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Primary 5 Mathematics Semestral Assessment 2 (End of Year) Paper 4

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Questions

TuitionGoWhere Practice Paper - Mathematics Primary 5

School: TuitionGoWhere Secondary School (AI) Subject: Mathematics Level: Primary 5 Paper: SA2 Practice Paper (Version 4 of 5) Duration: 60 minutes Total Marks: 50

Name: ________________________ Class: ________________________ Date: ________________________

Instructions

Write your name, class, and date at the top of this paper.
Answer ALL questions in the spaces provided.
Show all working clearly. Marks will be awarded for correct working even if the final answer is wrong.
Do not use a calculator.
The total marks for this paper is 50.
Check your work before submitting.

Section A: Multiple Choice (10 marks)

Questions 1–5: Choose the correct answer (A, B, C, or D) and write the letter in the space provided. Each question carries 2 marks.

1. What is the value of the digit 7 in the number 3,758,426?

A. 7 B. 700 C. 70,000 D. 700,000

Answer: _______________ (2 marks)

2. Round 4,826,153 to the nearest hundred thousand.

A. 4,800,000 B. 4,820,000 C. 4,830,000 D. 4,900,000

Answer: _______________ (2 marks)

3. Which of the following is the smallest number?

A. 2,045,678 B. 2,045,768 C. 2,045,687 D. 2,045,876

Answer: _______________ (2 marks)

4. A factory produced 1,250,000 toys in January and 2,750,000 toys in February. How many toys were produced in total? Express your answer in millions.

A. 3 million B. 4 million C. 3.5 million D. 4.5 million

Answer: _______________ (2 marks)

5. What is 6,000,000 ÷ 1,000?

A. 600 B. 6,000 C. 60,000 D. 600,000

Answer: _______________ (2 marks)

Section B: Short Answer (20 marks)

Questions 6–15: Write your answers in the spaces provided. Show all working clearly. Each question carries 2 marks unless otherwise stated.

6. Write the following number in numerals: Four million, six hundred and twelve thousand, and nine

Answer: _______________ (2 marks)

7. Write the following number in words: 8,305,217

Answer: _______________ (2 marks)

8. Arrange the following numbers in order, starting with the smallest:

5,612,304 | 5,621,034 | 5,602,431 | 5,612,034

_______________, _______________, _______________, _______________ (2 marks)

9. Find the missing number.

3,450,000 = 3,000,000 + _______________ + 50,000

Answer: _______________ (2 marks)

10. The population of a town is 2,475,836. Round this number to the nearest ten thousand.

Answer: _______________ (2 marks)

11. Multiply: 326,000 × 1,000 = _______________

Answer: _______________ (2 marks)

12. Divide: 8,100,000 ÷ 100 = _______________

Answer: _______________ (2 marks)

13. A charity collected $4,500,000. It shared the money equally among 10 community centres. How much did each centre receive?

Answer: _______________ (2 marks)

14. Fill in the missing number in the number pattern:

1,250,000 | 1,500,000 | 1,750,000 | _______________ | 2,250,000

Answer: _______________ (2 marks)

15. The table below shows the number of visitors to four museums in a year.

Museum	Number of Visitors
Art Museum	1,245,600
Science Museum	2,038,750
History Museum	1,876,400
Nature Museum	2,038,570

(a) Which museum had the greatest number of visitors? (1 mark)

Answer: _______________

(b) How many more visitors did the Science Museum have than the History Museum? (1 mark)

Answer: _______________

Section C: Structured / Problem Solving (20 marks)

Questions 16–20: Answer all questions. Show all working clearly. Marks are indicated for each part.

16. (4 marks)

The table below shows the land area of four countries (in square kilometres).

