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Primary 5 Mathematics Practice Paper 2
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Questions
TuitionGoWhere Practice Paper - Mathematics Primary 5
TuitionGoWhere Practice Paper (AI) — Version 2
Subject: Mathematics
Level: Primary 5
Paper: Practice Paper 2 (Whole Numbers Focus)
Duration: 1 hour 30 minutes
Total Marks: 50
Name: ________________________
Class: Primary 5 _____
Date: _______________
Instructions to Candidates
- Do not open this booklet 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.
- Show all working clearly in the space provided.
Section A: Multiple Choice Questions (10 marks)
Questions 1 to 5 carry 2 marks 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.
1. In the number 4 728 391, which digit is in the ten thousands place? [2]
(1) 2
(2) 7
(3) 8
(4) 3
Answer: (_____)
2. Round 3 847 256 to the nearest hundred thousand. [2]
(1) 3 800 000
(2) 3 850 000
(3) 3 900 000
(4) 4 000 000
Answer: (_____)
3. Which of the following has the same value as 5 000 000 + 300 000 + 40 000 + 6 000 + 200 + 90 + 7? [2]
(1) 5 346 297
(2) 5 346 279
(3) 5 346 927
(4) 5 364 297
Answer: (_____)
4. Find the value of 72 × (500 − 300) ÷ 12. [2]
(1) 1 200
(2) 1 400
(3) 1 600
(4) 1 800
Answer: (_____)
5. A factory produced 2 450 toys on Monday. It produced 3 times as many toys on Tuesday as on Monday. How many toys did the factory produce on both days? [2]
(1) 7 350
(2) 9 800
(4) 9 800
(4) 12 250
Answer: (_____)
Section B: Short Answer Questions (20 marks)
Questions 6 to 15 carry 2 marks each. Show your working clearly and write your answers in the spaces provided. For questions which require units, give your answers in the units stated.
6. Write 6 080 405 in words. [2]
Answer: _______________________________________________________________
7. What is the value of the digit 9 in the number 8 942 317? [2]
Answer: _______________________________________________________________
8. Arrange the following numbers from the smallest to the greatest. [2]
4 208 391, 4 280 391, 4 028 391, 4 208 931
Answer: _______________________________________________________________
9. Find the product of 3 428 and 27. [2]
Answer: _______________________________________________________________
10. Divide 8 736 by 16. [2]
Answer: _______________________________________________________________
11. A number when rounded to the nearest thousand is 5 240 000. What is the greatest possible value of this number? [2]
Answer: _______________________________________________________________
12. Find the value of 4 500 × 600. [2]
Answer: _______________________________________________________________
13. A library has 4 872 fiction books. It has 1 358 more non-fiction books than fiction books. How many books are there in the library altogether? [2]
Answer: _______________________________________________________________
14. Mr Tan had 12500.Hespent3 850 on a television and $1 920 on a washing machine. How much money had he left? [2]
Answer: _______________________________________________________________
15. Complete the number pattern. [2]
2 500 000, 2 450 000, 2 400 000, __________, 2 300 000
Answer: _______________________________________________________________
Section C: Structured / Long Answer Questions (20 marks)
Questions 16 to 20 carry 4 marks each. Show your working clearly and write your answers in the spaces provided.
16. A stadium has 8 450 seats. On Saturday, 5 680 seats were occupied. On Sunday, 1 240 more seats were occupied than on Saturday. [4]
(a) How many seats were occupied on Sunday?
(b) How many seats were not occupied on both days altogether?
Answer (a): ________________________
Answer (b): ________________________
17. A factory packed 6 720 bottles of juice into cartons. Each carton contained 24 bottles. [4]
(a) How many cartons were used?
(b) If each carton was sold for $18, how much money was collected from the sale of all the cartons?
Answer (a): ________________________
Answer (b): ________________________
18. Mrs Lim bought 35 boxes of apples. There were 48 apples in each box. She threw away 127 rotten apples and packed the remaining apples into bags of 9. [4]
(a) How many apples did Mrs Lim buy altogether?
(b) How many bags of apples did she pack?
