Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.
  1. What fraction of the figure is shaded?
  2. What is the area of the unshaded parts?
4 m
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
4 m
Level 3
Vanessa ordered a plate of noodles and shared it with Lee. She ate 310 of it. Lee ate twice as much noodles as she did. What fraction of the platter of noodles was left?
4 m
Level 3
Hannah bought 2014 m of cloth. She used 34 m to make a cushion cover. She used 13 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
4 m
Level 3
Aaron spent 14 of his money on a book. He spent 34 of the remaining money on a DVD.
  1. What fraction of his money was left?
  2. If he had left $12, how much money did Aaron have at first?
4 m
Level 3
Tom spent 27 of his salary on a television and 310 of his remaining money on a DVD player. If he was left with $630 himself, how much was his salary?
4 m
Level 3
Tricia used 25 of the ribbon to tie some presents. She threw away 47 of the remaining ribbon. As a result, she had 54 centimetres of ribbon left. How much ribbon did Tricia have at first? Give your answer in centimetres.
4 m
Level 3
During a family day event, Vivian participated in a cross country event. She ran 38 of the distance. She walked 14 of the remaining distance. As a result, she was still 360 m away from the end point. What was the distance of the cross country race? Give your answer in meters.
4 m
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Level 3
A rectangular tank measuring 25 cm by 20 cm by 16 cm is half filled with water. If 3 identical cubes each measuring 10 cm by 10 cm by 10 cm are placed inside the water, find the new height of the water level.
5 m