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 shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF.
Find ∠AEB.
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF.
Find ∠AEB.
Image in this question is not available.
Level 2
The figure is not drawn to scale. A rectangular piece of paper is folded to form the figure as shown. Find the area of the rectangular piece of paper before it was folded.
Level 2
The figure is not drawn to scale. A rectangular piece of paper is folded to form the figure as shown. Find the area of the rectangular piece of paper before it was folded.
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Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
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Level 3
The area of the shaded part in the rectangle is 40 cm2. Find the perimeter of the rectangle.
Level 3
The area of the shaded part in the rectangle is 40 cm2. Find the perimeter of the rectangle.
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Level 3 PSLE
A path of length 28 m is completely covered with identical tiles, following the pattern shown. The width of the path is 70 cm. How many tiles were used to cover the entire path?
Level 3 PSLE
A path of length 28 m is completely covered with identical tiles, following the pattern shown. The width of the path is 70 cm. How many tiles were used to cover the entire path?
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Level 3 PSLE Figure 1 shows a square tile made up of 2 grey squares, A and B and 2 identical white rectangles C. The length of 1 side of square A is twice the length of 1 side of square B.
- What fraction of the square tile in Figure 1 is grey?
- Figure 2 shows a wall laid with square tiles. The wall is 9 m by 9 m and is completed covered with square tiles. Find the total area of the wall covered by grey squares.
Level 3 PSLE Figure 1 shows a square tile made up of 2 grey squares, A and B and 2 identical white rectangles C. The length of 1 side of square A is twice the length of 1 side of square B.
- What fraction of the square tile in Figure 1 is grey?
- Figure 2 shows a wall laid with square tiles. The wall is 9 m by 9 m and is completed covered with square tiles. Find the total area of the wall covered by grey squares.
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Level 3
The figure is made up of Rectangle ABCD. AFE is a straight line and EC = AG. The ratio of BE to BC is 5 : 8. Find the shaded area.
Level 3
The figure is made up of Rectangle ABCD. AFE is a straight line and EC = AG. The ratio of BE to BC is 5 : 8. Find the shaded area.
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Level 2
Find the total area of the unshaded parts of the figure.
Level 2
Find the total area of the unshaded parts of the figure.
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Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
- In the arrangement shown in Figure B, what is the width of the gap at the side in m?
- What is the height of the cupboard in metres?
Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
- In the arrangement shown in Figure B, what is the width of the gap at the side in m?
- What is the height of the cupboard in metres?
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Level 3
A rectangular floor, 18 m by 9.5 m, is laid with rubber tiles at a cost of $29 per square metre.
- Find the cost of tiling the floor.
- Round off the answer in (a) to the nearest thousand dollars.
3 m
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Level 3
A rectangular piece of paper, not drawn to scale, is folded as shown. What is the area of the piece of paper?
Level 3
A rectangular piece of paper, not drawn to scale, is folded as shown. What is the area of the piece of paper?
Image in this question is not available.
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
- Find the volume of the solid.
- This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
- Find the volume of the solid.
- This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
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Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
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Level 2
In the figure, ABCD is a rectangle. ∠ABE = 52° and ∠ECD = 28°. What is the value of ∠BEC?
Level 2
In the figure, ABCD is a rectangle. ∠ABE = 52° and ∠ECD = 28°. What is the value of ∠BEC?
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Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?
Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?
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Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
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Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
- ∠y
- ∠z
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
- ∠y
- ∠z
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Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
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Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
Image in this question is not available.
