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Primary 5 Mathematics Semestral Assessment 2 (End of Year) Paper 1

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Questions

TuitionGoWhere Practice Paper - Mathematics Primary 5

TuitionGoWhere Exam Practice (AI)

Subject: Mathematics
Level: Primary 5
Paper: SA2 Practice
Duration: 1 hour 15 minutes
Total Marks: 60

Name: _______________________________
Class: _______________________________
Date: _______________________________

Version: 1 of 5

INSTRUCTIONS

Write your name, class, and date clearly in the spaces provided.
This paper consists of THREE sections: A, B, and C.
Answer ALL questions.
For Sections A and B, write your answers in the spaces provided.
For Section C, show all your working clearly. Marks will be awarded for correct method even if the final answer is wrong.
Use of calculators is NOT allowed.
The number of marks available is shown in brackets [ ] at the end of each question or part question.

SECTION A: Multiple Choice Questions (10 marks)

Choose the correct answer and write its number (1, 2, 3, or 4) in the box provided.

1. Which of the following is equal to 5,080,600?

1. 5 million 8 thousand 6
1. 5 million 80 thousand 600
1. 5 million 800 thousand 60
1. 5 million 800 thousand 600

Answer: [1]

2. What is the value of the digit 7 in 7,654,321?

1. 7
1. 7000
1. 700000
1. 7000000

Answer: [1]

3. Round 6,849,532 to the nearest thousand.

1. 6,800,000
1. 6,849,000
1. 6,850,000
1. 6,849,500

Answer: [1]

4. Which number is 100,000 more than 4,958,726?

1. 4,958,826
1. 4,959,726
1. 4,968,726
1. 5,058,726

Answer: [1]

5. What is the result of 3,456,000 ÷ 1000?

1. 3456
1. 34,560
1. 345,600
1. 3,456,000

Answer: [1]

6. In the number 9,090,909, how many times greater is the value of the digit 9 in the hundred thousands place than the digit 9 in the hundreds place?

1. 10
1. 100
1. 1000
1. 10,000

Answer: [1]

7. Which of the following is the smallest?

1. 4,870,512
1. 4,807,521
1. 4,780,152
1. 4,087,521

Answer: [1]

8. 2,400,000 reduced by 10,000 becomes

1. 2,300,000
1. 2,390,000
1. 2,399,000
1. 2,401,000

Answer: [1]

9. What is the missing number in: ? ÷ 100 = 56,780

1. 567.8
1. 5,678
1. 567,800
1. 5,678,000

Answer: [1]

10. A number, when rounded to the nearest ten thousand, is 3,500,000. What could the original number be?

1. 3,409,999
1. 3,494,999
1. 3,504,999
1. 3,509,999

Answer: [1]

Section A Total: [10]

SECTION B: Short Answer Questions (20 marks)

For each question, show your working clearly and write your answer in the space provided.

11. Write 7,003,509 in words.

Answer: ________________________________

[2]

12. Arrange the following numbers in descending order.

5,678,901 ; 5,768,190 ; 5,687,910 ; 5,876,109

Answer: ________________________________

[2]

13. Find the value of 8,400 × 50.

Answer: ________________________________

[2]

14. Find the value of 3,600,000 ÷ 600.

Answer: ________________________________

[2]

15. What is the value of 2,000,000 − 756,843?

Answer: ________________________________

[2]

16. A concert hall has 8,250 seats. If 6,875 seats are occupied, how many seats are empty?

Answer: ________________________________

[2]

17. A factory produces 15,600 boxes of biscuits in 30 days. How many boxes does it produce in one day, assuming the same number of boxes each day?

Answer: ________________________________

[2]

18. Mr. Tan bought a car for $184,500. He paid a deposit of$ 45,000 and paid the rest in 15 equal monthly instalments. How much was each instalment?

Answer: ________________________________

[3]

19. A number multiplied by 40 gives 2,840,000. What is the number?

Answer: ________________________________

[2]

20. Form the greatest 7-digit number using all the digits 9, 0, 5, 3, 1, 7, 2.

Answer: ________________________________

[2]

Section B Total: [20]

SECTION C: Long Answer / Problem Solving (30 marks)

For each question, show all your working clearly. Marks will be awarded for correct method.

21. (a) Write 4,075,680 in expanded form.

Answer: ________________________________

[1]

(b) What is the difference between the values of the two 7s in 7,754,372?

Answer: ________________________________

[3]

22. The table shows the population of four towns.

Table for Q22 (P5 Maths)

Generated table for Q22.

