Level 3
4 straws are needed to form 1 square. 7 straws are needed to form 2 squares. 10 straws are needed to form 3 squares. How many straws are needed to form 5 squares?
4 m
Level 3
The figure shows a rectangular container with a square base of area 16 cm2. The area of the shaded face is 36 cm2.
  1. What is the height of the container?
  2. James filled a third of the container with water. Find the volume of the water.
3 m
Level 3
The figure shows a big square of side 14 cm. Four small 3 cm squares are cut out from the four corners of the big square. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Level 3
Study the table carefully.
  1. How many dots are there in Figure 5?
  2. How many dots are there in Figure 10?
  3. If there are 36 dots, what is the figure number?
4 m
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
The figure shows a big rectangle measuring 14 cm by 10 cm. Four small squares of side 2 cm are cut out from the four corners of the big rectangle. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
  1. How many shaded rectangles are there in Row 9?
  2. In which row would there be 37 rectangles?
  3. Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
4 m
Level 3 PSLE
Table 1 consists of numbers from 1 to 72. Kenny and Lionel are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square covered.
  1. Kenny puts the frame on the 9 squares shown in Figure 1. What is the average of the 8 numbers that can be seen in the frame?
  2. Lionel puts the frame on some other 9 squares. The sum of the 8 numbers that can be seen in the frame is 320. What is the smallest number that can be seen in the frame?
3 m
Level 3
The figure shows a rectangle of breadth 10 cm and 4 similar squares of side 4 cm. The area of the shaded part is 286 cm2.
  1. What is the length of the rectangle?
  2. What is the perimeter of the rectangle?
3 m
Level 3
Find the missing numbers.
The sum of the 3 numbers across the square is 12. The sum of the 3 numbers down the square is also 12.
  1. A
  2. B
  3. C
  4. D
4 m
Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 m
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
3 m
Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
3 m
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m