Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
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Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
3 m
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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 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
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
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Level 2
A piece of rope is 100 cm long. It is cut into 2 pieces. One piece is used to form a square. Each side of the square is 12 cm. What is the length of the other piece?
3 m
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Level 3
Mr Tan had a square garden with a perimeter of 36 m as shown in the diagram. He built a path of width 1.5 m around it. Find the area of the pathway.
Level 3
Mr Tan had a square garden with a perimeter of 36 m as shown in the diagram. He built a path of width 1.5 m around it. Find the area of the pathway.
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Level 2
The figures are not drawn to scale. Find the difference in the perimeter between 2 squares, square A having a side length of 5 cm and square B having a side length of 2 cm.
Level 2
The figures are not drawn to scale. Find the difference in the perimeter between 2 squares, square A having a side length of 5 cm and square B having a side length of 2 cm.
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Level 3
Mr Tan wants to lay carpet grass in this entire square garden. The cost of the carpet grass is $25 per square metre. The length of the square is 10 m. How much did Mr Tan pay for carpeting his garden? (The diagram is not drawn to scale)
Level 3
Mr Tan wants to lay carpet grass in this entire square garden. The cost of the carpet grass is $25 per square metre. The length of the square is 10 m. How much did Mr Tan pay for carpeting his garden? (The diagram is not drawn to scale)
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Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 18?
- Which pattern is formed with 134 squares?
Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 18?
- Which pattern is formed with 134 squares?
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Level 2
The larger square has a length of 5 cm and the smaller square has a length of 3 cm. Find the difference in the perimeter between 2 squares.
3 m
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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 2
Beatrice placed potted plants at equal distance apart from each other to form the perimeter of a square garden. There was a potted plant in each corner. Given that there were 4 potted plants on each side of the garden, how many potted plants did Beatrice place?
2 m
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Level 3
HJKM is made up of two squares. What is ∠HLJ?
Level 3
HJKM is made up of two squares. What is ∠HLJ?
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Level 3
The model are made up of square tiles. How many square tiles are needed to build the 8th model?
Level 3
The model are made up of square tiles. How many square tiles are needed to build the 8th model?
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Level 3
The figure is made up of a rectangle and a square of side 7 cm. Find the area of the shaded part.
Level 3
The figure is made up of a rectangle and a square of side 7 cm. Find the area of the shaded part.
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Level 3
In the figure, STUV is a square. Find ∠b.
Level 3
In the figure, STUV is a square. Find ∠b.
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Level 3
The diagram shows the pattern for the number of circles.
- How many circles will Pattern 4 contain?
- How many circles will Pattern 30 contain?
- Which pattern contains 421 circles?
Level 3
The diagram shows the pattern for the number of circles.
- How many circles will Pattern 4 contain?
- How many circles will Pattern 30 contain?
- Which pattern contains 421 circles?
Image in this question is not available.
Level 3
A square has the same perimeter as the rectangle shown. Find the area of the square.
Level 3
A square has the same perimeter as the rectangle shown. Find the area of the square.
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Level 3
One man can sit at each side of a square table. If 7 square tables are joined end to end to form a long table, how many man can be seated at the long table?
Level 3
One man can sit at each side of a square table. If 7 square tables are joined end to end to form a long table, how many man can be seated at the long table?
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