P6 Problem Sums – Nov ‘09

Remainder Concept – Model Drawing

1. Mrs Jacob spent 1/6 of her salary on a washing machine and 2/3 of the remainder on a television set. If she saved the remaining $750, how much was her salary?

2. Mrs Lim baked a certain number of egg tarts. She gave 1/8 of the tarts to her neighbour and ¼ of the remainder to her cousin. She was left with 42 tarts. How many tarts did she bake at first?

3. Benedict spent 2/9 of his pocket money on books, 2/5 of the remainder on magazines and saved the rest.
(a) What fraction of his money did Benedict save?
(b) If he spent $16 more on the magazines than on the books, how much did he have at first?

4. At a book fair, 2/5 of the customers were men. There were thrice as many women as children. If there were 95 more men than children, how many customers were there at the book fair?

5. James had a certain number of coloured balls in his ball pit. ¼ of the balls were red, 2/3 of the remaining balls were blue and the rest were green. Given that there were 120 red and green balls altogether, many balls were there in the ball pit?

6. At a funfair, there were twice as many males as females. ¾ of the males were boys and the rest were men, ½ of the females were women and the rest were girls. Given that there were 120 more boys than girls, how many adults were at the funfair altogether?

7. ½ of the pupils in a school were girls and the rest were boys. 2/5 of the girls and 2/3 of the boys took part in a school charity event. Find the total number of pupils in the school if 280 pupils did not take part in the event.

8. During an entrepreneur competition, a team of pupils spent 3/7 of their capital on raw materials, ½ of the remaining on publicity and $80 on stall setup. If they were left with $40, find the amount of their capital at first.

9. Mr Edward spent $1200 of his salary on a sound system. He gave 2/3 of the remainder to his wife and saved the rest. If he saved ¼ of his salary, how much was his salary?

10.In a class, 16 of the pupils are boys. Then ¾ of the girls left the classroom. If 1/6 of the original number of pupils is now girls, find the number of pupils in the class at first.

11.In a class, 12 girls are in the band and ¾ of the remaining pupils are in the Modern Dance Club. If 1/5 of the class is in neither the band nor the club, how many pupils are there in the class?

12.Mrs Ng went shopping and spent $120 on a wallet. She then used 2/3 of the remaining amount of money to buy a dress. She was left with 1/5 of her original amount of money. How much did she have at first?

13.Rita bought a certain number of chocolates for her pupils. She gave 84 chocolates to Class 6A and 2/5 of the remainder to Class 6B. If she was left with ¼ of the original number of chocolates, how many chocolates did she have at first?

14.Mr Tho spent $1220 of his savings on a television set and 2/5 of the remainder on a hi-fi set. He had 1/3 of his original amount of savings left.
(a) Find Mr Tho’s original amount of savings.
(b) Find the cost of the hi-fi set.

15. At a funfair, there were 250 men. 3/7 of the rest of the people were women. Given that ½ of the people at the funfair were children, how many women were there?

16.Mr Krishnan has a sum of money. He gave $1400 to his wife and spent $400 on a washing machine. He then gave 2/5 of the remainder to his 3 children. Given that each child received 1/12 of Mr Krishnan’s original sum of money, how much did each child receive?