Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?
Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?
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Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
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Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3.
What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3.
What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
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Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
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Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
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Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
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Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
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Level 2 PSLEJasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
- Express the length of the remaining ribbon in terms of p in the simplest form.
- Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
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Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
- Find the perimeter of triangle ADE in terms of w.
- The perimeter of figure ABCDE is 44 cm. What is the value of w?
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
- Find the perimeter of triangle ADE in terms of w.
- The perimeter of figure ABCDE is 44 cm. What is the value of w?
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Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
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Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is
35 the area of Pentagon B. The area of Pentagon B is
35 the area of Pentagon C.
- Find the ratio of the area of Pentagon A to the area of Pentagon C.
- 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is
35 the area of Pentagon B. The area of Pentagon B is
35 the area of Pentagon C.
- Find the ratio of the area of Pentagon A to the area of Pentagon C.
- 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
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Level 3 PSLEThe figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
Level 3 PSLEThe figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
Image in this question is not available.
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
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Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
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Level 3
Each of the figures is made up of 1-cm sticks.
The table shows the number of sticks used to make the figures and their perimeters.
- Find the number of sticks in Figure 12.
- What is the perimeter of Figure 177?
- Which figure requires a total number of 4007 sticks?
Level 3
Each of the figures is made up of 1-cm sticks.
The table shows the number of sticks used to make the figures and their perimeters.
- Find the number of sticks in Figure 12.
- What is the perimeter of Figure 177?
- Which figure requires a total number of 4007 sticks?
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Level 3
Each figure is made up of a number of identical sticks of 1-cm length.
- Find the perimeter of Figure 50.
- Find the number of sticks in Figure 100.
- Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.
Level 3
Each figure is made up of a number of identical sticks of 1-cm length.
- Find the perimeter of Figure 50.
- Find the number of sticks in Figure 100.
- Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.
Image in this question is not available.
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
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Level 3
The perimeter of triangle A is equal to that of rectangle B.
- Find the length of rectangle B in terms of k.
- If k = 3, find the area of rectangle B.
Level 3
The perimeter of triangle A is equal to that of rectangle B.
- Find the length of rectangle B in terms of k.
- If k = 3, find the area of rectangle B.
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Level 3
A rectangle has a length of 16 cm and a breadth of 4q cm. Find
- its area in terms of q,
- its perimeter in terms of q,
- the area of the rectangle if q = 3.
4 m
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Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Image in this question is not available.