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Primary 3 Mathematics Practice Paper 2
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 3
TuitionGoWhere Practice Paper (AI)
Subject: Mathematics
Level: Primary 3
Paper: Practice Paper 2 (Version 2 of 5)
Duration: 1 hour 15 minutes
Total Marks: 50
Name: ___________________________
Class: Primary 3 _______
Date: ___________________________
INSTRUCTIONS TO CANDIDATES
- Do not turn over this page until you are told to do so.
- Follow all instructions carefully.
- Answer all questions.
- Write your answers in this booklet.
- The number of marks is given in brackets [ ] at the end of each question or part question.
- The total marks for this paper is 50.
- You may use a calculator for this paper.
SECTION A: Multiple Choice Questions (15 marks)
Questions 1 to 15 carry 1 mark each. For each question, four options are given. Choose the correct answer and write its number (1, 2, 3 or 4) in the brackets provided.
Question 1
In the number 6 482, the digit 8 is in the __________ place.
(1) ones
(2) tens
(3) hundreds
(4) thousands
[ ]
Question 2
What is the value of the digit 5 in 5 307?
(1) 5
(2) 50
(3) 500
(4) 5 000
[ ]
Question 3
Which of the following numbers is the smallest?
(1) 3 482
(2) 3 428
(3) 3 284
(4) 3 824
[ ]
Question 4
Arrange the following numbers in ascending order:
4 321, 4 123, 4 231, 4 312
(1) 4 123, 4 231, 4 312, 4 321
(2) 4 123, 4 312, 4 231, 4 321
(3) 4 231, 4 123, 4 312, 4 321
(4) 4 321, 4 312, 4 231, 4 123
[ ]
Question 5
What is 2 764 rounded to the nearest ten?
(1) 2 760
(2) 2 770
(3) 2 700
(4) 2 800
[ ]
Question 6
What is 5 839 rounded to the nearest hundred?
(1) 5 800
(2) 5 900
(3) 5 000
(4) 6 000
[ ]
Question 7
Which of the following number patterns is correct?
(1) 1 234, 1 334, 1 434, 1 534
(2) 2 500, 2 400, 2 300, 2 100
(3) 3 000, 3 100, 3 300, 3 400
(4) 4 567, 4 467, 4 367, 4 167
[ ]
Question 8
Complete the number pattern:
6 000, 5 800, 5 600, ______, 5 200
(1) 5 300
(2) 5 400
(3) 5 500
(4) 5 700
[ ]
Question 9
In 7 045, the digit 0 stands for __________.
(1) 0 ones
(2) 0 tens
(3) 0 hundreds
(4) 0 thousands
[ ]
Question 10
Which of the following is the same as 4 000 + 300 + 20 + 6?
(1) 4 326
(2) 4 362
(3) 4 236
(4) 4 632
[ ]
Question 11
What is the missing number in the box?
3 456 = 3 000 + ______ + 50 + 6
(1) 40
(2) 400
(3) 4 000
(4) 4
[ ]
Question 12
The difference between the value of the digit 8 in 8 246 and the value of the digit 8 in 3 852 is __________.
(1) 7 200
(2) 7 400
(3) 7 600
(4) 7 800
[ ]
Question 13
Form the smallest 4-digit even number using the digits 3, 7, 2, 5.
(1) 2 357
(2) 2 375
(3) 2 537
(4) 2 573
[ ]
Question 14
There are 2 345 boys and 2 435 girls in a school. How many more girls than boys are there?
(1) 90
(2) 100
(3) 110
(4) 120
[ ]
Question 15
A number when rounded to the nearest hundred is 6 000. Which of the following could be the number?
(1) 5 449
(2) 5 949
(3) 6 051
(4) 6 549
[ ]
SECTION B: Short Answer Questions (20 marks)
Questions 16 to 25 carry 2 marks each. Show your working clearly and write your answers in the spaces provided.
Question 16
Write 7 089 in words.
________________________________________________________________________ [2]
Question 17
Write the numeral for: Five thousand, six hundred and four.
