Grade: 6 Reinforcement Sheet Subject: Mathematics
Fractions
Question paper Pattern:
Section A: ASSET questions (1 × 5 = 5) and Multiple-choice questions (1 × 5 = 5)
Section B: Short Answer Questions (2 × 10 = 20)
Section C: Long answer Questions(3 × 6 = 18)
Section D: Long answer Questions including case study question(4 × 8 = 32)
1. Convert the following fractions into mixed fractions.
745
i.
8
98
ii. 7
109
iii.
4
43
iv.
6
2. Convert the following mixed fractions into improper fractions.
2
i. 99
3
ii. 52
2
iii. 8
5
2
iv. 99
3. Give three equivalent fractions for the following fractions.
1
i. 4
2
ii. 9
5
iii.
7
5
iv. 4
4. Add the following fractions.
6 4
i. 15
+ 17
3 1
ii. 7
+8
5. Subtract the following fractions.
3 7
i. 13
− 17
3 5
ii. 16
− 18
6. Multiply the following fractions.
4 3
i. 9
×8
8 3
ii. 15
× 16
7. Divide the following fractions.
16 4
i. ÷
9 12
36 6
ii. 5
÷ 15
8. Jake baked 24 cookies and ate 8 of them. What fraction of the cookies did he eat?
9. Maya read 40 pages of a book that had a total of 200 pages. What fraction of the book did she
read?
10. Liam planted 5 flowers in a garden with space for a total of 25 flowers. What fraction of the
garden did he plant?
2 3
11. John has a piece of string that is 6 meters long. If he cuts 2 meters of the string, how much is
5 5
left?
1
12. A roll of fabric is 14 meters in length. If 5 2 meters of the fabric is used, what is the remaining
length?
1
13. A board is 8 meters long, and 2 3 meters are cut off. What is the remaining length of the board?
5
14. A construction worker completed of a wall in a day. If the entire wall is 32 feet high, how many
8
feet of the wall did the worker complete?
2
15. A water tank is filled with 3 of its capacity. If the tank can hold 500 liters, how many liters of
water are in the tank?
