Fractions · Ages 10–11
Fractions: mixed operations worksheet
Part of: Multiplying and dividing fractions
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Fractions: mixed operations worksheet
Fractions · Ages 10–11
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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.
Part A: Working out and filling in (2 marks each)
1.12 + 13 × 56 = (an improper fraction is fine)
Answer in simplest form
Answer:
2.89 − 16 ÷ 59 = ?
Answer in simplest form
Answer:
3.12 − 112 ÷ 15 = ?
Answer in simplest form
Answer:
4.(710 + 12) × 3 = (an improper fraction is fine)
Answer in simplest form
Answer:
5.16 ÷ (13 − 16) = (an improper fraction is fine)
Answer in simplest form
Answer:
6.23 ÷ (38 − 14) = (an improper fraction is fine)
Answer in simplest form
Answer:
7.(110 + 23) × 6 = (an improper fraction is fine)
Answer in simplest form
Answer:
8.16 × (34 + 38) = ?
Answer:
9.54 × (16 + 19) = ?
Answer:
Part B: Choose, or true or false (2 marks each)
10.Working out 23 + 1112 × 14, which step comes first?
- A. 23 + 1112
- B. 1112 × 14
- C. Give all three a common denominator
- D. 23 + 14
Choose the right answer
Answer:
11.Working out 25 + 18 × 59, which step comes first?
- A. 25 + 18
- B. Give all three a common denominator
- C. 25 + 59
- D. 18 × 59
Choose the right answer
Answer:
12.38 + 35 × 23 = 1320
True or false?
Answer:
Part C: Word problems (4 marks each)
13.May's remote-control car goes 23 m a second and Tsz-hin's 12 m a second. They set off from the same spot at the same time in opposite directions. How many metres apart are they after 3 seconds (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
14.A rectangle's area = length × width. A rectangle is 1 12 m long, and its width is 12 m less than its length. What is its area in square metres (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
15.A rope is 12 m long. First 12 of it is cut off, then 23 m more. How many metres are left (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
16.49 litre of juice is poured equally into 5 cups, then 23 litre of water is added to each. How many litres are in each cup?
Answer in simplest form
Working:
Answer:
17.Each pack of sugar weighs 25 kg. May buys 6 packs and 23 kg of loose sugar. How many kilograms of sugar is that (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
18.A rope is 24 m long. First 13 of it is cut off, then 14 m more. How many metres are left (an improper fraction is fine)?
Answer in simplest form
Working:
Answer:
Show the answers and working
Fractions: mixed operations worksheet: Answers and working
Part A: Working out and filling in
1. 79
Multiplication comes before addition: start with 13 × 56.
Multiply first: 13 × 56, then add 12: 79.
2. 5390
Division before subtraction: work out 16 ÷ 59 first, as × the reciprocal.
Divide first: 16 ÷ 59 = 310; then 89 − 310 = 5390.
3. 112
Division before subtraction: work out 112 ÷ 15 first, as × the reciprocal.
Divide first: 112 ÷ 15 = 512; then 12 − 512 = 112.
4. 185
Brackets first: 710 + 12 needs a common denominator.
Brackets first, 710 + 12 = 65, then × 3: 185.
5. 1
Brackets first: put 13 − 16 over a common denominator and subtract, then divide.
Brackets first: 13 − 16 = 16; then 16 ÷ 16 = 1.
6. 163
Brackets first: put 38 − 14 over a common denominator and subtract, then divide.
Brackets first: 38 − 14 = 18; then 23 ÷ 18 = 163.
7. 235
Brackets first: 110 + 23 needs a common denominator.
Brackets first, 110 + 23 = 2330, then × 6: 235.
8. 18
16 divides by both 4 and 8, so share it out: multiply each fraction in the brackets by 16.
Share it out: 16 × 34 + 16 × 38 = 12 + 6 = 18.
9. 15
54 divides by both 6 and 9, so share it out: multiply each fraction in the brackets by 54.
Share it out: 54 × 16 + 54 × 19 = 9 + 6 = 15.
Part B: Choose, or true or false
10. B. 1112 × 14
There are no brackets here, just + and ×. Which kind of step comes first?
× and ÷ before + and −: 1112 × 14 first.
11. D. 18 × 59
There are no brackets here, just + and ×. Which kind of step comes first?
× and ÷ before + and −: 18 × 59 first.
12. False
With no brackets, multiply before adding: work out 35 × 23, then check against 1320.
Multiply 35 × 23 first, then add 38: 3140.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 72 m
Going in opposite directions, how far apart do they move each second? Add the two cars' distances a second first.
Each second they move 23 + 12 m apart; × 3: 72 m.
14. 32 m²
Find the width first, 1 12 − 12, then use length × width.
Width = 1 12 − 12 = 1 m; area = length × width = 32 m².
15. 163 m
First find the first cut: 12 of the length is 12 × 12 m.
12 of the length is 12 × 12 m; 12 − 12 × 12 − 23 = 163 m.
16. 3445 litres
Find the juice in each cup first, 49 ÷ 5, then add the water.
49 ÷ 5 + 23: divide first, then add, 3445 litres.
17. 4615 kg
Find the weight of the 6 packs first, 6 × 25, then add the loose sugar.
6 × 25 + 23: multiply first, then add, 4615 kg.
18. 634 m
First find the first cut: 13 of the length is 24 × 13 m.
13 of the length is 24 × 13 m; 24 − 24 × 13 − 14 = 634 m.
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