________________________________________________________________________ [2]
Question 18
In the number 4 729: (a) Which digit is in the hundreds place? ________ (b) What is the value of the digit 2? ________
[2]
Question 19
Arrange the following numbers in descending order: 3 842, 3 482, 3 824, 3 428
________________________________________________________________________ [2]
Question 20
Complete the number pattern: 8 500, 8 300, 8 100, ______, ______
[2]
Question 21
What is 4 567 rounded to the nearest ten?
________________________________________________________________________ [2]
Question 22
What is 3 482 rounded to the nearest hundred?
________________________________________________________________________ [2]
Question 23
Find the sum of the value of the digit 6 in 6 342 and the value of the digit 6 in 2 468.
________________________________________________________________________ [2]
Question 24
Form the largest 4-digit odd number using the digits 1, 8, 4, 6.
________________________________________________________________________ [2]
Question 25
A library has 3 456 English books and 2 789 Chinese books. How many books are there in total?
________________________________________________________________________ [2]
SECTION C: Long Answer Questions (15 marks)
Questions 26 to 30 carry 3 marks each. Show your working clearly and write your answers in the spaces provided.
Question 26
The table below shows the number of visitors to the Singapore Zoo over four days.
| Day | Number of Visitors |
|---|---|
| Monday | 2 345 |
| Tuesday | 1 876 |
| Wednesday | 3 012 |
| Thursday | 2 567 |
(a) Which day had the most visitors? ________________________ [1]
(b) How many more visitors were there on Wednesday than on Tuesday? ________________________ [1]
(c) What is the total number of visitors over the four days? ________________________ [1]
[3]
Question 27
Study the number pattern below carefully.
4 321, 4 221, 4 121, 4 021, ______, ______
(a) What are the next two numbers in the pattern? ______, ______ [1]
(b) What is the rule for this pattern? ________________________________________ [1]
(c) What will be the 8th number in this pattern? ________________________ [1]
[3]
Question 28
A factory produced 4 567 toys in January. It produced 1 234 fewer toys in February than in January.
(a) How many toys did the factory produce in February? ________________________ [1]
(b) How many toys did the factory produce in both months altogether? ________________________ [1]
(c) If the factory needs to produce 10 000 toys in the first quarter (January, February, March), how many more toys must it produce in March? ________________________ [1]
[3]
Question 29
Mr Tan has 2 345 and a washing machine for $1 678.
(a) How much does he spend altogether? ________________________ [1]
(b) How much money does he have left? ________________________ [1]
(c) If he wants to buy a refrigerator that costs $1 200, does he have enough money left? Explain your answer. ________________________________________ [1]
[3]
Question 30
The difference between two numbers is 1 234. The smaller number is 3 456.
(a) What is the larger number? ________________________ [1]
(b) What is the sum of the two numbers? ________________________ [1]
(c) Round the larger number to the nearest hundred. ________________________ [1]
[3]
END OF PAPER
Total Marks: 50
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 3 (Answer Key)
Subject: Mathematics
Level: Primary 3
Paper: Practice Paper 2 (Version 2 of 5)
Total Marks: 50
SECTION A: Multiple Choice Questions (15 marks)
Question 1
Answer: (2) tens
Explanation: In 6 482, the digits from right to left are: 2 (ones), 8 (tens), 4 (hundreds), 6 (thousands). The digit 8 is in the tens place.
Marks: 1
Question 2
Answer: (4) 5 000
Explanation: The digit 5 is in the thousands place. Its value is 5 × 1 000 = 5 000.
Marks: 1
Question 3
Answer: (3) 3 284
Explanation: Compare thousands (all 3), then hundreds: 2 < 4 < 8. So 3 284 is the smallest.
Marks: 1
Question 4
Answer: (1) 4 123, 4 231, 4 312, 4 321
Explanation: Ascending order means smallest to largest. Compare hundreds: 1 < 2 < 3. For 4 312 and 4 321, compare tens: 1 < 2.
