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, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
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Level 2 PSLE The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
- What is the radius of the large quarter circle?
- Find the perimeter of the shaded figure.
Level 2 PSLE The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
- What is the radius of the large quarter circle?
- Find the perimeter of the shaded figure.
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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
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 PSLE The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
- Find the perimeter of the unshaded part.
- Find the total area of the shaded parts.
Level 3 PSLE The figure is formed by two identical circles at W and Y. WYXZ is a square and the length of XY is 14 cm. (Take π = 3.14)
- Find the perimeter of the unshaded part.
- Find the total area of the shaded parts.
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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
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is
110 the area of the square while the area of B is
16 the area of the square.
- The total areas of A and B is 240 cm2. What is the length of each side of the square?
- What fraction of the square is Area of D?
Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is
110 the area of the square while the area of B is
16 the area of the square.
- The total areas of A and B is 240 cm2. What is the length of each side of the square?
- What fraction of the square is Area of D?
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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 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 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2.
Find the ratio of the shaded area to the unshaded area.
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2.
Find the ratio of the shaded area to the unshaded area.
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Level 2
Jessie wants 200 ribbons of length 110 cm each for a party. However, the ribbons were sold at 25 m per tape. How many tapes will Jessie need?
2 m
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Level 3 PSLE
Jasmine needs 200 pieces of ribbon, each of length 120 cm, to decorate a hall for a party. Ribbon is sold in rolls of 45 m each. What is the least number of rolls of ribbon that Jasmine needs to buy?
Level 3 PSLE
Jasmine needs 200 pieces of ribbon, each of length 120 cm, to decorate a hall for a party. Ribbon is sold in rolls of 45 m each. What is the least number of rolls of ribbon that Jasmine needs to buy?
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Level 3 PSLE
Yoko wants to make 14 small identical triangles and 20 large identical triangles using wire. She has made 12 small triangles and 7 large ones using 640 cm of wire. The length of wire she
used for 3 large triangles is the same as that for 4 small stars.
- How many large triangles can be made with the same length of wire used to make 12 small triangles?
- What is the length of wire she needs to make the remaining triangles? Express your answer in cm.
4 m
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Level 3 PSLE
Yoko had two streamers of the same length. She cut the first streamer into equal parts of length 90 cm and to each part she tied 4 blue heart cutouts. After that, she cut the second streamer into equal parts of length 120 cm and to each part she tied 7 red heart cutouts. When she finished tying, she counted that there were 80 more red heart cutouts than blue heart cutouts. How many heart cutouts were there altogether?
5 m
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