Primary 3 Mathematics Practice Paper 4

Primary 3 Mathematics Quiz - Whole Numbers (Answer Key)

Total Marks: 50

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Section A: Multiple Choice (1 mark each)

1. D) 7,000

Concept: The digit 7 is in the thousands place. In a 4-digit number, each place has a value: ones (1), tens (10), hundreds (100), thousands (1,000). So 7 in the thousands place means 7 × 1,000 = 7,000. Common mistake: Choosing 7 (the digit itself) instead of its place value.

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2. A) 4,096

Concept: To compare 4-digit numbers, start from the left (thousands place). All numbers have 4 in the thousands place. Compare the hundreds place: 0 (in 4,096), 6 (in 4,609), 1 (in 4,160), 9 (in 4,901). Since 0 < 1 < 6 < 9, the smallest number is 4,096.

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3. B) 5,700

Concept: Rounding to the nearest hundred: look at the tens digit. In 5,678, the tens digit is 7. Since 7 ≥ 5, we round up: 5,600 + 100 = 5,700. Method: If tens digit is 5 or more, round up; if 4 or less, round down.

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4. C) 4,596

Concept: Check the tens place (second digit from right) in each number: A) 5, B) 5, C) 9, D) 6. Only option C has 9 in the tens place. The number 4,596 means 4 thousands, 5 hundreds, 9 tens, and 6 ones.

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5. B) 1,550

Concept: Find the pattern by subtracting consecutive terms: 1,350 − 1,250 = 100, 1,450 − 1,350 = 100. The pattern increases by 100 each time. So 1,450 + 100 = 1,550. Verification: 1,550 + 100 = 1,650 ✓

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Section B: Short Answer (2 marks each)

6. Eight thousand and forty-two (or "eight thousand, forty-two")

Concept: When there's a zero in the hundreds place, we say "and" or use a comma, then continue. We don't say "zero hundreds." Marking: 2 marks for correct answer; 1 mark if "eight thousand, zero hundred and forty-two" (incorrect but shows understanding).

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7. 6,713

Concept: Break down the words: "six thousand" → 6,000; "seven hundred" → 700; "and thirteen" → 13. Combine: 6,000 + 700 + 13 = 6,713. Note: "And" connects hundreds to the remaining part.

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8. 9

Concept: In 3,928, the places from left to right are: 3 (thousands), 9 (hundreds), 2 (tens), 8 (ones). The hundreds digit is 9, with value 900.

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9. 5,000 (or "five thousand")

Concept: The digit 5 is in the thousands place in 5,431. Its value is 5 × 1,000 = 5,000. Common mistake: Answering "5" (the digit) or "500" (wrong place).

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10. 2,018, 2,108, 2,180, 2,801

Method: All numbers start with 2, so compare hundreds place: 0 (2,018), 1 (2,108), 1 (2,180), 8 (2,801). For 2,108 and 2,180 (both have 1 hundred), compare tens: 0 < 8, so 2,108 < 2,180. Ascending order means smallest to largest.

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11. 4,023

Working:

  2,345
+ 1,678
--------
  4,023

Step-by-step: 5 + 8 = 13 (write 3, carry 1); 4 + 7 + 1 = 12 (write 2, carry 1); 3 + 6 + 1 = 10 (write 0, carry 1); 2 + 1 + 1 = 4. Marking: 1 mark for correct method with working shown, 1 mark for correct final answer.

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12. 3,766

Working:

  5,000
- 1,234
--------
  3,766

Step-by-step: Need to regroup (borrow). 0 − 4: borrow from 0 (which borrows from 5). 5 becomes 4, middle 0 becomes 10, then lends to right 0: becomes 9, right 0 becomes 10. 10 − 4 = 6; 9 − 3 = 6; 9 − 2 = 7; 4 − 1 = 3. Marking: 1 mark for correct borrowing method shown, 1 mark for correct answer.

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13. 1,285

Working: 4,050 − 2,765

  4,050
- 2,765
--------
  1,285

Step-by-step: 0 − 5: borrow. 5 becomes 4, 0 becomes 10, then 10 − 5 = 5; 4 − 6: need to borrow. 0 becomes 9 (after borrowing), 4 becomes 3, wait—let's restart carefully: 4,050: thousands=4, hundreds=0, tens=5, ones=0. Borrow from tens: 5→4, ones 0→10. 10−5=5. Now tens: 4−6, need to borrow from hundreds. Hundreds is 0, so borrow from thousands: 4→3, hundreds 0→10, then lend to tens: 10→9, tens 4→14. 14−6=8. Hundreds: 9−7=2. Thousands: 3−2=1. Answer: 1,285. Marking: 1 mark for working with correct borrowing, 1 mark for final answer.

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14. 4,443 students

Working: 2,456 + 1,987

  2,456
+ 1,987
--------
  4,443

Step-by-step: 6 + 7 = 13 (3, carry 1); 5 + 8 + 1 = 14 (4, carry 1); 4 + 9 + 1 = 14 (4, carry 1); 2 + 1 + 1 = 4. "Altogether" means addition. Marking: 1 mark for correct operation chosen and method shown, 1 mark for correct answer with units.

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15. 1,355 cookies

Working: 3,200 − 1,845

  3,200
- 1,845
--------
  1,355

Step-by-step: 0 − 5: borrow. 0→9 (after chain borrow), 2→1 (wait: 3,200: 3 thousands, 2 hundreds, 0 tens, 0 ones). Borrow: 2→1, hundreds; 0→10 tens; 0→10 ones, but then 10 tens → 9 tens, 0→10 ones. 10−5=5; 9−4=5; 1−8: need to borrow from 3. 3→2, 1→11. 11−8=3; 2−1=1. Answer: 1,355. "Left" means subtraction. Marking: 1 mark for correct operation and working, 1 mark for correct answer with units.