(a) Which town has the greatest population?

Answer: ________________________________

[1]

(b) Find the total population of all four towns.

Answer: ________________________________

[2]

Answer: ________________________________

[2]

23. A supermarket sells rice in two sizes.

Table for Q23 (P5 Maths)

Generated table for Q23.

(a) Mrs. Lee wants to buy 40 kg of rice. If she buys only small packets, how much does she pay?

Answer: ________________________________

[2]

(b) What is the most economical way for Mrs. Lee to buy 40 kg of rice using a combination of both sizes? How much does she pay?

Answer: ________________________________

[3]

24. Study the pattern below.

Figure for Q24 (P5 Maths)

Generated figure for Q24.

(a) Complete: $10^6$ = _________________

Answer: ________________________________

[1]

(b) How many zeros are there in $10^{12}$ ?

Answer: ________________________________

[2]

Answer: ________________________________

[2]

25. A book publisher printed 1,250,000 copies of a novel. In the first month, 486,750 copies were sold. In the second month, 125,400 fewer copies were sold than in the first month.

(a) How many copies were sold in the second month?

Answer: ________________________________

[2]

(b) How many copies were left unsold after two months?

Answer: ________________________________

[3]

26. Mr. Lim has $500,000. He wants to divide this amount equally among his 4 children. Then, he will donate the remainder to charity.

(a) How much does each child receive?

Answer: ________________________________

[2]

(b) How much is donated to charity?

Answer: ________________________________

[2]

27. A school has 3,456 pupils. The number of boys is 1,278 more than the number of girls.

(a) How many boys are there in the school?

Answer: ________________________________

[3]

(b) If each boy pays $15 for a school trip and each girl pays$ 18, how much more money is collected from the boys than from the girls?

Answer: ________________________________

[3]

28.

Graph for Q28 (P5 Maths)

Generated graph for Q28.

(a) In which month were the most laptops sold?

Answer: ________________________________

[1]

(b) How many more laptops were sold in May than in February?

Answer: ________________________________

[2]

(c) The shop owner wants to sell at least 600 laptops per month for the second half of the year. What is the minimum total number of laptops he must sell from July to December?

Answer: ________________________________

[2]

Section C Total: [30]

END OF PAPER

PAPER TOTAL: 60 MARKS

Please check your work carefully.

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Answers

TuitionGoWhere Practice Paper - Mathematics Primary 5

Answer Key and Marking Scheme

Version: 1 of 5

SECTION A: Multiple Choice Questions (10 marks)

Question	Answer	Working / Explanation
1	2	5,080,600 = 5 × 1,000,000 + 80 × 10,000 + 600 = 5 million 80 thousand 600
2	4	The digit 7 is in the millions place: 7 × 1,000,000 = 7,000,000
3	2	6,849,532 → look at thousands place (9): next digit is 5, so round up: 6,850,000... wait, check again. Thousands digit is 9 (in 849), hundreds digit is 5, so round 849 up to 850, giving 6,850,000. Actually rechecking: 6,849,532, the thousands are '849', the hundreds digit is 5, so round 849,000 up to 850,000. Answer is 3) 6,850,000 — correction noted.
3	3	6,849,532: Identify the thousands place (9 in 849,000). The digit to the right (hundreds place) is 5. Since 5 ≥ 5, round up: 849,000 → 850,000. Result: 6,850,000
4	3	4,958,726 + 100,000 = 5,058,726. Add 1 to the hundred thousands digit (9→10, carry over): 4,958,726 + 100,000 = 5,058,726
5	1	3,456,000 ÷ 1000 = 3456 (divide by 1000: remove three zeros or move decimal 3 places left)
6	3	Hundred thousands place: 9 × 100,000 = 900,000; Hundreds place: 9 × 100 = 900; Ratio: 900,000 ÷ 900 = 1000
7	4	Compare digit by digit from left: 4,087,521 has 0 in hundred thousands, others have 7 or 8. All others start with 487..., 480..., 478..., so 4,087,521 < all others
8	2	2,400,000 − 10,000 = 2,390,000 (subtract 1 from the ten thousands digit: 0 becomes 9 with borrowing)
9	4	? ÷ 100 = 56,780, so ? = 56,780 × 100 = 5,678,000 (multiply by 100: add two zeros)
10	3	3,500,000 rounded to nearest ten thousand: range is 3,495,000 to 3,504,999. Only 3,504,999 falls in this range

Marking: 1 mark each, no partial credit. Total: 10 marks.

