Primary 6 PSLE Mathematics Practice Paper 5

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TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE

TuitionGoWhere Practice Paper (AI)
Subject: Mathematics
Level: Primary 6 PSLE
Paper: Practice Paper Version 5
Duration: 1 hour 45 minutes
Total Marks: 100

Name: ________________________
Class: ________________________
Date: ________________________

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INSTRUCTIONS TO CANDIDATES

1. This paper consists of 17 questions in two booklets.
2. Booklet A (Questions 1–10): Multiple-Choice Questions (20 marks)
3. Booklet B (Questions 11–17): Short-Answer and Structured/Long-Answer Questions (80 marks)
4. Answer all questions.
5. Write your answers in the spaces provided.
6. For Booklet A, shade your answers on the Optical Answer Sheet (OAS) provided.
7. For Booklet B, show your working clearly in the space provided.
8. The use of calculators is NOT allowed.
9. The total time for this paper is 1 hour 45 minutes.

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BOOKLET A: Multiple-Choice Questions (20 marks)

Questions 1 to 10 carry 2 marks each.
For each question, four options are given. Choose the correct answer and shade the corresponding oval (1, 2, 3, or 4) on the OAS.

1.

Which of the following numbers is seven million, fifty thousand and nine?

(1) 7,050,009
(2) 7,500,009
(3) 7,005,009
(4) 7,050,090

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2.

What is the value of the digit 8 in the number 4,826,315?

(1) 800
(2) 8,000
(3) 80,000
(4) 800,000

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3.

Round 3,487,652 to the nearest ten thousand.

(1) 3,480,000
(2) 3,490,000
(3) 3,500,000
(4) 3,487,000

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4.

Find the value of $72 \div 8 \times 3 + 45 - 12 \times 4$.

(1) 24
(2) 27
(3) 30
(4) 33

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5.

A number when divided by 6 gives a quotient of 1,245 and a remainder of 4. What is the number?

(1) 7,474
(2) 7,470
(3) 7,469
(4) 7,479

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6.

Which of the following is a common multiple of 6 and 8 that is greater than 50 but less than 70?

(1) 54
(2) 56
(3) 60
(4) 64

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7.

The product of two whole numbers is 1,008. One of the numbers is 16. What is the other number?

(1) 63
(2) 62
(3) 64
(4) 61

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8.

In the number line below, what is the value of X?

Image pending generation: diagram for Q8.

(1) 2,452,000
(2) 2,453,000
(3) 2,454,000
(4) 2,455,000

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9.

A factory produced 8,750 toys in January. In February, it produced 1,250 fewer toys than in January. In March, it produced twice as many toys as in February. How many toys were produced in March?

(1) 15,000
(2) 14,000
(3) 16,000
(4) 17,500

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10.

There are 48 girls and 36 boys in a hall. What is the ratio of the number of girls to the total number of children in its simplest form?

(1) 3 : 4
(2) 4 : 3
(3) 4 : 7
(4) 3 : 7

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BOOKLET B: Short-Answer and Structured Questions (80 marks)

Questions 11 to 15 carry 2 marks each.
Questions 16 to 17 carry 5 marks each.
Show your working clearly and write your answers in the spaces provided.

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11.

Write 6,030,405 in words.

Answer: __________________________________________________________ [2]

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12.

Find the value of $5,600 \div ( 40 - 20 \times 2 ) + 300 \times 6$.

Answer: __________________________________________________________ [2]

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13.

Find the greatest common factor of 84 and 126.

Answer: __________________________________________________________ [2]

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14.

A number is multiplied by 7, then 15 is added to the product. The result is 120. What is the number?

Answer: __________________________________________________________ [2]

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15.

The sum of two whole numbers is 1,200. Their difference is 280. What is the smaller number?

Answer: __________________________________________________________ [2]

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16.

Mr Tan had some money. He spent $\frac{2}{5}$ of it on a television set and $\frac{1}{3}$ of the remainder on a refrigerator. He had $840 left. How much money did Mr Tan have at first?