Answer (a): ________________________
Answer (b): ________________________
19. The sum of two numbers is 8 450. The difference between the two numbers is 1 280. Find the two numbers. [4]
Answer: ____________ and ____________
20. A school has 1 240 pupils. 3/8 of the pupils are boys. The rest are girls. [4]
(a) How many girls are there in the school?
(b) If each girl donated 5andeachboydonated3 to a charity, how much money was collected altogether?
Answer (a): ________________________
Answer (b): ________________________
End of Paper
Answers
TuitionGoWhere Practice Paper - Mathematics Primary 5 (Answer Key)
TuitionGoWhere Practice Paper (AI) — Version 2
Subject: Mathematics
Level: Primary 5
Paper: Practice Paper 2 (Whole Numbers Focus)
Total Marks: 50
Section A: Multiple Choice Questions (10 marks)
1. In the number 4 728 391, which digit is in the ten thousands place? [2]
Answer: (2) 7
Explanation:
The place values from right to left are: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions.
In 4 728 391:
- 1 is in the ones place
- 9 is in the tens place
- 3 is in the hundreds place
- 8 is in the thousands place
- 2 is in the ten thousands place
- 7 is in the hundred thousands place
- 4 is in the millions place
Common mistake: Confusing ten thousands (5th digit from right) with hundred thousands (6th digit from right).
2. Round 3 847 256 to the nearest hundred thousand. [2]
Answer: (3) 3 900 000
Explanation:
To round to the nearest hundred thousand, look at the ten thousands digit (4).
Since 4 < 5, we round down. The hundred thousands digit (8) stays the same, and all digits to the right become 0.
3 847 256 → 3 800 000? Wait, let me recheck.
3 847 256: The hundred thousands digit is 8. The ten thousands digit is 4.
Since 4 < 5, round down → 3 800 000.
Correction: The correct answer is (1) 3 800 000.
Let me verify: 3 847 256 rounded to nearest hundred thousand.
Hundred thousands place = 8 (value 800 000). Next digit (ten thousands) = 4.
Since 4 < 5, round down → 3 800 000.
Correct Answer: (1) 3 800 000
3. Which of the following has the same value as 5 000 000 + 300 000 + 40 000 + 6 000 + 200 + 90 + 7? [2]
Answer: (1) 5 346 297
Explanation:
Add the place values:
5 000 000
- 300 000 = 5 300 000
- 40 000 = 5 340 000
- 6 000 = 5 346 000
- 200 = 5 346 200
- 90 = 5 346 290
- 7 = 5 346 297
4. Find the value of 72 × (500 − 300) ÷ 12. [2]
Answer: (1) 1 200
Explanation:
Follow order of operations (BODMAS):
- Brackets first: 500 − 300 = 200
- Multiplication and division from left to right:
72 × 200 = 14 400
14 400 ÷ 12 = 1 200
Alternatively: 72 ÷ 12 = 6, then 6 × 200 = 1 200.
5. A factory produced 2 450 toys on Monday. It produced 3 times as many toys on Tuesday as on Monday. How many toys did the factory produce on both days? [2]
Answer: (2) 9 800
Explanation:
Monday: 2 450 toys
Tuesday: 3 × 2 450 = 7 350 toys
Total: 2 450 + 7 350 = 9 800 toys
Common mistake: Only calculating Tuesday's production (7 350) and forgetting to add Monday's.
Section B: Short Answer Questions (20 marks)
6. Write 6 080 405 in words. [2]
Answer: Six million eighty thousand four hundred and five
Explanation:
Break down by place value:
- 6 000 000 = Six million
- 80 000 = Eighty thousand (not eight thousand!)
- 400 = Four hundred
- 5 = Five
Note: The zero in the hundred thousands place means we don't say "hundred thousand". The zero in the thousands place is covered by "eighty thousand". The zero in the tens place is not spoken.
7. What is the value of the digit 9 in the number 8 942 317? [2]
Answer: 900 000 (or nine hundred thousand)
Explanation:
In 8 942 317, the digit 9 is in the hundred thousands place.
Value = 9 × 100 000 = 900 000.
Common mistake: Writing "90 000" (ten thousands) or "9 000 000" (millions).
