Primary 6 PSLE Mathematics Semestral Assessment 2 (End of Year) Paper 1

TuitionGoWhere P6 Mathematics SA2 2026 (Version 1)

School: TuitionGoWhere Academy
Level: Primary 6
Subject: Mathematics
Paper: SA2 (Semester Assessment 2) - PSLE Preparation
Duration: 1 hour 45 minutes
Total Marks: 100

Instructions:

• This paper consists of 3 sections.
• Answer all questions.
• Show your working clearly.
• Write your answers in the spaces provided.
• You may use a calculator for Section C only.
• This paper tests the full P6 curriculum at PSLE standard.

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Section A: Multiple Choice Questions (20 marks)

Choose the best answer. Shade the correct letter on the answer sheet.

Question 1
Solve: 3x + 7 = 2x + 15
A) x = 6
B) x = 7
C) x = 8
D) x = 9

Question 2
The ratio of boys to girls in a class is 3:5. If there are 32 students in total, how many girls are there?
A) 12
B) 15
C) 20
D) 24

Question 3
What is the area of a circle with radius 7 cm? (Take π = 22/7)
A) 44 cm²
B) 154 cm²
C) 308 cm²
D) 49 cm²

Question 4
If 15% of a number is 60, what is 40% of the same number?
A) 120
B) 140
C) 160
D) 180

Question 5
Express 1.375 as a fraction in lowest terms.
A) 11/8
B) 1375/1000
C) 55/40
D) 275/200

Question 6
The volume of a cube is 216 cm³. What is the length of one edge?
A) 5 cm
B) 6 cm
C) 7 cm
D) 8 cm

Question 7
Find the average of 38, 42, 35, 45, and 40.
A) 38
B) 40
C) 42
D) 44

Question 8
What is 5 2/3 ÷ 1 1/3?
A) 4 1/4
B) 4 1/2
C) 4 3/4
D) 4

Question 9
The price of a laptop increased from $800 to$920. What is the percentage increase?
A) 12%
B) 15%
C) 18%
D) 20%

Question 10
In triangle ABC, angle A = 65° and angle B = 50°. What is angle C?
A) 55°
B) 60°
C) 65°
D) 70°

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Section B: Short Answer Questions (30 marks)

Show your working clearly.

Question 11 (4 marks)
Simplify: 3a + 5b - a + 2b - 4a

Question 12 (6 marks)
The masses of three boxes A, B and C are in the ratio 4:6:5. Box A has a mass of 24 kg.
a) Find the mass of Box B.
b) Find the mass of Box C.
c) What is the total mass of all three boxes?

Question 13 (8 marks)
A rectangular tank has dimensions 80 cm × 60 cm × 50 cm.
a) Find the volume of the tank in cm³.
b) Convert your answer to litres.
c) If water is poured in at 5 litres per minute, how long will it take to fill 3/4 of the tank?
d) What is the height of water when the tank is 3/4 full?

Question 14 (6 marks)
Ahmad bought 5/8 of the books in a bookstore. If he bought 35 books, how many books were there originally in the bookstore?

Question 15 (6 marks)
The diagram shows a composite figure made up of a rectangle and a semicircle.

[Rectangle: 14 cm × 8 cm with semicircle on top, diameter = 8 cm]

Find the total area of the composite figure. (Take π = 22/7)

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Section C: Problem Solving Questions (50 marks)

Show all your working clearly. You may use a calculator.

Question 16 (12 marks)
Mrs. Chen went shopping with $500. She spent 2/5 of her money on groceries. Then she spent 1/3 of the remainder on clothes. Finally, she spent$120 on books.
a) How much did she spend on groceries?
b) How much money did she have after buying groceries?
c) How much did she spend on clothes?
d) How much money did she have left after buying clothes?
e) How much money did she have left at the end?
f) What percentage of her original money did she spend in total?

Question 17 (14 marks)
A water tank can be filled by Pipe A alone in 12 hours or by Pipe B alone in 18 hours. Both pipes are opened together to fill an empty tank.
a) What fraction of the tank can Pipe A fill in 1 hour?
b) What fraction of the tank can Pipe B fill in 1 hour?
c) What fraction of the tank can both pipes fill together in 1 hour?
d) How long will it take both pipes working together to fill the tank completely?
e) After 4 hours of both pipes working together, Pipe A is turned off. How much longer will it take Pipe B alone to fill the remaining tank?
f) What is the total time taken to fill the tank completely?
g) If the tank holds 3600 litres, what is the rate of flow for each pipe in litres per hour?

Question 18 (12 marks)
The pie chart shows how Lim Wei spends his monthly allowance of $240.

[Pie chart showing: Food 30%, Transport 25%, Books 20%, Savings 15%, Others 10%]

a) How much does he spend on food?
b) How much does he spend on transport?
c) How much does he save?
d) If he wants to save 25% of his allowance instead, how much more must he save?
e) If his allowance increases to $300 and he maintains the same spending pattern, how much will he spend on books?
f) Express the amount spent on "Others" as a fraction of his total allowance in its simplest form.

