Numbers and operations · Ages 12–13
Fractions and decimals mixed worksheet
Part of: Working with numbers
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Fractions and decimals mixed worksheet
Numbers and operations · Ages 12–13
Numsprite
numsprite.com
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)
1.6 × (4.2 − 2.2) =
Answer:
2.Write 0.05 as a fraction in its simplest form: 0.05 =
Fill in each blank
Answer:
3.23 + 23 × 3 = (as a fraction in its simplest form)
Answer in simplest form
Answer:
4.Write 0.95 as a fraction in its simplest form: 0.95 =
Fill in each blank
Answer:
5.23 + 14 × 3 = (as a fraction in its simplest form)
Answer in simplest form
Answer:
6.0.25 × 23 + 2 = (as a fraction in its simplest form)
Answer in simplest form
Answer:
7.0.8 × 29 + 2 = (as a fraction in its simplest form)
Answer in simplest form
Answer:
8.(9 − 14) × 1.5 = (as a decimal)
Answer:
Part B: Choose, or true or false (2 marks each)
9.13 + 15 ÷ 2 = ?
- A. 1330
- B. 415
- C. 1115
- D. 1130
Choose the right answer
Answer:
10.34 + 12 ÷ 5 = ?
- A. 1720
- B. 1320
- C. 14
- D. 134
Choose the right answer
Answer:
11.14 ÷ 78 = 14 × 87
True or false?
Answer:
12.47 ÷ 57 = 47 × 75
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A tank is 15 full. After 243 L more is poured in, it is 78 full. How many litres does the tank hold?
Working:
Answer:
14.A rope is 18 m long. 1.5 m is cut off, and the rest is cut into 8 equal pieces. How long is each piece?
Working:
Answer:
15.Chi-keung has a roll of ribbon 17.5 m long, and each bow takes 1.5 m. At most how many bows can he make?
Working:
Answer:
16.A drum holds 112 L of oil. On day one 14 of it is used, and on day two 13 of what is left. How many litres are left?
Working:
Answer:
17.A drum holds 48 L of oil. On day one 13 of it is used, and on day two 12 of what is left. After day one L remain, day two uses L, and L are left at the end.
Fill in each blank
Working:
Answer:
18.Tsz-ching pays $200 for 5 packets of biscuits at $19 each. How much change is due?
Working:
Answer:
Show the answers and working
Fractions and decimals mixed worksheet: Answers and working
Part A: Working out and filling in
1. 12
Brackets first, 4.2 − 2.2 = 2; then times 6: 12.
2. 1, 20
0.05 = 120: write the decimal over 10, 100 or 1000, then simplify.
3. 83
Multiply first: 23 × 3 = 21; then add 23: 83.
4. 19, 20
0.95 = 1920: write the decimal over 10, 100 or 1000, then simplify.
5. 1712
Multiply first: 14 × 3 = 34; then add 23: 1712.
6. 136
0.25 = 14; 14 × 23 = 16; add 2: 136.
7. 9845
0.8 = 45; 45 × 29 = 845; add 2: 9845.
8. 13.125
14 = 0.25. Brackets first, 9 − 0.25 = 8.75; then times 1.5: 13.125.
Part B: Choose, or true or false
9. A. 1330
Divide before adding: 15 ÷ 2 = 15 × 12; then add 13: 1330.
10. A. 1720
Divide before adding: 12 ÷ 5 = 12 × 15; then add 34: 1720.
11. True
Dividing by a fraction is multiplying by its reciprocal: 14 ÷ 78 = 14 × 87.
12. True
Dividing by a fraction is multiplying by its reciprocal: 47 ÷ 57 = 47 × 75.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 360 L
The 243 L is 78 − 15 of the tank, so it holds 243 ÷ (78 − 15) = 360 L.
14. 2.0625 m
(18 − 1.5) ÷ 8 = 16.5 ÷ 8 = 2.0625 m.
15. 11 bows
17.5 ÷ 1.5 isn't whole, so only its whole part counts: 11 bows use 16.5 m, and what is left isn't enough for another.
16. 56 L
After day one, 112 × (1 − 14) = 84 L remain; after day two, 84 × (1 − 13) = 56 L. Day two's 13 is of what was left.
17. 32, 16, 16
48 − 48 × 13 = 32; 32 × 12 = 16; 32 − 16 = 16.
18. 105 dollars
5 × 19 = 95; 200 − 95 = 105.
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