ICSE Class 5 Mathematics · Exam Practice

Final Examination — Set 1

ICSE Class 5 Mathematics, covering all chapters, with a full answer key and worked solutions.

🎯 Full Marks: 63 ⏱️ Time: 2½ Hours 📝 Questions: 42
SectionTopicQsMarks
ANumber System1515
BFractions & Decimals1520
CMeasurement1228
Total4263
Before you start
  • Attempt the paper first, without looking at the answer key at the bottom of the page.
  • Show your working for Sections B and C — method marks are given even if the final answer is wrong.
15 MARKS

Section A — Number System

1. Multiple Choice Questions (MCQs) (1 mark each)

1. The smallest natural number is

A. 0B. 1C. 2D. 10

2. What is the place value of 7 in 45,781?

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

3. Which of the following is a 6-digit number?

A. 99,999B. 10,000C. 9,99,999D. 9,99,99

4. 8,00,000 + 20,000 + 3,000 + 400 + 5 is written as

A. 8,23,405B. 8,23,045C. 8,02,345D. 8,20,345

5. The predecessor of 1,00,000 is

A. 99,999B. 1,00,001C. 99,998D. 1,00,010

6. Which of the following is a Roman numeral?

A. 123B. XIXC. ABCD. 45

7. 3,47,290 rounded off to the nearest thousand is

A. 3,47,000B. 3,48,000C. 3,47,200D. 3,46,000

8. Which of the following is the greatest 5-digit number?

A. 99,999B. 1,00,000C. 9,99,999D. 89,999

9. How many tens are there in 6,540?

A. 54B. 540C. 6,054D. 654

10. Which of the following is NOT an odd number?

A. 2,021B. 7,389C. 9,111D. 5,608

2. Fill in the Blanks (1 mark each)

1. The successor of 9,99,999 is ______.

2. The place value of 8 in 38,62,714 is ______.

3. One lakh = ______ thousands.

4. 7,00,000 + 9,000 + 300 + 20 + 1 is written as ______.

5. The smallest 5-digit number is ______.

20 MARKS

Section B — Fractions & Decimals

3. True or False (1 mark each)

1. 3/4 is greater than 2/3. (   )

2. A decimal number has a finite number of digits. (   )

3. 0.50 is equal to 1/2. (   )

4. 7/9 is an improper fraction. (   )

5. 1.75 lies between 1.7 and 1.8. (   )

4. Match the Following (1 mark each)

Column A
1.2/5 of 25
2.2.5 + 3.7
3.0.6 × 0.4
4.7/8 − 3/8
5.9.6 ÷ 1.2
Column B
a)8
b)10
c)0.24
d)6.2
e)1/2

5. Very Short Answer Type Questions (2 marks each)

1. Write the decimal form of 7/20.

2. Write the fraction for 0.3.

3. Arrange in ascending order: 0.48, 0.5, 0.405, 0.45.

4. Write 5/6 as a percentage.

5. Find the sum: 2.75 + 3.68.

28 MARKS

Section C — Measurement

6. Solve the Following (2 marks each)

1. Convert: 7 m 35 cm into cm.

2. A rope is 12 m 45 cm long. Another rope is 8 m 75 cm long. Find the total length.

3. Rohan's height is 1 m 32 cm and his brother's height is 1 m 18 cm. a) Who is taller and by how much? b) Find the sum of their heights.

4. A rectangular garden is 15 m long and 9 m wide. a) Find its perimeter. b) Find its area.

5. Convert: 3 hours 45 minutes into minutes.

7. Do As Directed (2 marks each)

1. Find the perimeter of a square whose side is 18 cm.

2. Find the area of a rectangle whose length is 24 m and breadth is 15 m.

3. Convert 2 kg 350 g into grams.

4. Express 5 km 75 m in metres.

5. Subtract: 9 L 450 mL − 3 L 275 mL.

8. Think & Solve (Word Problems) (4 marks each)

1. A water tank can hold 1,250 L of water. On Monday, 475 L was used and on Tuesday, 360 L was used. How much water is left in the tank?

2. A room is 6 m 40 cm long and 4 m 50 cm wide. Find the cost of tiling the floor at the rate of ₹45 per square metre.

ICSE Class 5 Mathematics · Final Examination — Set 1 · Answer Key

Answers & Worked Solutions

Mark your own paper, then read the solution for every question you got wrong. For the multiple-choice questions, the note in pink shows the answer most students pick by mistake, and why.

Section A — Number System (15 marks)
1. Multiple Choice Questions
Q1. B. 1

Natural numbers are the counting numbers 1, 2, 3, ... — they start from 1, not 0.

Tempting wrong answer: 0 — 0 is the smallest whole number, but whole numbers and natural numbers are not the same set.

