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