Questions

41 P6.AP.NK.21060403

Level 3 PSLE
The figure shows a square divided into two smaller squares A and C and two rectangles B and D. The total perimeter of rectangles B and D is 52 cm. The area of square A is 25 cm². What is the area of square C?

2 m

Attempt

42 P6.AN.NK.21060934

Level 2 PSLE
Seven landmarks on a map of an island are shown in the square grid.

In which direction is A from D? Give the answer in letter(s). (Eg N or NE)
Wendy is at one of the landmarks. She is facing C. When she turns 45° clockwise, she faces F. Which landmark is Wendy at? Give the answer in letter. (Eg A)

2 m

Attempt

Compass Grid square

43 P6.VO.NK.17053020

Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm² and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?

2 m

Attempt

Filling up with cubes Min-max

44 P6.AN.NK.21060933

Level 2 PSLE
The square grid shows the positions of points A, B, C, D, E, F, G and H.

Cindy walked directly from point F to point D in a straight line. In which direction did Cindy walk? Give your answer in letter. (Eg South-east = SE)
Dora stood at one of the points facing C. After she turned 45° clockwise, she faced E. Which point was Dora at?

2 m

Attempt

Compass Grid square

45 P6.AN.JC.22050901

Level 1 PSLE
Chan's home, his school and the market are located as shown in the square grid.

In what direction is Chan's home from his school? Give your answer in letters. (Eg East = E or Northeast = NE)
A new food court will be built at a location south-east of the school and north-east of the market. Identify the box (Eg 1) where the new food court will be built.

2 m

Attempt

Compass Grid square

46 P6.AP.JC.23031501

Level 1 PSLE
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.3 cm, 8.1 cm and 9.6 cm. What is the area of the square?

2 m

Attempt

Length Square Triangle Equal stage

47 P6.AP.NK.21060407

Level 2 PSLE
ABCD is a square of side 20 cm. It is formed from two rectangles AEGD and EBCG. H is a point on AD and F is a point on BC. Find the area of EFGH.

2 m

Attempt

Square Rectangle Triangle

48 P6.AN.NK.17051748

Level 2
The figure shows three identical squares ABCD, DEFG and DHIJ. Find ∠HDC.

2 m

Attempt

Right angle Square

49 P6.AP.NK.21060408

Level 2 PSLE
Rectangle ACEF is made up of two squares and two rectangles. AB = 2 cm and BC = 3 cm. What fraction of rectangle ACEF is shaded?

2 m

Attempt

Square Rectangle Triangle Fraction of a whole R Simplest form

50 P6.AP.NK.22041901

Level 2 PSLE
A parallelogram ABCD is drawn on a square grid.

Using the line XY, identify point Z on the grid to draw triangle XYZ such that it has the same perimeter as ABCD and XY = YZ. Give your number in number. (Eg 1)
Find the ratio of the area of XYZ to the area of ABCD.

2 m

Attempt

Triangle Parallelogram Square grid Finding ratio Equal stage

51 P6.AP.TL.17090767

Level 2
The figures F and G, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure F is 252 cm², find the area of the square in Figure G.

2 m

Attempt

Square Isosceles triangle Right-angled triangle Cut & paste

52 P6.AN.NK.17051707

Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.

2 m

Attempt

Right angle Square Isosceles triangle

53 P6.GE.NK.21060722

Level 1 PSLE
A unit shape in the form of a right-angled triangle is drawn in the grid. Cindy forms a rectangle by joining two unit shapes as shown. In addition to the rectangle, Cindy wants to form a trapezium. This figure is to be formed with the smallest number of unit shapes. How many triangles are required to construct the smallest trapezium?

1 m

Attempt

Grid square Right-angled triangle Parallelogram Rhombus Trapezium Min-max More than or less than

54 P6.AP.NK.21060425

Level 2 PSLE
Sandra had a rectangular piece of paper, 40 cm by 23.5 cm. She cut out as many squares as possible from the paper. The side of each square was 5 cm.

How many squares did Sandra cut out?
What area of the paper was left?

2 m

Attempt

Square Rectangle Tiling Min-max

55 P6.GE.NK.21060721

Level 2 PSLE
AB and BC form two sides of a trapezium ABCD drawn on a square grid inside a box. By joining dots on the grid with straight lines, identify Point D to complete the trapezium ABCD such that AD is longer than BC.

2 m

Attempt

Grid dots Right-angled triangle Trapezium Area perimeter More than or less than Equal stage

56 P6.AP.NK.21060411

Level 2 PSLE
A trapezium A is drawn by joining dots on the square grid with four straight lines. In the same way,

how many complete unit squares are required to draw a rectangle twice the area of trapezium A?
How many unit squares are required to draw a parallelogram with the same perimeter as trapezium A?

2 m

Attempt

Rectangle Parallelogram Trapezium Tiling Grid dots Times as many Equal stage

57 P6.AP.TL.17090712

Level 2
Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?

2 m

Attempt

Square Rectangle Tiling Min-max LCM

58 P6.GE.NK.21060728

Level 2 PSLE
Triangle BCD is drawn on a square grid inside a box. By joining dots on the grid with straight lines, identify the dot to draw a right-angled triangle BCE such that it has the same area as triangle BCD. Give your answer in number. (Eg 1)

2 m

Attempt

Grid dots Right-angled triangle Trapezium Area perimeter More than or less than Equal stage

59 P6.AP.TL.17090717

Level 2
In the figure, the circle is touching each of the two squares at exactly four points, if the area of the bigger square is 100 cm², find the area of the smaller square.