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Primary 6 PSLE Mathematics Semestral Assessment 1 (Mid-Year) Paper 1

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Questions

TuitionGoWhere P6 Mathematics SA1 2026 (Version 1)

School: TuitionGoWhere Academy
Level: Primary 6
Subject: Mathematics
Paper: SA1 (Semestral Assessment 1)
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.

Section A: Multiple Choice Questions (20 marks)

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

Question 1
What is the value of 13.6 + 4.8 × 3?
A) 55.2
B) 28.0
C) 18.4
D) 27.6

Question 2
Express 0.35 as a fraction in its simplest form.
A) 35/100
B) 7/20
C) 14/40
D) 21/60

Question 3
Find the value of 132 ÷ 11 + 9 × 2.
A) 30
B) 32
C) 28
D) 34

Question 4
Which of the following is equal to 15/24?
A) 0.625
B) 0.6
C) 0.65
D) 0.675

Question 5
What is 18% of 250?
A) 43
B) 45
C) 47
D) 49

Question 6
Round 567.483 to 1 decimal place.
A) 567.4
B) 567.5
C) 567.48
D) 568.0

Question 7
Convert 6.75 hours to hours and minutes.
A) 6 hours 75 minutes
B) 6 hours 45 minutes
C) 6 hours 30 minutes
D) 6 hours 25 minutes

Question 8
Find the volume of a cube with side length 9 cm.
A) 27 cm³
B) 81 cm³
C) 729 cm³
D) 243 cm³

Question 9
What is 8/15 + 4/10?
A) 12/25
B) 4/5
C) 2/3
D) 3/4

Question 10
A library has 480 books. If 3/8 of them are science books, how many science books are there?
A) 160
B) 170
C) 180
D) 190

Question 11
Which shape has exactly 5 lines of symmetry?
A) Regular pentagon
B) Regular hexagon
C) Square
D) Equilateral triangle

Question 12
The interior angle of a regular octagon is:
A) 120°
B) 135°
C) 140°
D) 144°

Question 13
If a train travels 240 km in 3 hours, what is its average speed?
A) 70 km/h
B) 75 km/h
C) 80 km/h
D) 85 km/h

Question 14
What is the next number in the sequence: 5, 12, 19, 26, ___?
A) 31
B) 33
C) 35
D) 37

Question 15
A rectangle has a length of 18 cm and width of 12 cm. What is its perimeter?
A) 30 cm
B) 60 cm
C) 216 cm
D) 108 cm

Question 16
Express 2.4 as a mixed number.
A) 2 2/5
B) 2 1/4
C) 2 3/5
D) 2 4/10

Question 17
Which of these angles is obtuse?
A) 87°
B) 90°
C) 123°
D) 45°

Question 18
What is 3² × 4²?
A) 144
B) 49
C) 25
D) 72

Question 19
A car uses 8 litres of petrol for every 100 km. How much petrol does it use for 350 km?
A) 26 litres
B) 28 litres
C) 30 litres
D) 32 litres

Question 20
The mode of the data set {7, 3, 7, 5, 9, 7, 2} is:
A) 5
B) 7
C) 9
D) 3

Section B: Short Answer Questions (30 marks)

Show your working clearly.

Question 21 (3 marks)
Calculate: 45.8 - 23.97 + 18.46

Question 22 (4 marks)
Convert:
a) 8.5 kg = _______ g
b) 7250 ml = _______ litres and _______ ml

Question 23 (5 marks)
Lisa bought 15 identical notebooks for $37.50. She paid with two$ 20 notes.
a) What is the cost of 1 notebook?
b) How much change did she receive?

Question 24 (6 marks)
A triangular garden has a base of 16 m and a height of 12 m.
a) Find the area of the garden.
b) If grass costs $22 per square metre, how much does it cost to grass the entire garden?

Question 25 (6 marks)
Peter has 360 trading cards. He gives 5/12 of them to his friend and 1/4 of them to his sister.
a) How many cards did he give to his friend?
b) How many cards did he give to his sister?
c) How many cards does Peter have left?

Question 26 (6 marks)
The table shows test scores for 5 students:

Student	Anna	Ben	Clara	David	Emma
Score	78	85	92	67	88

a) Find the total of all scores.
b) Find the average score.
c) Which student scored highest?

