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Primary 3 Mathematics Semestral Assessment 2 (End of Year) Paper 2
Free Kimi AI-generated P3 Maths SA2 Paper 2 with questions, answers, and syllabus-aligned practice for Singapore students preparing for exams.
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Questions
TuitionGoWhere Exam Practice (AI) - Mathematics Primary 3
Subject: Mathematics
Level: Primary 3
Paper: SA2 Practice Paper
Version: 2 of 5
Duration: 1 hour 15 minutes
Total Marks: 60
Name: _________________________________
Class: ___________
Date: _________________________________
Instructions to Candidates
- Write your name, class, and date in the spaces provided above.
- This paper consists of THREE sections: A, B, and C.
- For Section A, shade the correct answer on the optical answer sheet provided (not shown here).
- For Sections B and C, write your answers and working in the spaces provided.
- Show all your working clearly. Marks will be awarded for correct methods even if the final answer is wrong.
- Use of calculators is not allowed.
- The total marks for this paper is 60.
SECTION A: Multiple Choice Questions (15 marks)
Answer all questions. Each question carries 1 mark.
1. In the number 7,538, what is the value of the digit 7?
A) 7
B) 70
C) 700
D) 7,000
Answer: _______
2. Which of the following numbers is the largest?
A) 5,309
B) 5,390
C) 5,039
D) 5,930
Answer: _______
3. What is 4,725 rounded to the nearest hundred?
A) 4,700
B) 4,720
C) 4,730
D) 4,800
Answer: _______
4. The digit 6 in which number has a value of 600?
A) 1,608
B) 6,184
C) 3,657
D) 8,061
Answer: _______
5. Arrange the following numbers in descending order: 8,042, 8,420, 8,024, 8,240
A) 8,024, 8,042, 8,240, 8,420
B) 8,420, 8,240, 8,042, 8,024
C) 8,420, 8,240, 8,024, 8,042
D) 8,024, 8,240, 8,420, 8,042
Answer: _______
6. What number is 1,000 more than 6,789?
A) 5,789
B) 6,889
C) 7,789
D) 16,789
Answer: _______
7. In a 4-digit number, the digit in the tens place is 5. Which of the following could be the number?
A) 5,432
B) 4,523
C) 3,452
D) 2,345
Answer: _______
8. Which number sentence is correct?
A) 3,456 < 3,465
B) 3,456 > 3,465
C) 3,456 = 3,465
D) 3,456 > 3,564
Answer: _______
9. What is the missing number in the pattern: 2,340, 2,440, _______, 2,640, 2,740?
A) 2,450
B) 2,540
C) 2,550
D) 2,640
Answer: _______
10. The number 9,806 written in words is:
A) Nine thousand, eight hundred and six
B) Nine thousand, eight hundred and sixty
C) Nine thousands, eight hundreds and six
D) Ninety thousand, eight hundred and six
Answer: _______
11. Which of the following is an even number?
A) 4,321
B) 4,567
C) 4,890
D) 5,001
Answer: _______
12. What is the smallest 4-digit number that can be formed using the digits 3, 0, 7, 1?
A) 0,137
B) 1,037
C) 1,307
D) 3,017
Answer: _______
13. 5 thousands, 12 tens and 8 ones = ?
A) 5,128
B) 5,208
C) 6,008
D) 6,128
Answer: _______
14. Which number is exactly halfway between 4,200 and 4,600?
A) 4,300
B) 4,350
C) 4,400
D) 4,500
Answer: _______
15. A number rounds to 7,000 when rounded to the nearest thousand. What could the number be?
A) 6,399
B) 6,499
C) 7,501
D) 7,600
Answer: _______
SECTION B: Short Answer Questions (25 marks)
Answer all questions. Show your working clearly in the spaces provided.
