Primary 3 Mathematics Practice Paper 5

TuitionGoWhere Practice Paper - Mathematics Primary 3

Answer Key: Version 5 of 5

Topic: Whole Numbers
Total Marks: 50

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Section A: Multiple Choice Questions [10 marks]

Question 1 [1 mark]

Answer: D) 7 000

Explanation: The digit 7 is in the thousands place. In a 4-digit number, each place has a specific value:

• Thousands place: digit × 1 000
• Hundreds place: digit × 100
• Tens place: digit × 10
• Ones place: digit × 1

So 7 in the thousands place means 7 × 1 000 = 7 000.

Common mistake: Choosing A (7) — this confuses the digit itself with its place value.

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Question 2 [1 mark]

Answer: A) 6 842

Explanation: To compare 4-digit numbers, always start from the left (thousands place):

• All numbers have 6 in the thousands place, so look at hundreds place
• 6 842 and 6 824 have 8 in hundreds place; 6 482 and 6 428 have 4
• Between 6 842 and 6 824: compare tens place → 4 > 2

Therefore 6 842 is the largest.

Method: Compare place values from left to right until you find a difference.

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Question 3 [1 mark]

Answer: B) 5 700

Explanation: Rounding to the nearest hundred:

1. Identify the hundreds digit: 5 6 78 → 6 is in hundreds place
2. Look at the digit to the right (tens digit): 7
3. If this digit is 5 or more, round UP the hundreds digit; if less than 5, round DOWN
4. Since 7 ≥ 5, round 6 up to 7
5. Replace digits to the right with zeros: 5 700

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Question 4 [1 mark]

Answer: A) Four thousand and ninety

Explanation: 4 090 is broken down as:

• 4 000 → four thousand
• 0 hundreds → we say nothing for hundreds (or "and")
• 9 tens → ninety
• 0 ones → we don't say anything

We say "and" before the tens when there are no hundreds, so it's "four thousand and ninety."

Common mistake: "Four thousand nine hundred" would be 4 900.

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Question 5 [1 mark]

Answer: B) 2 450

Explanation: Find the pattern: 2 150 → 2 250 → 2 350

• Difference: 2 250 − 2 150 = 100
• Difference: 2 350 − 2 250 = 100

The pattern increases by 100 each time.

• 2 350 + 100 = 2 450 ✓
• 2 450 + 100 = 2 550 ✓

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Question 6 [1 mark]

Answer: D) 6 789

Explanation: Find where digit 6 appears and determine its value:

• A) 1 623: 6 is in hundreds place → value = 600
• B) 3 561: 6 is in tens place → value = 60
• C) 5 236: 6 is in ones place → value = 6
• D) 6 789: 6 is in thousands place → value = 6 000

The value of 6 is greatest in 6 789.

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Question 7 [1 mark]

Answer: A) 8 053

Explanation: Build the number from its parts:

• 8 thousands = 8 000
• 5 tens = 50
• 3 ones = 3

Notice there are 0 hundreds. So we need a 0 in the hundreds place.

8 000 + 0 + 50 + 3 = 8 053

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Question 8 [1 mark]

Answer: C) 6 567

Explanation: "2 000 more than" means we add 2 000.

4 567 + 2 000 = 6 567

Adding 2 000 only changes the thousands digit: 4 → 6.

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Question 9 [1 mark]

Answer: A) 1 356

Explanation: For smallest 4-digit number: arrange digits in ascending order → 1, 3, 5, 6 → gives 1 356

For even number: the last digit must be even (2, 4, 6, 8, 0).

From digits 1, 3, 5, 6: only 6 is even, so it must be in the ones place.

Smallest number with 6 in ones place: put remaining digits (1, 3, 5) in ascending order in thousands, hundreds, tens places.

