Fractions · Ages 8–9
First fractions worksheet
Covers: What a fraction is, Fractions on a number line, Equivalent fractions, Simplifying fractions, Comparing fractions, Adding and subtracting fractions with the same denominator
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First fractions worksheet
Fractions · Ages 8–9
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)
1.10 counters are shared into 5 equal groups, a row each. What fraction of them are the 2 shaded counters?
Answer in simplest form
Answer:
2.2 = 10
Answer:
3.78 = 40
Answer:
4.45 = 10 = 15
Fill in each blank
Answer:
5.26 = ?
Answer in simplest form
Answer:
6.1012 = ?
Answer in simplest form
Answer:
7.Put these fractions in order, smallest first.
- A. 111
- B. 15
- C. 18
- D. 17
Write the letters in the right order
Answer:
8.48 − 38 =
Answer in simplest form
Answer:
9.18 + 8 + 18 = 1
Answer:
Part B: Choose, or true or false (2 marks each)
10.Which picture has 26 shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
11.On which number line does the arrow point to 45?
- A
- B
- C
- D
Choose the right picture
Answer:
12.Which fraction is the greatest?
- A. 612
- B. 1012
- C. 812
- D. 1112
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.A ribbon is cut into 4 equal pieces and 3 are used. What fraction of the ribbon is left?
Answer in simplest form
Working:
Answer:
14.Tsz-ching's family buys 4 pizzas, each cut into 7 equal slices, so a slice is 17 of a pizza. How many slices are 4 pizzas?
Working:
Answer:
15.A rope is cut into 15 equal pieces and Tsz-hin uses 9, which is 915 of the rope, or 3. What number goes in ?
Working:
Answer:
16.A chocolate bar has 10 small squares, and Tsz-hin gives 5 of them to his little brother. What fraction of the bar is that?
Answer in simplest form
Working:
Answer:
17.Ka-yan eats 311 of a cake, and Ka-lok eats 611 of another cake the same size. What fraction of a cake does the one who ate more eat?
Answer in simplest form
Working:
Answer:
18.Ming's mum uses 610 of a piece of cloth for a skirt and 310 for a bag. What fraction of the cloth is left?
Answer in simplest form
Working:
Answer:
Show the answers and working
First fractions worksheet: Answers and working
Part A: Working out and filling in
1. 15
Each row is one group. How many counters are in a group? How many rows do the 2 shaded counters fill?
Each group has 2, so 2 is 1 groups: 15.
2. 20
1 = 1010. How many 1s make 2? Swap each 1 for 1010.
1 = 1010, and 2 is 2 ones, so 2 lots of 1010: 2010.
3. 35
The denominator goes from 8 to 40: what was it multiplied by? Multiply the numerator by the same.
The denominator 8 is multiplied by 5 to make 40, so multiply the numerator too: 7 × 5 = 35.
4. 8, 12
The denominator goes from 5 to 10: multiplied by what? Do the same to the numerator. The other box works the same way.
Denominator × 2, so numerator × 2: 8; denominator × 3, so numerator × 3: 12.
5. 26 = 13
26: the H.C.F. of 2 and 6 is 2, 2 ÷ 2 = 1, 6 ÷ 2 = 3 → 13
6. 1012 = 56
1012: the H.C.F. of 10 and 12 is 2, 10 ÷ 2 = 5, 12 ÷ 2 = 6 → 56
7. A → C → D → B
All the numerators are 1: the bigger the denominator, the smaller each part and the smaller the fraction.
All have numerator 1, so bigger denominators are smaller: 111 < 18 < 17 < 15.
8. 18
Same denominator: keep the denominator and just subtract the numerators.
Keep the denominator and subtract the numerators: 4 − 3 = 1, so 18.
9. 6
1 is 88, so the three numerators must add up to 8.
1 = 88, so the numerators make 8: 8 − 1 − 1 = 6.
Part B: Choose, or true or false
10. D
Count in each picture: how many equal parts, and how many shaded? You want 6 parts with 2 shaded.
26: 6 equal parts, 2 shaded.
11. C
Check each line: is 0 to 1 cut into 5 spaces? Counting right from 0, is the arrow 4 spaces along?
0 to 1 must be cut into 5 equal spaces, with the arrow 4 spaces from 0.
12. D. 1112
All the denominators are 12, so the parts are the same size: just compare the numerators.
All have denominator 12: the biggest numerator wins.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 14
Work out how many pieces are left: 3 of the 4 are used. The whole ribbon is 4 equal pieces.
4 − 3 = 1 pieces are left: 14.
14. 28 slices
Each pizza has 7 slices, so 4 pizzas are 4 lots of 7 slices.
1 pizza is 77, so 4 pizzas are 287: 28 slices.
15. 5
The numerator of 915 goes from 9 to 3: divided by what? Divide the denominator by the same.
Divide the numerator and denominator by 3: 915 = 35.
16. A chocolate bar has 10 small squares, and Tsz-hin gives 5 of them to his little brother. What fraction of the bar is that? (Answer: 12)
510 is given away; divide the numerator and the denominator by 5: 510 = 12
17. 611
The cakes are the same size and the denominators match, so compare the numerators, 3 and 6.
Same denominator: the bigger numerator is more.
18. 110
The whole cloth is 1, which is 1010. Subtract the parts used for the skirt and the bag.
1010 − 610 − 310 = 110.
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