SECTION B: Short Answer Questions (20 marks)

11. Write 7,003,509 in words. [2 marks]

Answer: Seven million three thousand five hundred and nine

Marking:

[1] for "seven million"
[1] for "three thousand five hundred and nine" (accept "three thousand five hundred nine")

Teaching Note: Group digits in threes from right: 7 | 003 | 509. Middle group '003' is 'three thousand' (not 'three zero zero three').

12. Arrange in descending order: 5,678,901 ; 5,768,190 ; 5,687,910 ; 5,876,109 [2 marks]

Answer: 5,876,109 ; 5,768,190 ; 5,687,910 ; 5,678,901

Working: Compare digit by digit from left:

All start with 5, so compare hundred thousands digit:
- 5,876,109: 8
- 5,768,190: 7
- 5,687,910: 6
- 5,678,901: 6

For 5,687,910 and 5,678,901, compare ten thousands digit: 8 > 7, so 5,687,910 > 5,678,901.

Marking:

[1] for correct order with biggest first
[1] for complete correct sequence

13. Find 8,400 × 50 [2 marks]

Answer: 420,000

Working:

Method 1: 8,400 × 50 = 8,400 × 5 × 10 = 42,000 × 10 = 420,000
Method 2: 84 × 5 = 420, then add three zeros (from 8,400) and one zero (from 50) = four zeros: 420,000

Marking:

[1] for correct working shown
[1] for correct answer

Common Error: Getting 42,000 (forgetting final ×10 for the zero in 50).

14. Find 3,600,000 ÷ 600 [2 marks]

Answer: 6,000

Working:

3,600,000 ÷ 600 = 3,600,000 ÷ (6 × 100) = (3,600,000 ÷ 100) ÷ 6 = 36,000 ÷ 6 = 6,000
Or: cancel two zeros: 36,000 ÷ 6 = 6,000

Marking:

[1] for correct method (cancelling zeros or long division)
[1] for correct answer

15. Find 2,000,000 − 756,843 [2 marks]

Answer: 1,243,157

Working:

  2,000,000
-   756,843
-----------
  1,243,157

Method: Multiple borrowing needed.

Units: 0−3, borrow: 10−3=7
Tens: (0−1)−4, need to borrow: 9−4=5... continue through

Or use complement: 2,000,000 − 756,843 = 1,999,999 + 1 − 756,843 = 1,243,156 + 1 = 1,243,157

Marking:

[1] for correct working
[1] for correct answer

16. Empty seats: 8,250 − 6,875 [2 marks]

Answer: 1,375 seats

Working: 8,250 − 6,875 = 1,375

Marking:

[1] for correct subtraction method
[1] for correct answer

17. Daily production: 15,600 ÷ 30 [2 marks]

Answer: 520 boxes

Working: 15,600 ÷ 30 = 15,600 ÷ (3 × 10) = (15,600 ÷ 10) ÷ 3 = 1,560 ÷ 3 = 520

Or: cancel one zero: 1,560 ÷ 3 = 520

Marking:

[1] for correct division method
[1] for correct answer

18. Monthly instalment [3 marks]

Answer: $9,300

Working:

Remaining after deposit: $184,500 −$ 45,000 = $139,500
Each instalment: $139,500 ÷ 15 = **$ 9,300**

Check: $9,300 × 15 =$ 139,500 ✓

Marking:

[1] for finding remaining amount ($139,500)
[1] for correct division method
[1] for correct answer

Common Error: Dividing $184,500 by 15 without subtracting deposit first.

19. Find the number: ? × 40 = 2,840,000 [2 marks]

Answer: 71,000

Working: ? = 2,840,000 ÷ 40 = 2,840,000 ÷ (4 × 10) = (2,840,000 ÷ 10) ÷ 4 = 284,000 ÷ 4 = 71,000

Or cancel one zero: 284,000 ÷ 4 = 71,000

Check: 71,000 × 40 = 2,840,000 ✓

Marking:

[1] for setting up correct division
[1] for correct answer

20. Greatest 7-digit number from 9, 0, 5, 3, 1, 7, 2 [2 marks]

Answer: 9,753,210

Working: Arrange digits in descending order: 9 > 7 > 5 > 3 > 2 > 1 > 0

Greatest number: 9,753,210

Marking:

[1] for correct order (descending)
[1] for correct placement (9 first, 0 last)

Common Error: Putting 0 first to make 0,123,579 (not a 7-digit number, becomes 6-digit).

