Questions

From Best to Worst

681 P6.FR.TL.16010137

Level 3
Ruth, Queenie and Cathy were playing with beads. Ruth started with 72 beads and then she gained ¹₃ more beads from Queenie. In the second game, Ruth lost ³₈ of her original number of beads to Cathy. Queenie lost as many beads as Ruth to Cathy. In the final game, Ruth gained ¹₂ of her original number of beads from Queenie. All of them ended up with the same number of beads.

How many beads did Ruth have in the end?
How many beads did Queenie have at first?

5 m

Video Attempt

682 P6.FR.TL.16010131

Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave ³₄ of whatever she had then to Diana. Finally, Diana gave ²₇ of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?

5 m

Video Attempt

Fraction to units Equal stage after Unchanged total Working backwards Units table Units & parts & boxes Substitution

683 P6.FR.JO.21042215

Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is ¹₁₀ the area of the square while the area of B is ¹₆ the area of the square.

The total areas of A and B is 240 cm². What is the length of each side of the square?
What fraction of the square is Area of D?

5 m

Attempt

Fraction of a whole F Simplest form F Addition & subtraction Fraction to units Length Area Perimeter Square & square root Units method

684 P6.FR.TL.16010126

Level 3
There were 801 students at a cinema at first. After ²₇ of the girls and ¹₂ of the boys left, there were still 103 more boys than girls at the cinema. How many boys were there at first?

5 m

Attempt

Fraction to units More than or less than All change Units & parts Elimination

685 P6.AP.JC.22040804

TRY FOR FREE

Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.

The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
What is the area of the shaded part?

4 m

Attempt

Rectangle Rectilinear figure Triangle Composite figure perimeter Composite figure area More than or less than Units & parts Elimination

686 P6.AN.NK.17051743

Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find

∠x
∠y.

5 m

Attempt

Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination

687 P6.AP.TL.17090842

Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = ²²₇)

5 m

Attempt

Circumference Ratio to units Distance apart Equal stage Units method

688 P6.AP.NK.21060419

Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.

What is the radius of each quarter circle?
What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.

5 m

Attempt

Length Rectangle Composite figure perimeter Quarter circle Ratio to units D Round off

689 P6.AP.TL.17090847

Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is ³₈ of AG. Find the total shaded area.