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
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
  1. Find the length of the rectangular piece of wood.
  2. Find the shaded area in Figure 2.
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
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.
3 m
Level 3
Find the area of the following figure.
3 m
Level 3
A T-shaped block consists of 4 squares of 1 cm2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
  1. Find the perimeter of the pattern that consists of 20 blocks.
  2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
5 m
Level 3
The figure shows a square ABCD. ∠BAE = 27°.
  1. Name the line of symmetry for the square ABCD.
  2. Find ∠AEC.
4 m
Level 3
Find the area of the following figure.
3 m
Level 3
The shaded figure is made up of 3 identical squares of side 10 cm and a triangle with a height of 36 cm. What is the area of the figure?
3 m
Level 3
The figure shows a square PQRS. ∠QST is 21° larger than ∠RST.
  1. Name the line of symmetry for the square PQRS.
  2. Find ∠QST.
  3. Find ∠QTS.
4 m
Level 3
Find the area of the following figure.
3 m
Level 3
The figure shows a square JKLM. ∠LJN is twice as large as angle MJN.
  1. Name the line of symmetry tor the square JKLM.
  2. Find ∠LJN.
  3. Find ∠JNM.
4 m
Level 3
Find the area of the following figure.
3 m
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
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
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
5 m
Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
  1. Name the line that is parallel with SQ.
  2. Find ∠RST.
  3. Find ∠QTS.
4 m
Level 3 PSLE
Yasmin uses stars and circles to form figures that follow a pattern as shown.
  1. The table shows the number of stars and circles for the first four figures. Complete the table for Figure 5. List the answers in the following order using commas. (Eg i, ii, iii)
  2. A figure in the pattern has a total of 121 stars and circles. What is the figure number?
  3. Another figure in the pattern has 50 more stars than circles. What is the total number of stars and circles in the figure?
5 m
Level 3
ABCD is a square of side 14 cm. The circle inside has an area of 154 cm2. What is the area of the shaded part?
3 m