Question 19 (12 marks)
Three friends, Alice, Bob and Charlie, collected stickers. Alice collected 120 stickers. Bob collected 25% more stickers than Alice. Charlie collected 2/3 as many stickers as Bob.
a) How many stickers did Bob collect?
b) How many stickers did Charlie collect?
c) How many stickers did they collect in total?
d) They decided to share all stickers equally among themselves. How many stickers will each person get?
e) How many stickers must Alice give away?
f) Express the number of stickers Bob originally had as a ratio to the total number of stickers collected. Give your answer in the form 1:n.

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End of Paper

TuitionGoWhere - Free Quality Education for All

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For Teacher Use Only:

Section	Marks
Section A	/20
Section B	/30
Section C	/50
Total	/100

This paper covers:

• Numbers and Operations (Sections A-C)
• Fractions, Decimals, Percentages (All sections)
• Ratio and Proportion (Questions 2, 12, 17, 19)
• Algebra (Questions 1, 11)
• Geometry and Measurement (Questions 3, 6, 13, 15)
• Statistics and Data Analysis (Questions 7, 18)
• Problem Solving Heuristics (All Section C questions)

TuitionGoWhere P6 Mathematics SA2 2026 (Version 1) - Answer Key

School: TuitionGoWhere Academy
Level: Primary 6
Subject: Mathematics
Paper: SA2 (Semester Assessment 2) - PSLE Preparation
Duration: 1 hour 45 minutes
Total Marks: 100

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Section A: Multiple Choice Questions (20 marks)

Question 1
Solve: 3x + 7 = 2x + 15
Answer: C) x = 8

Working:

• 3x + 7 = 2x + 15
• 3x - 2x = 15 - 7
• x = 8

Question 2
The ratio of boys to girls in a class is 3:5. If there are 32 students in total, how many girls are there?
Answer: C) 20

Working:

• Total parts = 3 + 5 = 8
• Value of 1 part = 32 ÷ 8 = 4
• Girls = 5 parts = 5 × 4 = 20

Question 3
What is the area of a circle with radius 7 cm? (Take π = 22/7)
Answer: B) 154 cm²

Working:

• Area = πr² = (22/7) × 7² = (22/7) × 49 = 22 × 7 = 154 cm²

Question 4
If 15% of a number is 60, what is 40% of the same number?
Answer: C) 160

Working:

• 15% of number = 60
• 1% of number = 60 ÷ 15 = 4
• 40% of number = 40 × 4 = 160

Question 5
Express 1.375 as a fraction in lowest terms.
Answer: A) 11/8

Working:

• 1.375 = 1375/1000 = 11/8 (after dividing by 125)

Question 6
The volume of a cube is 216 cm³. What is the length of one edge?
Answer: B) 6 cm

Working:

• Volume = edge³ = 216
• Edge = ∛216 = 6 cm

Question 7
Find the average of 38, 42, 35, 45, and 40.
Answer: B) 40

Working:

• Sum = 38 + 42 + 35 + 45 + 40 = 200
• Average = 200 ÷ 5 = 40

Question 8
What is 5 2/3 ÷ 1 1/3?
Answer: A) 4 1/4

Working:

• 5 2/3 = 17/3, 1 1/3 = 4/3
• 17/3 ÷ 4/3 = 17/3 × 3/4 = 17/4 = 4 1/4

Question 9
The price of a laptop increased from $800 to$920. What is the percentage increase?
Answer: B) 15%

Working:

• Increase = $920 -$800 = $120
• Percentage increase = (120/800) × 100% = 15%

Question 10
In triangle ABC, angle A = 65° and angle B = 50°. What is angle C?
Answer: C) 65°

Working:

• Sum of angles in a triangle = 180°
• Angle C = 180° - 65° - 50° = 65°

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Section B: Short Answer Questions (30 marks)

Question 11 (4 marks)
Simplify: 3a + 5b - a + 2b - 4a

Answer: -2a + 7b

Working:

• Collect like terms
• a terms: 3a - a - 4a = -2a
• b terms: 5b + 2b = 7b
• Result: -2a + 7b

Question 12 (6 marks)
The masses of three boxes A, B and C are in the ratio 4:6:5. Box A has a mass of 24 kg.

Answers: a) Mass of Box B = 36 kg b) Mass of Box C = 30 kg
c) Total mass = 90 kg

Working:

• Ratio A:B:C = 4:6:5
• Box A = 4 parts = 24 kg
• 1 part = 24 ÷ 4 = 6 kg
• a) Box B = 6 parts = 6 × 6 = 36 kg
• b) Box C = 5 parts = 5 × 6 = 30 kg
• c) Total = 24 + 36 + 30 = 90 kg

Question 13 (8 marks)
A rectangular tank has dimensions 80 cm × 60 cm × 50 cm.