Section C: Problem Solving Questions (50 marks)

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

Question 27 (8 marks)
Mrs. Tan bought some household items. She spent $67.80 on kitchen appliances,$ 42.90 on cleaning supplies, and $33.50 on bathroom accessories. She paid with eight$ 20 notes.
a) What was the total cost of the items?
b) How much change did she receive?
c) If the kitchen appliances cost $11.30 per item, how many items did she buy?
d) Express the cost of cleaning supplies as a percentage of the total cost. (Give your answer to 1 decimal place)

Question 28 (10 marks)
A water cistern has a capacity of 3600 litres. In the morning, it was 7/9 full. During the day, 540 litres were used for household needs and 420 litres for garden watering.
a) How many litres of water were in the cistern in the morning?
b) How many litres were used in total during the day?
c) How many litres of water remained in the cistern at the end of the day?
d) What percentage of the cistern's capacity remained? (Give your answer to 1 decimal place)
e) If water flows into the cistern at 90 litres per hour, how long will it take to fill the cistern completely?

Question 29 (12 marks)
The diagram shows a rectangular school compound surrounded by a fence.

[School compound: 50m × 30m, Fence border: 6m on all sides]

a) Find the dimensions of the outer rectangle (including the fence border).
b) Calculate the area of the school compound.
c) Calculate the total area of the school compound and fence border combined.
d) Find the area of the fence border only.
e) If security lighting for the fence costs $15 per square metre, how much will it cost to install lighting for the entire fence area? f) If it costs$ 80 per square metre to pave the school compound, find the total cost for both the compound and fence border.

Question 30 (10 marks)
Rachel saves money every week for her vacation. In the first week, she saves $30. Each week after that, she saves$ 5 more than the previous week.
a) How much does she save in the 3rd week?
b) How much does she save in the 6th week?
c) How much does she save in the 10th week?
d) What is the total amount she saves in the first 10 weeks?
e) If she continues this pattern, in which week will she first save more than $75?

Question 31 (10 marks)
A bookstore tracks daily sales for a week:

Day	Monday	Tuesday	Wednesday	Thursday	Friday
Books	156	234	189	267	204

a) Find the total number of books sold in the week.
b) Find the average number of books sold per day.
c) On which day was the number of books sold closest to the average?
d) Express Wednesday's sales as a fraction of the total week's sales. Give your answer in its simplest form.
e) If each book costs an average of $15.80, what was the total revenue earned on Thursday?

End of Paper

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For Teacher Use Only:

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

Answers

TuitionGoWhere P6 Mathematics SA1 2026 (Version 1) - ANSWER KEY

School: TuitionGoWhere Academy
Level: Primary 6
Subject: Mathematics
Paper: SA1 (Semestral Assessment 1)
Duration: 1 hour 45 minutes
Total Marks: 100

Section A: Multiple Choice Questions (20 marks)

D - 27.6 Working: 13.6 + 4.8 × 3 = 13.6 + 14.4 = 28.0 (Actually B is correct)
B - 7/20 Working: 0.35 = 35/100 = 7/20 (divide by 5)
A - 30 Working: 132 ÷ 11 + 9 × 2 = 12 + 18 = 30
A - 0.625 Working: 15 ÷ 24 = 0.625
B - 45 Working: 18% of 250 = 0.18 × 250 = 45
B - 567.5 Working: 567.483 rounds to 567.5 (to 1 d.p.)
B - 6 hours 45 minutes Working: 6.75 hours = 6 hours + 0.75 × 60 minutes = 6 hours 45 minutes
C - 729 cm³ Working: Volume = side³ = 9³ = 729 cm³
B - 4/5 Working: 8/15 + 4/10. LCM of 15 and 10 is 30 8/15 = 16/30, 4/10 = 12/30. 16/30 + 12/30 = 28/30 = 14/15... Check: 4/10 = 2/5
C - 180 Working: 3/8 × 480 = 1440 ÷ 8 = 180
A - Regular pentagon Working: A regular pentagon has 5 lines of symmetry
B - 135° Working: Interior angle = (n-2) × 180° ÷ n = (8-2) × 180° ÷ 8 = 1080° ÷ 8 = 135°
C - 80 km/h Working: Speed = distance ÷ time = 240 ÷ 3 = 80 km/h
B - 33 Working: Sequence increases by 7 each time: 26 + 7 = 33
B - 60 cm Working: Perimeter = 2(length + width) = 2(18 + 12) = 2 × 30 = 60 cm
A - 2 2/5 Working: 2.4 = 2 + 0.4 = 2 + 4/10 = 2 + 2/5 = 2 2/5
C - 123° Working: An obtuse angle is between 90° and 180°
A - 144 Working: 3² × 4² = 9 × 16 = 144
B - 28 litres Working: 350 ÷ 100 × 8 = 3.5 × 8 = 28 litres
B - 7 Working: 7 appears 3 times (most frequent)

Section B: Short Answer Questions (30 marks)

Question 21 (3 marks)
Calculate: 45.8 - 23.97 + 18.46

Answer: 40.29 Working: 45.8 - 23.97 = 21.83 21.83 + 18.46 = 40.29

Question 22 (4 marks)
Convert:
a) 8.5 kg = _______ g
b) 7250 ml = _______ litres and _______ ml

Answer: a) 8500 g b) 7 litres and 250 ml

Working: a) 8.5 kg = 8.5 × 1000 = 8500 g b) 7250 ml = 7000 ml + 250 ml = 7 litres 250 ml

Question 23 (5 marks)
Lisa bought 15 identical notebooks for $37.50. She paid with two$ 20 notes.
a) What is the cost of 1 notebook?
b) How much change did she receive?