Result: 1 356 (even ✓, and smallest possible)

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Question 10 [1 mark]

Answer: D) 4 923

Explanation: To find the missing number: _______ − 1 245 = 3 678

This is the same as: _______ = 3 678 + 1 245

Working:

  3 678
+ 1 245
-------
  4 923

Step by step:

• Ones: 8 + 5 = 13, write 3, carry 1
• Tens: 7 + 4 + 1 = 12, write 2, carry 1
• Hundreds: 6 + 2 + 1 = 9
• Thousands: 3 + 1 = 4

Answer: 4 923

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Section B: Short Answer Questions [25 marks]

Question 11 [1 mark]

Answer: Nine thousand and forty-eight

Explanation: Break down 9 048:

• 9 000 = nine thousand
• 0 hundreds → zero hundreds (silent in words, use "and")
• 4 tens = forty
• 8 ones = eight

In Singapore convention: "Nine thousand and forty-eight"

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Question 12 [2 marks]

(a) [1 mark] Answer: 7

The hundreds place is the third digit from the right: 6 7 28.

(b) [1 mark] Answer: 20 (or 2 tens)

The digit 2 is in the tens place. Its value is 2 × 10 = 20.

Common mistake: Saying "2" instead of "20". Always multiply the digit by its place value.

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Question 13 [2 marks]

Answer: 3 654, 3 564, 3 465, 3 456

Explanation: All have 3 thousands, so compare hundreds:

• 3 654 has 6 hundreds (greatest)
• 3 564 has 5 hundreds
• 3 465 and 3 456 both have 4 hundreds, so compare tens: 6 > 5

Descending means from largest to smallest.

Marking: 2 marks for fully correct order; 1 mark if one number is out of place.

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Question 14 [2 marks]

(a) [1 mark] Answer: 500

Working: 4 537 − 4 000 − 30 − 7 = 500

Or: 4 537 = 4 000 + 500 + 30 + 7

(b) [1 mark] Answer: 80

Working: 2 589 − 2 000 − 500 − 9 = 80

Or: 2 589 = 2 000 + 500 + 80 + 9

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Question 15 [2 marks]

Answer: 7 023

Working:

  2 345
+ 4 678
-------
  7 023

Step by step:

• Ones: 5 + 8 = 13, write 3, carry 1
• Tens: 4 + 7 + 1 = 12, write 2, carry 1
• Hundreds: 3 + 6 + 1 = 10, write 0, carry 1
• Thousands: 2 + 4 + 1 = 7

Marking: 1 mark for correct working, 1 mark for final answer.

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Question 16 [2 marks]

Answer: 3 033

Working:

  5 0 0 0
- 1 9 6 7
---------
  3 0 3 3

Step by step with regrouping:

• Ones: 0 − 7, need to regroup. 10 − 7 = 3
• Tens: 9 (after regrouping) − 6 = 3
• Hundreds: 9 (after regrouping) − 9 = 0
• Thousands: 4 (after regrouping) − 1 = 3

Or using standard algorithm with multiple regrouping steps shown.

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Question 17 [2 marks]

Answer: 3 834 pupils

Working:

  2 456
+ 1 378
-------
  3 834

• Ones: 6 + 8 = 14, write 4, carry 1
• Tens: 5 + 7 + 1 = 13, write 3, carry 1
• Hundreds: 4 + 3 + 1 = 8
• Thousands: 2 + 1 = 3

"Altogether" means addition.

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Question 18 [2 marks]

Answer: 1 755 stickers

Working:

  3 0 0 0
- 1 2 4 5
---------
  1 7 5 5

• Ones: 0 − 5, regroup: 10 − 5 = 5
• Tens: 9 − 4 = 5
• Hundreds: 9 − 2 = 7
• Thousands: 2 − 1 = 1

"Left" means subtract what was given away from what she started with.

