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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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Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)
Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)
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Level 3
The figure shows a triangle KLM and 3 semicircles. If the shaded area of the semicircle, labelled y, is 13 the unshaded area of the semicircle, labelled x, find the total shaded area. (Take π = 3.14)
Level 3
The figure shows a triangle KLM and 3 semicircles. If the shaded area of the semicircle, labelled y, is 13 the unshaded area of the semicircle, labelled x, find the total shaded area. (Take π = 3.14)
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Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.
Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.
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Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
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Level 3
The figure, not drawn to scale, is made up of a square, a quadrant and a semicircle. WXYZ is a square of side 28 cm. Find the area of the shaded part. (Take π = 227)
Level 3
The figure, not drawn to scale, is made up of a square, a quadrant and a semicircle. WXYZ is a square of side 28 cm. Find the area of the shaded part. (Take π = 227)
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Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
- Find the radius of the medium-sized circle.
- Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
- Express the area of the region Y as a ratio to the area of region X.
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
- Find the radius of the medium-sized circle.
- Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
- Express the area of the region Y as a ratio to the area of region X.
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Level 3
The figure is made up of a circle, a rectangle and 2 semicircles. AC, the diameter of the circle, is 15 cm, AB is 12 cm and BC is 9 cm.
- What is the total area of the shaded parts?
- What is the total perimeter of the shaded parts?
(Take π = 3.14)
Level 3
The figure is made up of a circle, a rectangle and 2 semicircles. AC, the diameter of the circle, is 15 cm, AB is 12 cm and BC is 9 cm.
- What is the total area of the shaded parts?
- What is the total perimeter of the shaded parts?
(Take π = 3.14)
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Level 3 PSLE The figure shows a table cloth. The outside edge of the mat is formed by 4 semicircles and 2 quarter circles, each of radius 14 cm.
- Find the perimeter of the mat.
- Find the area of the mat. Take π = 227.
Level 3 PSLE The figure shows a table cloth. The outside edge of the mat is formed by 4 semicircles and 2 quarter circles, each of radius 14 cm.
- Find the perimeter of the mat.
- Find the area of the mat. Take π = 227.
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Level 3 PSLE The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm
2.
- Find the perimeter of the rectangle.
- Find the area of the figure. Take π = 3.14
Level 3 PSLE The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm
2.
- Find the perimeter of the rectangle.
- Find the area of the figure. Take π = 3.14
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Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
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Level 3 PSLE
A small circle with centre O has been cut from a circular piece of cardboard with the same centre. The radius of the small circle is 8 cm.
The remaining cardboard is then cut into four equal parts along the dotted lines as shown in Figure 1. The four parts are rearranged to form a new shape in Figure 2.
- Find the area of the new shape.
- Find the perimeter of the new shape. (Take π = 3.14)
Level 3 PSLE
A small circle with centre O has been cut from a circular piece of cardboard with the same centre. The radius of the small circle is 8 cm.
The remaining cardboard is then cut into four equal parts along the dotted lines as shown in Figure 1. The four parts are rearranged to form a new shape in Figure 2.
- Find the area of the new shape.
- Find the perimeter of the new shape. (Take π = 3.14)
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Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is
110 of the area of the rectangle and
13 the area of Triangle Z. Triangle Y has an area of 12 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is
110 of the area of the rectangle and
13 the area of Triangle Z. Triangle Y has an area of 12 cm
2.
- Find the area of the rectangle.
- Find the perimeter of the rectangle.
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Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
- Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
- Find the area of the shaded region.
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
- Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
- Find the area of the shaded region.
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Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
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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 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
- Find the width of each tile.
- Find the total area of the shaded regions.
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
- Find the width of each tile.
- Find the total area of the shaded regions.
Image in this question is not available.
Level 3
In the figure, not drawn to scale, Triangle ABC and DEF are identical right-angled triangles. Find the unshaded area of the figure.
Level 3
In the figure, not drawn to scale, Triangle ABC and DEF are identical right-angled triangles. Find the unshaded area of the figure.
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Level 3
The rectangle is divided into four parts A, B, C and D.
The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
- Find the ratio of Part A to Part B to Part C.
- Given that Part D is 26 cm2 , find the area of the rectangle.
Level 3
The rectangle is divided into four parts A, B, C and D.
The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
- Find the ratio of Part A to Part B to Part C.
- Given that Part D is 26 cm2 , find the area of the rectangle.
Image in this question is not available.
