Questions

From Worst to Best

116 P5.AN.NK.23012622

Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.

Find ∠a.
Find ∠c.

4 m

Attempt

Rectangle Triangle Right angle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure Ratio to units

117 P5.AP.JM.17083225

Level 3
In the figure, CEGH is a quadrilateral with an area of 110 cm². The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.

4 m

Attempt

Composite figure area Ratio to units Units method

118 P5.DA.JM.17083193

Level 3
Jane was attempting to read a book within a week. On Monday, she had read ³₇ of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.

5 m

Attempt

Average Time Fraction of a whole Ratio to units Unchanged total Units method

119 P5.PC.JM.17083151

Level 3
At first, the ratio of the number of boys to the number of girls at a school playground was 2 : 5. When 48 girls and some boys entered the playground, the number of girls increased by 12% and the total number of children at the playground increased by 20%.

How many boys were there at first?
What percentage of the children at the playground were boys in the end? Express your answer as a mixed number.

5 m

Attempt

Finding percent Percent of a set Percent change by Percent of different bases Mixed numbers Ratio to units All change Decimal units

120 P5.AP.JM.17083248

Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. ³₁₀ of Rectangle A and ¹₆ of Rectangle C are shaded. The shaded area is 36 cm². Find the total unshaded area of the figure.