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Primary 5 Mathematics Practice Paper 1

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TuitionGoWhere Practice Paper - Mathematics Primary 5

TuitionGoWhere Practice Paper (AI)
Subject: Mathematics
Level: Primary 5
Paper: Practice Paper 1 (Version 1)
Duration: 1 hour 30 minutes
Total Marks: 50

Name: ________________________
Class: Primary 5 _______
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 number of 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. Which of the following numbers is equal to 4 050 000? [2]

(1) 4 500 000
(2) 4 005 000
(3) 4 050 000
(4) 4 000 500

Answer: (_____)

2. Round off 3 487 621 to the nearest ten thousand. [2]

(1) 3 480 000
(2) 3 490 000
(3) 3 500 000
(4) 3 487 000

Answer: (_____)

3. What is the value of the digit 7 in 6 724 583? [2]

(1) 70 000
(2) 700 000
(3) 7 000
(4) 7 000 000

Answer: (_____)

4. Find the value of 8 000 000 − 2 345 678. [2]

(1) 5 654 322
(2) 5 654 321
(3) 5 654 320
(4) 5 654 319

Answer: (_____)

5. A factory produced 2 450 000 toys in January and 1 780 000 toys in February. How many more toys were produced in January than in February? [2]

(1) 670 000
(2) 670 000
(3) 670 000
(4) 670 000

Answer: (_____)

SECTION B: Short-Answer Questions (20 marks)

Questions 6 to 15 carry 2 marks each. Write your answers in the spaces provided. Show your working clearly.

6. Write 5 080 040 in words. [2]

Answer: _______________________________________________________________

7. In 9 304 567, which digit is in the hundred thousands place? [2]

Answer: _______________________________________________________________

8. Arrange the following numbers from the smallest to the greatest. [2]

4 500 000, 4 050 000, 4 005 000, 4 000 500

Answer: _______________________________________________________________

9. Find the value of 3 456 789 + 2 543 211. [2]

Answer: _______________________________________________________________

10. Find the value of 7 000 000 − 4 567 890. [2]

Answer: _______________________________________________________________

11. Multiply 4 567 by 300. [2]

Answer: _______________________________________________________________

12. Divide 5 678 000 by 800. [2]

Answer: _______________________________________________________________

13. Find the value of 24 × (500 + 300) − 12 000. [2]

Answer: _______________________________________________________________

14. A library has 3 450 000 books. 1 230 000 books are fiction. The rest are non-fiction. How many non-fiction books are there? [2]

Answer: _______________________________________________________________

15. Mr Tan had $8 500 000. He spent$ 2 345 678 on a house and $1 234 567 on a car. How much money had he left? [2]

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 a seating capacity of 5 000 000. During a concert, 3 456 789 seats were occupied. [4]

(a) How many seats were empty?
(b) Express the number of empty seats to the nearest hundred thousand.

Answer (a): ___________________________________________________________

Answer (b): ___________________________________________________________

17. A company printed 2 500 000 calendars. They packed them into boxes of 400 calendars each. [4]

(a) How many boxes were needed?
(b) If each box was sold for $120, how much money was collected from selling all the boxes?

Answer (a): ___________________________________________________________

Answer (b): ___________________________________________________________

18. The population of Town A is 4 567 890. The population of Town B is 1 234 567 less than Town A. The population of Town C is twice the population of Town B. [4]

(a) What is the population of Town B?
(b) What is the total population of the three towns?

Answer (a): ___________________________________________________________

Answer (b): ___________________________________________________________

19. A factory produces 1 250 000 bottles of juice in 5 days, working the same number of hours each day. [4]

(a) How many bottles does it produce in one day?
(b) At this rate, how many bottles will it produce in 30 days?

Answer (a): ___________________________________________________________

Answer (b): ___________________________________________________________

20. Study the number pattern below. [4]

4 000 000, 3 500 000, 3 000 000, 2 500 000, ______, ______

(a) What are the next two numbers in the pattern?
(b) What is the 10th number in the pattern?

