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Percentage and Whole Problems

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Percentage and Whole Problems

Work out each answer. Show your working where space is provided. Use dollars and cents where needed.

Finding a percentage of an amount

Calculate each percentage.

1.Find 25% of $240.

2.A rainforest trail has 180 visitors in a day. How many visitors make up 30% of the total?

3.Nathan has $60 to spend on supplies for a rainforest walk. What is 15% of $60?

4.At a nature reserve, 65% of 320 seedlings are growing well. How many seedlings is that?

Finding the whole amount

Use the percentage and part given to find the full amount.

5.A quarter of a number is 42. What is the whole number?

6.During a rainforest walk, 35% of the group, or 14 people, stop at a lookout. How many people are in the whole group?

7.A rain jacket costs $54 after a 10% discount. What was its price before the discount?

8.Wiremu has counted 84 birds, which is 70% of all the birds recorded on a trail. How many birds were recorded altogether?

Percentages in bar models

Use equal parts in each bar model to show how the percentage relates to the whole.

9.A rainforest survey counted 150 insects. Complete a bar model to show that 40% of 150 is 60. Label the whole and the 40% part.

Draw your model for the insect survey problem.

10.Draw a bar model for this situation: 25% of a total amount of money is $35. Label the 25% part and the whole. What is the whole amount?

Draw and label your bar model for the money problem.

11.A group of 96 walkers is 20% of the total number of walkers expected over a weekend. Show the relationship with a bar model and find the expected total.

Draw and label a bar model for the walkers problem.

Everyday percentage problems

Solve each problem. Include units in your answers.

12.Rawiri receives $28 pocket money each week and saves 25% of it. How much does he save?

13.A walking group completes 80% of a 35-kilometre track. How many kilometres have they walked?

14.A lookout point is visited by 126 people, which is 60% of the number expected that day. How many people were expected?

15.A pair of walking boots was priced at $250. Wiremu paid $200 in a sale. What percentage discount did he receive?

Quick checks

Choose the best answer for each question.

16.What is 12% of 300?

17.If 50% of a number is 68, what is the number?

18.Which decimal is equivalent to 42%?

4.2
0.42
0.042
42.0

19.The bar is split into 10 equal parts. What percentage is represented by the shaded 3 parts?

Explain your method

Use clear steps and a suitable example in each response.

20.Explain one way to calculate 20% of any amount. Include an example using 20% of 160.

21.Suppose 40% of a total is 96. Describe how to find the full amount, then calculate it.

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Year 6

Percentage and Whole Problems

Percentage and Whole Problems

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Finding the whole amount

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Quick checks

Explain your method

5 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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