Problem solving with integers and decimals

12 questions

1. Match each calculation to its correct answer. Use your knowledge of identifying a reasonable answer and do not work out the calculations.
2. Without using a calculator, work out the answer to 4\times8 + 6\times5 = ___
3. Match each number with its additive inverse.
4. Starting with the calculation with the lowest answer, sort these calculations into order of size.
5. Work out the missing number: 33 \times 0.6 + 33 \times ___ = 33
6. Work out the missing number: 4.5 \times 0.23 + 4.5 \times ___ = 4.5
7. Laura has £23.21. She spends £12.45 and then spends £9.29. She then finds £2.89. Without using a calculator, work out how much money she has left. £___
8. Lucas has a £20 note. He needs to buy 6 packets of donuts for a party. Each packet costs £3.12. Work out how much change Lucas will have left. £___
9. Some children each grow a tomato plant. Alex’s plant is 28.4 cm, Jacob’s plant is 35.8 cm, Sofia’s plant is 32.4 cm and Andeep’s plant is 24.4 cm. Work out the mean height of the plants. ___ cm
10. An isosceles triangle has one angle of 43.6^\circ and another angle of 92.8^\circ. Three students work out the third angle. Who is correct?
11. The starting line is at 0. If you twist this combination clock anticlockwise 50, which number will the combination lock starting line be on?
12. A combination lock starts at 0. It is twisted 23 anticlockwise, then 78 clockwise, then 80 anticlockwise and then 13 clockwise. Which number is the combination lock now indicating? ___

License: OGL