Questions

From Worst to Best

501 P6.AP.TL.17090838

Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm². What is the area of the shaded part?

4 m

Attempt

502 P4.FR.JM.17101720

Level 3
A snail is climbing to the top of a wall. It starts from the bottom of the wall and after climbing ²₅ of the height of the wall, it begins to rain. During the rain, the snail slips down 2 m. When the rain stops, the snail climbs up the remaining ⁷₁₀ of the height of the wall to reach the top of the wall. Find the height of the wall.

4 m

Attempt

F Addition & subtraction Fraction to units Length Units method

503 P4.AP.JM.17100270

Level 3
The figure is made up of 4 identical rectangles, A, B, C and D. The perimeter of rectangle A is 72 cm.

What is the breadth of rectangle B?
Find the area of rectangle C.

4 m

Attempt

Length Rectangle Rectilinear figure Units method

504 P5.AP.NK.23022713

Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.

4 m

Attempt

Square Rectilinear area Triangle Composite figure area

505 P6.AP.TL.17090839

Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)

4 m

Attempt

Rectangle Triangle Circle Semicircle Quarter circle Composite figure area Cut & paste

506 P4.AP.JM.17100120

Level 3
A, B, C and D are identical rectangles. What is the perimeter of the shaded part?

4 m

Attempt

Length Square Rectangle Rectilinear figure

507 P5.AP.JM.17083194

Level 3
4 identical right-angled triangles are used to form a square as shown.

What is the area of square ABCD?
What is the length of Square ABCD?

4 m

Attempt

Square Right-angled triangle Composite figure area

508 P4.AP.NK.23050835

Level 3
The figure shows a square frame that is made up of 4 identical rectangles. The length of each rectangle is three times of its breadth. The perimeter of the frame is 96 cm. Find the shaded area.

4 m

Attempt

Length Square Rectangle Rectilinear figure Times as many

509 P4.AP.NK.23050836

Level 3
4 identical rectangles are arranged as shown. XY is 13 cm and the unshaded area Square ABCD is 81 cm². Find the breadth of the rectangle.

4 m

Attempt

Length Square Rectangle Square & square root Rectilinear figure

510 P5.AP.NK.23022717

Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.