Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
2 m
Level 3
Farmer Nick has 4 rabbits. The mass of Rabbit G is the same as the average mass of the 4 rabbits. Rabbit H weighs 5 kg less than the average mass of the 4 rabbits. The mass of Rabbit I is 7 kg more than the average mass of the 4 rabbits. The mass of Rabbit J is 34 kg. Find the total mass of the 4 rabbits.
3 m
Level 3
During a survey, some people responded that they preferred badminton to other sports. The ratio of the number of women to the number of men who liked badminton was 3 : 1. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. If 20% of the people who did not like badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?
4 m
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?
3 m