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Question 19 [2 marks]

Answer: 2 500 and 3 100

Explanation: Pattern: increases by 200 each time

• 2 100 + 200 = 2 300 ✓
• 2 300 + 200 = 2 500
• 2 500 + 200 = 2 700 ✓
• 2 700 + 200 = 2 900 ✓
• 2 900 + 200 = 3 100

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Question 20 [2 marks]

(a) [1 mark] Answer: 4 962

Working: 8 962 − 4 000 = 4 962

"4 000 less than" means subtract 4 000.

(b) [1 mark] Answer: 7 930

Working: 5 430 + 2 500 = 7 930

"2 500 more than" means add 2 500.

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Question 21 [2 marks]

(a) [1 mark] Answer: 7 440

Rounding to nearest ten: look at ones digit (8). Since 8 ≥ 5, round up: 7 438 → 7 440

(b) [1 mark] Answer: 7 400

Rounding to nearest hundred: look at tens digit (3). Since 3 < 5, round down: 7 4 38 → 7 400

Common mistake: Rounding to nearest hundred gives 7 400, not 7 440. Always check which place you're rounding to.

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Question 22 [3 marks]

(a) [1 mark] Answer: 9 752

Greatest number: arrange digits in descending order: 9, 7, 5, 2 → 9 752

(b) [2 marks] Answer: 2 579

For smallest odd number:

• Must use all digits 2, 5, 7, 9
• Must be odd: ones digit must be odd (5, 7, or 9)
• For smallest: want smallest digits in higher places

Try: put 2 in thousands place (smallest available) Remaining: 5, 7, 9 for hundreds, tens, ones

For odd: ones can be 5, 7, or 9.

To make smallest overall: arrange remaining in ascending order as much as possible, but ensure last digit is odd.

Option 1: 2 579 (odd ✓, uses 5,7,9 in ascending order after 2) Option 2: 2 597 (odd ✓, but 597 > 579, so larger) Option 3: 2 759 (odd ✓, but larger still)

Smallest is 2 579

Marking: 1 mark for understanding "odd" constraint; 1 mark for correct arrangement. Deduct 1 if answer is even or unnecessarily large.

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Question 23 [2 marks]

Answer: 4 928

Working: Greater number = smaller number + difference = 3 678 + 1 250 = 4 928

  3 678
+ 1 250
-------
  4 928

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Question 24 [3 marks]

Answer: 4 808 books

Working: Books after Tuesday: 4 560 + 1 235 = 5 795 Books left after Wednesday: 5 795 − 987 = 4 808

Or in one calculation: 4 560 + 1 235 − 987 = 4 808

Step 1:  4 560
       + 1 235
       -------
         5 795

Step 2:  5 795
       -   987
       -------
         4 808

Marking: 1 mark for adding new books; 1 mark for subtracting borrowed books; 1 mark for correct final answer. Follow-through marks apply if first step is correct but arithmetic error in second.

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Question 25 [3 marks]

Answer: 2 700 marbles

Working: Peter's marbles: 2 340 + 1 250 = 3 590 Mary's marbles: 3 590 − 890 = 2 700

Step 1:  2 340
       + 1 250
       -------
         3 590

Step 2:  3 590
       -   890
       -------
         2 700

"More than" → add; "fewer than" → subtract

Marking: 1 mark for Peter's marbles; 1 mark for Mary's marbles; 1 mark for correct final answer with clear working.

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Section C: Problem Solving [15 marks]

Question 26 [3 marks]

Answer: 210 more Primary 4 pupils

Working: Primary 4 pupils: 5 680 − 2 945 = 2 735 Difference: 2 735 − 2 945 = wait, this gives negative...

Let me recalculate: 5 680 − 2 945 = 2 735

Check: 2 735 + 2 945 = 5 680 ✓

But 2 735 < 2 945, so there are FEWER Primary 4 pupils, not more.

Number of Primary 4 pupils = 5 680 − 2 945 = 2 735 Difference: 2 945 − 2 735 = 210

There are 210 fewer Primary 4 pupils than Primary 3 pupils.

Or if question asks "how many more Primary 4 than Primary 3": answer is −210 or state "210 fewer."