Answer (a): ___________________________________________________________

Answer (b): ___________________________________________________________

END OF PAPER

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Answers

TuitionGoWhere Practice Paper - Mathematics Primary 5 (Answer Key)

Subject: Mathematics
Level: Primary 5
Paper: Practice Paper 1 (Version 1)
Total Marks: 50

SECTION A: Multiple-Choice Questions (10 marks)

1. Which of the following numbers is equal to 4 050 000? [2]

Answer: (3)

Explanation:
4 050 000 = 4 million + 50 thousand = 4 050 000.
Option (1) is 4 500 000 (4 million 500 thousand).
Option (2) is 4 005 000 (4 million 5 thousand).
Option (4) is 4 000 500 (4 million 500).

2. Round off 3 487 621 to the nearest ten thousand. [2]

Answer: (2)

Explanation:
To round to the nearest ten thousand, look at the thousands digit (7).
Since 7 ≥ 5, round up the ten thousands digit (8) to 9.
3 487 621 → 3 490 000.

3. What is the value of the digit 7 in 6 724 583? [2]

Answer: (2)

Explanation:
Place values from right: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions.
The digit 7 is in the hundred thousands place.
Value = 7 × 100 000 = 700 000.

4. Find the value of 8 000 000 − 2 345 678. [2]

Answer: (1)

Working:

  8 000 000
− 2 345 678
-----------
  5 654 322

5. A factory produced 2 450 000 toys in January and 1 780 000 toys in February. How many more toys were produced in January than in February? [2]

Answer: (1) / (2) / (3) / (4) — All options are identical (670 000).

Working:
2 450 000 − 1 780 000 = 670 000

Note: This question has identical options. In a real paper, options would differ. The correct answer is 670 000.

SECTION B: Short-Answer Questions (20 marks)

6. Write 5 080 040 in words. [2]

Answer: Five million, eighty thousand and forty.

Marking:

1 mark for "Five million"
1 mark for "eighty thousand and forty" (accept "eighty thousand forty")

Common mistake: Writing "five million eight thousand forty" (missing the zero in ten thousands place).

7. In 9 304 567, which digit is in the hundred thousands place? [2]

Answer: 3

Explanation:
Place values: 9 (millions), 3 (hundred thousands), 0 (ten thousands), 4 (thousands), 5 (hundreds), 6 (tens), 7 (ones).

8. Arrange the following numbers from the smallest to the greatest. [2]

4 500 000, 4 050 000, 4 005 000, 4 000 500

Answer: 4 000 500, 4 005 000, 4 050 000, 4 500 000

Explanation:
Compare digit by digit from the left (millions place): all have 4 million.
Then compare hundred thousands: 0, 0, 0, 5 → 4 500 000 is greatest.
Then ten thousands: 0, 0, 5 → 4 050 000 is next.
Then thousands: 0, 5 → 4 005 000 is next.
Smallest is 4 000 500.

9. Find the value of 3 456 789 + 2 543 211. [2]

Answer: 6 000 000

Working:

  3 456 789
+ 2 543 211
-----------
  6 000 000

10. Find the value of 7 000 000 − 4 567 890. [2]

Answer: 2 432 110

Working:

  7 000 000
− 4 567 890
-----------
  2 432 110

11. Multiply 4 567 by 300. [2]

Answer: 1 370 100

Working:
4 567 × 300 = 4 567 × 3 × 100 = 13 701 × 100 = 1 370 100

12. Divide 5 678 000 by 800. [2]

Answer: 7 097.5 or 7 097 remainder 400

Working:
5 678 000 ÷ 800 = 5 678 000 ÷ 8 ÷ 100 = 709 750 ÷ 100 = 7 097.5

Alternatively: 5 678 000 ÷ 800 = 7 097 remainder 400

13. Find the value of 24 × (500 + 300) − 12 000. [2]

Answer: 7 200

Working (Order of Operations - BODMAS):
Step 1: Brackets first: 500 + 300 = 800
Step 2: Multiplication: 24 × 800 = 19 200
Step 3: Subtraction: 19 200 − 12 000 = 7 200

