Level 2
Square ABCD is folded as shown in the diagram. Find ∠x.
2 m
Level 2
The figure shows a piece of square paper ABCD folded at two of its corners A and C. Given that ∠ADE = 12° and ∠CDF = 15°, find ∠ADC.
2 m
Level 2
Pauline has a piece of square paper. She folded it along the dotted line as shown. Find ∠g.
2 m
Level 2
Given that each shaded square is 1 cm2, find the area of the shaded figure shown.
2 m
Level 2
The figure is made up of a rectangle and a square. The area of the rectangle is thrice the area of the square. If the area of the square is 16 cm2 and the breadth of the rectangle is 2 cm, find the length of the rectangle.
2 m
Level 3
The total surface area of a cube is 6 m2. What is the volume of the cube?
3 m
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
3 m
Level 3
Mr Tan had a square garden with a perimeter of 36 m as shown in the diagram. He built a path of width 1.5 m around it. Find the area of the pathway.
3 m
Level 3
Mr Tan wants to lay carpet grass in this entire square garden. The cost of the carpet grass is $25 per square metre. The length of the square is 10 m. How much did Mr Tan pay for carpeting his garden? (The diagram is not drawn to scale)
3 m
Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
  1. How many squares will there be in Pattern 18?
  2. Which pattern is formed with 134 squares?
4 m