Section B Total: 20 marks

SECTION C: Long Answer / Problem Solving (30 marks)

21. (a) Expanded form of 4,075,680 [1 mark]

Answer: 4,000,000 + 70,000 + 5,000 + 600 + 80

Or: 4 × 1,000,000 + 7 × 10,000 + 5 × 1,000 + 6 × 100 + 8 × 10

Marking: [1] for complete correct expansion. Accept either form.

**(b) Difference between values of two 7s in 7,754,372 [3 marks]

Answer: 6,930,000

Working:

First 7 (millions place): 7 × 1,000,000 = 7,000,000
Second 7 (tens place): 7 × 10 = 70
Difference: 7,000,000 − 70 = 6,999,930

Correction: Re-reading 7,754,372 — digits are: 7, 7, 5, 4, 3, 7, 2

Wait — let me recount: 7-7-5-4-3-7-2 has three 7s. The question says "two 7s" — checking: 7,754,372.

Positions:

First 7: millions (7,000,000)
Second 7: hundred thousands (700,000)
Third 7: tens (70)

The question likely means the first and second 7s encountered: 7,000,000 and 700,000.

Corrected Answer: 6,300,000

Working:

First 7 (millions): 7 × 1,000,000 = 7,000,000
Second 7 (hundred thousands): 7 × 100,000 = 700,000
Difference: 7,000,000 − 700,000 = 6,300,000

Marking:

[1] for identifying first 7's value correctly (7,000,000)
[1] for identifying second 7's value correctly (700,000)
[1] for correct subtraction

Teaching Note: The position of a digit determines its value by powers of 10. Same digit, different positions = vastly different values.

22. Population table

(a) Greatest population [1 mark]

Answer: Town C

Working: Compare: 1,302,915 > 1,245,678 > 1,198,760 > 1,180,450

Marking: [1] for correct town identified.

(b) Total population [2 marks]

Answer: 4,927,803

Working:

  1,245,678
+ 1,180,450
+ 1,302,915
+ 1,198,760
-----------
  4,927,803

Step by step:

1,245,678 + 1,180,450 = 2,426,128
2,426,128 + 1,302,915 = 3,729,043
3,729,043 + 1,198,760 = 4,927,803

Marking:

[1] for correct addition method
[1] for correct answer

(c) Rounded total [2 marks]

Answer: 5,000,000 (or 5 million)

Working:

Town A: 1,245,678 → 1,200,000 (round down, 4 < 5)
Town B: 1,180,450 → 1,200,000 (round up, 8 ≥ 5)
Town C: 1,302,915 → 1,300,000 (round down, 0 < 5)
Town D: 1,198,760 → 1,200,000 (round up, 9 ≥ 5)

Total: 1,200,000 + 1,200,000 + 1,300,000 + 1,200,000 = 4,900,000

Corrected Answer: 4,900,000

Marking:

[1] for correct rounding of all four values
[1] for correct total

Teaching Note: Rounding before adding gives different result than adding then rounding. 4,927,803 → 4,900,000 (nearest hundred thousand), which matches the rounded sum.

23. Rice packets

(a) Cost for 40 kg using small packets only [2 marks]

Answer: $144

Working:

Number of small packets needed: 40 ÷ 5 = 8 packets
Total cost: 8 × $18 = **$ 144**

Marking:

[1] for correct number of packets (8)
[1] for correct total cost

(b) Most economical combination [3 marks]

Answer: 4 large packets and 1 small packet; cost $122

Working:

Cost per kg: Small = $18 ÷ 5 =$ 3.60/kg; Large = $26 ÷ 8 =$ 3.25/kg
Large packets are cheaper per kg, so maximize large packets.

Find combinations for 40 kg:

5 large: 5 × 8 = 40 kg, cost = 5 × $26 =$ 130
4 large + 1 small: 32 + 5 = 37 kg... not enough
4 large + 2 small: 32 + 10 = 42 kg, cost = $104 +$ 36 = $140
3 large + remainder: 24 kg, need 16 kg more = not divisible by 5

Wait — let me recheck: 40 ÷ 8 = 5 exactly.

Actually: 4 large = 32 kg, need 8 kg more. But small is 5 kg.

4 large + 2 small = 32 + 10 = 42 kg (too much, costs $140)
5 large = 40 kg exactly, costs $130

Or: 0 large + 8 small = $144 Or: find if any combination works better...

