Level 3 PSLEIn the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
- Find ∠FGH.
- Find ∠ECH.
Level 3 PSLEIn the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
- Find ∠FGH.
- Find ∠ECH.
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Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
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Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
- Find ∠CGD.
- Find ∠GFE.
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
- Find ∠CGD.
- Find ∠GFE.
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Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
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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 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.
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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.
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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.
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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
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.
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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)
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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 .
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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).
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Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
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Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
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Level 3 PSLE The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
- What is the width of the rectangular park?
- Find the area of the path. Take π = 3.14.
Level 3 PSLE The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
- What is the width of the rectangular park?
- Find the area of the path. Take π = 3.14.
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Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
- The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
- What is the area of the shaded part?
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
- The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
- What is the area of the shaded part?
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Level 3 PSLE In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm
2.
- What is the area of each triangle that was cut out?
- The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
Level 3 PSLE In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm
2.
- What is the area of each triangle that was cut out?
- The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
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Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
- What is the radius of each quarter circle?
- What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
- What is the radius of each quarter circle?
- What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
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Level 2 PSLE A symmetric figure is drawn on a rectangular piece of paper 20 cm by 15 cm as shown. Its outline consists of a large semicircle, 2 smaller semicircles and 2 straight lines.
- What is the area of the figure?
- What is its perimeter? Take π = 3.14
Level 2 PSLE A symmetric figure is drawn on a rectangular piece of paper 20 cm by 15 cm as shown. Its outline consists of a large semicircle, 2 smaller semicircles and 2 straight lines.
- What is the area of the figure?
- What is its perimeter? Take π = 3.14
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