Primary 6 Maths Weighted Assessment 2 (WA2) – Test 5

10. Find the value of ³⁄₇ ÷ 6. Express your answer as a fraction in its simplest form.

Answer:

📖 REMINDER: Dividing by a whole number is the same as multiplying by its reciprocal.

WA2,RSPS,2024,TestRSPS,Fractions,Primary 6

11. This month, Lisa sold 150 more laptops than she sold the previous month.
This was a 30% increase from the number of laptops she had sold the previous month.
How many laptops did she sell this month?

Answer:   laptops

📖 REMINDER: Let last month's sales be a variable. The increase in quantity equals the given percentage of last month's sales.

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

12. Students were asked to choose their favourite subject.
The bar graph below shows the choices made by the students.

What fraction of students chose Science as their favourite subject?
Express the fraction in its simplest form.

Answer:

📖 REMINDER: Find the total number of students first, then form the fraction for Science and simplify.

WA2,RSPS,2024,TestRSPS,Data Analysis,Primary 5

13. The ratio of the number of stamps that Emma had to the number of stamps that Liam had was 3 : 8.
When Emma bought 36 more stamps, the ratio of the number of stamps that Emma had to the number
of stamps Liam had became 3 : 2. How many stamps did Liam have?

Answer:   stamps

📖 REMINDER: Set up equations based on the original and new ratios, then solve for the unknown quantity.

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

14. (a) An empty container weighs 450 g. When it is completely filled with water, its mass is 1230 g.
What is the capacity of the container in millilitres? (Assume 1 ml of water has a mass of 1 g)

Answer: (a)   ml

(b) Mr. Li filled ³⁄₈ of the same container with syrup. The mass of the container with syrup became 1050 g. What is the mass of 1 ml of syrup in grams?

Answer: (b)   g

📖 REMINDER: For part (b), first find the mass of syrup only, then divide by its volume to find density.

WA2,RSYPS,2024,TestRSYPS,Measurement,Primary 5

15. (a) Mark had $24 more than Luke. When Luke gave Mark $12, Mark had twice as much money as Luke.
How much money did Luke have at first?

Answer: (a) $ 

(b) Using your answer from (a), how much money did Mark have at first?

Answer: (b) $

📖 REMINDER: Set up an equation for the money transfer and solve for the unknown.

WA2,RSYPS,2024,TestRSYPS,Algebra,Primary 5

16. (a) A small rectangular box has dimensions 4 cm by 5 cm by 6 cm. It is completely filled with identical 1 cm cubes.
How many cubes are there?

Answer: (a)   cubes

(b) A larger rectangular box has length, breadth, and height each twice that of the smaller box.
How many of the same 1 cm cubes can exactly fill the larger box?

Answer: (b) cubes

📖 REMINDER: The number of cubes needed is the volume in cm³ if cubes are 1 cm³. For part (b), find the new dimensions first.

WA2,RSYPS,2024,TestRSYPS,Measurement,Primary 6

17. (a) The ratio of James’ present age to Noah’s present age is 5 : 8. 9 years ago,
the ratio of James’ age to Noah’s age was 2 : 5. What is Noah’s present age?

Answer: (a) years old

(b) In how many years from now will the ratio of their ages be 3 : 4?

Answer: (b)   years

📖 REMINDER: Use a variable for present ages, set up equations for past and future ratios.

WA2,RSYPS,2024,TestRSYPS,Ratio & Algebra,Primary 6

18. (a) Tom completed a race in 150 seconds. He was 40 seconds slower than Sam.
How many seconds did Sam take to complete the race?

Answer: (a)   s

(b) Leo was 25 seconds faster than Sam. How long, in minutes and seconds, did Leo take to complete the race?

Answer: (b)   minute    seconds

📖 REMINDER: “Slower than” means more time, “faster than” means less time.

WA2,RSYPS,2024,TestRSYPS,Speed & Time,Primary 4

19. (a) Sam can bake (2n + 5) cookies in one hour. Tina can bake 3n more cookies than Sam in one hour.
Together, Sam and Tina can bake 73 cookies in one hour. Find the value of n.

Answer: (a)

(b) How many cookies can Tina bake in one hour?

Answer: (b)   cookies

📖 REMINDER: Set up expressions for each person’s output, then form an equation for the total.

WA2,RSYPS,2024,TestRSYPS,Algebra,Primary 6

20. (a) Tom parked his car at a car-park from 10:15 am to 3:45 pm. The parking rates are shown below.
How much did he have to pay for parking?

Answer: (a) $ 

(b) If Tom left 1 hour later, how much more would he have to pay?

Answer: (b) $ 

📖 REMINDER: Calculate total parking duration first, then apply the rate structure step by step.

WA2,RSYPS,2024,TestRSYPS,Word Problem,Primary 5

21. (a) The ratio of the number of adults to the number of children at a movie was 4 : 5.
The price of one adult ticket was $38 while the price of a child ticket was $20.
The total amount of money collected from the sale of tickets was $5040. How many adults attended the movie?

Answer: (a)   adults

(b) How many more children than adults attended the movie?

Answer: (b) children

📖 REMINDER: Set up ratio in terms of a variable, form an equation for total revenue, then solve.

WA2,RSYPS,2024,TestRSYPS,Ratio & Money,Primary 6

22. (a) Mr. Tan spent ¹⁄₈ of his money on 4 hats and 2 bags. Each bag cost three times as much as each hat.
He then spent ³⁄₇ of his remaining money on a belt. He spent $52 more on the belt than on the 4 hats.
How much money did Mr. Tan have at first?

Answer: (a)  $ 

(b) How much did one bag cost?

Answer: (b)  $ 

📖 REMINDER: Let the cost of one hat be the variable. Express all costs and remaining money in terms of that variable.

WA2,RSYPS,2024,TestRSYPS,Fractions & Money,Primary 6

23. (a) Lisa had some stickers. She gave ³⁄₁₀ of her stickers to her brother. Her friend then took ¹⁄₄
of her remaining stickers and an additional 12 stickers. Lisa was then left with 30 stickers.
How many stickers did Lisa have at first?

Answer: (a)   stickers

(b) How many stickers did her brother receive?

Answer: (b)   stickers

📖 REMINDER: Work step by step from the final amount left to find the original total.

WA2,RSYPS,2024,TestRSYPS,Fractions,Primary 6