Sample Paper · Class 6 · ICSE · 2026

Class 6 ICSE Maths Sample Paper 2026 with Solutions

Practice with 30 questions covering all 15 chapters. Detailed solutions included.

Paper Structure

SectionQuestionsMarks
Section A: Objective (MCQ)1010
Section B: Short Answer1020
Section C: Long Answer624
Section D: Case Study416
Total3070

Sample Questions (Preview)

Showing 10 representative questions from the paper across multiple topics and difficulty levels.

1Number SystemEasy

Which of the following is the smallest natural number?

A.0
B.1
C.2
D.−1
Show Solution+

Answer: 1

Step 1: Natural numbers are counting numbers: 1, 2, 3, 4, ...

Step 2: The smallest natural number is 1. Note that 0 is a whole number but not a natural number.

2Number SystemMedium

Find the greatest 6-digit number using the digits 3, 0, 7, 5, 1, 9 (each digit used exactly once).

A.975,310
B.975,301
C.973,510
D.970,531
Show Solution+

Answer: 975,310

Step 1: Arrange digits in descending order: 9, 7, 5, 3, 1, 0.

Step 2: Greatest number: 975,310.

3Number SystemHard

A number is 3 more than the largest 7-digit number. What is this number?

A.1,00,00,002
B.1,00,00,003
C.99,99,999
D.1,00,00,000
Show Solution+

Answer: 1,00,00,002

Step 1: Largest 7-digit number = 99,99,999.

Step 2: Add 3: [99,99,999 + 3 = 1,00,00,002]

4HCF & LCMEasy

Which of the following is a prime number?

A.15
B.21
C.29
D.35
Show Solution+

Answer: 29

Step 1: Check each number: 15 = 3 × 5, 21 = 3 × 7, 35 = 5 × 7.

Step 2: 29 has no factors other than 1 and 29, so it is prime.

5HCF & LCMMedium

Find the HCF of 48, 72, and 120 using prime factorization.

A.12
B.24
C.8
D.6
Show Solution+

Answer: 24

Step 1: 48 = 2⁴ × 3, 72 = 2³ × 3², 120 = 2³ × 3 × 5.

Step 2: Common primes with lowest powers: 2³ × 3 = 8 × 3 = 24. [HCF = 24]

6HCF & LCMHard

Find the smallest number which when divided by 8, 12, and 15 leaves a remainder 5 in each case.

A.125
B.245
C.365
D.485
Show Solution+

Answer: 125

Step 1: LCM(8, 12, 15): 8 = 2³, 12 = 2² × 3, 15 = 3 × 5. [LCM = 2³ × 3 × 5 = 120]

Step 2: Add the remainder: [120 + 5 = 125]

7IntegersEasy

Which of the following is a negative integer?

A.5
B.0
C.-3
D.1/2
Show Solution+

Answer: -3

Step 1: Integers are whole numbers that can be positive, negative, or zero.

Step 2: 5 is a positive integer.

Step 3: 0 is neither positive nor negative.

Step 4: 1/2 is a fraction, not an integer.

Step 5: -3 is a negative integer. [-3 < 0]

8IntegersMedium

Arrange the following integers in descending order: -7, 3, -1, 5, 0.

A.5, 3, 0, -1, -7
B.-7, -1, 0, 3, 5
C.5, 3, -1, 0, -7
D.0, -1, 3, 5, -7
Show Solution+

Answer: 5, 3, 0, -1, -7

Step 1: Place the numbers on a number line: -7, -1, 0, 3, 5 (ascending).

Step 2: Reverse the order for descending: 5, 3, 0, -1, -7.

9IntegersHard

The temperature in Leh was -15 degrees C at night and rose to 4 degrees C during the day. What was the total rise in temperature?

A.11 degrees C
B.19 degrees C
C.-19 degrees C
D.-11 degrees C
Show Solution+

Answer: 19 degrees C

Step 1: Rise = Day temperature - Night temperature.

Step 2: Rise = 4 - (-15) = 4 + 15 = 19 degrees C. [4 - (-15) = 4 + 15 = 19]

10FractionsEasy

Which of the following is a proper fraction?

A.7/5
B.3/4
C.9/9
D.11/6
Show Solution+

Answer: 3/4

Step 1: A proper fraction has numerator < denominator.

Step 2: 3 < 4, so 3/4 is a proper fraction. The others have numerator >= denominator.

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Exam Tips for Class 6 ICSE Maths

  • 1Read the entire paper first and plan your time. Allocate roughly 1 minute per mark.
  • 2Attempt Section A (MCQs) first to secure easy marks and build confidence.
  • 3Show all working steps in Sections B, C, and D even if you know the final answer.
  • 4Draw neat diagrams for geometry questions and label all measurements clearly.
  • 5Leave 10 minutes at the end to review your answers and check for silly mistakes.

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Frequently Asked Questions

Is this Class 6 ICSE sample paper based on the latest syllabus?+
Yes, this sample paper follows the ICSE Class 6 Mathematics syllabus for the 2025-26 academic session and covers all prescribed chapters.
How many questions are in the Class 6 ICSE maths paper?+
The sample paper has 30 questions across 4 sections for a total of 70-80 marks, matching the actual ICSE exam pattern for Class 6.
Can I download this sample paper as PDF?+
You can practice the questions on this page with instant solutions. For a printable PDF, use SparkEd's worksheet generator to create custom worksheets for any topic.
How should I prepare for the Class 6 ICSE maths exam?+
Complete all NCERT exercises, practice sample papers under timed conditions, and use SparkEd's interactive practice mode to master each topic at three difficulty levels.
Are solutions provided for all questions?+
Yes, every question in this sample paper comes with a detailed step-by-step solution. Click "Show Solution" under each question to view the working.

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