Level 3
Rectangle WXYZ is made up of 3 identical squares. Given that the perimeter of Rectangle WXYZ is 80 cm, find the total area of the unshaded parts.
Level 3
Rectangle WXYZ is made up of 3 identical squares. Given that the perimeter of Rectangle WXYZ is 80 cm, find the total area of the unshaded parts.
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Level 3
The figure is made up of 2 squares of different sizes. Find the area of the shaded part.
Level 3
The figure is made up of 2 squares of different sizes. Find the area of the shaded part.
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Level 3
The figure is made up of 2 squares of sides 27 cm and 21 cm respectively. What is the area of the shaded part?
Level 3
The figure is made up of 2 squares of sides 27 cm and 21 cm respectively. What is the area of the shaded part?
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Level 3
A square base tank has a volume of 2880 cm3. If the edge of the base is 35 that of its height, find the area of its base.
4 m
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Level 3
The figure (not drawn to scale) is made up of 2 squares and a triangle. The areas of the 2 squares are shown. What is the area of the triangle?
Level 3
The figure (not drawn to scale) is made up of 2 squares and a triangle. The areas of the 2 squares are shown. What is the area of the triangle?
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Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
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Level 3
The figure shows a square (A and B) and a triangle (B and C). Find the difference between the area of A and that of C.
Level 3
The figure shows a square (A and B) and a triangle (B and C). Find the difference between the area of A and that of C.
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Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
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Level 3
In the figure. ABCD is a square of side 23 cm. Find the total area of the shaded parts.
Level 3
In the figure. ABCD is a square of side 23 cm. Find the total area of the shaded parts.
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Level 3
Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.
- What is the height of the cuboid?
- If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
Level 3
Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.
- What is the height of the cuboid?
- If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
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Level 3
The figure is made up of 2 rectangles A and D and 2 squares B and C. Find the area of the figure.
Level 3
The figure is made up of 2 rectangles A and D and 2 squares B and C. Find the area of the figure.
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Level 3
Study the pattern carefully.
- How many shaded squares are there in Pattern 4?
- How many squares are there altogether in Pattern 7?
- In which pattern will you find 37 shaded squares?
Level 3
Study the pattern carefully.
- How many shaded squares are there in Pattern 4?
- How many squares are there altogether in Pattern 7?
- In which pattern will you find 37 shaded squares?
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Level 3
The figure is made up a rectangle and a square.
- Find the perimeter of the figure.
- Find the area of the figure.
Level 3
The figure is made up a rectangle and a square.
- Find the perimeter of the figure.
- Find the area of the figure.
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Level 3 The diagram shows a sequence of patterns formed by identical triangles.
Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)
- A figure in the pattern has a total of 169 triangles. What is the Figure Number?
- Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?
Level 3 The diagram shows a sequence of patterns formed by identical triangles.
Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)
- A figure in the pattern has a total of 169 triangles. What is the Figure Number?
- Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?
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Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
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Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
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Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
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Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.
When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?
Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.
When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?
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Level 3
The figure is made up of four identical squares of sides 18 cm. Find the total area of the figure that is shaded.
Level 3
The figure is made up of four identical squares of sides 18 cm. Find the total area of the figure that is shaded.
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Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
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