Level 3
Two rectangular mats, each 4 m by 6 m are placed on the floor as shown. The mats overlap and the area of the floor covered by the overlap is 8.4 m2. Find the length of AB.
3 m
Level 3
The area of a rectangular sheet of paper ABCD is 108 cm2. It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.
  1. Find the length of CD.
  2. Find the perimeter of the unshaded part AEBCD.
3 m
Level 3
A construction worker welded 3 pipes of length 2 m 10 cm each together. This new pipe was only 35 of the length he needed. How long was the pipe he needed?
4 m
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 2
Mrs Lee intended to cut a piece of ribbon measuring 2 m 40 cm into equal parts. How many cuts must she make in order to have smaller parts of 20 cm each?
2 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 2
A ribbon is 3 m long. 15 cm of the ribbon was needed to tie a present. How much ribbon was left if Hannah used it to tie 5 similar presents?
2 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 2
A pipe is 6 cm longer than a rod. Their total length is 1 m 40 cm. How long is the pipe?
2 m