Questions

From Worst to Best

51 P6.AP.TL.17090716

Level 2
The circles are not drawn to scale. The small circle is with radius a and the big circle is with radius A. The ratio of a to A is 4 : 7. If the area of the small circle is 169π cm², find A. Express the answer in mixed number.

2 m

Attempt

52 P6.RA.NK.21060201

Level 2 PSLE
One box of 15 apples cost $8 each. Three friends shared the cost of 60 apples in the ratio 1 : 2 : 5. What was the cost for the smallest share?

2 m

Attempt

Ratio to units Min-max Units method

53 P6.RD.TL.17042445

Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?

3 m

Attempt

Ratio to units Finding percent Percent to units Area perimeter Repeated identity Units table

54 P6.RD.TL.16010107

Level 3
At a stall, the ratio of watermelons to coconuts was 8 : 13. After Kate bought two-thirds of the coconuts, there was a total of 111 watermelons and coconuts left at the stall. How many fruits were there at first?

3 m

Video Attempt

Fraction to units Ratio to units Unchanged quantity Units table Units manipulation

55 P6.RD.TL.16010108

Level 3
The amount of Isabelle's salary to Sarah's salary is 2 : 9. If Isabelle spends ³₅ of her salary, she will have $902 less than Sarah. How much salary does Sarah have?

3 m

Attempt

Fraction to units Ratio to units Money More than or less than Unchanged quantity Units table Units manipulation

56 P6.RD.TL.16010106

Level 3
There were some pencils in Box A and Box B. After Carl transferred ³₄ of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.

3 m

Attempt

Fraction of a set Fraction to units Ratio to units Internal transfer Unchanged total Units table Units manipulation

57 P6.RD.JC.16010108

Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is ³₇ of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?

3 m

Attempt

Fraction of a whole Ratio to units Area perimeter Square Overlapping area Unchanged total Units table

58 P6.RA.TL.16010134

Level 3
Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?

3 m

Video Attempt

[Ratio to units Money Repeated identity Model Units method

59 P6.RD.TL.17042603

Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form ¹₂ of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.

3 m

Attempt

Fraction to units Ratio to units Area perimeter Square Times as many Unchanged total Units table Units manipulation

60 P6.RA.NK.17082801

Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm² , what is the area of the rectangle WXYZ?