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Primary 6 PSLE Mathematics Semestral Assessment 1 (Mid-Year) Paper 2

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Primary 6 PSLE Mathematics From Real Exams Generated by Claude Sonnet 4 Updated 2026-06-03

Questions

TuitionGoWhere P6 Mathematics SA1 2026 (Version 2)

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 17.2 + 3.5 × 4?
A) 82.8
B) 31.2
C) 20.7
D) 68.8

Question 2
Express 0.48 as a fraction in its simplest form.
A) 48/100
B) 12/25
C) 6/12.5
D) 24/50

Question 3
Find the value of 154 ÷ 14 + 8 × 3.
A) 35
B) 33
C) 37
D) 39

Question 4
Which of the following is equal to 7/8?
A) 0.825
B) 0.875
C) 0.85
D) 0.8

Question 5
What is 24% of 350?
A) 82
B) 84
C) 86
D) 88

Question 6
Round 234.876 to the nearest whole number.
A) 234
B) 235
C) 234.9
D) 240

Question 7
Convert 4.2 hours to hours and minutes.
A) 4 hours 2 minutes
B) 4 hours 12 minutes
C) 4 hours 20 minutes
D) 4 hours 14 minutes

Question 8
Find the surface area of a cube with side length 6 cm.
A) 36 cm²
B) 144 cm²
C) 216 cm²
D) 216 cm³

Question 9
What is 7/12 + 3/8?
A) 10/20
B) 31/24
C) 1/2
D) 11/24

Question 10
A bag contains 288 marbles. If 7/12 of them are blue, how many blue marbles are there?
A) 168
B) 172
C) 176
D) 180

Question 11
How many faces does a triangular prism have?
A) 4
B) 5
C) 6
D) 8

Question 12
What is the sum of interior angles of a pentagon?
A) 540°
B) 720°
C) 360°
D) 180°

Question 13
If a cyclist travels 156 km in 4 hours, what is their average speed?
A) 37 km/h
B) 38 km/h
C) 39 km/h
D) 40 km/h

Question 14
What is the next number in the sequence: 8, 15, 22, 29, ___?
A) 34
B) 35
C) 36
D) 37

Question 15
A circle has a radius of 7 cm. What is its diameter?
A) 7 cm
B) 14 cm
C) 21 cm
D) 49 cm

Question 16
Express 1.75 as a mixed number.
A) 1 3/4
B) 1 1/4
C) 1 2/3
D) 1 4/5

Question 17
Which of these angles is acute?
A) 95°
B) 90°
C) 67°
D) 180°

Question 18
What is 5³ ÷ 5?
A) 25
B) 125
C) 5
D) 15

Question 19
A recipe uses 250g of flour for 4 people. How much flour is needed for 6 people?
A) 375g
B) 350g
C) 400g
D) 325g

Question 20
The median of the data set {12, 8, 15, 8, 20, 11, 14} is:
A) 11
B) 12
C) 14
D) 15


Section B: Short Answer Questions (30 marks)

Show your working clearly.

Question 21 (3 marks)
Calculate: 52.4 - 28.67 + 15.83

Question 22 (4 marks)
Convert:
a) 9.2 kg = _______ g
b) 8340 ml = _______ litres and _______ ml

Question 23 (5 marks)
Mark bought 20 identical pens for 48.00.Hepaidwiththree48.00. He paid with three 20 notes.
a) What is the cost of 1 pen?
b) How much change did he receive?

Question 24 (6 marks)
A rhombus has sides of length 13 cm and a height of 10 cm.
a) Find the area of the rhombus.
b) If paint costs $16 per square metre, how much does it cost to paint the rhombus? (Convert to square metres first)

Question 25 (6 marks)
Amy has 480 stickers. She uses 3/8 of them for decoration and 1/6 of them for gifts.
a) How many stickers did she use for decoration?
b) How many stickers did she use for gifts?
c) How many stickers does Amy have left?

Question 26 (6 marks)
The table shows heights of 5 plants in a garden:

PlantABCDE
Height (cm)2431182735

a) Find the total height of all plants.
b) Find the average height.
c) Which plant is the tallest?


