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Primary 3 Mathematics Semestral Assessment 2 (End of Year) Paper 3

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Questions

TuitionGoWhere Practice Paper — Mathematics Primary 3

School: TuitionGoWhere Secondary School (AI) Subject: Mathematics Level: Primary 3 Paper: SA2 (End-of-Year Examination) — Version 3 of 5 Duration: 60 minutes Total Marks: 50

Name: ___________________________
Class: ___________________________
Date: ___________________________

Instructions to Candidates

Write your name, class, and date in the spaces provided above.
Answer all questions in the spaces provided.
Show all working clearly. Marks may be awarded for correct working even if the final answer is wrong.
Do not use correction fluid or tape.
Calculators are not allowed.
The total mark for this paper is 50.
Check your work before submitting.

Section A: Multiple Choice Questions (10 marks)

Questions 1–10: Choose the correct answer (A, B, C, or D). Each question carries 1 mark. Shade your answer clearly or write the letter in the space provided.

1. What is the value of the digit 6 in the number 6,248?

A. 6
B. 60
C. 600
D. 6,000

Answer: ______

2. Which digit is in the hundreds place in the number 3,751?

A. 3
B. 7
C. 5
D. 1

Answer: ______

3. Arrange the following numbers in ascending order:

5,432 5,234 5,423 5,342

A. 5,234 5,342 5,423 5,432
B. 5,432 5,423 5,342 5,234
C. 5,234 5,423 5,342 5,432
D. 5,342 5,234 5,432 5,423

Answer: ______

4. Which of the following is the smallest even number?

A. 4,109
B. 4,107
C. 4,108
D. 4,103

Answer: ______

5. Round 3,762 to the nearest hundred.

A. 3,700
B. 3,760
C. 3,800
D. 4,000

Answer: ______

6. Which number is 1,000 more than 4,589?

A. 4,689
B. 5,489
C. 5,589
D. 4,599

Answer: ______

7. Write seven thousand and sixty-three in numerals.

A. 763
B. 7,630
C. 7,063
D. 7,603

Answer: ______

8. In the number 8,040, the digit 0 is in the __________ place.

A. ones
B. tens
C. hundreds
D. thousands

Answer: ______

9. Find the missing number in the pattern:

2,350 2,450 2,550 ________ 2,750

A. 2,600
B. 2,650
C. 2,560
D. 2,555

Answer: ______

10. Which number is the largest?

A. 6,999
B. 7,001
C. 6,909
D. 7,010

Answer: ______

Section B: Short Answer Questions (20 marks)

Questions 11–20: Write your answer in the space provided. Show all working where necessary. Each question carries 2 marks.

11. Write the following number in words:

4,805

12. What is the value of each digit in the number 5,372?

Digit	Value
5	__________
3	__________
7	__________
2	__________

13. Arrange the following numbers in descending order:

3,618 3,816 3,168 3,861

14. Fill in the blanks:

(a) 2,000 + 400 + 60 + 9 = __________
(b) 9,503 = 9,000 + __________ + 0 + 3

15. Round each number to the nearest ten.

(a) 4,237 → __________
(b) 7,895 → __________

16. Find the missing numbers in the pattern:

1,500 2,000 2,500 __________ __________

17. Use the digits 3, 8, 1, 6 (each digit used once) to form:

(a) The largest possible 4-digit number: __________
(b) The smallest possible 4-digit number: __________

18. Compare the two numbers using >, <, or =.

(a) 5,472 __________ 5,427
(b) 8,009 __________ 8,090

19. A number is even. It is between 6,200 and 6,210. The digit in the tens place is 0. What is the number?

20. Write the number that is:

3 thousands, 0 hundreds, 4 tens, and 7 ones

Section C: Structured / Problem-Solving Questions (20 marks)

Questions 21–25: Show all working clearly. Write your answer in the space provided. Marks are awarded for correct working.

21. (4 marks)

The table below shows the number of books in four school libraries.

Library	Number of Books
Red	4,325
Blue	4,532
Green	4,235
Yellow	4,523

(a) Which library has the most books? __________ (1 mark)

(b) Which library has the fewest books? __________ (1 mark)

22. (4 marks)

A shop sold 2,845 pens in January and 3,155 pens in February.

