Fraction – Skill required
· Addition and subtraction of like and unlike fractions
· Recognising mixed numbers and improper fractions and able to convert improper fractions to mixed numbers and vice versa.
· Understanding fractions of a set ( Multiplying whole numbers by fractions.
· Solving word problems involving fractions involving adding, subtracting and multiplying.
Problem Solving
1. A florist had some roses in her shop. 1/6 of the roses were sold in the morning and 1/3 of them sold in the afternoon. If 66 roses were left, how many roses were in the shop at first?
2. Kumar has 7/11 as many stamps as Ali. If Ali gives Kumar 18 stamps, both of them will have an equal number of stamps. How many stamps do they have altogether?
3. Mr Lim had 16 guppies. He gave 3/8 of them to his daughter.
a. What fraction of the fish had he left?
b. How many guppies had he left?
4. Mandy had 3/7 of the number of beads that Jenny had at first. When Mandy received 22 beads from Jenny, both of them would have an equal number of beads.
a. How many more beads did Jenny have than Mandy at first?
b. How many beads did they have altogether?
5. James had a certain number of bookmarks. He gave ¾ of the bookmarks to his brother. James and Benny then shared the remaining number of bookmarks equally. Given that James had 46 bookmarks at the end, how many bookmarks did he have at first?
6. Jon bought 3 identical shirts and 4 identical belts for $130. If each belt cost 1/3 as much as a shirt, find the cost of a shirt.
7. Mary has 1/9 as many paper clips as John. John has 144 paper clips more than Mary. How many paper clips must John give Mary so that they will have the same number of paper clips?
8. 3/8 of the pupils in a class like English. 3/5 of the remaining pupils like Maths and the rest like Science. If 9 pupils like Science, how many pupils are there in the class?
9. There are 240 flowers in a garden. 1/5 of the flowers are daisies and 3/8 of the flowers are tulips. The rest are sunflowers. If 1/3 of the daisies and 5/6 of the tulips are removed, how many flowers will be left in the garden?
10. 2/5 of the colored paper in the packet are yellow. 0.5 of them are purple. The remaining ones are green. If there are 60 fewer green colored paper than the purple ones, how many colored paper does the packet contain altogether?
11. A baker sold 2/3 of his breads in the morning. He sold 1/6 of them in the afternoon. He sold 200 breads altogether. How many breads had he left?
12. Stick A is 9cm longer than Stick B. 2/3 the length of Stick B is equal to half the length of Stick A. What is the length of Stick B
13. A tank is 1/3 full. After 6 litres of water was added into the tank, it was 7/12 full. Find the capacity of the tank.
14. A tank was 1/10 full of water. After 35 litres of water were added into the tank, it became 3/5 full. How much water was needed to fill up the 2 full tank?
15. Betty had $320 at first. She spent 5/8 of her money at the bookshop and ¼ of it at the supermarket.
a. What fraction of her money was spent?
b. How much had she left?
16. Susie collected 378 beads. 5/9 of them are green and the rest are red and yellow beads. The number of the red beads is thrice as many as the yellow beads.
a. How many more green beads than yellow beads are there?
b. How many red beads should Susie buy so that the number of red beads would be the same as the green beads?
17. Angie, Betty and Cally had $655 altogether. Angie spent 1/3 of her money. Betty spent $25 and Cally spent twice the amount Angie spent. If they had the same amount of money left, how much money did Cally have at first?
18. Some students were given funfair tickets to sell. ½ of them sold their tickets on Monday. 2/5 of the remaining students sold their tickets on Tuesday. The rest of the students sold their tickets on Wednesday. Given that 108 students sold their tickets on Wednesday and each student sold two tickets, how many tickets were sold altogether?
19. Ben has 2/3 as many stickers as Andy. Kyle has 1/6 as many stickers as Ben. If they have 96 stickers in all, how many more stickers does Ben have than Kyle?
20. Ben has $175 more than Calvin. If Calvin has 2/5 as much money as Ben, how much do they have altogether?
