Level 2
A fish tank can hold 12 ℓ of water. 56 of the bowl is filled with water. How much water is needed to fill the tank completely?
3 m
Level 3
In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is 54 of ∠DCQ . Find ∠ADC.
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
The number of marbles 5 boys have is shown in the table. Given that Daniel has 13 the number of marbles Benjamin has, how many marbles does Daniel have?
3 m
Level 3
There is a total of 28 ℓ of water and oil in the container. What is the volume of oil in the container?
4 m
Level 3
Paul had some apple macarons and apricot macarons. He gave away 160 macarons to his brother. 25% of them were apple macarons and the rest were apricot macarons. Paul gave some apple macarons to his sister. 25 of all the macarons he gave away to his brother and his sister were apple macarons.
  1. How many apricot macarons did he give his brother?
  2. How many apple macarons did he give his sister?
4 m
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Level 2
In the figure, MN, PQ and RO are straight lines. ∠POR = 39°. Given that ∠RON is half as big as ∠NOQ, find ∠MOQ.
3 m
Level 2
Liping had just enough money to buy 90 notebooks of the same price. She bought only 30 notebooks for her students and had $120 left. What was the cost of one notebook?
3 m
Level 3
Which 2 fractions give a sum of 1 and a difference of 13?
(a) Smaller fraction
(b) Larger fraction
4 m
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
  1. the volume of the pail.
  2. the minimum number of such pails to fill the tank.
4 m
Level 3
Wilfred saves 10% of his allowance. When his allowance was increased by 20%, his savings rose proportionately to $180. What was his original allowance?
4 m
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Level 3
Wilfred saves 10% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $80. What was his original allowance?
4 m
Level 2
Joey and Erika shared a sum of $130. Given that Joey received $12 more than Erika, how much did Joey receive?
2 m
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
  1. How many small cubes does David have?
  2. The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
4 m
Level 2
Cody's gym class usually lasts 1 h 40 min. However, last Saturday, Cody's class lasted 29 min longer than usual. The class started 20 min late. As such, Cody's class ended at 7.52 p.m. instead of the usual time. What time does Cody's gym class usually start? (Leave your answer in 24-hour clock format.)
4 m
Level 3
The figure is made up of 2 squares. The length of the smaller square is half the length of the bigger square. Given that the perimeter of the whole figure is 60 cm, find the length of the bigger square.
3 m
Level 2
Sarah read 4 books in 3 h 18 min. She took the same amount of time to read each of the first 3 books. She took 54 min longer to read the fourth book than each of the first 3 books. She finished reading all the books at 19 28. What time did she start reading the fourth book?
4 m
Level 3
Jane gave 10% of her collection of pens to Colleen thereby increasing Colleen's collection by 25%. If Jane had 45 pens left, how many pens did Collen have at first?
4 m