Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
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Level 3
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
Level 3
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
Image in this question is not available.
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
Image in this question is not available.
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Level 3 PSLE
A plot of land which had an area of 876 m
2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
- Find the length of AB.
- Find the perimeter of the plot of land.
Level 3 PSLE
A plot of land which had an area of 876 m
2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
- Find the length of AB.
- Find the perimeter of the plot of land.
Image in this question is not available.
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
- Find the area of the rectangular piece of paper.
- Find the total area of X, Y and Z in Figure B.
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
- Find the area of the rectangular piece of paper.
- Find the total area of X, Y and Z in Figure B.
Image in this question is not available.
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
- what is the maximum grass patch area that the horse can feed on?
- find the total area of the grass patch that the horse cannot feed on.
(Take π = 3.14)
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
- what is the maximum grass patch area that the horse can feed on?
- find the total area of the grass patch that the horse cannot feed on.
(Take π = 3.14)
Image in this question is not available.
Level 3
A piece of rope is used to make the figure shown. Inside the big semicircle are 2 small circles and 3 small semi-circles, all of which have the same radius. The diameter of the big semicircle is 30 cm. Find the area of the shaded region. (Leave the answer in terms of π)
Level 3
A piece of rope is used to make the figure shown. Inside the big semicircle are 2 small circles and 3 small semi-circles, all of which have the same radius. The diameter of the big semicircle is 30 cm. Find the area of the shaded region. (Leave the answer in terms of π)
Image in this question is not available.
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
Image in this question is not available.
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
Image in this question is not available.
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
Image in this question is not available.