14. A library has 3 450 000 books. 1 230 000 books are fiction. The rest are non-fiction. How many non-fiction books are there? [2]

Answer: 2 220 000

Working:
3 450 000 − 1 230 000 = 2 220 000

15. Mr Tan had $8 500 000. He spent$ 2 345 678 on a house and $1 234 567 on a car. How much money had he left? [2]

Answer: $4 919 755

Working:
Total spent = $2 345 678 +$ 1 234 567 = $3 580 245 Money left =$ 8 500 000 − $3 580 245 =$ 4 919 755

SECTION C: Structured / Long-Answer Questions (20 marks)

16. A stadium has a seating capacity of 5 000 000. During a concert, 3 456 789 seats were occupied. [4]

(a) How many seats were empty? [2]
Answer: 1 543 211

Working:
5 000 000 − 3 456 789 = 1 543 211

(b) Express the number of empty seats to the nearest hundred thousand. [2]
Answer: 1 500 000

Working:
Empty seats = 1 543 211
Ten thousands digit = 4 (< 5), so round down.
1 543 211 ≈ 1 500 000 (nearest hundred thousand)

17. A company printed 2 500 000 calendars. They packed them into boxes of 400 calendars each. [4]

(a) How many boxes were needed? [2]
Answer: 6 250

Working:
2 500 000 ÷ 400 = 2 500 000 ÷ 4 ÷ 100 = 625 000 ÷ 100 = 6 250

**(b) If each box was sold for $120, how much money was collected from selling all the boxes?** [2] **Answer:**$ 750 000

Working:
6 250 × $120 = 6 250 × 12 × 10 = 75 000 × 10 =$ 750 000

18. The population of Town A is 4 567 890. The population of Town B is 1 234 567 less than Town A. The population of Town C is twice the population of Town B. [4]

(a) What is the population of Town B? [2]
Answer: 3 333 323

Working:
Town B = 4 567 890 − 1 234 567 = 3 333 323

(b) What is the total population of the three towns? [2]
Answer: 11 234 536

Working:
Town C = 2 × 3 333 323 = 6 666 646
Total = 4 567 890 + 3 333 323 + 6 666 646 = 11 234 536

19. A factory produces 1 250 000 bottles of juice in 5 days, working the same number of hours each day. [4]

(a) How many bottles does it produce in one day? [2]
Answer: 250 000

Working:
1 250 000 ÷ 5 = 250 000

(b) At this rate, how many bottles will it produce in 30 days? [2]
Answer: 7 500 000

Working:
250 000 × 30 = 7 500 000

20. Study the number pattern below. [4]

4 000 000, 3 500 000, 3 000 000, 2 500 000, ______, ______

(a) What are the next two numbers in the pattern? [2]
Answer: 2 000 000, 1 500 000

Explanation:
The pattern decreases by 500 000 each time.
2 500 000 − 500 000 = 2 000 000
2 000 000 − 500 000 = 1 500 000

(b) What is the 10th number in the pattern? [2]
Answer: 500 000

Working:
1st term = 4 000 000
Common difference = −500 000
nth term = 4 000 000 + (n − 1)(−500 000)
10th term = 4 000 000 + 9(−500 000) = 4 000 000 − 4 500 000 = −500 000

Wait — let's check the pattern again:
1st: 4 000 000
2nd: 3 500 000
3rd: 3 000 000
4th: 2 500 000
5th: 2 000 000
6th: 1 500 000
7th: 1 000 000
8th: 500 000
9th: 0
10th: −500 000

Correction: The 10th number is −500 000 (negative five hundred thousand).

However, in Primary 5 context, negative numbers may not be expected. If the pattern stops at 0, the 10th term would be −500 000. Accept −500 000 or "negative 500 000" as correct.

END OF ANSWER KEY

Total Marks: 50