Level 3
Emma and Peter had a total of $47. After Emma spent 37 of her money and Peter spent $2, the ratio of Emma's money to Kenneth's money became 1 : 2. How much money had Peter at first?
Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
Level 3
Adam has stickers in 4 colours. 57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
Level 3
Linda and Melody's total mass is 51 kg. Melody and Nicole's total mass is 81 kg. Nicole is three times as heavy as Linda. What is the average mass of the three friends?
Level 3
There were some cars, vans and buses. 23 of the total vehicles were cars and vans. There were 16 buses and thrice as many cars as vans. How many more cars than vans were there?
Level 3
During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:
Yellow 3 points
Pink 6 points
Blue 7 points
In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?
Level 3 25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?
Level 3
There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits were there in Container A?
Level 3
Minzy bought some pouches and bags for her friends. The price of each pouch was $2.40 while the price of each bag was $10.80. For every 4 bags bought, she was given one such pouch for free. After receiving the free pouches, the number of pouches was 13 of the number of bags bought. If Minzy paid a total of $1584, how much more did she pay for the bags than the pouches?
Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.
Level 3
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?
Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Level 3
At a fun fair, there were 3 times as many males as females. 59 of the males were boys and the rest were men. 23 of the females were women and the rest were girls. Given that there were 104 more boys than girls, how many children were there altogether?