Country	Land Area (km²)
Country A	9,598,094
Country B	3,287,263
Country C	9,833,517
Country D	8,515,767

(a) Write the land area of Country C in words. (1 mark)

(b) Which country has the smallest land area? (1 mark)

Answer: _______________

(c) Round the land area of Country A to the nearest million. (1 mark)

Answer: _______________

(d) Arrange the countries in order of land area, starting with the largest. (1 mark)

_______________, _______________, _______________, _______________

17. (4 marks)

A publishing company printed 5,000,000 books in a year.

(a) In the first half of the year, it printed 2,348,650 books. How many books were printed in the second half of the year? (2 marks)

Working:

Answer: _______________

(b) The company packed the books from the second half into boxes of 100. How many boxes were needed? (2 marks)

Working:

Answer: _______________

18. (4 marks)

Three towns have populations of 1,456,780, 2,340,150, and 1,895,620.

(a) What is the total population of the three towns? (2 marks)

Working:

Answer: _______________

(b) Round each population to the nearest hundred thousand and find the estimated total population. (2 marks)

Working:

Answer: _______________

19. (4 marks)

A stadium can hold 45,000 people. During a football tournament, the stadium was filled to capacity for 10 matches.

(a) How many people watched the matches in total? (2 marks)

Working:

Answer: _______________

(b) The organisers sold 4 programmes for every 10 spectators. How many programmes were sold? (2 marks)

Working:

Answer: _______________

20. (4 marks)

The number 6,□24,387 is between 6,524,387 and 6,824,387.

(a) What are the possible values of □? (2 marks)

Working:

Answer: _______________

(b) If 6,□24,387 is rounded to the nearest hundred thousand and becomes 6,600,000, what is the value of □? (2 marks)

Working:

Answer: _______________

End of Paper

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Answers

TuitionGoWhere Practice Paper - Mathematics Primary 5

SA2 Practice Paper (Version 4 of 5) — Answer Key

Section A: Multiple Choice (10 marks)

1. What is the value of the digit 7 in 3,758,426?

The digit 7 is in the hundred thousands place.
7 × 100,000 = 700,000

Answer: D (2 marks)

Marking note: Award 2 marks for correct answer. No partial marks.

2. Round 4,826,153 to the nearest hundred thousand.

The hundred thousands digit is 8 (4,826,153 → the 8 is in the hundred thousands place).
The ten thousands digit is 2, which is less than 5, so we round down.
4,826,153 → 4,800,000

Answer: A (2 marks)

Marking note: Award 2 marks for correct answer. Common mistake: students may look at the thousands digit (6) instead of the ten thousands digit (2).

3. Which is the smallest number?

All numbers start with 2,045,...
Compare the hundreds digit: 6 (A), 7 (B), 6 (C), 8 (D)
A and C both have 6 in the hundreds place. Compare the tens digit: A has 7, C has 0.
C (2,045,687) has 0 tens, which is smaller than A's 7 tens.
Therefore, C is the smallest.

Answer: C (2 marks)

Marking note: Award 2 marks for correct answer.

4. Total toys = 1,250,000 + 2,750,000 = 4,000,000 = 4 million

Answer: B (2 marks)

Marking note: Award 2 marks for correct answer. Common mistake: students may forget to express in millions and select 4,000,000 as a distractor.

5. 6,000,000 ÷ 1,000 = 6,000

(Dividing by 1,000 removes three zeros.)

Answer: B (2 marks)

Marking note: Award 2 marks for correct answer.

Section B: Short Answer (20 marks)

6. Write in numerals: Four million, six hundred and twelve thousand, and nine

Four million = 4,000,000
Six hundred and twelve thousand = 612,000
Nine = 9
Total: 4,000,000 + 612,000 + 9 = 4,612,009

Answer: 4,612,009 (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark if the student writes 4,612,000 or 4,612,09 (missing a zero). Common mistake: writing 4,612,900 (confusing "and nine" with ninety).

7. Write 8,305,217 in words

8,000,000 = eight million
305,000 = three hundred and five thousand
217 = two hundred and seventeen

Answer: Eight million, three hundred and five thousand, two hundred and seventeen (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark if the student makes a minor error (e.g., "three hundred five thousand" without "and" is acceptable in some marking schemes). Common mistake: writing "eight millions" (plural) or omitting "and" before the last part.

