by 4 m.
   13 × 4 = 52
3. Write the answer.
   52 m²

Check. 52 ÷ 4 = 13. ✓

Method. Use 1 m = 100 cm.

1. Use the fact. 1 m = 100 cm.
   100 cm
2. Multiply. 0.5 × 100 = 50.
   50 cm
3. Write the answer.
   Because 1 m is 100 cm, half a metre is 50 cm, so 0.5 × 100 = 50 cm.

Check. 50 ÷ 100 = 0.5 m. ✓

Method. Multiply by 1000.

1. Write the conversion fact. 1 km is 1000 m.
   1 km = 1000 m
2. Multiply to change to the smaller unit. Each km has 1000 m, so multiply.
   7.5 × 1000 = 7500
3. Write the answer.
   7,500 m

Check. 7,500 ÷ 1000 = 7.5 km. ✓

Method. Divide by 60.

1. Divide. 3,600 ÷ 60 = 60.
   60 minutes
2. Write the answer.
   60 minutes

Check. 60 × 60 = 3,600. ✓

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. Change 3 litres to millilitres, then divide by 750.

1. Change to ml. 3 litres = 3,000 ml.
   3,000 ml
2. Divide. 3,000 ÷ 750 = 4.
   4
3. Write the answer.
   4

Check. 4 × 750 = 3,000. ✓

Method. Divide by 5, then multiply by 8.

1. Divide by 5. 30 ÷ 5 = 6.
   6
2. Multiply by 8. 6 × 8 = 48.
   48 km
3. Write the answer.
   about 48 km

Check. 48 km is about 30 miles. ✓

Method. Find the missing sides, then add.

1. Find the missing lengths. The notch is 2 cm by 2 cm, so the sides are 3 cm, 6 cm and so on.
   5 - 2 = 3, 8 - 2 = 6
2. List the six sides. An L-shape has six straight sides.
   8 cm, 3 cm, 2 cm, 2 cm, 6 cm, 5 cm
3. Add the sides. Add every side to get the perimeter.
   8 + 3 + 2 + 2 + 6 + 5 = 26
4. Write the answer.
   26 cm

Check. 2 × (8 + 5) = 26. ✓

Method. Multiply the side by itself.

1. Multiply. 12 × 12 = 144.
   144 cm²
2. Write the answer.
   144 cm²

Check. 144 ÷ 12 = 12. ✓

Method. Multiply length by width.

1. Multiply. 6 × 3 = 18.
   18 m²
2. Write the answer.
   18 m²

Check. 18 ÷ 3 = 6. ✓

Method. Multiply by 25, then change litres to bottles.

1. Multiply. 2 × 25 = 50 litres.
   50 litres
2. Change to bottles. 50 litres = 50,000 ml, and 50,000 ÷ 500 = 100.
   100 bottles
3. Write the answer.
   About 50 litres, which is 100 bottles of 500 ml.

Check. 100 × 500 = 50,000 ml = 50 litres. ✓

Method. Work out each perimeter.

1. Rectangle. 2 × (5 + 4) = 18 cm.
   18 cm
2. Square. 4 × 5 = 20 cm.
   20 cm
3. Write the answer.
   No, the rectangle has perimeter 18 cm, because 2 × (5 + 4) = 18, and the square has perimeter 20 cm.

Check. 18 is not 20. ✓