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)
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Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
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Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
Image in this question is not available.
Level 3
A rectangle is 15 cm long and 12 cm wide. 34 of the rectangle is shaded green and the rest is shaded blue. What is the area of the rectangle that is shaded blue?
4 m
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.
Level 3
A rectangular piece of paper was folded as shown.
- Find ∠a.
- Find ∠b.
Level 3
A rectangular piece of paper was folded as shown.
- Find ∠a.
- Find ∠b.
Image in this question is not available.
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
- Find ∠a.
- Find ∠c.
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
- Find ∠a.
- Find ∠c.
Image in this question is not available.
Level 3
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.
- Find the area of Figure 2. ABEDF, after the folding.
- In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.
Level 3
The figures are not drawn to scale. Figure 1 shows a rectangular piece of paper ACDF that measures 20 cm by 14 cm. AB = ED = 5 cm. The paper is folded along the dotted line BE such that point C touches point F, as shown in Figure 2.
- Find the area of Figure 2. ABEDF, after the folding.
- In Figure 2, ∠ABF is 76°. Find ∠BED in Figure 2.
Image in this question is not available.
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
Image in this question is not available.
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
Image in this question is not available.
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
Image in this question is not available.
Level 3
Mrs Singh had a rectangular garden measuring 13 m by 8 m. She decided to build a small pond inside the garden for her koi fishes and the surrounding area was laid with pebbles. Find the area of the pebbled pathway .
Level 3
Mrs Singh had a rectangular garden measuring 13 m by 8 m. She decided to build a small pond inside the garden for her koi fishes and the surrounding area was laid with pebbles. Find the area of the pebbled pathway .
Image in this question is not available.
Level 3
The figure shows a square plot of land that Mr Tan has. The perimeter of the square plot of land is 120 m. He wants to fence up the rectangular shaded area to grow vegetables. The price of fencing 1 m of land is $28. How much does Mr Lim need to pay for fencing the land?
Level 3
The figure shows a square plot of land that Mr Tan has. The perimeter of the square plot of land is 120 m. He wants to fence up the rectangular shaded area to grow vegetables. The price of fencing 1 m of land is $28. How much does Mr Lim need to pay for fencing the land?
Image in this question is not available.
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
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Level 3
Mr lmran had a rectangular garden with a perimeter of 48 m. The length of the garden was twice its breadth. He decided to build a pebbled pathway with a width of 2 m around the garden. Find the area of the pebbled pathway .
Level 3
Mr lmran had a rectangular garden with a perimeter of 48 m. The length of the garden was twice its breadth. He decided to build a pebbled pathway with a width of 2 m around the garden. Find the area of the pebbled pathway .
Image in this question is not available.
Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle
shape and a pond. 4 quarter circles make up the shape of the pond. The length and
breadth of the rectangle are 80 m and 44 m respectively.
- Find the perimeter of the pond.
- Find the area of the shaded part. (Take π = 3.14).
Level 3
The figure shows a rectangular park which consists of 1 pavilion in a semi-circle
shape and a pond. 4 quarter circles make up the shape of the pond. The length and
breadth of the rectangle are 80 m and 44 m respectively.
- Find the perimeter of the pond.
- Find the area of the shaded part. (Take π = 3.14).
Image in this question is not available.
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
Image in this question is not available.
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
Image in this question is not available.
Level 3
The figure is made up of Rectangle X and Square Y. Their total area is 73 cm2. The area of Rectangle X is 23 cm2 greater than Square Y. Find the area of Square Y.
Level 3
The figure is made up of Rectangle X and Square Y. Their total area is 73 cm2. The area of Rectangle X is 23 cm2 greater than Square Y. Find the area of Square Y.
Image in this question is not available.
Level 3
The figure is made up of Square A and Rectangle B. The length of Square A is 4 cm. The area of Rectangle B is 6 times the area of Square A. What is the area of Rectangle B?
Level 3
The figure is made up of Square A and Rectangle B. The length of Square A is 4 cm. The area of Rectangle B is 6 times the area of Square A. What is the area of Rectangle B?
Image in this question is not available.