16. (a) Write 5,607 in words. [2 marks]
(b) Write "Eight thousand, two hundred and five" in numerals. [1 mark]
Total for Q16: 3 marks
17. In the number 8,947:
(a) Which digit is in the hundreds place? [1 mark]
(b) What is the value of the digit 9? [1 mark]
(c) What is the value of the digit in the thousands place? [1 mark]
Total for Q17: 3 marks
18. Arrange the following numbers in ascending order:
6,205, 6,502, 6,025, 6,520, 6,250
[2 marks]
19. Complete the number pattern. Explain your answer.
4,850, 4,900, _______, 5,000, _______, 5,100
[2 marks]
20. (a) Round 6,738 to the nearest ten. [1 mark]
(b) Round 6,738 to the nearest hundred. [1 mark]
(c) Round 6,738 to the nearest thousand. [1 mark]
Total for Q20: 3 marks
21. Using the digits 4, 9, 2, 5 without repeating any digit:
(a) What is the largest 4-digit number you can form? [1 mark]
(b) What is the smallest 4-digit number you can form? [1 mark]
(c) What is the difference between your answers in (a) and (b)? [2 marks]
Total for Q21: 4 marks
22. <image_placeholder>
id: Q22-fig1 type: table linked_question: Q22 description: A place value chart showing thousands, hundreds, tens, and ones columns with some digits filled in labels: Thousands column, Hundreds column, Tens column, Ones column values: Thousands=7, Hundreds=?, Tens=3, Ones=5; the number shown is 7,?35 must_show: Four column headers, three filled digits (7, 3, 5), one blank space for hundreds digit, the partial number 7, ?35 </image_placeholder>
The table above shows the number 7,?35 where the hundreds digit is missing.
(a) If the number is between 7,300 and 7,400, what is the missing digit? [1 mark]
(b) What is the value of the number when the missing digit is 8? [1 mark]
Total for Q22: 2 marks
23. <image_placeholder>
id: Q23-fig1 type: number_line linked_question: Q23 description: A number line from 5,800 to 6,200 with tick marks at every 100 labels: Start=5,800, End=6,200, tick marks at 5,900, 6,000, 6,100 values: Arrow pointing to position between 5,900 and 6,000, closer to 5,900 must_show: Number line with labeled endpoints and tick marks, arrow pointing to estimated position </image_placeholder>
Look at the number line above.
(a) What number is the arrow most likely pointing to? (Nearest ten) [1 mark]
(b) Write a number that is greater than the number in part (a) but less than 6,000. [1 mark]
Total for Q23: 2 marks
24. A number has 8 in the thousands place, 4 in the hundreds place, and the digit in the tens place is 2 more than the digit in the ones place. If the digit in the ones place is 3, what is the number?
[2 marks]
25. <image_placeholder>
id: Q25-fig1 type: chart linked_question: Q25 description: Bar graph showing number of books read by four students labels: Students (Ali, Ben, Chloe, Dana), Number of books, vertical axis title values: Ali=15 books, Ben=23 books, Chloe=18 books, Dana=27 books; scale increases by 5 must_show: Four labeled bars with heights matching values, y-axis from 0 to 30 with intervals of 5, title "Books Read by Students" </image_placeholder>
The bar graph shows the number of books read by four students.
(a) How many books did Dana read? [1 mark]
(b) How many more books did Dana read than Ali? [2 marks]
Total for Q25: 3 marks
SECTION C: Word Problems and Problem Solving (20 marks)
Answer all questions. Show your working clearly in the spaces provided.
26. There are 3,240 boys and 2,786 girls in a school.
(a) Are there more boys or girls in the school? [1 mark]
(b) How many more? [2 marks]
(c) What is the total number of students in the school? [2 marks]
Total for Q26: 5 marks
27. <image_placeholder>
id: Q27-fig1 type: diagram linked_question: Q27 description: Place value discs representing a 4-digit number using thousands, hundreds, tens, and ones discs labels: Thousands disc (th), Hundreds disc (h), Tens disc (t), Ones disc (o) values: 4 thousands discs, 0 hundreds discs, 7 tens discs, 5 ones discs must_show: Place value discs arranged by type with count labels, showing 4 thousands, 0 hundreds, 7 tens, 5 ones </image_placeholder>
The diagram shows place value discs representing a number.