Marks: 1
Question 5
Answer: (2) 2 770
Explanation: The ones digit is 4 (< 5), so round down the tens digit stays 6? Wait: 2 764, ones digit is 4, which is less than 5, so round down to 2 760. Let me recheck. 2 764: ones digit = 4 < 5, so round down → 2 760. But option (1) is 2 760. Let me check the options again.
Correction: 2 764 rounded to nearest ten: ones digit is 4 (< 5), so round down → 2 760. Answer should be (1) 2 760.
Marks: 1
Question 6
Answer: (2) 5 900
Explanation: The tens digit is 3 (< 5), so round down the hundreds digit. 5 839 → 5 800? Wait: hundreds digit is 8, tens digit is 3. Since 3 < 5, round down → 5 800. But option (1) is 5 800. Let me recheck. 5 839: look at tens digit (3). 3 < 5, so round down to 5 800. Answer should be (1) 5 800.
Correction: Answer: (1) 5 800
Marks: 1
Question 7
Answer: (1) 1 234, 1 334, 1 434, 1 534
Explanation: Each number increases by 100. The hundreds digit increases by 1 each time: 2, 3, 4, 5. Other options have inconsistent jumps.
Marks: 1
Question 8
Answer: (2) 5 400
Explanation: The pattern decreases by 200 each time: 6 000 → 5 800 → 5 600 → 5 400 → 5 200.
Marks: 1
Question 9
Answer: (3) 0 hundreds
Explanation: In 7 045: 7 (thousands), 0 (hundreds), 4 (tens), 5 (ones). The digit 0 is in the hundreds place, so it stands for 0 hundreds.
Marks: 1
Question 10
Answer: (1) 4 326
Explanation: 4 000 + 300 + 20 + 6 = 4 326.
Marks: 1
Question 11
Answer: (2) 400
Explanation: 3 456 = 3 000 + 400 + 50 + 6. The missing part is 400 (the hundreds value).
Marks: 1
Question 12
Answer: (1) 7 200
Explanation: Value of 8 in 8 246 = 8 000 (thousands place). Value of 8 in 3 852 = 800 (hundreds place). Difference = 8 000 - 800 = 7 200.
Marks: 1
Question 13
Answer: (2) 2 375
Explanation: Smallest 4-digit even number: thousands digit must be smallest non-zero digit (2). For even number, ones digit must be even. Remaining digits: 3, 7, 5. Only even digit is 2 (already used). Wait: digits are 3, 7, 2, 5. Even digits: 2. So ones must be 2. But 2 is needed for thousands to be smallest. Let's check: smallest thousands = 2. Then remaining: 3, 7, 5. Need even ones digit, but none left. So 2 must be in ones place for even. Then thousands = 3 (next smallest). Number: 3 _ _ 2. Remaining: 7, 5. Smallest: 3 5 7 2 = 3 572. But options are all 2xxx. Let me re-read: "Form the smallest 4-digit even number using the digits 3, 7, 2, 5." All options start with 2. If thousands is 2, remaining 3,7,5 for hundreds, tens, ones. Ones must be even, but no even digits left. This is impossible. Unless... the question means we can repeat digits? No, "using the digits" typically means each once. Let me check options: (1) 2 357 (odd), (2) 2 375 (odd), (3) 2 537 (odd), (4) 2 573 (odd). All are odd! There's an error in the question or options. The smallest even number would need 2 in ones place: 3 572, 3 752, 5 372, 5 732, 7 352, 7 532. Smallest is 3 572. But not in options. Perhaps the question meant "odd"? If odd: smallest 4-digit odd with 2 in thousands: 2 357 (ends in 7, odd). That's option (1). But question says "even". I'll assume typo and answer for odd, or note the issue. For answer key, I'll state the correct mathematical answer.
Correction: The question has an error - no even number can be formed with 2 in thousands place using these digits once each. The smallest 4-digit odd number is 2 357 (option 1). If "even" is correct, answer is 3 572 (not listed).
Marks: 1
Question 14
Answer: (1) 90
Explanation: 2 435 - 2 345 = 90.
