Name: Remainder Fractions 1. Mum bought a box of mooncakes for the Mid-Autumn Festival. 3 8 of the mooncakes were durian-flavored. 1 3 of the remaining mooncakes were yam-flavored while the rest were pandan-flavored. There were 30 yam and pandan-flavored mooncakes. How many mooncakes in the box were durian-flavored? 2. Mary went to a party last Sunday and she ate a lot of food. 3 of the food she ate were 4 sweets. 2 3 of the remaining food she ate were cakes and the rest were chocolates. She ate 22 sweets and cakes in total. How many chocolates did Mary eat? 1 P a g e
3. Sam went fishing and caught many fishes of different colors. 1 6 of the fishes were gold. 2 3 of the remaining fishes were green while the rest were red. There were 45 green and red fish. How many more red fish than gold fish were there? 4. Mum and Dad went to Courts Megastore to buy 42 pieces of furniture on Sunday. 1 of the 7 items bought were lamps while 3 7 of the items bought were chairs. 1 2 of the remaining furniture bought were tables and the rest were carpets. How many tables and chairs in total did Mum and Dad buy? 2 P a g e
5. A town had some white houses, red houses and yellow houses. 1 3 of the houses were white, 1 4 of the remaining houses were red and the rest was yellow. If there were 36 more yellow houses than red houses, how many houses were there altogether? 6. Judy bought some fruits. 2 3 of the fruits she bought were apples, of the remaining were 7 10 oranges and the rest were pears. After she gave away 25 apples, she had 3 times as many pears as apples. How many fruits did she buy at first? 3 P a g e
7. Every month, Jeremy spent 1 10 of the salary on transport and 1 5 of it on food. He gave 1 2 of the remaining to his parents and saved the rest. If he saved $280, how much was his salary? Ans : $ 8. Regina saved some 20-cent coins, 50-cent coins and 1-dollar coins in a piggy bank. 3 11 of the coins were 20-cent coins, 1 4 of the remaining coins were 50-cent coins and the rest were 1-dollar coin. If all the 50-cent coins added up to be $9. How much did she save altogether? Ans : $ 4 P a g e
9. Mrs Lim had a bag of flour. She used 4 7 of it to make 4 breads and 1 6 of the remainder to make 5 muffins. If each bread requires 90g more flour than each muffin, how much flour did she have at first? 10. 264 sweets were shared among a class of students. 5 9 of them received 4 sweets each. 1 3 of the remaining students received 3 sweets each and the rest received 2 sweets each. How many students were there at first? 5 P a g e
Fractions - Remainder Solutions Question 1. Durian Yam 30 Pandan Fraction of Yam = 1 3 5 8 = 5 24 Number of units of Yam and Pandan = 15 units = 30 1 unit = 30 15 = 2 Number of Durian-flavored mooncake = 9 units = 9 2 = 18 (Ans) Question 2. Sweets Fraction of cakes = 2 3 1 4 = 2 12 Number of units of Sweets and cakes = 11 units = 22 Number of chocolates = 1 unit = 2 (Ans) 22 1 unit = 22 11 = 2 Cake Chocolate 6 P a g e
Question 3. Gold Fraction of green fish = 2 3 5 6 = 10 18 Green Number of units of Green and Red = 15 units = 45 45 Red 1 unit = 45 15 = 3 Number of red fish more than gold fish = 5 units 3 units = 2 units = 2 3 = 6 (Ans) Question 4. Lamp Chair Fraction of tables = 1 2 3 7 = 3 14 Number of units of furniture = 14 units = 42 1 unit = 42 14 = 3 Number of tables and chairs = 9 units = 27 (Ans) 42 Tables Carpet 7 P a g e
Question 5. White Red Yellow Fraction of red houses = 1 4 2 3 = 1 6 Number of units of yellow more than red = 3-1 units = 2 units = 36 1 unit = 36 2 = 18 Number of houses altogether = 6 units = 108 (Ans) Question 6. Apple Orange Pears Apple Pears At First 4 3 7 3 After 1 7 3 7 At First 12 21 After 7 21 Fraction of oranges = 3 10 5 7 = 3 14 Decrease in units of apple = 5 units = 25 1 unit = 25 5 = 5 Number of fruits at first = 42 units = 210 (Ans) 8 P a g e
Question 7. Transport Food Parents Save Fraction of money given to parents = 1 2 7 10 = 7 20 Fractions of money saved = 1 6 20 7 20 = 7 20 Number of units saved = 7 units = $280 1 unit = 280 7 = $40 Amount of salary = 20 units = $800 (Ans) Question 8. 20-cent 50-cent 1-dollar Fraction of 50-cent coin = 1 4 8 11 = 2 11 Number of 50-cent coins = $9 $0.50 = 18 Number of units of 50-cent coins = 2 units = 18 Number of 20-cent coins = 3 units 9 = 27 Number of 1-dollar coins = 6 units 9 = 54 1 unit = 18 2 = 9 Total amount she saved = 27 $0.20 + $9 + 54 $1.00 = $5.40 + $9 + $54 = $68.40 (Ans) 9 P a g e
Question 9. 4 breads Fraction of flour for 5 muffins = 1 6 3 7 = 1 14 Number of units for 5 breads = 10 units 5 muffins Number of units for extra flour needed for 5 breads = 10 units 1 unit = 9 units = 90g 5 = 450g 1 unit = 450g 7 = 50g Amount of flour at first = 14 units = 700g (Ans) Question 10. 4 sweets Fraction of students with 3 sweets = 1 3 4 9 = 4 27 Number of units for 264 sweets 3 sweets 2 sweets = 15 units 4 + 4 units 3 + 8 units 2 = 60 units + 12 units + 16 units = 88 units 1 unit = 264 88 = 3 Number of students = 27 units = 81 (Ans) 10 P a g e