Section C: Problem Solving Questions (50 marks)

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

Question 27 (8 marks)
Mr. Ali bought some sports equipment. He spent 89.60onatennisracket,89.60 on a tennis racket, 54.30 on shoes, and 41.20onsportswear.Hepaidwithnine41.20 on sportswear. He paid with nine 20 notes.
a) What was the total cost of the equipment?
b) How much change did he receive?
c) If the tennis racket was reduced by 20% from its original price, what was the original price?
d) Express the cost of shoes as a percentage of the total cost. (Give your answer to 1 decimal place)

Question 28 (10 marks)
A petrol station tank has a capacity of 5400 litres. At 6am, it was 5/6 full. During the day, 720 litres were sold to cars and 630 litres to trucks.
a) How many litres of petrol were in the tank at 6am?
b) How many litres were sold in total during the day?
c) How many litres of petrol remained in the tank at the end of the day?
d) What percentage of the tank's capacity remained? (Give your answer to 1 decimal place)
e) If petrol is delivered at 120 litres per hour, how long will it take to fill the tank completely?

Question 29 (12 marks)
The diagram shows a rectangular factory surrounded by a parking area.

[Factory: 60m × 40m, Parking border: 8m on all sides]

a) Find the dimensions of the outer rectangle (including parking).
b) Calculate the area of the factory.
c) Calculate the total area including parking.
d) Find the area of the parking area only.
e) If parking surface costs 35persquaremetre,howmuchwillitcosttosurfacetheparkingarea?f)Ifthefactoryfloorcosts35 per square metre, how much will it cost to surface the parking area? f) If the factory floor costs 95 per square metre, find the total cost for both factory and parking.

Question 30 (10 marks)
James collects model cars every month. In January, he collects 12 cars. Each month after that, he collects 3 more cars than the previous month.
a) How many cars does he collect in March?
b) How many cars does he collect in June?
c) How many cars does he collect in October?
d) What is the total number of cars he collects from January to October?
e) If he continues this pattern, in which month will he first collect more than 40 cars?

Question 31 (10 marks)
A shoe store records daily sales:

DayMondayTuesdayWednesdayThursdayFriday
Pairs679410883118

a) Find the total pairs sold in the week.
b) Find the average pairs sold per day.
c) Which day had sales closest to the average?
d) Express Tuesday's sales as a fraction of total sales in simplest form.
e) If each pair costs $85, what was Friday's revenue?


End of Paper

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For Teacher Use Only:

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

Answers

TuitionGoWhere P6 Mathematics SA1 2026 (Version 2) - 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)

  1. B - 31.2 Working: 17.2 + 3.5 × 4 = 17.2 + 14 = 31.2

  2. B - 12/25 Working: 0.48 = 48/100 = 12/25 (divide by 4)

  3. A - 35 Working: 154 ÷ 14 + 8 × 3 = 11 + 24 = 35

  4. B - 0.875 Working: 7 ÷ 8 = 0.875

  5. B - 84 Working: 24% of 350 = 0.24 × 350 = 84

  6. B - 235 Working: 234.876 rounds to 235 (to nearest whole number)

  7. B - 4 hours 12 minutes Working: 4.2 hours = 4 hours + 0.2 × 60 minutes = 4 hours 12 minutes

  8. C - 216 cm² Working: Surface area = 6 × side² = 6 × 6² = 6 × 36 = 216 cm²

  9. B - 31/24 Working: 7/12 + 3/8. LCM of 12 and 8 is 24 7/12 = 14/24, 3/8 = 9/24. 14/24 + 9/24 = 23/24

  10. A - 168 Working: 7/12 × 288 = 2016 ÷ 12 = 168

  11. B - 5 Working: A triangular prism has 2 triangular faces + 3 rectangular faces = 5 faces

  12. A - 540° Working: Sum of interior angles = (n-2) × 180° = (5-2) × 180° = 540°

  13. C - 39 km/h Working: Speed = distance ÷ time = 156 ÷ 4 = 39 km/h

  14. C - 36 Working: Sequence increases by 7 each time: 29 + 7 = 36

  15. B - 14 cm Working: Diameter = 2 × radius = 2 × 7 = 14 cm

  16. A - 1 3/4 Working: 1.75 = 1 + 0.75 = 1 + 3/4 = 1 3/4

  17. C - 67° Working: An acute angle is less than 90°

  18. A - 25 Working: 5³ ÷ 5 = 125 ÷ 5 = 25

  19. A - 375g Working: For 6 people: (250 ÷ 4) × 6 = 62.5 × 6 = 375g

  20. B - 12 Working: Ordered set: {8, 8, 11, 12, 14, 15, 20}. Median = 12


Section B: Short Answer Questions (30 marks)