(a) What number is represented? [2 marks]
(b) What is the number after adding 2 hundreds to this number? [2 marks]
(c) What happens to the number if you remove all the tens discs? What is the new number? [1 mark]
Total for Q27: 5 marks
28. I am thinking of a number. When I round it to the nearest hundred, I get 5,400. When I round it to the nearest ten, I get 5,350.
(a) What could my number be? Give one possible answer. [2 marks]
(b) What is the smallest possible number I could be thinking of? [1 mark]
(c) What is the largest possible number I could be thinking of? [2 marks]
Total for Q28: 5 marks
29. Using only the digits 2, 6, 0, 9:
(a) Form the largest possible 4-digit number. Explain how you decided. [2 marks]
(b) Form the smallest possible 4-digit number. Explain how you decided. [2 marks]
(c) Find the difference between the largest and smallest numbers you formed in parts (a) and (b). [1 mark]
Total for Q29: 5 marks
END OF PAPER
Section A: 15 marks
Section B: 25 marks
Section C: 20 marks
TOTAL: 60 marks
Answers
TuitionGoWhere Exam Practice (AI) - Mathematics Primary 3
SA2 Practice Paper - Answer Key (Version 2 of 5)
Total Marks: 60
Duration: 1 hour 15 minutes
SECTION A: Multiple Choice Questions (15 marks)
Each question carries 1 mark. Total: 15 marks.
1. In the number 7,538, what is the value of the digit 7?
Answer: D) 7,000
Working/Explanation:
- The digit 7 is in the thousands place.
- Place value: Thousands → 7 × 1,000 = 7,000
- Common mistake: Choosing "7" which is just the digit itself, not its value.
2. Which of the following numbers is the largest?
Answer: D) 5,930
Working/Explanation:
- Compare digits from left to right (thousands → hundreds → tens → ones):
- All have 5 thousands, so compare hundreds:
- 5,930 and 5,390 have 9 hundreds; 5,309 and 5,039 have 3 or 0 hundreds
- Between 5,930 and 5,390: 5,930 has 3 tens, 5,390 has 3 tens... compare ones: 0 vs 0... actually both have 9 hundreds, 3 tens: 5,930 has 0 ones, 5,390 has 0 ones. Wait—check carefully: 5,930 (5 thousands, 9 hundreds, 3 tens, 0 ones) vs 5,390 (5 thousands, 3 hundreds, 9 tens, 0 ones).
- 5,930 > 5,390 because 900 > 300.
- 5,930 is largest.
3. What is 4,725 rounded to the nearest hundred?
Answer: A) 4,700
Working/Explanation:
- Rounding to nearest hundred: look at the tens digit (which is 2).
- If tens digit is 0-4, round down (keep hundreds digit).
- If tens digit is 5-9, round up (increase hundreds digit).
- Tens digit is 2, so round down: 4,700
- Common mistake: Looking at the ones digit (5) instead of the tens digit.
4. The digit 6 in which number has a value of 600?
Answer: A) 1,608
Working/Explanation:
-
Need the digit 6 in the hundreds place (6 × 100 = 600):
- A) 1,608: 6 is in hundreds place ✓
- B) 6,184: 6 is in thousands place (6,000)
- C) 3,657: 6 is in hundreds place ✓ — wait, let me check: 3,657 = 3 thousands, 6 hundreds, 5 tens, 7 ones. Yes 6 is in hundreds.
Let me re-verify: 3,657 — position: 3 (thousands), 6 (hundreds), 5 (tens), 7 (ones). So 6 is in hundreds place with value 600.
Actually both A and C seem correct. Let me recheck C: 3,657 — the digit 6 is in hundreds place, value = 600.
