Level 3
At a race, 37 of the number of boys is equal to 25 of the number of girls. The number of adults at the race is thrice the number of children. The number of coupons given to each adult, boy and girl at the race is 4, 3 and 2 respectively. The total number of coupons given at the race is 7980.
  1. What is the total number of coupons given to the adults?
  2. What is the number of girls at the race?
5 m
Level 3
Contestants in a quiz were awarded certificates based on their scores. A total of 312 points were awarded. 18 of the contestants received the Certificate of Distinction. 45 of the remaining contestants received the Merit Certificate and the rest received the Participation Certificate. How many contestants received the Certificate of Distinction?
5 m
Level 3
Sandy, Tina and Vivian baked some tarts. Sandy and Tina baked 34 of the tarts. Tina and Vivian baked 35 of the tarts. Sandy and Vivian baked 520 tarts altogether.
  1. What fraction of the tarts did Sandy and Vivian bake altogether?
  2. How many tarts did the three girls bake in total?
5 m
Level 3
An equal number of sweets were distributed to 9 girls and 11 boys. Each girl then gave 23 of her share of sweets to the boys. As a result, each boy received 72 more sweets.
  1. How many sweets did each girl have left?
  2. Find the total number of sweets each boy had after receiving more sweets from the girls.
5 m
Level 3
Pauline bought 200 blue and red balloons for a party. The number of red balloons was 35 times as many as the number of blue balloons. Pauline used 13 times as many red balloons as blue balloons and was left with twice as many red balloons as blue balloons. How many balloons did Pauline have in the end?
5 m
Level 3
Miki, Natalie and Ollie each had some beads and decided to play a game with their beads. In round 1, Miki lost 12 of her beads to Natalie. In round 2, Natalie lost 12 of her total number of beads to Ollie. In round 3, Ollie lost 12 of her total number of beads to Miki. In the end, Miki, Natalie and Ollie had 124, 88 and 68 beads respectively. How many beads did Natalie have at first?
5 m
Mrs Tay had an equal number of pears and apples at first. She sold half of the apples and bought another 42 pears. In the end, she had thrice as many pears as apples. Find the number of apples she had at first.
4 m
Level 3
Betty and Caili had an equal number of beads at first. Betty used 12 of her beads and Caili used 16 of her beads. They used 16 beads altogether. How many beads did Caili have in the end?
4 m
Level 3
Henry and Imran had the same number of playing cards. Henry gave away 45 of his playing cards while Imran gave away 57 of his playing cards. Given that Henry gave away 12 playing cards more than Imran, how many playing cards did Henry have at first?
4 m
Level 3
There were 258 pears and apples in a fruit stall. 25 of the pears and 37 of apples were sold. Given that there were 151 pears and apples left, how many pears were there in the fruit stall at first?
4 m