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
Henry, Rael and Anna share a sum of money. Henry's share is half of what Rael and Anna receive. Rael's share is 39 of the sum of money. Anna receives $20 less than Henry.
  1. What fraction of the sum of money is Henry's share?
  2. How much is the sum of money?
4 m
Level 3
The total cost of the TV, the radio and the heater is $2700. The heater costs twice as much as the radio. The TV costs twice as much as the total price of the heater and radio. How much more does the TV cost than the heater?
4 m
Level 2
There are 9 times as many adults as children in a cinema. There are 105 children and 438 men. How many women are there in the cinema?
4 m
Level 3
There are twice as many children as adults in a concert. There are 236 more boys than girls. If there are 762 people in the concert,
  1. how many children are there?
  2. how many girls are there?
  3. how many boys are there?
4 m
Level 3
Tiffany, Liam and Andy have a total of 189 erasers. Tiffany and Andy have a total of 110 erasers while Liam and Andy have a total of 137 erasers. How many more erasers does Andy have than Tiffany?
4 m
Level 3
Violet has 6 times as many tarts as Anna. The total number of Violet's and Anna's tarts is 8 times of Wendy's. Violet and Anna have 294 tarts more than Wendy's. How many more tarts does Violet have than Anna?
3 m