Rechecking A: 1,608 — 1 (thousands), 6 (hundreds), 0 (tens), 8 (ones). Value = 600.
This appears to be an error in my question design. The intended answer was A, but C also works. For marking purposes, A) 1,608 is the designated answer, but teachers should note both are technically correct. In a real exam, this would be caught in review. For this practice paper, accept either answer or use it as a teaching moment about careful reading.
Actually, re-reading: the question asks where 6 has value 600, and in 3,657 the 6 represents 600 as well. This is a design flaw. Accept both A and C as correct, or if forced to choose, A) 1,608 is the intended answer.
Marking note: Award mark for either A or C identified correctly with explanation.
5. Arrange in descending order: 8,042, 8,420, 8,024, 8,240
Answer: B) 8,420, 8,240, 8,042, 8,024
Working/Explanation:
- Descending = largest to smallest
- Compare thousands (all 8), then hundreds:
- 8,420: 4 hundreds
- 8,240: 2 hundreds
- 8,042: 0 hundreds
- 8,024: 0 hundreds
- For 8,042 and 8,024: compare tens: 4 > 2, so 8,042 > 8,024
- Order: 8,420, 8,240, 8,042, 8,024
6. What number is 1,000 more than 6,789?
Answer: C) 7,789
Working/Explanation:
- "1,000 more than" means add 1,000
- 6,789 + 1,000 = 7,789
- The thousands digit increases by 1: 6 → 7
7. In a 4-digit number, the digit in the tens place is 5. Which could be the number?
Answer: D) 2,345
Working/Explanation:
-
Tens place is the second position FROM THE RIGHT (ones, tens, hundreds, thousands):
- A) 5,432: tens digit is 3
- B) 4,523: tens digit is 2
- C) 3,452: tens digit is 5 ✓
- D) 2,345: tens digit is 4
Wait—let me recheck:
- 3,452: 3 (thousands), 4 (hundreds), 5 (tens), 2 (ones) ✓ Correct answer is C
Answer: C) 3,452
My previous work was wrong. The tens digit is 5 in 3,452.
8. Which number sentence is correct?
Answer: A) 3,456 < 3,465
Working/Explanation:
-
Compare 3,456 and 3,465:
- Thousands: both 3
- Hundreds: both 4
- Tens: 5 vs 6 → 5 < 6
- So 3,456 < 3,465 ✓
-
Check others:
- B) 3,456 > 3,465: False (5 < 6 in tens place)
- C) 3,456 = 3,465: False
- D) 3,456 > 3,564: False (3 < 5 in hundreds place)
9. Missing number in pattern: 2,340, 2,440, _______, 2,640, 2,740
Answer: B) 2,540
Working/Explanation:
- Find the pattern: 2,440 − 2,340 = 100
- 2,740 − 2,640 = 100
- Pattern: add 100 each time
- 2,440 + 100 = 2,540
- Verify: 2,540 + 100 = 2,640 ✓
10. 9,806 in words
Answer: A) Nine thousand, eight hundred and six
Working/Explanation:
- 9,000 = nine thousand
- 800 = eight hundred
- 6 = six
- Singapore convention: use "and" between hundreds and tens/ones when tens are zero or absent
- No tens digit given, so "nine thousand, eight hundred and six"
- B is wrong (says sixty)
- C is wrong grammar ("thousands/hundreds" shouldn't be plural in standard form, and missing "and")
- D is wrong (says ninety thousand)
11. Which is an even number?
Answer: C) 4,890
Working/Explanation:
- Even numbers end in 0, 2, 4, 6, or 8
- A) 4,321: ends in 1 → odd
- B) 4,567: ends in 7 → odd
- C) 4,890: ends in 0 → even ✓
- D) 5,001: ends in 1 → odd
12. Smallest 4-digit number from digits 3, 0, 7, 1
Answer: B) 1,037
Working/Explanation:
-
For smallest number: put smallest digits in highest place values
-
BUT: thousands digit cannot be 0 (or it wouldn't be 4-digit)
-
Available digits: 0, 1, 3, 7
-
Thousands digit: smallest non-zero = 1
-
Hundreds digit: next smallest = 0
-
Tens digit: next = 3
-
Ones digit: 7
-
Result: 1,037
-
Common mistake: Choosing 0,137 which is not a valid 4-digit number (it's a 3-digit number 137 with a leading zero).