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Section C: Problem Solving (3 marks each)

16. 526,900 (or 527,000 if rounded)

Working: 237,800 + 289,100 = 526,900 Step-by-step:

  237,800
+ 289,100
---------
  526,900

0+0=0; 0+0=0; 8+1=9; 7+9=16 (6, carry 1); 3+8+1=12 (2, carry 1); 2+2+1=5.

Round to nearest thousand: Look at hundreds digit (9). Since 9 ≥ 5, round up: 526,900 → 527,000.

Marking breakdown: 1 mark for correct addition; 1 mark for correct rounding method shown; 1 mark for final rounded answer. Note: If student writes 526,900 without rounding, award 2 marks only.

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17.

(a) 2,057

Visual check: The place value chart shows 2 counters in thousands, 0 in hundreds, 5 in tens, 7 in ones. Number = 2,000 + 0 + 50 + 7 = 2,057.

(b) 50 (or "5 tens" or "fifty")

Concept: The tens digit is 5, so its value is 5 × 10 = 50. Common mistake: Answering "5" (the digit, not its value).

(c) 2,157

Working: 2,057 + 100 = 2,157. When we add 100, the hundreds digit increases by 1: 0 + 1 = 1. The other digits stay the same. Concept: Adding 100 affects only the hundreds place.

Marking: (a) 1 mark; (b) 1 mark; (c) 1 mark (including working shown).

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18. 4,935 storybooks

Working: Step 1: Find books remaining after sale 4,560 − 1,875 = 2,685

  4,560
- 1,875
--------
  2,685

Step 2: Add new delivery 2,685 + 2,340 = 5,025? Let me recheck: 2,685 + 2,340:

  2,685
+ 2,340
--------
  5,025

Wait—let me recheck: 5+0=5; 8+4=12 (2, carry 1); 6+3+1=10 (0, carry 1); 2+2+1=5. So 5,025? No wait, let me re-read: 4,560 - 1,875.

4,560 - 1,875: 0-5 borrow: 6→5, 0→10→9, borrow again: 5→4, 0→10. Actually let's be careful: 4,560 has 4 thousands, 5 hundreds, 6 tens, 0 ones.

• Ones: 0-5, borrow from tens: 6→5, 0→10. 10-5=5
• Tens: 5-7, borrow from hundreds: 5→4, 5→15. 15-7=8
• Hundreds: 4-8, borrow from thousands: 4→3, 4→14. 14-8=6? No wait, we had 5 hundreds originally, borrowed so 4, now need to borrow: 4→14 after borrowing from 4. 14-8=6.
• Thousands: 3-1=2. So 4,560 - 1,875 = 2,685. ✓

Then 2,685 + 2,340 = 5,025? But let me recheck: 2,685 + 2,340. 5+0=5; 8+4=12, write 2, carry 1; 6+3+1=10, write 0, carry 1; 2+2+1=5. Answer: 5,025.

Wait—I need to recheck. The expected answer should be verified. Actually, I made an error. Let me recalculate 4,560 - 1,875 more carefully.

4,560 -1,875

?

Start from right: 0 - 5: can't, borrow from 6 (tens). 6 becomes 5, 0 becomes 10. 10 - 5 = 5. ✓

Tens: 5 - 7: can't, borrow from 5 (hundreds). 5 becomes 4, 5 becomes 15. 15 - 7 = 8. ✓

Hundreds: 4 - 8: can't, borrow from 4 (thousands). 4 becomes 3, 4 becomes 14. 14 - 8 = 6. ✓

Thousands: 3 - 1 = 2. ✓

Result: 2,685. ✓

Now 2,685 + 2,340: 5 + 0 = 5 8 + 4 = 12, write 2, carry 1 6 + 3 + 1 = 10, write 0, carry 1 2 + 2 + 1 = 5

Result: 5,025.

Marking breakdown: 1 mark for correct first step (subtraction) with working; 1 mark for correct second step (addition); 1 mark for correct final answer with units. Note: Many students do 4,560 + 2,340 first—wrong operation. Award 0 marks for method if operations are in wrong order.

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19.

(a) Museum D (or "Museum D with 4,201 visitors")

Method: Compare all numbers: 4,201 > 4,128 > 3,456 > 2,975. The largest is 4,201, belonging to Museum D.

(b) Museum C, Museum A, Museum B, Museum D (or C, A, B, D)

Method: Ascending order means smallest to largest: 2,975 < 3,456 < 4,128 < 4,201.

(c) 6,431 visitors

Working: 3,456 + 2,975

  3,456
+ 2,975
--------
  6,431

Step-by-step: 6+5=11 (1, carry 1); 5+7+1=13 (3, carry 1); 4+9+1=14 (4, carry 1); 3+2+1=6. Marking: (a) 1 mark; (b) 1 mark; (c) 1 mark (with working).

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20. Muthu has 1,626 stickers. They have 2,876 stickers altogether.

Working: Step 1: Find Muthu's stickers. "Jason has 376 fewer than Muthu" means Muthu has MORE. Muthu: 1,250 + 376 = 1,626

  1,250
+   376
--------
  1,626

Step 2: Find total stickers Total: 1,250 + 1,626 = 2,876

  1,250
+ 1,626
--------
  2,876

Marking breakdown: 1 mark for correct interpretation and calculation of Muthu's stickers (with working); 1 mark for correct total calculation; 1 mark for both answers correct with clear statement. Common mistake: Doing 1,250 − 376 = 874 (wrong operation for "fewer than").

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End of Answer Key