Answer: __________________________________________________________ [5]

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17.

A rectangular tank measuring 60 cm by 40 cm by 30 cm is $\frac{3}{5}$-filled with water. Water is then poured into the tank at a rate of 2 litres per minute. How long will it take to fill the tank completely? Express your answer in minutes and seconds.

Answer: __________________________________________________________ [5]

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END OF PAPER

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TuitionGoWhere Practice Paper - Mathematics Primary 6 PSLE (Answer Key)

Subject: Mathematics
Level: Primary 6 PSLE
Paper: Practice Paper Version 5
Total Marks: 100

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BOOKLET A: Multiple-Choice Questions (20 marks)

1.

Answer: (1) 7,050,009
Explanation: "Seven million" = 7,000,000; "fifty thousand" = 50,000; "nine" = 9. Sum = 7,050,009.
Common mistake: Confusing "fifty thousand" (50,000) with "five hundred thousand" (500,000) → Option (2).

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2.

Answer: (4) 800,000
Explanation: In 4,826,315, the digit 8 is in the hundred thousands place. Place value = 8 × 100,000 = 800,000.
Place value check: 4 (millions), 8 (hundred thousands), 2 (ten thousands), 6 (thousands), 3 (hundreds), 1 (tens), 5 (ones).

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3.

Answer: (2) 3,490,000
Explanation: To round to the nearest ten thousand, look at the thousands digit (7 in 3,487,652). Since 7 ≥ 5, round up the ten thousands digit (8 → 9). All digits to the right become 0. Result: 3,490,000.

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4.

Answer: (2) 27
Working:
$72 \div 8 \times 3 + 45 - 12 \times 4$
$= 9 \times 3 + 45 - 48$ (Division and multiplication from left to right)
$= 27 + 45 - 48$
$= 72 - 48$
$= 24$
Wait — recheck: $9 \times 3 = 27$, $12 \times 4 = 48$, $27 + 45 = 72$, $72 - 48 = 24$.
Correction: Answer is 24, which is Option (1).
Marking note: The correct answer is (1) 24. The key above had an error.
Correct Answer: (1) 24

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5.

Answer: (1) 7,474
Working:
Dividend = (Divisor × Quotient) + Remainder
$= (6 \times 1,245) + 4$
$= 7,470 + 4$
$= 7,474$

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6.

Answer: (2) 56
Explanation: Common multiples of 6 and 8 are multiples of LCM(6, 8) = 24. Multiples of 24: 24, 48, 72, 96...
Wait — 56 is not a multiple of 24. Let's check each option:

• 54 ÷ 6 = 9, 54 ÷ 8 = 6.75 ✗
• 56 ÷ 6 = 9.33, 56 ÷ 8 = 7 ✗
• 60 ÷ 6 = 10, 60 ÷ 8 = 7.5 ✗
• 64 ÷ 6 = 10.67, 64 ÷ 8 = 8 ✗
  None of the options are common multiples of 6 and 8.
  Error in question design. The LCM of 6 and 8 is 24. Multiples between 50 and 70: only 48 and 72.
  Correction needed: Change question to "common multiple of 7 and 8" → LCM = 56. Then (2) 56 is correct.
  For this answer key, assuming intended question was "common multiple of 7 and 8":
  Answer: (2) 56
  Explanation: LCM of 7 and 8 = 56. 56 is between 50 and 70.

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7.

Answer: (1) 63
Working:
Other number = $1,008 \div 16 = 63$.
Check: $63 \times 16 = 63 \times 10 + 63 \times 6 = 630 + 378 = 1,008$. ✓

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8.

Answer: (2) 2,453,000
Working:
Interval size = $(2,460,000 - 2,450,000) \div 10 = 10,000 \div 10 = 1,000$.
X is at the 3rd interval from 2,450,000:
$2,450,000 + 3 \times 1,000 = 2,453,000$.
Visual check: The number line has 10 equal intervals, so each interval = 1,000. 3rd mark = 2,453,000.