13. 5 thousands, 12 tens and 8 ones
Answer: D) 6,128
Working/Explanation:
- 5 thousands = 5,000
- 12 tens = 12 × 10 = 120
- 8 ones = 8
- Total: 5,000 + 120 + 8 = 5,128
Wait—let me recheck: 5,000 + 120 + 8 = 5,128
Hmm, that's not among options well... actually 5,128 isn't listed. Let me recheck options: A) 5,128 — no wait, I wrote A) 5,128 originally? Let me look back...
Original says: A) 5,128, B) 5,208, C) 6,008, D) 6,128
Actually in my original I had A) 5,128. But I just recalculated: 5,000 + 120 + 8 = 5,128.
Answer: A) 5,128
But wait, I need to re-examine. Let me check if I made an error in original question...
Looking back at original: I wrote "A) 5,128, B) 5,208, C) 6,008, D) 6,128" — but my working shows 5,128.
However, 12 tens = 120, and 5,000 + 120 + 8 = 5,128.
Unless the question was meant to trick with place value exchange? If 12 tens = 1 hundred + 2 tens, then:
- 5 thousands + 1 hundred + 2 tens + 8 ones = 5,128 still.
Hmm wait, but maybe I miscalculated. Let me recheck: 12 tens is indeed 120.
Actually, is there a possibility I meant something else? Let me assume I made a typo in options and A) 5,128 is correct.
Answer: A) 5,128
If students write out: 12 tens = 120, then 5,000 + 120 + 8 = 5,128.
14. Number halfway between 4,200 and 4,600
Answer: C) 4,400
Working/Explanation:
- "Halfway" means find the middle or average
- Method: (4,200 + 4,600) ÷ 2 = 8,800 ÷ 2 = 4,400
- Or: difference is 400, half of 400 is 200, so 4,200 + 200 = 4,400
- Verify: 4,400 − 4,200 = 200, and 4,600 − 4,400 = 200 ✓
15. Number rounding to 7,000 (nearest thousand)
Answer: B) 6,500 — Actually let me check: 6,499
Working/Explanation:
-
Rounding to nearest thousand: look at hundreds digit
-
If hundreds digit is 5-9, round up; 0-4, round down
-
7,000 rounds from: 6,500 to 7,499
-
Check options:
- A) 6,399: hundreds digit 3 → rounds to 6,000
- B) 6,499: hundreds digit 4 → rounds to 6,000 — wait, that's wrong!
Let me recheck: 6,499. Hundreds digit is 4 (499 = 4 hundreds, 9 tens, 9 ones). So 4 < 5, rounds down to 6,000.
C) 7,501: hundreds digit 5 → rounds to 8,000 D) 7,600: hundreds digit 6 → rounds to 8,000
Hmm, none of these seem right. Let me recheck B: 6,499.
Actually, the boundary is 6,500. Numbers from 6,500 to 7,499 round to 7,000.
- 6,499 is just below 6,500, so rounds to 6,000.
Wait—I think I made an error. Let me check if any answer works:
- Need: 6,500 ≤ number ≤ 7,499
Looking at options again: None satisfy this!
Let me assume I meant 6,501 or there was a typo. Given B) 6,499 is closest to boundary, perhaps the intended answer was 6,501 but I wrote 499.
Marking adjustment: If this appeared in exam, question would be reviewed. For practice, teach that:
- 6,500 to 7,499 → round to 7,000
- So acceptable answers: any number in range [6,500, 7,499]
Award mark for B if student explains 6,499 is close but actually rounds to 6,000; or accept as "nearest to correct boundary value."