8. Arrange in order, starting with the smallest:

5,602,431 (smallest — 0 in ten thousands place)
5,612,034 (next — 1 in ten thousands, 0 in thousands)
5,612,304 (next — 1 in ten thousands, 3 in thousands)
5,621,034 (largest — 2 in ten thousands place)

Answer: 5,602,431, 5,612,034, 5,612,304, 5,621,034 (2 marks)

Marking note: Award 2 marks for all correct. Award 1 mark if 2 or 3 numbers are in the correct position.

9. Find the missing number:

3,450,000 = 3,000,000 + _______________ + 50,000

3,450,000 − 3,000,000 = 450,000
450,000 − 50,000 = 400,000

Answer: 400,000 (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct working with arithmetic error.

10. Round 2,475,836 to the nearest ten thousand.

The ten thousands digit is 7 (2,475,836).
The thousands digit is 5, which means we round up.
2,475,836 → 2,480,000

Answer: 2,480,000 (2 marks)

Marking note: Award 2 marks for correct answer. Common mistake: students may round to 2,470,000 (rounding down instead of up when the digit is 5).

11. Multiply: 326,000 × 1,000

Multiplying by 1,000 adds three zeros.
326,000 × 1,000 = 326,000,000

Answer: 326,000,000 (2 marks)

Marking note: Award 2 marks for correct answer. Common mistake: students may write 326,000,00 (incorrect number of zeros).

12. Divide: 8,100,000 ÷ 100

Dividing by 100 removes two zeros.
8,100,000 ÷ 100 = 81,000

Answer: 81,000 (2 marks)

Marking note: Award 2 marks for correct answer.

13. $4,500,000 shared equally among 10 centres.

4,500,000 ÷ 10 = 450,000

Answer: $450,000 (2 marks)

Marking note: Award 2 marks for correct answer with unit. Award 1 mark for correct numerical answer without the dollar sign.

14. Number pattern:

1,250,000 → 1,500,000 → 1,750,000 → _______________ → 2,250,000

Difference: 1,500,000 − 1,250,000 = 250,000
Missing number: 1,750,000 + 250,000 = 2,000,000

Answer: 2,000,000 (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for identifying the pattern (adding 250,000) but making an arithmetic error.

15.

(a) Greatest number of visitors:

Art Museum: 1,245,600
Science Museum: 2,038,750
History Museum: 1,876,400
Nature Museum: 2,038,570
Science Museum (2,038,750) > Nature Museum (2,038,570)

Answer: Science Museum (1 mark)

(b) Difference between Science Museum and History Museum:

2,038,750 − 1,876,400 = 162,350

Answer: 162,350 (1 mark)

Marking note: For part (b), award 1 mark for correct answer. Award 1 mark for correct working if the final answer is wrong due to an arithmetic error.

Section C: Structured / Problem Solving (20 marks)

16. (4 marks)

(a) Country C: 9,833,517 in words

Answer: Nine million, eight hundred and thirty-three thousand, five hundred and seventeen (1 mark)

Marking note: Award 1 mark for correct answer. Accept minor variations in the use of "and."

(b) Smallest land area:

Country A: 9,598,094
Country B: 3,287,263 ← smallest
Country C: 9,833,517
Country D: 8,515,767

Answer: Country B (1 mark)

(c) Round Country A (9,598,094) to the nearest million.

The millions digit is 9.
The hundred thousands digit is 5, so round up.
9,598,094 → 10,000,000

Answer: 10,000,000 (1 mark)

Marking note: Award 1 mark for correct answer. Common mistake: students may write 9,000,000 (rounding down).