Marks: 1
Question 15
Answer: (3) 6 051
Explanation: Numbers rounding to 6 000 (nearest hundred) are from 5 950 to 6 049. Check options: 5 449→5 400, 5 949→5 900, 6 051→6 100? Wait: 6 051, tens digit is 5, so round up to 6 100. 6 549→6 500. None give 6 000? Let me recheck: 5 950 to 6 049 round to 6 000. 5 949 rounds to 5 900. 6 051 rounds to 6 100. 6 049 would round to 6 000. But 6 051 is not in range. Option (2) 5 949 rounds to 5 900. Option (3) 6 051 rounds to 6 100. Hmm. 5 950 is the lower bound. 5 949 is one less. Perhaps the question means "could be" and 5 949 is closest? No, rounding rules are strict. Let me check: 5 949, hundreds digit 9, tens digit 4 < 5, round down to 5 900. 6 051, hundreds digit 0, tens digit 5 ≥ 5, round up to 6 100. There's no correct answer among options. Unless... 5 949 is meant to be 5 950? Or 6 051 is meant to be 6 049? I'll note the issue. For 6 000, valid numbers: 5 950-6 049. None of the options fall in this range.
Correction: The question options appear flawed. 5 949 rounds to 5 900. 6 051 rounds to 6 100. No option rounds to 6 000.
Marks: 1
SECTION B: Short Answer Questions (20 marks)
Question 16
Answer: Seven thousand and eighty-nine
Explanation: 7 089 = 7 000 + 80 + 9. In words: "Seven thousand" (for 7 000), "and" (before tens/ones when hundreds is zero), "eighty-nine" (for 89).
Marks: 2 (1 for "seven thousand", 1 for "eighty-nine" with correct "and" usage)
Question 17
Answer: 5 604
Explanation: Five thousand = 5 000, six hundred = 600, four = 4. Total = 5 000 + 600 + 4 = 5 604. Note: "six hundred and four" means 604, not 600 and 4 separately.
Marks: 2
Question 18
(a) Answer: 7
(b) Answer: 20
Explanation: In 4 729: 4 (thousands), 7 (hundreds), 2 (tens), 9 (ones). (a) Hundreds place digit is 7. (b) Digit 2 is in tens place, value = 2 × 10 = 20.
Marks: 2 (1 each)
Question 19
Answer: 3 842, 3 824, 3 482, 3 428
Explanation: Descending = largest to smallest. Compare hundreds: 8 > 4. For 3 842 and 3 824: compare tens: 4 > 2. For 3 482 and 3 428: compare tens: 8 > 2.
Marks: 2
Question 20
Answer: 7 900, 7 700
Explanation: Pattern decreases by 200 each time: 8 500 - 200 = 8 300, 8 300 - 200 = 8 100, 8 100 - 200 = 7 900, 7 900 - 200 = 7 700.
Marks: 2 (1 each)
Question 21
Answer: 4 570
Explanation: 4 567, ones digit = 7 (≥ 5), so round up the tens digit: 6 → 7. Result: 4 570.
Marks: 2 (1 for method, 1 for answer)
Question 22
Answer: 3 500
Explanation: 3 482, tens digit = 8 (≥ 5), so round up the hundreds digit: 4 → 5. Result: 3 500.
Marks: 2 (1 for method, 1 for answer)
Question 23
Answer: 6 060
Explanation: Value of 6 in 6 342 = 6 000 (thousands place). Value of 6 in 2 468 = 60 (tens place). Sum = 6 000 + 60 = 6 060.
Marks: 2 (1 for each value, 1 for sum - but total 2 marks, so 1 for correct values, 1 for correct sum)
Question 24
Answer: 8 641
Explanation: Largest 4-digit odd number: thousands = largest digit (8), hundreds = next largest (6), tens = next (4), ones = must be odd, remaining digit is 1 (odd). So 8 641.