Correct answer should be: None exactly, but B) 6,499 is closest below boundary.
Revised correct answer for teaching: A number like 6,501, 6,900, 7,234, etc.
I made an error in question design. Accepted student response: Any number 6,500–7,499; or mark B as incorrect with explanation.
SECTION B: Short Answer Questions (25 marks)
16. (a) Write 5,607 in words. [2 marks]
Answer: Five thousand, six hundred and seven
Working/Explanation:
- 5,000 = five thousand
- 600 = six hundred
- 7 = seven
- Singapore convention: "five thousand, six hundred and seven" (use "and" before the last part when tens are zero/absent)
Marking: 2 marks — deduct 1 mark for missing "and" or incorrect word form.
16. (b) Write "Eight thousand, two hundred and five" in numerals. [1 mark]
Answer: 8,205
Working/Explanation:
- Eight thousand = 8,000
- Two hundred = 200
- Five = 5
- Zero tens (not stated, so 0 in tens place)
- Combine: 8,000 + 200 + 5 = 8,205
Common mistake: Writing 8,250 (swapping tens and ones) or 8,2005.
17. In the number 8,947:
(a) Which digit is in the hundreds place? [1 mark]
Answer: 9
Working/Explanation:
- Position from right: 8,947
- 7: ones → position 1 (rightmost)
- 4: tens → position 2
- 9: hundreds → position 3 ✓
- 8: thousands → position 4
(b) What is the value of the digit 9? [1 mark]
Answer: 900
Working/Explanation:
- The digit 9 is in the hundreds place
- Value = 9 × 100 = 900
- Not just "9" — that's the digit, not its value
(c) What is the value of the digit in the thousands place? [1 mark]
Answer: 8,000
Working/Explanation:
- Thousands place digit is 8
- Value = 8 × 1,000 = 8,000
18. Arrange in ascending order: 6,205, 6,502, 6,025, 6,520, 6,250 [2 marks]
Answer: 6,025, 6,205, 6,250, 6,502, 6,520
Working/Explanation:
- Ascending = smallest to largest
- All start with 6 thousands, so compare hundreds:
- 0 hundreds: 6,025
- 2 hundreds: 6,205, 6,250
- 5 hundreds: 6,502, 6,520
- For 6,205 vs 6,250: tens are 0 vs 5, so 6,205 < 6,250
- For 6,502 vs 6,520: tens are 0 vs 2, so 6,502 < 6,520
Marking: 2 marks — 1 mark for correct order with one error, 0 marks if fundamentally wrong.
19. Complete: 4,850, 4,900, _______, 5,000, _______, 5,100 [2 marks]
Answer: 4,950, 5,050
Explanation:
- Pattern: +50 each time (or observe 4,900 − 4,850 = 50)
- 4,900 + 50 = 4,950
- 5,000 + 50 = 5,050
- Verify: 4,950 + 50 = 5,000 ✓, 5,050 + 50 = 5,100 ✓
Marking: 1 mark per correct blank
20. Round 6,738:
(a) To the nearest ten [1 mark]
Answer: 6,740
Working:
- Look at ones digit: 8
- 8 ≥ 5, so round up: 30 + 10 = 40, but careful: 38 → 40
- Result: 6,740
(b) To the nearest hundred [1 mark]
Answer: 6,700
Working:
- Look at tens digit: 3
- 3 < 5, so round down
- Result: 6,700
(c) To the nearest thousand [1 mark]
Answer: 7,000
Working:
- Look at hundreds digit: 7
- 7 ≥ 5, so round up: 6,000 → 7,000
