Questions

From Worst to Best

101 P6.FR.TL.16010103

Level 2
Jack had ²₅ the number of stamps David had at first. After David gave Jack 45 of his stamps, Jack had ³₅ the number of stamps David had. How many stamps did Jack have at first?

2 m

Attempt

102 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

103 P6.PC.TL.16010130

Level 3
Diana baked curry, sardine and chicken buns. She baked 60 curry buns. 20% of her buns were chicken. She baked 12 more sardine buns than chicken buns. How many curry buns and sardine buns did Diana bake altogether?

3 m

Attempt

Percent of a set Percent to units More than or less than Model & units table

104 P6.FR.TL.16010132

Level 2
Zoe paid a total of $72 for an eraser, a ruler and a pen. The eraser cost ²₇ of the total cost of the ruler and the pen. The pen cost ¹₅ of the total cost of the eraser and the ruler. Find the total cost of the pen and the eraser.

2 m

Attempt

Fraction to units Money Unchanged total Units table Units manipulation

105 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

106 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?

3 m

Video Attempt

Area Perimeter Rectangle Ratio to units Repeated identity Units table

107 P6.FR.JO.21042221

Level 2 PSLE
Pupils in a school are put into two groups for an excursion. ²₅ of the pupils are in Group A and the rest in Group B. ¹₄ of the pupils in Group A are boys. In the school, ³₁₀ of the pupils are boys. What fraction of the pupils in Group B are boys?

2 m

Attempt

Fraction of a set Fraction to units Combined repeated identity Unchanged total Units table Units manipulation

108 P6.RD.TL.16010116

Level 3
Yvonne baked 140 cupcakes. ³₅ of the cupcakes were vanilla cupcakes. The rest were milo cupcakes. She gave an equal number of vanilla cupcakes and milo cupcakes away and had 5 times as many vanilla cupcakes as milo cupcakes left. How many cupcakes did she give away?

3 m

Attempt

Fraction to units Times as many Unchanged difference Units table

109 P6.RA.TL.17042609

Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm², what is the area of Square Z?

3 m

Attempt

Ratio to units Area Perimeter Unchanged total Units table

110 P6.RD.TL.16010120

Level 3
Lisa's and Natalie's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's gift equally. Lisa's remaining savings was ¹₄ as much as Natalie's savings. What percentage of her savings did Lisa spend? Correct the answer to 1 decimal place.

3 m

Attempt