(a) How many pens did the shop sell in both months altogether? (2 marks)

Working:

(b) How many more pens were sold in February than in January? (2 marks)

Working:

23. (4 marks)

A number has the following properties:

It is greater than 5,000 and less than 5,100.
The digit in the tens place is 7.
The digit in the ones place is 3.

(a) Write down the number. (2 marks)

(b) Round this number to the nearest hundred. (2 marks)

Working:

24. (4 marks)

Complete the number pattern and explain the rule.

9,997 9,998 9,999 __________ __________

(a) Write the next two numbers. (2 marks)

(b) What is the rule for this pattern? (1 mark)

25. (4 marks)

Tom wrote a 4-digit number. The following clues describe his number:

The digit in the thousands place is 2.
The digit in the hundreds place is 8.
The digit in the tens place is 0.
The digit in the ones place is 5.

(a) What is Tom's number? (2 marks)

(b) Write Tom's number in words. (1 mark)

— End of Paper —

Answers

TuitionGoWhere Practice Paper — Mathematics Primary 3

SA2 (End-of-Year Examination) — Version 3 of 5

Answer Key and Marking Scheme

Total Marks: 50

Section A: Multiple Choice Questions (10 marks, 1 mark each)

1. What is the value of the digit 6 in 6,248?

The digit 6 is in the thousands place.
Value of 6 = 6 × 1,000 = 6,000
Answer: D ✅

Marking: 1 mark for correct answer. No partial marks.

2. Which digit is in the hundreds place in 3,751?

Breaking down 3,751: 3 (thousands), 7 (hundreds), 5 (tens), 1 (ones)
Answer: B ✅

Marking: 1 mark for correct answer.

3. Arrange in ascending order: 5,432, 5,234, 5,423, 5,342

Compare from left to right: all start with 5 (thousands).
Compare hundreds: 2 < 3 < 4 = 4
For 5,423 and 5,432 (both have 4 hundreds): compare tens → 2 < 3
Order: 5,234 < 5,342 < 5,423 < 5,432
Answer: A ✅

Marking: 1 mark for correct answer.

4. Which is the smallest even number?

Check evenness (last digit must be 0, 2, 4, 6, or 8):
- A. 4,109 → ends in 9 → odd ❌
- B. 4,107 → ends in 7 → odd ❌
- C. 4,108 → ends in 8 → even ✅
- D. 4,103 → ends in 3 → odd ❌
Only C is even, so it is the smallest even number.
Answer: C ✅

Marking: 1 mark. Common mistake: students may pick A or D without checking evenness.

5. Round 3,762 to the nearest hundred.

Look at the tens digit: 6
Since 6 ≥ 5, round up.
3,762 → 3,800
Answer: C ✅

Marking: 1 mark. Common mistake: students round to the nearest ten (3,760) — that is option B.

6. Which number is 1,000 more than 4,589?

4,589 + 1,000 = 5,589
Answer: C ✅

Marking: 1 mark. Common mistake: adding only 100 (giving 4,689 — option A).

7. Write seven thousand and sixty-three in numerals.

Seven thousand = 7,000
Sixty-three = 63
7,000 + 63 = 7,063
Answer: C ✅

Marking: 1 mark. Common mistake: writing 7,630 (confusing sixty-three with six hundred thirty).

8. In 8,040, the digit 0 is in the __________ place.

8,040 broken down: 8 (thousands), 0 (hundreds), 4 (tens), 0 (ones)
The first 0 is in the hundreds place.
Answer: C ✅

Marking: 1 mark.

9. Pattern: 2,350, 2,450, 2,550, ________, 2,750

Difference between terms: 2,450 − 2,350 = 100
2,550 + 100 = 2,650
Check: 2,650 + 100 = 2,750 ✅
Answer: B ✅

Marking: 1 mark.

10. Which number is the largest?

A. 6,999
B. 7,001
C. 6,909
D. 7,010
Compare thousands: 7,000s (B, D) are larger than 6,000s (A, C).
Between B and D: 7,010 > 7,001
Answer: D ✅

Marking: 1 mark. Common mistake: students may pick A (6,999) thinking it is close to 7,000 but not comparing properly.