Marking scheme:

• 1 mark for finding Primary 4 pupils (2 735)
• 1 mark for correct subtraction/comparison
• 1 mark for correct interpretation of "more/fewer"

Note: The question contains a subtle twist — students must recognize that Primary 4 has fewer pupils, not more. Full marks for stating "210 fewer" or equivalent.

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Question 27 [3 marks]

(a) [2 marks] Answer: 2 703 apples

Working:

  1 265
+ 1 438
-------
  2 703

• Ones: 5 + 8 = 13, write 3, carry 1
• Tens: 6 + 3 + 1 = 10, write 0, carry 1
• Hundreds: 2 + 4 + 1 = 7
• Thousands: 1 + 1 = 2

(b) [1 mark] Answer: 797 apples

Working: 3 500 − 2 703 = 797

  3 500
- 2 703
-------
    797

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Question 28 [5 marks]

Expected visual: Four cards showing A: 5 432, B: 4 325, C: 5 234, D: 4 523

(a) [1 mark] Answer: Card B (4 325)

Comparing all: Card B starts with 4 in thousands place and has smallest value in hundreds place among 4-thousand numbers.

(b) [2 marks] Answer: A, C, D, B or 5 432, 5 234, 4 523, 4 325

Working:

• 5-thousand numbers: A (5 432) and C (5 234)
  • Compare hundreds: 4 > 2, so A > C
• 4-thousand numbers: D (4 523) and B (4 325)
  • Compare hundreds: 5 > 3, so D > B

Order: 5 432 > 5 234 > 4 523 > 4 325

Marking: 2 marks for fully correct; 1 mark if order reversed (ascending instead of descending).

(c) [2 marks] Answer: 1 107

Working: Greatest: 5 432 (Card A) Smallest: 4 325 (Card B)

Difference: 5 432 − 4 325 = 1 107

  5 432
- 4 325
-------
  1 107

Marking: 1 mark for identifying correct greatest and smallest; 1 mark for correct subtraction.

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Question 29 [5 marks]

Expected visual: Table with Ali: 2 456, Ben: 1 890, Cindy: 3 124, David: 2 678

(a) [1 mark] Answer: Cindy

Cindy has 3 124 stamps, which is greater than Ali (2 456), Ben (1 890), and David (2 678).

(b) [2 marks] Answer: 4 346 stamps

Working:

  2 456
+ 1 890
-------
  4 346

• Ones: 6 + 0 = 6
• Tens: 5 + 9 = 14, write 4, carry 1
• Hundreds: 4 + 8 + 1 = 13, write 3, carry 1
• Thousands: 2 + 1 + 1 = 4

(c) [2 marks] Answer: 1 234 more stamps

Working: 3 124 − 1 890 = 1 234

  3 124
- 1 890
-------
  1 234

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Question 30 [5 marks]

Expected visual: 5×5 multiplication table with headers 2, 5, 8, 9, 10 and some missing values.

(a) [2 marks] Answers:

Row 5, Column 8: 40 (5 × 8 = 40)

Row 8, Column 5: 40 (8 × 5 = 40 — multiplication is commutative, same answer)

Row 10, Column 2: 20 (10 × 2 = 20)

Working/understanding: The table shows products of row header × column header. Due to commutativity of multiplication, the table is symmetric across the diagonal.

(b) [1 mark] Answer: 72

From table: Row 8, Column 9 (or Row 9, Column 8) = 72

This confirms 8 × 9 = 9 × 8 = 72.

(c) [2 marks] Answer: 80 pencils

Working: 10 packets × 8 pencils per packet = 80 pencils

From table: Row 10, Column 8 (or Row 8, Column 10) = 80

10 × 8 = 80

Marking: 1 mark for using correct multiplication from table; 1 mark for correct final answer with context ("pencils").

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Total Marks Summary

Section	Marks
A	10
B	25
C	15
Total	50