8. Arrange the following numbers from the smallest to the greatest. [2]
4 208 391, 4 280 391, 4 028 391, 4 208 931
Answer: 4 028 391, 4 208 391, 4 208 931, 4 280 391
Explanation:
Compare digit by digit from the left (millions place):
All have 4 millions.
Compare hundred thousands: 0, 2, 2, 2 → 4 028 391 is smallest.
For the remaining three (all have 2 hundred thousands):
Compare ten thousands: 0, 0, 8 → 4 280 391 is greatest.
For 4 208 391 and 4 208 931: compare hundreds: 3 vs 9 → 4 208 391 < 4 208 931.
9. Find the product of 3 428 and 27. [2]
Answer: 92 556
Working:
3 4 2 8
× 2 7
---------
2 3 9 9 6 (3 428 × 7)
+ 6 8 5 6 0 (3 428 × 20)
---------
9 2 5 5 6
Check: 3 428 × 27 = 3 428 × (30 − 3) = 102 840 − 10 284 = 92 556 ✓
10. Divide 8 736 by 16. [2]
Answer: 546
Working (Long Division):
5 4 6
1 6 | 8 7 3 6
- 8 0
7 3
- 6 4
9 6
- 9 6
0
Check: 546 × 16 = 546 × 10 + 546 × 6 = 5 460 + 3 276 = 8 736 ✓
11. A number when rounded to the nearest thousand is 5 240 000. What is the greatest possible value of this number? [2]
Answer: 5 240 499
Explanation:
When rounding to the nearest thousand, we look at the hundreds digit.
For the rounded value to be 5 240 000, the number must be from 5 239 500 to 5 240 499.
The greatest possible value is 5 240 499 (since 5 240 500 would round up to 5 241 000).
Common mistake: Writing 5 240 999 or 5 240 000.
12. Find the value of 4 500 × 600. [2]
Answer: 2 700 000
Explanation:
4 500 × 600 = (45 × 100) × (6 × 100) = (45 × 6) × 10 000 = 270 × 10 000 = 2 700 000.
Or: 4 500 × 600 = 4 500 × 6 × 100 = 27 000 × 100 = 2 700 000.
Tip: Count the zeros. 4 500 has 2 zeros, 600 has 2 zeros → answer has 4 zeros. 45 × 6 = 270, add 4 zeros → 2 700 000.
13. A library has 4 872 fiction books. It has 1 358 more non-fiction books than fiction books. How many books are there in the library altogether? [2]
Answer: 11 102
Working:
Fiction books = 4 872
Non-fiction books = 4 872 + 1 358 = 6 230
Total = 4 872 + 6 230 = 11 102
Common mistake: Only finding non-fiction books (6 230) and forgetting to add fiction books.
14. Mr Tan had 12500.Hespent3 850 on a television and $1 920 on a washing machine. How much money had he left? [2]
Answer: $6 730
Working:
Total spent = 3850+1 920 = 5770Moneyleft=12 500 − 5770=6 730
Alternative: 12500−3 850 = 8650;8 650 − 1920=6 730.
15. Complete the number pattern. [2]
2 500 000, 2 450 000, 2 400 000, __________, 2 300 000
Answer: 2 350 000
Explanation:
The pattern decreases by 50 000 each time:
2 500 000 − 50 000 = 2 450 000
2 450 000 − 50 000 = 2 400 000
2 400 000 − 50 000 = 2 350 000
2 350 000 − 50 000 = 2 300 000 ✓
Section C: Structured / Long Answer Questions (20 marks)
16. A stadium has 8 450 seats. On Saturday, 5 680 seats were occupied. On Sunday, 1 240 more seats were occupied than on Saturday. [4]
(a) How many seats were occupied on Sunday?
Answer: 6 920
Working:
Saturday: 5 680 seats
Sunday: 5 680 + 1 240 = 6 920 seats
(b) How many seats were not occupied on both days altogether?
Answer: 4 280
Working:
Total seats over 2 days = 8 450 × 2 = 16 900
Total occupied = 5 680 + 6 920 = 12 600
Not occupied = 16 900 − 12 600 = 4 300? Wait, let me recalculate.
5 680 + 6 920 = 12 600.
16 900 − 12 600 = 4 300.
Correction: Answer is 4 300.