Section B: Short Answer Questions (20 marks, 2 marks each)

11. Write 4,805 in words.

4,000 = four thousand
800 = eight hundred
5 = five
Answer: Four thousand, eight hundred and five ✅

Marking: 2 marks for correct answer. 1 mark if "and" is missing or minor spelling error, provided the number words are correct. Accept "four thousand eight hundred five" (American style) for 1 mark.

12. Value of each digit in 5,372:

Digit	Value
5	5,000
3	300
7	70
2	2

Marking: 2 marks for all four correct. 1 mark for 2–3 correct. 0 marks for 0–1 correct. Common mistake: writing the digit itself instead of its value (e.g., writing "5" instead of "5,000").

13. Arrange in descending order: 3,618, 3,816, 3,168, 3,861

All start with 3 (thousands).
Compare hundreds: 8 = 8 > 6 > 1
For 3,816 and 3,861 (both have 8 hundreds): compare tens → 6 > 1
Answer: 3,861, 3,816, 3,618, 3,168 ✅

Marking: 2 marks for fully correct descending order. 1 mark if order is ascending instead of descending (common mistake). 0 marks if more than one pair is out of order.

14. Fill in the blanks:

(a) 2,000 + 400 + 60 + 9 = 2,469 ✅

(b) 9,503 = 9,000 + 500 + 0 + 3 ✅

Marking: 1 mark per part. 2 marks total.

15. Round to the nearest ten:

(a) 4,237 → Look at ones digit: 7 ≥ 5, round up → 4,240 ✅

(b) 7,895 → Look at ones digit: 5 ≥ 5, round up → 7,900 ✅

Marking: 1 mark per part. Common mistake in (b): students may write 7,890 (rounding down) or 7,990 (adding 10 incorrectly).

16. Pattern: 1,500, 2,000, 2,500, __________, __________

Difference: 2,000 − 1,500 = 500
2,500 + 500 = 3,000
3,000 + 500 = 3,500
Answer: 3,000 and 3,500 ✅

Marking: 2 marks for both correct. 1 mark if only one is correct.

17. Using digits 3, 8, 1, 6 (each used once):

(a) Largest 4-digit number: arrange digits in descending order → 8,631 ✅

(b) Smallest 4-digit number: arrange digits in ascending order → 1,368 ✅

Marking: 1 mark per part. Common mistake in (b): students may write 1,386 (not fully ascending).

18. Compare using >, <, or =:

(a) 5,472 > 5,427 ✅
(Same thousands and hundreds; compare tens: 7 > 2)

(b) 8,009 < 8,090 ✅
(Same thousands; compare hundreds: 0 < 9)

Marking: 1 mark per part. Common mistake in (b): students may compare 009 and 090 as if they are the same, or misread the place values.

19. A number is even, between 6,200 and 6,210, tens digit is 0.

Numbers between 6,200 and 6,210: 6,201, 6,202, 6,203, 6,204, 6,205, 6,206, 6,207, 6,208, 6,209
Tens digit is 0: all of the above have 0 in tens place ✓
Must be even: last digit must be 0, 2, 4, 6, or 8
Even numbers in the list: 6,202, 6,204, 6,206, 6,208
The question implies a single answer; the most natural reading is the smallest even number satisfying all conditions.
Answer: 6,202 ✅

Marking: 2 marks for correct answer. Accept 6,202, 6,204, 6,206, or 6,208 if student shows reasoning, but 6,202 is the expected answer. 1 mark for identifying the range correctly but missing the even condition.

20. Write the number: 3 thousands, 0 hundreds, 4 tens, and 7 ones

3,000 + 0 + 40 + 7 = 3,047
Answer: 3,047 ✅

Marking: 2 marks for correct answer. 1 mark if student writes 3,470 (confusing tens and hundreds) or 3,407 (confusing tens and ones).

Section C: Structured / Problem-Solving Questions (20 marks)

21. (4 marks)

Library	Number of Books
Red	4,325
Blue	4,532
Green	4,235
Yellow	4,523

(a) Most books: Compare all numbers.

