1. There are 48 students in a class and 30 of them are girls.
What is the ratio of the number of boys to the number of girls?
 

 

📖 REMINDER: First find the number of boys, then express the ratio in simplest form.

 

WA2,RSPS,2024,TestRSPS,Ratio
2. The perimeter of square P is 40 cm. The side length of square Q is 3 times the side length of square P.
Find the perimeter of square Q. 

 

 

📖 REMINDER: First find the side length of square P from its perimeter. Then find the side length of square Q before calculating its perimeter.

 

WA2,RSPS,2024,TestRSPS,Ratio and Measurement,Primary 6
3. Liam had $200. He spent $120 on a jacket and 15% of his remaining money on a hat.
What percentage of his money did Liam spend in total?
 

 

📖 REMINDER: First calculate the remaining money after the first purchase, then find the second purchase amount before calculating the total spent percentage.

WA2,RSPS,2024,TestRSPS,Percentage,Primary 6

4. (a) Express 0.75 as a percentage.

 

 

Answer: (a)   %

 

 

(b) 300% of a number is 18. What is the number?

 

 

Answer: (b)

 

 

📖 REMINDER: Convert decimals to percentages by multiplying by 100. For part (b), remember that 300% means 3 times the original number.

 

 

WA2,RSPS,2024,TestRSPS,Percentage,Primary 6

5. The figure below is made up of 16 identical squares(a) What is the ratio of the number of shaded squares to the number of unshaded squares to the total number of squares? Leave your answer in its simplest form. 

 

Answer: (a) {{{3:5:8}}} 

 

(b) How many more squares must be shaded so that 75% of the figure is shaded? 

 

Answer: (b) {{{6}}}  more squares 

 

📖 REMINDER: First count the shaded and unshaded squares. For part (b), calculate how many total shaded squares are needed for 75% before finding the difference.

 

 
WA2,RSPS,2024,TestRSPS,Ratio and Percentage,Primary 6

6. (a) Mia grew 12 cm taller from Grade 4 to Grade 5. This was an 8% increase in her height.
How tall was Mia when she was in Grade 5?

 

 

Answer: (a)   cm

 

 

(b) Mia was 171 cm in Grade 6. What was the percentage increase in her height from Grade 4 to Grade 6?

 

 

Answer: (b)   %

 

 

📖 REMINDER: First find the original height using the percentage increase, then calculate the final percentage change.

 

 

WA2,RSPS,2024,TestRSPS,Percentage,Primary 6

7. Mrs. Lim used the recipe below to make muffins.

 

Recipe for 8 muffins
240 g flour
180 g butter
80 g sugar

 

Answer:   %

 

 

📖 REMINDER: Determine the limiting ingredient first by checking how many batches each ingredient can make.

 

 

WA2,RSPS,2024,TestRSPS,Ratio and Percentage,Primary 6

8. There are some beads in boxes M, N, and P. 50% of the number of beads in box M is equal to one-fifth
of the number of beads in box N. The ratio of the number of beads in box P to the number of beads in
box M is 3 : 10. Express the number of beads in box P as a fraction of the number of beads in box N.

 

 

Answer:

 

 

📖 REMINDER: Translate each condition into an equation and express all in terms of one variable.

 

 

WA2,RSPS,2024,TestRSPS,Ratio

9. (a) Mrs Lee prepared some strawberries and kiwi slices to decorate some tarts.
The ratio of the number of strawberries prepared to the number of kiwi slices prepared was 5 : 12.
Each tart was decorated with 1 strawberry and 2 kiwi slices. There were 8 kiwi slices left when all the
strawberries were used.

 

(a) What is the ratio of the number of kiwi slices used to the number of kiwi slices left?

 

Answer: (a)

 

 

(b) How many tarts were there?

 

Answer: (b)   tarts

 

 

📖 REMINDER: Let the number of tarts be n. Express fruits prepared in terms of n using the usage and leftover conditions.

 

 

WA2,RSPS,2024,TestRSPS,Ratio and Algebra,Primary 6

10. (a) Liam bought a calculator and a textbook during a sale from a shop. He paid a total of $9 for
both items after discount. The usual price of the textbook is $8. There was a 25% storewide discount.
Find the price of the calculator after the discount.

 

Answer: (a) $ 

 

 

(b) After the sales, the number of calculators in the shop decreased by 40% and the number of textbooks
decreased by 10%. As a result, the total number of calculators and textbooks in the shop decreased by 7.
Each statement below is either true, false or not possible to tell from the information given above.

 

Statement 1: There were equal number of calculators and textbooks in the shop at first.

 

Answer: 

 

Statement 2: There were equal number of calculators and textbooks sold during the sales.

 

Answer: 

 

📖 REMINDER: For (a), apply the percentage discount to find discounted prices. 

 

 

WA2,RSPS,2024,TestRSPS,Percentage and Algebra,Primary 6

11. The radius of a quarter circle (quadrant) is 7 cm. Find the perimeter of the quadrant. (Take π = ²²⁄₇)

📖 REMINDER: Perimeter of a quadrant = curved part (¼ of circumference) + two straight radii.

 

WA2,MBSP,2024,TestMBSPWA22024,Measurement (Perimeter),Primary 5
12. The perimeter of Square P is 48 cm. The side length of Square Q is 3 times the side length of Square P. Find the perimeter of Square Q. 

 

📖 REMINDER: First find the side length of Square P from its perimeter. 

 

WA2,MBSP,2024,TestMBSPWA22024,Measurement (Perimeter),Primary 5
13. The figure shows two circles. The ratio of the diameter of the small shaded circle to the diameter of the big circle is 3 : 5.
Find the ratio of the area of the unshaded part to the area of the shaded part. 

 

📖 REMINDER: If the ratio of diameters (or radii) is a : b, the ratio of their areas is a² : b². 

 

WA2,MBSP,2024,TestMBSPWA22024,Ratio & Area,Primary 5

14. Ali used three identical right-angled triangles to form the figure shown below . The three triangles are joined corner-to-corner along their hypotenuses, which form a straight line segment AB = 30 cm. The length of the vertical side CD = 6 cm. The total perimeter of the figure is 72 cm.
Find the area of one triangle.

 

 

Answer:

 

 

📖 REMINDER: The three hypotenuses add up to AB. The vertical sides are each equal to CD.

 

 

WA2,MBSP,2024,TestMBSPWA22024,Geometry,Primary 5

15. John cut out three identical semicircles from a rectangular piece of paper as shown in Figure 1. The diameter of each semicircle is 10 cm. He then arranged the semicircles to form a pattern in Figure 2, where each semicircle overlaps the next one by 2 cm along the straight edge. (Take π = 3.14)

 

 

(a) Find the total area of the three semicircles.

Answer: (a)    cm²

(b) Find the area of the remaining piece of rectangular paper in Figure 1.

Answer: (b)   cm²

(c) Find the perimeter of Figure 2.

Answer: (c)    cm

 

 

📖 REMINDER: Area of circle = π × radius². 

 

 

WA2,MBSP,2024,TestMBSPWA22024,Geometry,Primary 5


 

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