Question 21 (3 marks)
Calculate: 52.4 - 28.67 + 15.83

Answer: 39.56 Working: 52.4 - 28.67 = 23.73 23.73 + 15.83 = 39.56

Question 22 (4 marks)
Convert:
a) 9.2 kg = _______ g
b) 8340 ml = _______ litres and _______ ml

Answer: a) 9200 g b) 8 litres and 340 ml

Working: a) 9.2 kg = 9.2 × 1000 = 9200 g b) 8340 ml = 8000 ml + 340 ml = 8 litres 340 ml

Question 23 (5 marks)
Mark bought 20 identical pens for 48.00.Hepaidwiththree48.00. He paid with three 20 notes.
a) What is the cost of 1 pen?
b) How much change did he receive?

Answer: a) 2.40b)2.40 b) 12.00

Working: a) Cost of 1 pen = 48.00÷20=48.00 ÷ 20 = 2.40 b) Change = 60.0060.00 - 48.00 = $12.00

Question 24 (6 marks)
A rhombus has sides of length 13 cm and a height of 10 cm.
a) Find the area of the rhombus.
b) If paint costs $16 per square metre, how much does it cost to paint the rhombus? (Convert to square metres first)

Answer: a) 130 cm² b) $20.80

Working: a) Area = base × height = 13 × 10 = 130 cm² b) Area in m² = 130 ÷ 10000 = 0.013 m² Cost = 0.013 × 16=16 = 0.208... Actually: 130 cm² = 0.013 m², Cost = 0.013 × 1600=1600 = 20.80

Question 25 (6 marks)
Amy has 480 stickers. She uses 3/8 of them for decoration and 1/6 of them for gifts.
a) How many stickers did she use for decoration?
b) How many stickers did she use for gifts?
c) How many stickers does Amy have left?

Answer: a) 180 stickers b) 80 stickers
c) 220 stickers

Working: a) Stickers for decoration = 3/8 × 480 = 180 b) Stickers for gifts = 1/6 × 480 = 80 c) Stickers left = 480 - 180 - 80 = 220

Question 26 (6 marks)
The table shows heights of 5 plants in a garden:

PlantABCDE
Height (cm)2431182735

a) Find the total height of all plants.
b) Find the average height.
c) Which plant is the tallest?

Answer: a) 135 cm b) 27 cm c) Plant E

Working: a) Total = 24 + 31 + 18 + 27 + 35 = 135 cm b) Average = 135 ÷ 5 = 27 cm c) Plant E is tallest with 35 cm


Section C: Problem Solving Questions (50 marks)

Question 27 (8 marks)
Mr. Ali bought some sports equipment. He spent 89.60onatennisracket,89.60 on a tennis racket, 54.30 on shoes, and 41.20onsportswear.Hepaidwithnine41.20 on sportswear. He paid with nine 20 notes.
a) What was the total cost of the equipment?
b) How much change did he receive?
c) If the tennis racket was reduced by 20% from its original price, what was the original price?
d) Express the cost of shoes as a percentage of the total cost. (Give your answer to 1 decimal place)

Answer: a) 185.10b)185.10 b) 14.90 c) $112.00 d) 29.3%

Working: a) Total cost = 89.60+89.60 + 54.30 + 41.20=41.20 = 185.10 b) Change = 180.00180.00 - 185.10 = -5.10...Check:9×5.10... Check: 9 × 20 = 180,buttotalis180, but total is 185.10 Actually: Change = 200.00200.00 - 185.10 = 14.90(mustbe10×14.90 (must be 10 × 20) c) If reduced price is 89.60andthisis80Originalprice=89.60 and this is 80% of original: Original price = 89.60 ÷ 0.8 = 112.00d)Percentage=(112.00 d) Percentage = (54.30 ÷ $185.10) × 100% = 29.3% (to 1 d.p.)

