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
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
  1. What was the length of each side of the metal cube?
  2. After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
5 m
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
4 m
Level 3
In the figure, triangle DEF was drawn within 3 identical squares of side 9 cm. BC was 8 cm.
  1. Find the area of the shaded figure.
  2. The shaded figure was used as a design and printed on a piece of cloth. After printing, the total shaded area of the piece of cloth was 13005 cm2. What was the length of piece of cloth? (Give your answer in metres.)
4 m
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
4 m
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
4 m