Questions

From Best to Worst

511 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

512 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.

What is the area of rectangle PQRS?
Given that the area of triangle TRU is 91 cm²
, find the area of triangle SPU.

4 m

Attempt

Rectangle Triangle Composite figure area Times as many Units method

513 P4.AP.NK.23050837

Level 3
The figure is formed by 4 identical shaded rectangles and an unshaded square. The area of the unshaded square is 49 cm². Find the total area of the 4 shaded rectangles.

4 m

Attempt

Length Square Rectangle Square & square root Rectilinear figure

514 P6.AP.NK.21060422

Level 3 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.

What is the width of the rectangular park?
Find the area of the path. Take π = 3.14.

4 m

Attempt

Length Rectangle Semicircle Quarter circle Composite figure area Boomerang

515 P4.AP.NK.23050839

Level 3
The figure, not drawn to scale, is made up of a square and three rectangles. The square has an area of 81 cm². What is the area of Rectangle X?

4 m

Attempt

Length Square Rectangle Square & square root Rectilinear figure

516 P4.AP.NK.23050840

Level 3
The figure, not drawn to scale, is made up of 2 squares and 2 rectangles. What is the area of Rectangle A?

4 m

Attempt

Length Square Rectangle Square & square root Rectilinear figure

517 P5.AP.JM.17083210

Level 3
ABFG is a square. The length of CD is ³₅ of BF and the area of BCDE is 864 cm². Given BC = EF, Find the area of the shaded parts.

4 m

Attempt

Square Composite figure area Fraction to units Units method

518 P4.AP.NK.23050841

Level 3
The figure is made up of 4 rectangles. The lengths and breadths of each rectangle are in whole numbers. Find the area of the shaded rectangle.

4 m

Attempt

Length Rectangle Rectilinear figure Common factors

519 P5.WN.JC.17083158

Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.

4 m

Attempt

Length Repeated patterns Intervals Units method

520 P4.AP.JM.17100242

Level 3
The figure, not drawn to scale, shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm² and the area of Square ABCD is 144 cm².