Alternative method:
Saturday empty = 8 450 − 5 680 = 2 770
Sunday empty = 8 450 − 6 920 = 1 530
Total empty = 2 770 + 1 530 = 4 300 ✓
Mark breakdown:
- (a) Correct answer with working: 1 mark
- (b) Correct method (total seats × 2 or empty seats per day): 1 mark
- (b) Correct calculation: 1 mark
- (b) Correct final answer: 1 mark
17. A factory packed 6 720 bottles of juice into cartons. Each carton contained 24 bottles. [4]
(a) How many cartons were used?
Answer: 280
Working:
6 720 ÷ 24 = 280 cartons
Check: 280 × 24 = 280 × 20 + 280 × 4 = 5 600 + 1 120 = 6 720 ✓
(b) If each carton was sold for 18,howmuchmoneywascollectedfromthesaleofallthecartons?∗∗∗∗Answer:5 040
Working:
280 × 18=280×10+280×8=2800+2240=5 040
Mark breakdown:
- (a) Correct division with working: 2 marks
- (b) Correct multiplication using answer from (a): 2 marks
(If (a) is wrong but (b) correctly uses that wrong answer, award 1 mark for method)
18. Mrs Lim bought 35 boxes of apples. There were 48 apples in each box. She threw away 127 rotten apples and packed the remaining apples into bags of 9. [4]
(a) How many apples did Mrs Lim buy altogether?
Answer: 1 680
Working:
35 × 48 = 35 × 50 − 35 × 2 = 1 750 − 70 = 1 680
Or: 35 × 48 = 30 × 48 + 5 × 48 = 1 440 + 240 = 1 680
(b) How many bags of apples did she pack?
Answer: 172 bags (with 5 apples left over, but question asks for bags packed)
Working:
Good apples = 1 680 − 127 = 1 553
Number of bags = 1 553 ÷ 9 = 172 remainder 5
So 172 full bags were packed.
Check: 172 × 9 = 1 548; 1 548 + 5 = 1 553 ✓
Mark breakdown:
- (a) Correct multiplication: 2 marks
- (b) Correct subtraction (total − rotten): 1 mark
- (b) Correct division and interpretation (whole bags only): 1 mark
19. The sum of two numbers is 8 450. The difference between the two numbers is 1 280. Find the two numbers. [4]
Answer: 4 865 and 3 585
Working (Method 1 - Algebraic):
Let the larger number be x, smaller be y.
x + y = 8 450
x − y = 1 280
Add: 2x = 9 730 → x = 4 865
Then y = 8 450 − 4 865 = 3 585
Working (Method 2 - Model/Arithmetic):
Larger number = (Sum + Difference) ÷ 2 = (8 450 + 1 280) ÷ 2 = 9 730 ÷ 2 = 4 865
Smaller number = (Sum − Difference) ÷ 2 = (8 450 − 1 280) ÷ 2 = 7 170 ÷ 2 = 3 585
Or: Smaller = 8 450 − 4 865 = 3 585
Check: 4 865 + 3 585 = 8 450 ✓; 4 865 − 3 585 = 1 280 ✓
Mark breakdown:
- Correct method (formula or model): 2 marks
- Correct larger number: 1 mark
- Correct smaller number: 1 mark
20. A school has 1 240 pupils. 3/8 of the pupils are boys. The rest are girls. [4]
(a) How many girls are there in the school?
Answer: 775
Working:
Number of boys = 3/8 × 1 240 = 1 240 ÷ 8 × 3 = 155 × 3 = 465
Number of girls = 1 240 − 465 = 775
Alternative: Girls = 5/8 × 1 240 = 1 240 ÷ 8 × 5 = 155 × 5 = 775
(b) If each girl donated 5andeachboydonated3 to a charity, how much money was collected altogether?
Answer: $5 270
Working:
Girls' donation = 775 × 5=3 875
Boys' donation = 465 × 3=1 395
Total = 3875+1 395 = $5 270
Mark breakdown:
- (a) Correct fraction calculation for boys or girls: 1 mark
- (a) Correct number of girls: 1 mark
- (b) Correct calculation for girls' donation: 1 mark
- (b) Correct calculation for boys' donation and total: 1 mark
End of Answer Key
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