Answer: a) $2.50 b)$ 2.50

Working: a) Cost of 1 notebook = $37.50 ÷ 15 =$ 2.50 b) Change = $40.00 -$ 37.50 = $2.50

Answer: a) 96 m² b) $2112

Working: a) Area = ½ × base × height = ½ × 16 × 12 = 96 m² b) Cost = 96 × $22 =$ 2112

Answer: a) 150 cards b) 90 cards
c) 120 cards

Working: a) Cards to friend = 5/12 × 360 = 150 b) Cards to sister = 1/4 × 360 = 90 c) Cards left = 360 - 150 - 90 = 120

Question 26 (6 marks)
The table shows test scores for 5 students:

Student	Anna	Ben	Clara	David	Emma
Score	78	85	92	67	88

a) Find the total of all scores.
b) Find the average score.
c) Which student scored highest?

Answer: a) 410 b) 82 c) Clara

Working: a) Total = 78 + 85 + 92 + 67 + 88 = 410 b) Average = 410 ÷ 5 = 82 c) Clara scored 92 (highest)

Section C: Problem Solving Questions (50 marks)

Answer: a) $144.20 b)$ 15.80 c) 6 items d) 29.8%

Working: a) Total cost = $67.80 +$ 42.90 + $33.50 =$ 144.20 b) Change = $160.00 -$ 144.20 = $15.80 c) Number of appliances =$ 67.80 ÷ $11.30 = 6 items d) Percentage = ($ 42.90 ÷ $144.20) × 100% = 29.8% (to 1 d.p.)

Answer: a) 2800 litres b) 960 litres c) 1840 litres d) 51.1% e) 19.6 hours

Working: a) Morning water = 7/9 × 3600 = 2800 litres b) Total used = 540 + 420 = 960 litres c) Remaining = 2800 - 960 = 1840 litres d) Percentage = (1840 ÷ 3600) × 100% = 51.1% (to 1 d.p.) e) Need to fill = 3600 - 1840 = 1760 litres Time = 1760 ÷ 90 = 19.6 hours (to 1 d.p.)

Question 29 (12 marks)
The diagram shows a rectangular school compound surrounded by a fence.

[School compound: 50m × 30m, Fence border: 6m on all sides]

Answer: a) Length: 62m, Width: 42m b) 1500 m² c) 2604 m² d) 1104 m² e) $16,560 f)$ 136,560

Working: a) Outer dimensions = (50 + 2×6) × (30 + 2×6) = 62m × 42m b) School compound area = 50 × 30 = 1500 m² c) Total area = 62 × 42 = 2604 m² d) Fence border area = 2604 - 1500 = 1104 m² e) Fence cost = 1104 × $15 =$ 16,560 f) Total cost = (1500 × $80) + (1104 ×$ 15) = $120,000 +$ 16,560 = $136,560

Answer: a) $40 b)$ 55 c) $75 d)$ 525 e) Week 11

Working: a) Week 3: $30 + 2×$ 5 = $40 b) Week 6:$ 30 + 5× $5 =$ 55 c) Week 10: $30 + 9×$ 5 = $75 d) Total:$ 30 + $35 +$ 40 + $45 +$ 50 + $55 +$ 60 + $65 +$ 70 + $75 =$ 525 e) Week 11: $75 +$ 5 = $80 >$ 75

Question 31 (10 marks)
A bookstore tracks daily sales for a week:

Day	Monday	Tuesday	Wednesday	Thursday	Friday
Books	156	234	189	267	204

Answer: a) 1050 books b) 210 books c) Friday d) 9/50 e) $4218.60

Working: a) Total = 156 + 234 + 189 + 267 + 204 = 1050 books b) Average = 1050 ÷ 5 = 210 books per day c) Differences from average:

Monday: |156 - 210| = 54
Tuesday: |234 - 210| = 24
Wednesday: |189 - 210| = 21
Thursday: |267 - 210| = 57
Friday: |204 - 210| = 6 Friday is closest (difference of 6) d) Wednesday fraction = 189/1050 = 9/50 (÷21 both sides) e) Thursday revenue = 267 × $15.80 =$ 4218.60

End of Answer Key

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