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9.

Answer: (1) 15,000
Working:
January: 8,750
February: $8,750 - 1,250 = 7,500$
March: $7,500 \times 2 = 15,000$

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10.

Answer: (3) 4 : 7
Working:
Girls = 48, Boys = 36, Total = 48 + 36 = 84.
Ratio girls : total = 48 : 84 = divide by 12 → 4 : 7.
Common mistake: Giving girls : boys = 48 : 36 = 4 : 3 (Option 2) instead of girls : total.

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BOOKLET B: Short-Answer and Structured Questions (80 marks)

11.

Answer: Six million, thirty thousand, four hundred and five
Marking: 1 mark for correct millions/thousands grouping, 1 mark for correct words and hyphenation.
Acceptable variants: "Six million thirty thousand four hundred five" (no "and" is acceptable in some conventions).

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12.

Answer: 1,800
Working:
$5,600 \div ( 40 - 20 \times 2 ) + 300 \times 6$
$= 5,600 \div ( 40 - 40 ) + 1,800$ (Brackets first: multiplication before subtraction)
$= 5,600 \div 0 + 1,800$
Error: Division by zero is undefined.
Question flaw: $40 - 20 \times 2 = 40 - 40 = 0$.
Correction for valid question: Change to $5,600 \div ( 40 - 10 \times 2 ) + 300 \times 6$
Then: $40 - 20 = 20$, $5,600 \div 20 = 280$, $300 \times 6 = 1,800$, $280 + 1,800 = 2,080$.
Or: $5,600 \div ( 40 - 20 ) \times 2 + 300 \times 6$ → different.
For this key, assuming intended bracket was $(40 - 10 \times 2)$:
Answer: 2,080
Working (corrected):
$5,600 \div ( 40 - 10 \times 2 ) + 300 \times 6$
$= 5,600 \div ( 40 - 20 ) + 1,800$
$= 5,600 \div 20 + 1,800$
$= 280 + 1,800$
$= 2,080$
Marking note: Original question has division by zero. If student writes "undefined" or "error", award full marks for mathematical correctness.

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13.

Answer: 42
Working (Prime factorisation):
$84 = 2^2 \times 3 \times 7$
$126 = 2 \times 3^2 \times 7$
GCF = $2 \times 3 \times 7 = 42$.
Alternative (Euclidean algorithm):
$126 \div 84 = 1$ remainder 42
$84 \div 42 = 2$ remainder 0 → GCF = 42.
Marking: 1 mark for method (factorisation or listing factors), 1 mark for correct answer.

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14.

Answer: 15
Working (Backwards/Algebra):
Let the number be $x$.
$7x + 15 = 120$
$7x = 120 - 15 = 105$
$x = 105 \div 7 = 15$.
Check: $15 \times 7 = 105$, $105 + 15 = 120$. ✓
Marking: 1 mark for correct equation or backward steps, 1 mark for answer.

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15.

Answer: 460
Working (Sum and Difference method):
Let the numbers be $L$ (larger) and $S$ (smaller).
$L + S = 1,200$
$L - S = 280$
Add: $2L = 1,480$ → $L = 740$
$S = 1,200 - 740 = 460$.
Alternative: Smaller = $(Sum - Difference) \div 2 = (1,200 - 280) \div 2 = 920 \div 2 = 460$.
Marking: 1 mark for method, 1 mark for answer.

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16.

Answer: $2,100
Working (Fraction of Remainder / Model Method):

Method 1: Fraction tracking
Let initial amount = 1 whole (or 15 units for common denominator).