- Result: 7,000
21. Using digits 4, 9, 2, 5:
(a) Largest 4-digit number [1 mark]
Answer: 9,542
Method: Place largest digits in highest place values: 9 > 5 > 4 > 2
- Thousands: 9, Hundreds: 5, Tens: 4, Ones: 2
(b) Smallest 4-digit number [1 mark]
Answer: 2,459
Method: Place smallest digits in highest place values: 2 > 4 > 5 > 9
- Thousands: 2, Hundreds: 4, Tens: 5, Ones: 9
(c) Difference [2 marks]
Answer: 9,542 − 2,459 = 7,083
Working:
9,542
− 2,459
--------
- Ones: 2 − 9, borrow: 12 − 9 = 3
- Tens: 3 − 5, borrow: 13 − 5 = 8
- Hundreds: 4 − 4 = 0
- Thousands: 8 − 2 = 6... wait let me redo
Actually:
- 9,542: 9 thousands, 5 hundreds, 4 tens, 2 ones
- −2,459
Step by step:
- Ones: 2 < 9, borrow from tens. Tens is 4, becomes 3, ones becomes 12. 12 − 9 = 3
- Tens: 3 < 5, borrow from hundreds. Hundreds is 5, becomes 4, tens becomes 13. 13 − 5 = 8
- Hundreds: 4 − 4 = 0
- Thousands: 9 − 2 = 7
Result: 7,083
22. Place value chart: 7,?35
(a) Missing digit if between 7,300 and 7,400 [1 mark]
Answer: 3
Working:
- 7,300 to 7,400 means 7,300 ≤ number < 7,400
- Number is 7,?35
- For 7,?35 to be in this range: 7,300 ≤ 7,?35 < 7,400
- So ? must be 3: 7,335
(b) Value when missing digit is 8 [1 mark]
Answer: 7,835
23. Number line 5,800 to 6,200
(a) Arrow pointing between 5,900 and 6,000, closer to 5,900 [1 mark]
Answer: Approximately 5,930 or 5,940 (accept any answer 5,910–5,950)
Expected: 5,930 (nearest ten, closer to 5,900)
(b) Number greater than part (a) but less than 6,000 [1 mark]
Answer: Any number from 5,931 to 5,999 (e.g., 5,950 or 5,980)
24. Number with 8 thousands, 4 hundreds, tens = ones + 2, ones = 3 [2 marks]
Answer: 8,453
Working:
- Thousands: 8
- Hundreds: 4
- Ones: given as 3
- Tens: ones + 2 = 3 + 2 = 5
- Number: 8,453
25. Bar graph: Books Read
(a) Dana's books [1 mark]
Answer: 27 books
(b) How many more than Ali? [2 marks]
Answer: 27 − 15 = 12 more books
Working:
- Dana: 27 books
- Ali: 15 books
- Difference: 27 − 15 = 12
SECTION C: Word Problems (20 marks)
26. 3,240 boys and 2,786 girls
(a) More boys or girls? [1 mark]
Answer: More boys
Reason: 3,240 > 2,786 (compare thousands: both 3 and 2, or 3,000 > 2,000)
(b) How many more? [2 marks]
Answer: 3,240 − 2,786 = 454 more boys
Working:
3,240
− 2,786
--------
- Ones: 0 − 6, borrow: 10 − 6 = 4
- Tens: 3 − 8, borrow: 13 − 8 = 5
- Hundreds: 1 − 7, borrow: 11 − 7 = 4
- Thousands: 2 − 2 = 0
Result: 454
(c) Total students [2 marks]
Answer: 3,240 + 2,786 = 6,026 students
Working:
3,240
+ 2,786
--------
- Ones: 0 + 6 = 6
- Tens: 4 + 8 = 12, write 2, carry 1
- Hundreds: 2 + 7 + 1 = 10, write 0, carry 1
- Thousands: 3 + 2 + 1 = 6
Result: 6,026
27. Place value discs: 4 thousands, 0 hundreds, 7 tens, 5 ones
(a) What number? [2 marks]
Answer: 4,075
Working:
- 4 × 1,000 = 4,000
- 0 × 100 = 0
- 7 × 10 = 70
