Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
Image in this question is not available.
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
Image in this question is not available.
Level 2
The figure shows a circle with parts of its region shaded. O is the centre of the circle. Line A is 14.3 cm and Line B is 15.8 cm. Find the difference between the shaded and unshaded areas.
Level 2
The figure shows a circle with parts of its region shaded. O is the centre of the circle. Line A is 14.3 cm and Line B is 15.8 cm. Find the difference between the shaded and unshaded areas.
Image in this question is not available.
Level 3 PSLE
Two rectangular mats, each 6 m by 4 m, are place on the floor of a rectangular room as shown. The mats overlap. The area of the floor covered by the overlap is 5.6 cm2. Find the area of the floor not covered by the mats.
Level 3 PSLE
Two rectangular mats, each 6 m by 4 m, are place on the floor of a rectangular room as shown. The mats overlap. The area of the floor covered by the overlap is 5.6 cm2. Find the area of the floor not covered by the mats.
Image in this question is not available.
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
Image in this question is not available.
Level 3 PSLEThe figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
Level 3 PSLEThe figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
Image in this question is not available.
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
Image in this question is not available.
Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
Level 3
The figure shows a rectangular piece of paper with 3 rectangular stickers pasted on it. The stickers have a width of 13 cm each. Find the area of the region that is not covered by the stickers.
Image in this question is not available.
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
Image in this question is not available.
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
Image in this question is not available.
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
Image in this question is not available.
Level 3
The perimeter of triangle A is equal to that of rectangle B.
- Find the length of rectangle B in terms of k.
- If k = 3, find the area of rectangle B.
Level 3
The perimeter of triangle A is equal to that of rectangle B.
- Find the length of rectangle B in terms of k.
- If k = 3, find the area of rectangle B.
Image in this question is not available.
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
Image in this question is not available.
Level 3
The figure is made up of 7 identical rectangles.
- Find the perimeter of the figure.
- Find the shaded area.
Level 3
The figure is made up of 7 identical rectangles.
- Find the perimeter of the figure.
- Find the shaded area.
Image in this question is not available.
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?
Image in this question is not available.
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.
Image in this question is not available.
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?
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?
Image in this question is not available.
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.
Image in this question is not available.
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?
Image in this question is not available.
