401 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
402 P5.AP.JM.17083152
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.
3 m
Rectangle Folded figure
403 P6.AP.JC.17100101
Level 2 PSLE
Two figures R and S are shown in the square grid.
  1. Which figure has a bigger area?
  2. Which figure has a bigger perimeter?
  3. Which angle is bigger? ∠a or ∠b
3 m
Grid square Rhombus Estimation of an angle
404 P4.AP.JM.17100166
Level 3
The area of the shaded part in the rectangle is 40 cm2. Find the perimeter of the rectangle.
3 m
Rectangle Triangle
405 P5.AP.JM.17083153
Level 2
The figure shows a piece of square paper with two of the corners folded. Triangle A and Triangle B are identical and Triangle XYZ is an equilateral triangle. Find the area of the shaded part.
3 m
Square Equilateral triangle Folded figure
406 P6.AP.NK.21060426
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?
3 m
Rectangle Tiling Unit conversion
407 P5.AP.JM.17083165
Level 3
PQRS is a square of area 64 cm2. X and Y are midpoints of PQ and PS respectively. Find the area of the shaded triangle.
3 m
Square Triangle common base
408 P6.AP.NK.21060428
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.
  1. What fraction of the square tile in Figure 1 is grey?
  2. 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.
3 m
Square Rectangle Cut & paste Tiling Fraction of a whole
409 P5.AP.JM.17083167
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.
3 m
Rectangle Triangle Triangle common base Ratio to units
410 P5.AP.JM.17083161
Level 2
Find the total area of the unshaded parts of the figure.
3 m
Rectangle Triangle Triangle common base
411 P6.AP.TL.17090772
Level 3
The figure is made up of 16 square tiles. What fraction of the figure is shaded? Give the answer in the simplest form.
3 m
Square Triangle Tiling Fraction of a whole F Simplest form
412 P6.AP.NK.21060429
Level 3 PSLE
The pattern on the tile ABCD shows squares of different sizes. AF = FE and AE = ED.
  1. What fraction of the tile ABCD is shaded?
  2. Figure 2 is made up of four such tiles. The area of the unshaded part of Figure 2 is 80 cm2. What is the total area of the shaded parts in Figure 2?
3 m
Square Tiling Overlapping area Fraction of a whole
413 P4.AP.JM.17100195
Level 3
A rectangular floor, 18 m by 9.5 m, is laid with rubber tiles at a cost of $29 per square metre.
  1. Find the cost of tiling the floor.
  2. Round off the answer in (a) to the nearest thousand dollars.
3 m
Rectangle Tiling W Round off Money
414 P5.AP.NK.23012631
Level 2
In the figure, AB and CD are parallel lines. The area of Triangle BCD is 24 cm2. The area of Triangle CED is 15 cm2. Find the area of the shaded triangle.
3 m
Triangle Triangle common base Triangle common height
415 P6.AP.TL.17090775
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.
  1. In the arrangement shown in Figure B, what is the width of the gap at the side in m?
  2. What is the height of the cupboard in metres?
3 m
Length Rectangle Rectilinear figure Tiling Unit conversion Units equations
416 P4.AP.JM.17100247
Level 3
Figure A is a square with perimeter 64 m is folded into half as shown. What is the area of the new Figure B?
3 m
Folded figure Fraction of a whole
417 P4.AP.JM.17100150
Level 3
A rectangular piece of paper, not drawn to scale, is folded as shown. What is the area of the piece of paper?
3 m
Rectangle Folded figure
418 P6.AP.TL.17090780
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
3 m
Length Circle Circumference Distance apart
419 P6.AP.TL.17090779
Level 3
Tom built a car using two identical wheels of radius 2.9 cm each as shown. The distance between the centres of the two wheels is 59.2 cm. He rolled the car from one end of the room to the other end touching walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make? Take π = 3.14.
3 m
Circle Circumference Unit conversion Distance apart
420 P5.AP.JM.17083168
Level 2
Abby used a piece of wire 3.68 m long to make 4 squares as shown. What is the length of AB?
3 m
Length Square

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