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Two-Digit Division Practice

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Two-Digit Division Practice

Help organise supplies for a community festival. Divide by two-digit numbers, estimate before calculating, and show enough working to explain your thinking. Give remainders in the form each question asks for.

Estimate and calculate

Use friendly numbers to judge whether your exact answer is sensible.

1.The festival has 936 paper wristbands. They are packed equally into bundles of 24. Estimate the number of bundles by rounding 936 and 24 to compatible numbers, then calculate exactly.

2.A food stall has 1,275 napkins and puts 35 napkins in each pack. How many full packs can it make, and how many napkins are left?

3.A volunteer calculates 864 ÷ 32 as 26 remainder 32. Is this a valid final answer? Explain the error and give the correct answer.

Remainders have different meanings

Choose a useful way to express each result: as a remainder, a fraction, a decimal, or by rounding up for a real situation.

4.There are 503 festival tickets to share equally among 16 helpers. Give each helper's share as a mixed number of tickets.

5.A stage crew needs to move 418 chairs. Each trolley holds 28 chairs. What is the minimum number of trolley loads needed? Explain why your answer is not just the quotient.

6.A stall earns $735 over 21 hours and earns the same amount each hour. How much does it earn per hour?

Spot the best method

Use multiplication facts to check division and compare estimates with exact results.

7.Which is the best estimate for 1,186 ÷ 29? Choose one and briefly justify it.

About 4
About 20
About 40
About 100

8.Match each festival supply calculation to its exact answer: (a) 672 ÷ 28, (b) 1,035 ÷ 45, (c) 944 ÷ 32. Answers: 24, 23, 29 remainder 16.

(a) 672 ÷ 28
(b) 1,035 ÷ 45
(c) 944 ÷ 32

23
29 remainder 16
24

9.True or false? If a whole-number division calculation has a remainder, the remainder must be less than the divisor. Give a numerical example to support your answer.

10.A fruit stall has 1,458 mandarins to place into crates holding 27 each. Complete the calculation: 1,458 ÷ 27 = remainder .

11.Check your answer to the fruit stall division by multiplying the quotient by 27 and adding the remainder.

12.Create a fair-sharing division question for the festival that uses a two-digit divisor and has a remainder of 5. Write the question, solve it, and show how you checked it.