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Number Operations Review Worksheet

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Number Operations Review Worksheet

Show your working for calculation questions. Give money answers in New Zealand dollars and cents where needed.

Number Operations

1.Work out −18 + 31 − 9. Show the order of your calculations.
-20-15-10-505101520
2.Calculate 5/6 × 9/10. Simplify your answer.
3.Find the value of 6.72 ÷ 0.8.
4.Complete each conversion: (a) 7/20 as a decimal and percentage; (b) 0.625 as a simplified fraction and percentage; (c) 35% as a decimal and simplified fraction.
5.Estimate 28.6 × 3.9 by rounding each factor to the nearest whole number, then calculate the exact product.
6.Which calculation checks whether 168 ÷ 14 = 12 is correct?
  • 168 − 14
  • 14 × 12
  • 168 + 12
  • 14 ÷ 12

Everyday Calculations

7.A sports club prepares 160 snack packs for an event. It sells 3/4 of them for $5 each. (a) How many packs are sold? (b) How much money does the club collect? (c) The club donates 10 of the unsold packs. What percentage of all the packs prepared are donated? Show how you worked out your answers.
8.A bicycle helmet is priced at $96. It is reduced by 20%, and then a $7 delivery fee is added. What is the total cost? Use an estimate to check that your answer is reasonable.

Explain and Choose a Strategy

9.A student claims that 0.4 + 1/3 = 0.7. Explain why this total is not correct, and give the exact sum as a fraction and as a decimal.
10.Which method is most efficient for adding 496 + 305 + 504?
  • Add from left to right without changing the order.
  • Pair 496 and 504 to make 1,000, then add 305.
  • Round every number down to the nearest hundred and stop.
  • Multiply the three numbers.
11.Show how the efficient method for 496 + 305 + 504 works, and state the total.

3 printable pages

  • Integer, fraction and decimal calculations, conversions, estimation and a multiplication check.

    Page 1

  • Multi-step everyday money calculations using fractions, percentages and estimation.

    Page 2

  • Mathematical reasoning about fractions and choosing an efficient addition strategy.

    Page 3

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