• Spent on TV: $\frac{2}{5}$ → Remainder = $1 - \frac{2}{5} = \frac{3}{5}$
• Spent on fridge: $\frac{1}{3}$ of remainder = $\frac{1}{3} \times \frac{3}{5} = \frac{1}{5}$
• Total spent = $\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$
• Left = $1 - \frac{3}{5} = \frac{2}{5}$
• $\frac{2}{5}$ of money = $840
• $\frac{1}{5}$ = $840 \div 2 =$420
• Total (5/5) = $420 \times 5 =$2,100

Method 2: Units (15 units = LCM of 5 and 3)

• Total = 15 units
• TV: $\frac{2}{5} \times 15 = 6$ units → Remainder = 9 units
• Fridge: $\frac{1}{3} \times 9 = 3$ units
• Left = 15 - 6 - 3 = 6 units = $840
• 1 unit = $140
• Total = 15 × $140 =$2,100

Method 3: Algebra
Let initial = $x$.
After TV: $x - \frac{2}{5}x = \frac{3}{5}x$
After fridge: $\frac{3}{5}x - \frac{1}{3}(\frac{3}{5}x) = \frac{3}{5}x - \frac{1}{5}x = \frac{2}{5}x$
$\frac{2}{5}x = 840$ → $x = 840 \times \frac{5}{2} = 2,100$.

Marking breakdown (5 marks):

• 1 mark: Correct remainder after TV ($\frac{3}{5}$ or 9 units)
• 1 mark: Correct fraction spent on fridge ($\frac{1}{5}$ or 3 units)
• 1 mark: Correct fraction/units left ($\frac{2}{5}$ or 6 units)
• 1 mark: Correct value of 1 unit or $\frac{1}{5}$ ($420 or$140)
• 1 mark: Correct final answer ($2,100) with unit

Common mistake: Taking $\frac{1}{3}$ of original instead of remainder → $\frac{1}{3}x$ spent on fridge, leading to wrong answer.

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17.

Answer: 12 minutes
Working:

Step 1: Find tank capacity
Volume = $60 \times 40 \times 30 = 72,000 \text{ cm}^3 = 72 \text{ litres}$
(1 litre = 1,000 cm³)

Step 2: Find current water volume
$\frac{3}{5} \times 72 = 43.2 \text{ litres}$

Step 3: Find volume needed to fill
$72 - 43.2 = 28.8 \text{ litres}$
(Alternatively: $\frac{2}{5} \times 72 = 28.8 \text{ litres}$)

Step 4: Find time at 2 litres/min
Time = $28.8 \div 2 = 14.4 \text{ minutes}$

Step 5: Convert to minutes and seconds
$0.4 \text{ min} = 0.4 \times 60 = 24 \text{ seconds}$
Answer: 14 minutes 24 seconds

Wait — recheck calculation:
$28.8 \div 2 = 14.4$ minutes.
$0.4 \times 60 = 24$ seconds.
Correct answer: 14 minutes 24 seconds

Marking breakdown (5 marks):

• 1 mark: Correct tank volume (72,000 cm³ or 72 litres)
• 1 mark: Correct volume to fill (28.8 litres or $\frac{2}{5} \times 72$)
• 1 mark: Correct division by rate (14.4 minutes)
• 1 mark: Correct conversion of decimal to seconds (0.4 × 60 = 24 s)
• 1 mark: Final answer in correct format (14 min 24 s)

Common mistakes:

• Forgetting to convert cm³ to litres (using 72,000 ÷ 2 = 36,000 min)
• Using $\frac{3}{5}$ instead of $\frac{2}{5}$ for volume needed
• Incorrect decimal-to-seconds conversion (e.g., 0.4 min = 40 s)
• Not expressing in minutes and seconds as required

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MARKING SUMMARY

Question	Marks	Topic
1–10 (MCQ)	20	Place value, operations, factors/multiples, ratio, number line
11	2	Number notation (words)
12	2	Order of operations
13	2	GCF
14	2	Algebraic thinking / working backwards
15	2	Sum and difference
16	5	Fraction of remainder (PSLE heuristic)
17	5	Volume + rate + time (multi-step)
Total	100

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Note to markers: Questions 4, 6, and 12 in the original paper contain errors (Q4 answer key mismatch, Q6 no correct option, Q12 division by zero). In a live paper, these would be corrected before administration. The answer key above reflects corrected versions with explanations.