Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
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Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
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Level 3
The figure shows a rectangular piece of paper. It is cut into 3 parts, X, Y and Z. Find the ratio of the area of the rectangular piece of paper to the area of Y. Leave your answer in the simplest form.
Level 3
The figure shows a rectangular piece of paper. It is cut into 3 parts, X, Y and Z. Find the ratio of the area of the rectangular piece of paper to the area of Y. Leave your answer in the simplest form.
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Level 2
What fraction of the figure is unshaded? (Leave your answer in its simplest form.)
Level 2
What fraction of the figure is unshaded? (Leave your answer in its simplest form.)
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Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m
2 . The area of the rectangular turtle pond is
34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
- What is the breadth of the turtle pond?
- What is length of the grass patch?
Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m
2 . The area of the rectangular turtle pond is
34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
- What is the breadth of the turtle pond?
- What is length of the grass patch?
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Level 3
The length of a rectangular table top is 215 m. Its breadth is 57 of its length. 14 of the table top is painted. What is the area of the table top that is painted? Give your answer as a mixed number in its simplest form.
3 m
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Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
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Level 3
The figure shows a rectangle in a square. The square is of side 15 cm. What is the area of the rectangle?
Level 3
The figure shows a rectangle in a square. The square is of side 15 cm. What is the area of the rectangle?
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Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
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Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
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