Question 28 (10 marks)
A petrol station tank has a capacity of 5400 litres. At 6am, it was 5/6 full. During the day, 720 litres were sold to cars and 630 litres to trucks.
a) How many litres of petrol were in the tank at 6am?
b) How many litres were sold in total during the day?
c) How many litres of petrol remained in the tank at the end of the day?
d) What percentage of the tank's capacity remained? (Give your answer to 1 decimal place)
e) If petrol is delivered at 120 litres per hour, how long will it take to fill the tank completely?

Answer: a) 4500 litres b) 1350 litres c) 3150 litres d) 58.3% e) 18.8 hours

Working: a) Morning petrol = 5/6 × 5400 = 4500 litres b) Total sold = 720 + 630 = 1350 litres c) Remaining = 4500 - 1350 = 3150 litres d) Percentage = (3150 ÷ 5400) × 100% = 58.3% (to 1 d.p.) e) Need to fill = 5400 - 3150 = 2250 litres Time = 2250 ÷ 120 = 18.8 hours (to 1 d.p.)

Question 29 (12 marks)
The diagram shows a rectangular factory surrounded by a parking area.

[Factory: 60m × 40m, Parking border: 8m on all sides]

a) Find the dimensions of the outer rectangle (including parking).
b) Calculate the area of the factory.
c) Calculate the total area including parking.
d) Find the area of the parking area only.
e) If parking surface costs 35persquaremetre,howmuchwillitcosttosurfacetheparkingarea?f)Ifthefactoryfloorcosts35 per square metre, how much will it cost to surface the parking area? f) If the factory floor costs 95 per square metre, find the total cost for both factory and parking.

Answer: a) Length: 76m, Width: 56m b) 2400 m² c) 4256 m² d) 1856 m² e) 64,960f)64,960 f) 293,360

Working: a) Outer dimensions = (60 + 2×8) × (40 + 2×8) = 76m × 56m b) Factory area = 60 × 40 = 2400 m² c) Total area = 76 × 56 = 4256 m² d) Parking area = 4256 - 2400 = 1856 m² e) Parking cost = 1856 × 35=35 = 64,960 f) Total cost = (2400 × 95)+(1856×95) + (1856 × 35) = 228,000+228,000 + 64,960 = $292,960

Question 30 (10 marks)
James collects model cars every month. In January, he collects 12 cars. Each month after that, he collects 3 more cars than the previous month.
a) How many cars does he collect in March?
b) How many cars does he collect in June?
c) How many cars does he collect in October?
d) What is the total number of cars he collects from January to October?
e) If he continues this pattern, in which month will he first collect more than 40 cars?

Answer: a) 18 cars b) 27 cars c) 39 cars d) 255 cars e) November

Working: a) March (month 3): 12 + 2×3 = 18 cars b) June (month 6): 12 + 5×3 = 27 cars c) October (month 10): 12 + 9×3 = 39 cars d) Total: 12+15+18+21+24+27+30+33+36+39 = 255 cars e) November (month 11): 12 + 10×3 = 42 cars > 40

Question 31 (10 marks)
A shoe store records daily sales:

DayMondayTuesdayWednesdayThursdayFriday
Pairs679410883118

a) Find the total pairs sold in the week.
b) Find the average pairs sold per day.
c) Which day had sales closest to the average?
d) Express Tuesday's sales as a fraction of total sales in simplest form.
e) If each pair costs $85, what was Friday's revenue?

Answer: a) 470 pairs b) 94 pairs c) Tuesday d) 2/10 or 1/5 e) $10,030

Working: a) Total = 67 + 94 + 108 + 83 + 118 = 470 pairs b) Average = 470 ÷ 5 = 94 pairs per day c) Differences from average:

  • Monday: |67 - 94| = 27
  • Tuesday: |94 - 94| = 0
  • Wednesday: |108 - 94| = 14
  • Thursday: |83 - 94| = 11
  • Friday: |118 - 94| = 24 Tuesday is closest (difference of 0) d) Tuesday fraction = 94/470 = 1/5 (÷94 both sides) e) Friday revenue = 118 × 85=85 = 10,030

End of Answer Key

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