Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is 34 the area of Rectangle B. Given that 14 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
5 m
Level 3
The table shows the prices of tickets for a concert performance for an adult ticket and a child ticket. 14 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $230 more than the total amount collected from the sale of adult tickets.
  1. How many child tickets were sold?
  2. How much money was collected from the sale of all the tickets?
5 m
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
Melanie, Oprah and Andy shared $4590 among themselves. Oprah and Andy shared 49 of the money equally. After Oprah gave away some of her money to Melanie, Andy had 3 times as much money as Oprah. How much money did Oprah give to Melanie?
5 m