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?
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?
Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 2
A piece of rope is 100 cm long. It is cut into 2 pieces. One piece is used to form a square. Each side of the square is 12 cm. What is the length of the other piece?
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.
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.
Level 2
The figures are not drawn to scale. Find the difference in the perimeter between 2 squares, square A having a side length of 5 cm and square B having a side length of 2 cm.
Level 2
The figures are not drawn to scale. Find the difference in the perimeter between 2 squares, square A having a side length of 5 cm and square B having a side length of 2 cm.
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)
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)