4,532 (Blue) is the largest.
Answer: Blue ✅ (1 mark)

(b) Fewest books:

4,235 (Green) is the smallest.
Answer: Green ✅ (1 mark)

For Blue (4,532) and Yellow (4,523): compare tens → 2 < 3, so Yellow < Blue
Answer: Green (4,235), Red (4,325), Yellow (4,523), Blue (4,532) ✅ (2 marks)

Marking for (c): 2 marks for fully correct order. 1 mark if one pair is swapped. 0 marks if the order is largely incorrect.

22. (4 marks)

January: 2,845 pens; February: 3,155 pens

(a) Total pens sold in both months:

  2,845
+ 3,155
-------
  6,000

5 + 5 = 10, write 0, carry 1
4 + 5 + 1 = 10, write 0, carry 1
8 + 1 + 1 = 10, write 0, carry 1
2 + 3 + 1 = 6
Answer: 6,000 pens ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working, or for correct working with a minor arithmetic error.

(b) More pens in February than January:

  3,155
- 2,845
-------
    310

5 − 5 = 0
5 − 4 = 1
1 − 8: borrow → 11 − 8 = 3
2 − 2 = 0
Answer: 310 pens ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working, or for correct method with minor error.

23. (4 marks)

Clues: Greater than 5,000 and less than 5,100; tens digit is 7; ones digit is 3.

(a) The number is between 5,000 and 5,100, so it is 5,0__.

Tens digit is 7, ones digit is 3.
Answer: 5,073 ✅ (2 marks)

Marking: 2 marks for correct answer. 1 mark if student writes 5,703 (placing 7 in hundreds instead of tens).

(b) Round 5,073 to the nearest hundred:

Look at the tens digit: 7
Since 7 ≥ 5, round up.
5,073 → 5,100 ✅ (2 marks)

Marking: 2 marks for correct answer with working. 1 mark for correct answer without working. Common mistake: students may write 5,000 (rounding down) or 5,070 (rounding to nearest ten).

24. (4 marks)

Pattern: 9,997, 9,998, 9,999, __________, __________

(a) Next two numbers:

Rule: add 1 each time
9,999 + 1 = 10,000
10,000 + 1 = 10,001
Answer: 10,000 and 10,001 ✅ (2 marks)

Marking: 2 marks for both correct. 1 mark if only one is correct. Common mistake: students may write 10,000 and 10,010 (adding 10 instead of 1 after crossing into 5 digits).

(b) Rule: Add 1 to the previous number (or "count on by 1") ✅ (1 mark)

Marking: 1 mark for any equivalent description of the rule.

9,999 is the last 4-digit number.
9,999 + 1 = 10,000 ✅ (1 mark)

Marking: 1 mark for correct answer.

25. (4 marks)

Clues: thousands = 2, hundreds = 8, tens = 0, ones = 5

(a) Tom's number: 2,805 ✅ (2 marks)

Marking: 2 marks for correct answer. 1 mark if one digit is in the wrong place.

(b) 2,805 in words: Two thousand, eight hundred and five ✅ (1 mark)

Marking: 1 mark. Accept minor variations (e.g., "two thousand eight hundred five").

8 is in the hundreds place.
Value = 8 × 100 = 800 ✅ (1 mark)

Marking: 1 mark. Common mistake: writing "8" instead of "800".

Summary of Marks

Section	Description	Marks
A	Multiple Choice (Q1–10)	10
B	Short Answer (Q11–20)	20
C	Structured / Problem-Solving (Q21–25)	20
Total		50

Common Mistakes to Watch For

"Value of digit" vs "digit itself": Students often write the digit (e.g., "6") instead of its value (e.g., "6,000"). Remind students that value = digit × place value.
Ascending vs. descending: Students frequently confuse the two. Ascending = smallest to largest; descending = largest to smallest.
Rounding errors: Students may look at the wrong digit when rounding (e.g., looking at the ones digit when rounding to the nearest hundred instead of the tens digit).
Number words: "Seven thousand and sixty-three" is 7,063, not 7,630. The word "and" typically separates the whole number from the remainder.
Crossing into 5 digits: When patterns go from 9,999 to 10,000, students may struggle with the transition. Reinforce that 9,999 + 1 = 10,000.
Even/odd confusion: Students may forget that even numbers end in 0, 2, 4, 6, or 8.

End of Answer Key