3 large = 24 kg, need 16 kg: not possible with 5 kg packets 1 large = 8 kg, need 32 kg: 32 ÷ 5 not whole

Best valid combination: 5 large packets = $130, or check:

4 large + 1 small = 37 kg (insufficient)

Corrected Answer: 5 large packets; $130

Or if she can buy extra: 4 large + 2 small = 42 kg for $140

Most economical for at least 40 kg: 5 large = $130 (exactly 40)

Marking:

[1] for identifying large packets as better value per kg
[1] for valid combination giving 40 kg (or at least 40 kg if specified)
[1] for correct minimum cost

Teaching Note: Unit price comparison is key. $/kg lets us compare different sizes directly. Always check if exact quantities are possible.

24. Powers of 10 pattern

(a) $10^6$ [1 mark]

Answer: 1,000,000

(b) Zeros in $10^{12}$ [2 marks]

Answer: 12 zeros

Working: Pattern shows $10^n$ = 1 followed by n zeros. So $10^{12}$ = 1,000,000,000,000 which has 12 zeros.

Marking:

[1] for recognizing pattern (n = number of zeros)
[1] for correct answer

(c) 8,000,000 as product [2 marks]

Answer: 8 × $10^6$

Working: 8,000,000 = 8 × 1,000,000 = 8 × $10^6$

Marking:

[1] for correct single digit (8)
[1] for correct power of 10 ( $10^6$ )

25. Book sales

(a) Second month sales [2 marks]

Answer: 361,350 copies

Working: 486,750 − 125,400 = 361,350

Marking:

[1] for correct subtraction method
[1] for correct answer

(b) Unsold copies [3 marks]

Answer: 401,900 copies

Working:

Total sold: 486,750 + 361,350 = 848,100
Remaining: 1,250,000 − 848,100 = 401,900

Or: 1,250,000 − 486,750 − 361,350 = 401,900

Marking:

[1] for finding total sales (848,100)
[1] for correct subtraction method
[1] for correct answer

26. Mr. Lim's inheritance

(a) Each child's amount [2 marks]

Answer: $125,000

Working: $500,000 ÷ 4 = **$ 125,000**

Check: $125,000 × 4 =$ 500,000 ✓

Marking:

[1] for correct division
[1] for correct answer

(b) Charity donation [2 marks]

Answer: $0

Working: $500,000 ÷ 4 =$ 125,000 exactly, with no remainder.

Marking:

[1] for recognizing no remainder / remainder is 0
[1] for correct answer

Teaching Note: "Equal division" with no remainder specified means exact divisibility. Common error: assuming there must be a remainder.

27. School pupils

(a) Number of boys [3 marks]

Answer: 2,367 boys

Working: Let girls = g, then boys = g + 1,278

Total: g + (g + 1,278) = 3,456 2g + 1,278 = 3,456 2g = 2,178 g = 1,089

Boys = 1,089 + 1,278 = 2,367

Check: 1,089 + 2,367 = 3,456 ✓

Marking:

[1] for setting up correct equation or using model method
[1] for finding girls (1,089) or correct intermediate step
[1] for correct answer

Alternative (model method):

If equal: 3,456 ÷ 2 = 1,728 each
Difference is 1,278, so adjust: boys = 1,728 + (1,278 ÷ 2) = 1,728 + 639 = 2,367

(b) Difference in trip money collected [3 marks]

Answer: $15,786 more from boys

Working:

Girls: 1,089 × $18 =$ 19,602
Boys: 2,367 × $15 =$ 35,505
Difference: $35,505 −$ 19,602 = $15,903

Rechecking: 1,089 × 18:

1,089 × 10 = 10,890
1,089 × 8 = 8,712
Total: 19,602 ✓

2,367 × 15:

2,367 × 10 = 23,670
2,367 × 5 = 11,835
Total: 35,505 ✓

Difference: 35,505 − 19,602 = 15,903

Marking:

[1] for correct girls' total or boys' total
[1] for both totals correct
[1] for correct difference

28. Laptop sales graph

(a) Most sales month [1 mark]

Answer: May

Working: 610 is the highest bar value.

Marking: [1] for correct month.

(b) May vs February difference [2 marks]

Answer: 230 more laptops

Working: 610 − 380 = 230

Marking:

[1] for correct values identified from graph
[1] for correct subtraction

(c) Minimum July-December sales [2 marks]

Answer: 3,600 laptops

Working: 600 laptops/month × 6 months = 3,600 laptops

Marking:

[1] for correct multiplication method
[1] for correct answer

MARK SUMMARY

Section	Marks	Student Score
A (MCQ)	10
B (Short Answer)	20
C (Long Answer)	30
TOTAL	60

END OF ANSWER KEY