Questions

From Worst to Best

61 P6.AP.TL.17090758

Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.

2 m

Attempt

62 P6.VO.NK.17053171

Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release ¹₄ of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.

What is the length of Tank A?
How many m³ of water are there in Tank B?

3 m

Attempt

Volume of cuboid Height of cuboid Volume transfer Fraction of a whole

63 P6.AG.JC.23030112

Level 3 PSLE
The 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.

3 m

Attempt

Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle

64 P6.FR.JC.22050804

Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box ³₅ m long. What is the most number of cones he can pack into the box?

3 m

Attempt

Fractions with units Length Unit conversion Remainder min-max Units method

65 P6.FR.TL.16010140

Level 3
The length of Bamboo Pole G is ¹₄ of the length of Bamboo Pole H and the length of Bamboo Pole H is ¹₃ of the length of Bamboo Pole I and ¹₁₀ of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?

3 m

Attempt

Fraction to units Repeated identity Units table Units manipulation

66 P6.DE.JM.17032802

Level 3
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?

4 m

Video Attempt

D 4 operations Length Units method

67 P6.RD.JC.22031810

Level 3 PSLE
At a swimathon, each swimmer completed either a 2-km route, a 4-km route or an 5-km route. ¹₅ of the swimmers completed the 2-km route, ⁷₂₀ of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $12960 was donated to charity.

What is the ratio of the number of swimmers who completed the 2-km route to the number who completed the 4-km route to the number who completed the 5-km route?
What is the total number of swimmers at the swimathon?

4 m

Attempt

F Addition & subtraction Fraction to units Finding Ratio Length Number x value Units table

68 P6.AP.TL.17090768

Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is ¹₂ the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.

3 m

Attempt

Length Square Fraction to units Times as many Units method

69 P6.PA.JC.17111310

Level 3
Each figure is made up of a number of identical sticks of 1-cm length.

Find the perimeter of Figure 50.
Find the number of sticks in Figure 100.
Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.

4 m

Attempt

Equal intervals Area Perimeter

70 P6.AP.TL.17090771

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?