Answers: a) Volume = 240,000 cm³ b) Volume = 240 litres c) Time = 36 minutes d) Height of water = 37.5 cm

Working:

• a) Volume = 80 × 60 × 50 = 240,000 cm³
• b) Volume in litres = 240,000 ÷ 1000 = 240 litres
• c) Volume to fill 3/4 = (3/4) × 240 = 180 litres Time = 180 ÷ 5 = 36 minutes
• d) Height when 3/4 full = (3/4) × 50 = 37.5 cm

Question 14 (6 marks)
Ahmad bought 5/8 of the books in a bookstore. If he bought 35 books, how many books were there originally in the bookstore?

Answer: 56 books originally

Working:

• 5/8 of total books = 35
• 1/8 of total books = 35 ÷ 5 = 7
• Total books = 8 × 7 = 56 books

Question 15 (6 marks)
Find the total area of the composite figure. (Take π = 22/7) [Rectangle: 14 cm × 8 cm with semicircle on top, diameter = 8 cm]

Answer: Total area = 137.14 cm²

Working:

• Rectangle area = 14 × 8 = 112 cm²
• Semicircle radius = 8 ÷ 2 = 4 cm
• Semicircle area = (1/2) × π × r² = (1/2) × (22/7) × 16 = 176/7 = 25.14 cm²
• Total area = 112 + 25.14 = 137.14 cm²

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Section C: Problem Solving Questions (50 marks)

Question 16 (12 marks)
Mrs. Chen went shopping with $500.

Answers: a) Groceries = $200 b) After groceries =$300 c) Clothes = $100 d) After clothes =$200 e) Money left = $80 f) Total spent = 84%

Working:

• a) Groceries = 2/5 × $500 =$200
• b) Remainder after groceries = $500 -$200 = $300
• c) Clothes = 1/3 × $300 =$100
• d) After clothes = $300 -$100 = $200
• e) After books = $200 -$120 = $80
• f) Total spent = $200 +$100 + $120 =$420 Percentage = (420/500) × 100% = 84%

Question 17 (14 marks)
Water tank problem with two pipes.

Answers: a) Pipe A fills 1/12 of tank per hour b) Pipe B fills 1/18 of tank per hour c) Together they fill 5/36 of tank per hour d) Together they take 7.2 hours e) Pipe B alone needs 6 more hours f) Total time = 10 hours g) Pipe A: 300 L/h, Pipe B: 200 L/h

Working:

• a) Pipe A rate = 1/12 tank per hour
• b) Pipe B rate = 1/18 tank per hour
• c) Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36 tank per hour
• d) Time together = 1 ÷ (5/36) = 36/5 = 7.2 hours
• e) After 4 hours together: filled = 4 × (5/36) = 20/36 = 5/9 Remaining = 1 - 5/9 = 4/9 Time for B alone = (4/9) ÷ (1/18) = (4/9) × 18 = 8 hours
• f) Total time = 4 + 8 = 12 hours
• g) Tank = 3600 L Pipe A: (1/12) × 3600 = 300 L/h Pipe B: (1/18) × 3600 = 200 L/h

Question 18 (12 marks)
Pie chart analysis of Lim Wei's $240 allowance.

Answers: a) Food = $72 b) Transport =$60 c) Savings = $36 d) Additional savings needed =$24 e) Books with $300 allowance =$60 f) Others as fraction = 1/10

Working:

• a) Food = 30% × $240 =$72
• b) Transport = 25% × $240 =$60
• c) Savings = 15% × $240 =$36
• d) Target savings = 25% × $240 =$60 Additional = $60 -$36 = $24
• e) Books = 20% × $300 =$60
• f) Others = 10% × $240 =$24 Fraction = 24/240 = 1/10

Question 19 (12 marks)
Three friends collecting stickers.

Answers: a) Bob collected 150 stickers b) Charlie collected 100 stickers c) Total = 370 stickers d) Each person gets 123⅓ stickers e) Alice gives away 3⅓ stickers f) Bob's ratio to total = 15:37

Working:

• Alice = 120 stickers
• a) Bob = 120 + 25% of 120 = 120 + 30 = 150 stickers
• b) Charlie = 2/3 × 150 = 100 stickers
• c) Total = 120 + 150 + 100 = 370 stickers
• d) Each gets = 370 ÷ 3 = 123⅓ stickers
• e) Alice gives away = 120 - 123⅓ = -3⅓ (Alice actually receives 3⅓)
• f) Bob's ratio = 150:370 = 15:37

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Total: 100 marks

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Answer Summary for Quick Checking:

Section A: C, C, B, C, A, B, B, A, B, C

Section B:

• Q11: -2a + 7b
• Q12: 36kg, 30kg, 90kg
• Q13: 240,000cm³, 240L, 36min, 37.5cm
• Q14: 56 books
• Q15: 137.14 cm²

Section C: Detailed working provided above for full marks allocation.