Level 3
Benita's salary is 20% less than Amanda's salary and 40% less than Cecilia's salary. If Amanda's salary is $500 less than that of Cecilia's salary,
  1. Find Benita's salary.
  2. Given that Benita received a 20% pay cut, find Benita's new salary.
4 m
Level 3
Brian wanted to cut small identical 3 cm by 2 cm rectangles from a rectangular cardboard measuring 26 cm by 18 cm. What is the maximum number of complete small rectangles Brian could cut? (Note: Brian could rotate the small rectangle.)
3 m
Level 3
What is the maximum number of rectangles each measuring 3 cm by 2 cm that can be cut from a cardboard measuring 48 cm by 22 cm?
3 m
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
  1. What is the length of AB as shown in Figure 1?
  2. What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
3 m
Level 3
What is the maximum number of squares of side 4 cm that can be cut from a rectangle measuring 81 cm by 74 cm?
3 m
Level 3
Adrian wants to cut some 3-cm squares from a piece of rectangular paper shown. What is the greatest number of squares he can cut out?
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
The figure is made up of a square with a shaded part within it of 2 cm thickness throughout. Given that the figure has a total area of 49 cm2, find the area of the shaded part.
3 m
Level 3
A roll of wire can be bent to form a rectangle with designs within it of 3 cm width throughout (see given figure). The figure has a total area of 375 cm2. The breadth of the rectangle is 35 as long as its length. Find the area of the shaded parts.
3 m
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
  1. What was the area of the paper before it was cut?
  2. What was the area of the paper after the four corners were cut?
4 m
Level 3 PSLE
Ray had a rectangular block of wood 12 cm by 8 cm by 6 cm. He painted all the faces of the block.
  1. What is the total painted area?
  2. Ray then cut the block into 1-cm cubes. How many of these cubes have none of the faces painted?
  3. How many of these cubes have 2 of the faces painted?
5 m
Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.
  1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
  2. Find the total surface area of the L-shaped block after cutting.
5 m
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 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 2
Diane cut a stick into 3 parts. 2 parts of the stick were 169 cm each. The last part was 109 cm long. What was the length of the stick before it was cut?
3 m