Decimals and percentages · Ages 11–12

What a percentage is worksheet

Part of: Percentages

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Decimals and percentages · Ages 11–12

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The big square is split into 100 equal squares. The unshaded part is % of the whole.
Answer:
2.The big square is split into 100 equal squares. The shaded part is % of the whole.
Answer:
3.The rectangle is split into 4 equal parts. The shaded part is % of the whole.
Answer:
4.The big square is split into 100 equal squares. The shaded part is % of the whole; as a decimal, that is .
Fill in each blank
Answer:

5.What does “89%” mean?
- A. 100 out of every 89
- B. 1 out of 89
- C. 89 out of every 100
- D. 89 out of every 10
Choose the right answer
Answer:
6.In which picture is 43% shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
7.What does “67%” mean?
- A. 67 out of every 10
- B. 100 out of every 67
- C. 1 out of 67
- D. 67 out of every 100
Choose the right answer
Answer:
8.In which picture is 61% shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
9.In which picture is 49% shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
10.What does “49%” mean?
- A. 100 out of every 49
- B. 49 out of every 100
- C. 49 out of every 10
- D. 1 out of 49
Choose the right answer
Answer:
11.The big square is split into 100 equal squares, some shaded in two colours. The coloured part is 51% of the whole altogether.
True or false?
Answer:
12.The big square is split into 100 equal squares, some shaded in two colours. The coloured part is 46% of the whole altogether.
True or false?
Answer:

13.A car park has 100 spaces, and 88 cars are parked in it, one to a space. What percentage of the spaces are empty?
Working:
Answer:
14.On a sheet of 100 squares, May colours 33 squares red and 31 blue, and leaves the rest white. What percentage of the sheet is white?
Working:
Answer:
15.Ka-yee has a rope 1 m long and cuts off 14 cm. What percentage of the rope is cut off?
Working:
Answer:
16.A cake is cut into 20 equal slices, and Ka-yan's family eats 11 of them. What percentage of the cake have they eaten?
Working:
Answer:
17.Ka-lok has a rope 1 m long and cuts off 15 cm. What percentage of the rope is cut off?
Working:
Answer:
18.On a sheet of 100 squares, May colours 27 squares red and 17 blue, and leaves the rest white. What percentage of the sheet is white?
Working:
Answer:

Show the answers and working

What a percentage is worksheet: Answers and working

1. 15
Count the shaded squares first, then think how many of the 100 are left unshaded.
85 are shaded, so 100 − 85 = 15 are not: 15%.
2. 55
Count the shaded squares. However many out of 100, that's the percentage.
55 of the 100 squares are shaded: 55100 = 55%.
3. 25
The whole is 100%, split into 4 equal parts. What percentage is each part? Then count the shaded parts.
The whole is 100%, so each part is 100% ÷ 4 = 25%; 1 parts are 25%.
4. 12, 0.12
Count the shaded squares: that many out of 100 is the percentage. As a decimal, think which place “out of 100” is.
12 squares are 12100 = 12%, which is 0.12 as a decimal.

5. C. 89 out of every 100
The % sign means “out of every 100”.
89% = 89100: the whole in 100 equal parts, 89 of them.
6. B
43% means how many of the 100 squares shaded? Count in each picture.
43% means 43 of the 100 squares shaded.
7. D. 67 out of every 100
The % sign means “out of every 100”.
67% = 67100: the whole in 100 equal parts, 67 of them.
8. A
61% means how many of the 100 squares shaded? Count in each picture.
61% means 61 of the 100 squares shaded.
9. C
49% means how many of the 100 squares shaded? Count in each picture.
49% means 49 of the 100 squares shaded.
10. B. 49 out of every 100
The % sign means “out of every 100”.
49% = 49100: the whole in 100 equal parts, 49 of them.
11. False
Count the squares of each colour, add them, and compare with 51.
The two colours have 32 and 9 squares: 41 in all, so 41%.
12. True
Count the squares of each colour, add them, and compare with 46.
The two colours have 35 and 11 squares: 46 in all, so 46%.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 12%
Of the 100 spaces, how many are empty?
100 − 88 = 12 are empty: 12 out of 100, which is 12%.
14. 36%
Find the coloured squares first, 33 + 31. How many of the 100 are left?
33 + 31 = 64 are coloured; 100 − 64 = 36, so 36%.
15. 14%
How many centimetres make 1 m? The part cut off is how many of those?
1 m = 100 cm, so 14 cm is 14 out of 100: 14%.
16. 55%
The whole cake is 100%, cut into 20 equal slices. What percentage is each slice?
The whole cake is 100%, so each slice is 100% ÷ 20 = 5%; 11 slices are 55%.
17. 15%
How many centimetres make 1 m? The part cut off is how many of those?
1 m = 100 cm, so 15 cm is 15 out of 100: 15%.
18. 56%
Find the coloured squares first, 27 + 17. How many of the 100 are left?
27 + 17 = 44 are coloured; 100 − 44 = 56, so 56%.

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