Decimals and percentages · Ages 11–12

Ordering fractions, decimals and percentages 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 number the arrow points to on the number line, written as a percentage, is %.
Answer:
2.4350 is % more than 84%.
Answer:
3.625 is % more than 9%.
Answer:
4.2225 is % more than 66%.
Answer:
5.3150 is % more than 42%.
Answer:
6.Put these numbers in order, smallest first.
- A. 2125
- B. 96%
- C. 0.87
- D. 79%
Write the letters in the right order
Answer:

13.Of three drinks, drink A is 1125 fruit juice, drink B is 0.36 juice and drink C is 37% juice. What percentage of the juiciest drink is juice?
Working:
Answer:
14.Four children practise shooting hoops: Tsz-hin scores 6 of 25 shots, Ka-yee scores with 0.31 of shots, Ka-lok with 17% of shots, and May scores 23 of 100 shots. Whose scoring rate is the highest?
- A. May
- B. Ka-lok
- C. Tsz-hin
- D. Ka-yee
Choose the right answer
Working:
Answer:
15.Of a sports club's members, 1725 like swimming, 0.77 like running and 58% like cycling (some like more than one). The most liked and the least liked differ by what percentage of all members?
Working:
Answer:
16.The forecast says the chance of rain is 86% on Monday, 45 on Tuesday, 0.71 on Wednesday and 0.81 on Thursday. Which day has the lowest chance of rain?
- A. Tuesday
- B. Thursday
- C. Monday
- D. Wednesday
Choose the right answer
Working:
Answer:
17.Of three drinks, drink A is 15 fruit juice, drink B is 0.24 juice and drink C is 19% juice. What percentage of the juiciest drink is juice?
Working:
Answer:
18.The forecast says the chance of rain is 52% on Monday, 920 on Tuesday, 0.48 on Wednesday and 0.44 on Thursday. Which day has the lowest chance of rain?
- A. Tuesday
- B. Wednesday
- C. Thursday
- D. Monday
Choose the right answer
Working:
Answer:

Show the answers and working

Ordering fractions, decimals and percentages worksheet: Answers and working

1. 60
How many small steps is 0 to 1 split into? What percentage is each step?
0 to 1 is split into 20 small steps, each 120 = 5%; the arrow is at step 12: 12 × 5 = 60%.
2. 2
Turn 4350 into a percentage first, then subtract 84%.
4350 = 86%; 86% − 84% = 2%.
3. 15
Turn 625 into a percentage first, then subtract 9%.
625 = 24%; 24% − 9% = 15%.
4. 22
Turn 2225 into a percentage first, then subtract 66%.
2225 = 88%; 88% − 66% = 22%.
5. 20
Turn 3150 into a percentage first, then subtract 42%.
3150 = 62%; 62% − 42% = 20%.
6. D → A → C → B
Turn 2125 and 0.87 into percentages; with all four as percentages, they are easy to order.
All as percentages: 2125 = 84% and 0.87 = 87%; 79% < 84% < 87% < 96%.

7. B. 0.55
Make them all percentages: turn the fraction into hundredths, and multiply the decimals by 100.
All as percentages: 720 = 35%, 0.55 = 55%, 0.05 = 5%, and 30%. The largest is 55%.
8. A. 0.7
Make them all percentages: turn the fraction into hundredths, and multiply the decimals by 100.
All as percentages: 34 = 75%, 0.7 = 70%, 0.78 = 78%, and 73%. The smallest is 70%.
9. False
Turn 920 and 0.54 both into percentages, then compare.
920 = 45100 = 45% and 0.54 = 54%: compare 45 with 54.
10. False
Turn 1320 and 0.72 both into percentages, then compare.
1320 = 65100 = 65% and 0.72 = 72%: compare 65 with 72.
11. False
Turn 2225 and 0.97 both into percentages, then compare.
2225 = 88100 = 88% and 0.97 = 97%: compare 88 with 97.
12. False
Turn 1725 and 0.75 both into percentages, then compare.
1725 = 68100 = 68% and 0.75 = 75%: compare 68 with 75.

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

13. 44%
Turn 1125 and 0.36 into percentages, then compare with 37%.
1125 = 44%, 0.36 = 36%, and 37%: the highest is 44%.
14. D. Ka-yee
Turn all four rates into percentages: 625, 0.31, 17% and 23100.
All as percentages: 24%, 31%, 17% and 23%; the highest is 31%.
15. 19%
Turn 1725 and 0.77 into percentages, then find the biggest and smallest along with 58%.
1725 = 68%, 0.77 = 77%, and 58%: 77% − 58% = 19%.
16. D. Wednesday
Turn all four days' chances into percentages, then compare.
All as percentages: 86%, 80%, 71% and 81%; the lowest is 71%.
17. 24%
Turn 15 and 0.24 into percentages, then compare with 19%.
15 = 20%, 0.24 = 24%, and 19%: the highest is 24%.
18. C. Thursday
Turn all four days' chances into percentages, then compare.
All as percentages: 52%, 45%, 48% and 44%; the lowest is 44%.

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