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
The figure, not drawn to scale, shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 144 cm2.
  1. Find the length of one side of Square X.
  2. Find the perimeter of the shaded region.
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
Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m
Level 3
The figure is a square that is made up of 3 identical rectangles. The square has an area of 36 cm2. Find the perimeter of the shaded rectangle.
4 m
Level 3
There are 42 boxes of cakes. 3 of these boxes are without ribbons. The ribbon used for each box is 12 cm long.
  1. How many of the boxes are with ribbons?
  2. What is the total length of the ribbons used for the boxes? (Give the answer in meters and centimeters.)
4 m
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
4 m
Level 2
The table shows the distance 4 boys jogged over 2 days. Who jogged the shortest distance over the 2 days? Give your answer in number. (Eg 1)
2 m
Level 3
Figure ABCD is made up of eight identical rectangles. Each rectangle has a length of 18 cm.
  1. Find the perimeter of Figure ABCD.
  2. Find the area of Figure ABCD
4 m
Level 3
The length of a rope is 25 m longer than a string. The length of a wire is 13 m shorter than the rope. The total length of the rope, the wire and the string is 58 m. What is the length of the rope?
4 m