Level 3
The figure is made up of Squares A and B and Rectangle C. Find the length of Square A.
Level 3
The figure is made up of Squares A and B and Rectangle C. Find the length of Square A.
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Level 2
3 rows of 24 pupils each were told to arrange themselves to form a hollow square with the same number of pupils along each side of the square. How many pupils were there each side of the square?
2 m
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Level 3 The diagrams show a pattern made up of squares.
- How many squares are there in Pattern 6?
- How many sides are there in Pattern 5?
- What is the Pattern Number for 246 sides?
Level 3 The diagrams show a pattern made up of squares.
- How many squares are there in Pattern 6?
- How many sides are there in Pattern 5?
- What is the Pattern Number for 246 sides?
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Level 3
The figure shows a pattern formed using some ice cream sticks.
- How many ice-cream sticks are used to form 15 squares?
- How many squares can be formed using 106 ice-cream sticks?
Level 3
The figure shows a pattern formed using some ice cream sticks.
- How many ice-cream sticks are used to form 15 squares?
- How many squares can be formed using 106 ice-cream sticks?
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Level 3
The diagram shows square X and rectangle Y. The length of rectangle Y is 9 cm longer than its breadth. The breadth of rectangle Y is the same as the length of square X. The perimeter of square X is 56 cm. Find the area of rectangle Y.
Level 3
The diagram shows square X and rectangle Y. The length of rectangle Y is 9 cm longer than its breadth. The breadth of rectangle Y is the same as the length of square X. The perimeter of square X is 56 cm. Find the area of rectangle Y.
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Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
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Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
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Level 3
A square of side 6 cm has the same perimeter as a rectangle. Find the area of the rectangle if the length of the rectangle is twice the breadth of the rectangle.
3 m
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Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
Level 3
The figure is made up of a shaded rectangle inside a square. The length of the square is 10 cm and its area is 5 times the area of the shaded rectangle. What is the breadth of the shaded rectangle if its length is 12 the length of the square?
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Level 3
Find the sum of all the odd numbers that are less than 40.
4 m
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Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
- Name the line that is parallel to AC.
- Find ∠FGC.
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
- Name the line that is parallel to AC.
- Find ∠FGC.
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Level 3 The following pattern is made up of shaded and unshaded squares.
- Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
- Find the number of unshaded squares for Figure 30.
- Find the number of shaded squares for Figure 30.
Level 3 The following pattern is made up of shaded and unshaded squares.
- Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
- Find the number of unshaded squares for Figure 30.
- Find the number of shaded squares for Figure 30.
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Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
3 m
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Level 2
The rectangle and the square have the same perimeter. Find the length of the rectangle.
Level 2
The rectangle and the square have the same perimeter. Find the length of the rectangle.
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Level 3
The figure is made up of a triangle and a square. The perimeter of the triangle is 16 m. Find the perimeter of the figure.
Level 3
The figure is made up of a triangle and a square. The perimeter of the triangle is 16 m. Find the perimeter of the figure.
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Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
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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 2
The figure is made up of two squares X and Y. The length of square X is equal to AO, and AO = OB. If the area of the shaded region is 9 cm2, find the length of square Y.
Level 2
The figure is made up of two squares X and Y. The length of square X is equal to AO, and AO = OB. If the area of the shaded region is 9 cm2, find the length of square Y.
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Level 3
The following is made up of identical triangles. Study the pattern carefully.
- Complete the table for Figure 4.
- A figure number in the pattern has a total of 144 triangles. What is the figure number?
Level 3
The following is made up of identical triangles. Study the pattern carefully.
- Complete the table for Figure 4.
- A figure number in the pattern has a total of 144 triangles. What is the figure number?
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Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
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