Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m2 . The area of the rectangular turtle pond is 34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
  1. What is the breadth of the turtle pond?
  2. What is length of the grass patch?
3 m
Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?
4 m
Level 2
A blouse costs $4.50 more than a shirt. A skirt costs $15.20 more than the blouse. Jelly bought 5 of each item. She paid $376 for them. How much did she pay for the skirts she bought?
3 m
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?
4 m
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
  1. Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
  2. Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
4 m
Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
3 m
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
4 m
Level 2
The figures show 3 different fruits, a pineapple, a bunch of bananas and 2 similar mangoes. The mass of a mango is 23 of the mass of the bunch of bananas.
  1. Find the mass of the bunch of bananas.
  2. Find the mass of the pineapple.
4 m
Level 3
Hannah went shopping with 4 times the amount that Kelly brought. The ratio of the amount of money Kelly spent to the amount of money Hannah spent was 2 : 3. In the end, Kelly and Hannah had $12 and $108 respectively. How much did Kelly spend?
4 m
Level 2
Ben, Jen and Tanya have a total of $134.50. Jen has $8 more than Ben. Tanya has thrice as much money as Jen. How much money does Tanya have?
3 m
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?
3 m
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?
3 m
Level 2
In the figure, XYZ is a straight line. Given that ∠s is thrice as big as ∠t, what is the value of ∠s?
3 m
Level 3
Jill spent 910 of her money on 20 muffins and 5 croissants. If each muffin costs twice as much as a croissant, how many croissants could Jill buy with the rest of her money?
3 m
Level 3
The number of banana puffs Caden baked was 47 of the total number of puffs. After baking another 98 banana puffs, the number of banana puffs became 67 of the total number of puffs. How many puffs did she bake at first?
3 m
Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent 14 of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.
  1. What was the cost of 1 sandwich?
  2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?
5 m
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?
5 m
Level 3
A pen cost $1.50. A notebook cost $15.50 more than the pen. Clare spent $340 on such pens and notebooks. She bought twice as many pens as notebooks.
  1. How many notebooks did Clare buy?
  2. How much money did Clare spend on the pens?
4 m
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?
4 m