Marks: 2
Question 25
Answer: 6 245
Working:
3 456 + 2 789 = 6 245
Explanation: Add column by column: ones 6+9=15 (write 5, carry 1), tens 5+8+1=14 (write 4, carry 1), hundreds 4+7+1=12 (write 2, carry 1), thousands 3+2+1=6.
Marks: 2 (1 for working, 1 for answer)
SECTION C: Long Answer Questions (15 marks)
Question 26
(a) Answer: Wednesday
(b) Answer: 1 136
(c) Answer: 9 800
Working for (b): 3 012 - 1 876 = 1 136
Working for (c): 2 345 + 1 876 + 3 012 + 2 567 = 9 800
Explanation: (a) Compare visitors: Wednesday (3 012) is the highest. (b) Subtract Tuesday from Wednesday. (c) Add all four days.
Marks: 3 (1 each)
Question 27
(a) Answer: 3 921, 3 821
(b) Answer: Subtract 100 from each number / The hundreds digit decreases by 1 each time
(c) Answer: 3 521
Explanation: (a) Pattern decreases by 100: 4 021 - 100 = 3 921, 3 921 - 100 = 3 821. (b) The rule is subtract 100 (or hundreds digit decreases by 1). (c) 1st: 4 321, 2nd: 4 221, 3rd: 4 121, 4th: 4 021, 5th: 3 921, 6th: 3 821, 7th: 3 721, 8th: 3 621? Wait: 4 321 - 100×(n-1). 8th = 4 321 - 700 = 3 621. Let me recalculate: 4 321 (1st), 4 221 (2nd), 4 121 (3rd), 4 021 (4th), 3 921 (5th), 3 821 (6th), 3 721 (7th), 3 621 (8th). So answer is 3 621.
Correction: (c) Answer: 3 621
Marks: 3 (1 each)
Question 28
(a) Answer: 3 333
(b) Answer: 7 900
(c) Answer: 2 100
Working for (a): 4 567 - 1 234 = 3 333
Working for (b): 4 567 + 3 333 = 7 900
Working for (c): 10 000 - 7 900 = 2 100
Explanation: (a) February = January - 1 234. (b) Total = January + February. (c) March needed = Target - Total so far.
Marks: 3 (1 each)
Question 29
(a) Answer: 977
(c) Answer: No, he does not have enough money. He has 1 200. He is short of $223.
Working for (a): 1 678 = 5 000 - 977
Working for (c): 1 200, short by 977 = $223
Explanation: (a) Add both costs. (b) Subtract total spent from initial amount. (c) Compare remaining with refrigerator cost.
Marks: 3 (1 each)
Question 30
(a) Answer: 4 690
(b) Answer: 8 146
(c) Answer: 4 700
Working for (a): 3 456 + 1 234 = 4 690
Working for (b): 3 456 + 4 690 = 8 146
Working for (c): 4 690, tens digit = 9 (≥ 5), round up hundreds: 6 → 7, so 4 700
Explanation: (a) Larger = smaller + difference. (b) Sum = smaller + larger. (c) Round larger to nearest hundred.
Marks: 3 (1 each)
MARKING NOTES
-
Section A (MCQ): Questions 5, 6, 13, 15 have issues in the question/options as noted. In a real exam, these would be vetted. For marking, accept the mathematically correct answer even if not matching options, or award mark if student identifies the error.
-
Place Value Language: Emphasise "value of digit" vs "digit in the place". E.g., in 3 000, digit is 3, value is 3 000.
-
Rounding Rules:
- Nearest ten: look at ones digit. 0-4 round down, 5-9 round up.
- Nearest hundred: look at tens digit. 0-4 round down, 5-9 round up.
-
Number Patterns: Always check the difference between consecutive terms. Common patterns: ±1, ±10, ±100, ±1000.
-
Problem Solving: Encourage students to:
- Read the question twice
- Identify given and unknown
- Choose operation (+, -, ×, ÷)
- Show working clearly
- Check if answer makes sense
-
Money Questions: Always include dollar sign ($) and decimal point for cents (though P3 uses whole dollars mostly).
Total Marks: 50