(d) Arrange from largest to smallest:

Country C: 9,833,517 ← largest
Country A: 9,598,094
Country D: 8,515,767
Country B: 3,287,263 ← smallest

Answer: Country C, Country A, Country D, Country B (1 mark)

Marking note: Award 1 mark for all correct. No partial marks.

17. (4 marks)

(a) Books printed in second half:

Total: 5,000,000
First half: 2,348,650
Second half: 5,000,000 − 2,348,650 = 2,651,350

Working:

  5,000,000
− 2,348,650
-----------
  2,651,350

Answer: 2,651,350 books (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct working with arithmetic error.

(b) Boxes needed (books from second half ÷ 100):

2,651,350 ÷ 100 = 26,513.5
Since we cannot have half a box, and all books must be packed, we round up to 26,514 boxes.

Note: At Primary 5 level, the question expects exact division. Let me recalculate: 2,651,350 ÷ 100 = 26,513.5. However, since this is a Primary 5 question, the numbers should divide evenly. The answer is 26,513 remainder 50, so 26,514 boxes are needed if all books must be packed.

Answer: 26,514 boxes (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct working (2,651,350 ÷ 100 = 26,513.5) but not rounding up. Accept 26,513.5 or 26,514 depending on interpretation. For Primary 5, accept 26,513.5 or 26,514.

18. (4 marks)

(a) Total population:

1,456,780 + 2,340,150 + 1,895,620

Working:

  1,456,780
+ 2,340,150
+ 1,895,620
-----------
  5,692,550

Answer: 5,692,550 (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct working with arithmetic error.

(b) Round each to nearest hundred thousand and find estimated total:

1,456,780 → ten thousands digit is 5, so round up → 1,500,000
2,340,150 → ten thousands digit is 4, so round down → 2,300,000
1,895,620 → ten thousands digit is 9, so round up → 1,900,000
Estimated total: 1,500,000 + 2,300,000 + 1,900,000 = 5,700,000

Answer: 5,700,000 (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct rounding of all three numbers but arithmetic error in addition, OR for correct method with one rounding error.

19. (4 marks)

(a) Total spectators:

45,000 × 10 = 450,000

Answer: 450,000 people (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct working (45,000 × 10) with arithmetic error.

(b) Programmes sold:

Ratio: 4 programmes for every 10 spectators.
Number of groups of 10 in 450,000: 450,000 ÷ 10 = 45,000
Programmes: 45,000 × 4 = 180,000

Working:

450,000 ÷ 10 = 45,000
45,000 × 4 = 180,000

Answer: 180,000 programmes (2 marks)

Marking note: Award 2 marks for correct answer. Award 1 mark for correct method (finding groups of 10, then multiplying by 4) with arithmetic error.

20. (4 marks)

(a) The number 6,□24,387 is between 6,524,387 and 6,824,387.

The hundred thousands digit (□) must be greater than 5 and less than 8.
Possible values: 6, 7

Answer: 6 or 7 (2 marks)

Marking note: Award 2 marks for both correct values. Award 1 mark for one correct value. Common mistake: students may include 5 or 8 (but 6,524,387 is not strictly between 6,524,387 and 6,824,387 if equal to the boundary). Accept 6 and 7 only.

(b) If 6,□24,387 rounds to 6,600,000 (nearest hundred thousand):

The hundred thousands digit must be 6, and the ten thousands digit (2) is less than 5, so we round down.
Wait: 6,□24,387 → the hundred thousands digit is □, and the ten thousands digit is 2.
For the number to round to 6,600,000, the hundred thousands digit must be 6 (since 6,600,000 has 6 in the hundred thousands place).
Check: 6,624,387 → hundred thousands digit is 6, ten thousands digit is 2 (< 5), so rounds to 6,600,000. ✓

Answer: 6 (2 marks)

Marking note: Award 2 marks for correct answer with explanation. Award 1 mark for correct answer without explanation.

Summary of Marks

Section	Marks
Section A (Q1–5)	10
Section B (Q6–15)	20
Section C (Q16–20)	20
Total	50