Q2. C. 700

In 45,781 the digits are 4 (ten-thousands), 5 (thousands), 7 (hundreds), 8 (tens), 1 (ones). 7 is in the hundreds place: place value = 700.

Tempting wrong answer: 7 — that is the face value, not the place value.

Q3. C. 9,99,999

9,99,999 has six digits. 99,999 and 10,000 both have five digits.

Q4. A. 8,23,405

8,00,000 + 20,000 + 3,000 + 400 + 5 = 8,23,405.

Q5. A. 99,999

The predecessor is 1 less: 1,00,000 − 1 = 99,999.

Q6. B. XIX

Roman numerals use letters (I, V, X, L, C, D, M) to represent numbers — XIX represents 19.

Q7. A. 3,47,000

The hundreds digit in 3,47,290 is 2, less than 5, so round down to 3,47,000.

Q8. A. 99,999

99,999 is the largest number with 5 digits.

Q9. D. 654

Divide by 10: 6,540 ÷ 10 = 654.

Q10. D. 5,608

A number is odd if its last digit is 1, 3, 5, 7 or 9. 5,608 ends in 8, so it is even.

2. Fill in the Blanks
Q1. 10,00,000

9,99,999 + 1 = 10,00,000.

Q2. 8,00,000

In 38,62,714 the digit 8 is in the lakh place.

Q3. 100

1,00,000 ÷ 1,000 = 100.

Q4. 7,09,321

7,00,000 + 9,000 + 300 + 20 + 1 = 7,09,321.

Q5. 10,000

The smallest 5-digit number is 1 followed by four zeros.

Section B — Fractions & Decimals (20 marks)
3. True or False
Q1. True

3/4 = 0.75 and 2/3 ≈ 0.67, so 3/4 is greater.

Q2. True (at Class 5 level)

Every decimal you meet in Class 5 has a finite number of digits, like 0.35 or 2.417. In higher classes you'll meet decimals whose digits repeat forever (like 1/3 = 0.333...) — but those are beyond this syllabus.

Q3. True

0.50 = 0.5 = 5/10 = 1/2.

Q4. False

7/9 has a smaller numerator than denominator, making it a proper fraction, not improper.

Q5. True

1.7 < 1.75 < 1.8.

4. Match the Following
1 → b) 10

2/5 of 25 = (2 × 25) ÷ 5 = 10.

2 → d) 6.2

2.5 + 3.7 = 6.2.

3 → c) 0.24

0.6 × 0.4 = 0.24.

4 → e) 1/2

7/8 − 3/8 = 4/8 = 1/2.

5 → a) 8

9.6 ÷ 1.2 = 8.

5. Very Short Answer Type Questions
Q1. 0.35

7/20 = 7 ÷ 20 = 0.35.

Q2. 3/10

0.3 has one decimal place, so it is 3/10.

Q3. 0.405, 0.45, 0.48, 0.5

Write with 3 decimal places to compare fairly: 0.480, 0.500, 0.405, 0.450. Ascending: 0.405 < 0.45 < 0.48 < 0.5.

Q4. 83⅓% (≈83.33%)

5/6 = 0.8333... → 83.33% (or exactly 83⅓%).

Q5. 6.43

2.75 + 3.68 = 6.43.

Section C — Measurement (28 marks)
6. Solve the Following
Q1. 735 cm
  1. 7 m = 700 cm.
  2. 700 + 35 = 735 cm.
Q2. 21 m 20 cm
  1. Metres: 12 + 8 = 20 m.
  2. Centimetres: 45 + 75 = 120 cm = 1 m 20 cm.
  3. Total = 20 m + 1 m 20 cm = 21 m 20 cm.
Q3. (a) Rohan, by 14 cm (b) 2 m 50 cm
  1. 132 cm − 118 cm = 14 cm.
  2. 132 + 118 = 250 cm = 2 m 50 cm.
Q4. (a) 48 m (b) 135 sq m
  1. Perimeter = 2 × (15 + 9) = 48 m.
  2. Area = 15 × 9 = 135 sq m.
Q5. 225 minutes
  1. 3 hours = 180 minutes.
  2. 180 + 45 = 225 minutes.
7. Do As Directed
Q1. 72 cm

4 × 18 = 72 cm.

Q2. 360 sq m

24 × 15 = 360 sq m.

Q3. 2,350 g

2,000 + 350 = 2,350 g.

Q4. 5,075 m

5,000 + 75 = 5,075 m.

Q5. 6 L 175 mL
  1. 9,450 mL − 3,275 mL = 6,175 mL.
  2. = 6 L 175 mL.
8. Think & Solve (Word Problems)
Q1. 415 L
  1. 475 + 360 = 835 L used.
  2. 1,250 − 835 = 415 L.
Q2. ₹1,296
  1. 6.4 m × 4.5 m = 28.8 sq m.
  2. 28.8 × ₹45 = ₹1,296.
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