- 5 × 1 = 5
- Total: 4,000 + 0 + 70 + 5 = 4,075
(b) Add 2 hundreds [2 marks]
Answer: 4,075 + 200 = 4,275
Working:
- Original hundreds: 0
- New hundreds: 0 + 2 = 2
- Number becomes: 4,275
- Or: 4,075 + 200 = 4,275
(c) Remove all tens discs [1 mark]
Answer: 4,005
Explanation:
- Remove 7 tens = remove 70
- 4,075 − 70 = 4,005
- Or: keep 4 thousands, 0 hundreds, 0 tens, 5 ones = 4,005
28. Number rounded to 5,400 (nearest hundred) and 5,350 (nearest ten)
(a) One possible number [2 marks]
Answer: 5,347, 5,348, 5,349, 5,350, 5,351, 5,352, or 5,353
Working:
- Rounds to 5,350 when rounded to nearest ten: 5,345 ≤ number ≤ 5,354
- Rounds to 5,400 when rounded to nearest hundred: 5,350 ≤ number ≤ 5,449
- Overlap: 5,350 ≤ number ≤ 5,354
Any of 5,350, 5,351, 5,352, 5,353, 5,354 works.
Actually recheck: 5,350 rounded to nearest hundred:
- 5,350: hundreds digit is 3, tens digit is 5 → round up to 5,400 ✓
So 5,350 to 5,354 inclusive.
One possible answer: 5,352
(b) Smallest possible number [1 mark]
Answer: 5,350
(c) Largest possible number [2 marks]
Answer: 5,354
Explanation:
- Must round to 5,350 (nearest ten): upper limit is 5,354 (5,355 would round to 5,360)
- Must round to 5,400 (nearest hundred): 5,354 rounds to 5,400 ✓
- 5,355 would round to 5,360 (nearest ten), too high
- So maximum is 5,354
29. Digits 2, 6, 0, 9
(a) Largest 4-digit number [2 marks]
Answer: 9,620
Explanation:
- Cannot use 0 in thousands place
- Arrange remaining digits (9, 6, 2, 0) from largest to smallest: 9 > 6 > 2 > 0
- Largest: 9,620
Why this order: We want the biggest possible number, so we put the biggest digit (9) in the most valuable place (thousands), then next biggest (6) in hundreds, then 2 in tens, then 0 in ones.
(b) Smallest 4-digit number [2 marks]
Answer: 2,069
Explanation:
- Thousands digit: smallest non-zero digit available = 2 (cannot use 0)
- Remaining digits: 0, 6, 9
- Arrange from smallest to largest: 0 < 6 < 9
- Result: 2,069
Why not 0,269? Because that's only a 3-digit number (269 with leading zero). A 4-digit number must start with 1-9.
(c) Difference [1 mark]
Answer: 9,620 − 2,069 = 7,551
Working:
9,620
− 2,069
--------
- Ones: 0 − 9, borrow: 10 − 9 = 1
- Tens: 1 − 6, borrow: 11 − 6 = 5
- Hundreds: 5 − 0 = 5... wait, recheck: 6 became 5 after borrow, then 5 − 0 = 5? No, let me redo.
Actually:
- 9,620: 9 thousands, 6 hundreds, 2 tens, 0 ones
- 2,069: 2 thousands, 0 hundreds, 6 tens, 9 ones
Step by step:
- Ones: 0 < 9, borrow from tens. Tens is 2, becomes 1, ones becomes 10. 10 − 9 = 1
- Tens: 1 < 6, borrow from hundreds. Hundreds is 6, becomes 5, tens becomes 11. 11 − 6 = 5
- Hundreds: 5 − 0 = 5
- Thousands: 9 − 2 = 7
Result: 7,551
SECTION TOTALS
| Section | Marks |
|---|---|
| A | 15 marks |
| B | 25 marks |
| C | 20 marks |
| TOTAL | 60 marks |
END OF ANSWER KEY