Sample Paper · Class 6 · CBSE · 2026
Class 6 CBSE Maths Sample Paper 2026 with Solutions
Practice with 30 questions covering all 12 chapters. Detailed solutions included.
Paper Structure
| Section | Questions | Marks |
|---|---|---|
| Section A: Objective (MCQ) | 10 | 10 |
| Section B: Short Answer | 10 | 20 |
| Section C: Long Answer | 6 | 24 |
| Section D: Case Study | 4 | 16 |
| Total | 30 | 70 |
Sample Questions (Preview)
Showing 10 representative questions from the paper across multiple topics and difficulty levels.
What is the place value of 6 in 63,412?
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Answer: 60,000
Step 1: Identify the position of 6 in 63,412.
Step 2: 6 is in the ten-thousands place. [Place value = 6 × 10,000 = 60,000]
The population of a city is 5,42,387. Round it to the nearest ten thousand.
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Answer: 5,40,000
Step 1: The thousands digit is 2 (less than 5).
Step 2: Round down: [5,42,387 ≈ 5,40,000]
A car costs ₹8,45,000. If the price increases by ₹56,750, estimate the new price to the nearest lakh.
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Answer: ₹9,00,000
Step 1: New price: [8,45,000 + 56,750 = 9,01,750]
Step 2: Rounded to nearest lakh: [9,01,750 ≈ 9,00,000]
Which is the smallest whole number?
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Answer: 0
Step 1: Whole numbers are: 0, 1, 2, 3, ...
Step 2: The smallest whole number is 0.
Use the distributive property to find: 35 × 102
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Answer: 3,570
Step 1: 35 × 102 = 35 × (100 + 2)
Step 2: Distribute: [35 × 100 + 35 × 2 = 3,500 + 70 = 3,570]
Find the value of: 16 × 25 × 125 × 5
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Answer: 2,50,000
Step 1: Rearrange: [(16 × 125) × (25 × 5)]
Step 2: 16 × 125 = 2,000 and 25 × 5 = 125
Step 3: Result: [2,000 × 125 = 2,50,000]
Look at the number pattern: 3, 7, 11, 15, ... Which rule correctly describes how to get the next number in this sequence?
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Answer: Add 4 to the previous number
Step 1: Let's find the difference between consecutive numbers:
Step 2: 7 - 3 = 4
Step 3: 11 - 7 = 4
Step 4: 15 - 11 = 4
Step 5: Since the difference is consistently 4, the rule is to add 4 to the previous number.
Observe the pattern: 2, 7, 12, 17, 22, ... If this pattern continues, what will be the 8th term in the sequence?
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Answer: 37
Step 1: First, identify the pattern by finding the difference between consecutive terms: 7 - 2 = 5, 12 - 7 = 5, 17 - 12 = 5, 22 - 17 = 5.
Step 2: The pattern is to add 5 to the previous term to get the next term. This is an arithmetic progression.
Step 3: The given terms are the 1st (2), 2nd (7), 3rd (12), 4th (17), 5th (22) terms.
Step 4: To find the 8th term: 6th term = 22 + 5 = 27; 7th term = 27 + 5 = 32; 8th term = 32 + 5 = 37.
Observe the pattern of dots: Figure 1 has 1 dot. Figure 2 has 3 dots. Figure 3 has 6 dots. Figure 4 has 10 dots. If this pattern continues, how many dots will Figure 8 have?
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Answer: 36
Step 1: The pattern of dots is 1, 3, 6, 10, ... This is a sequence of triangular numbers.
Step 2: The rule for the nth triangular number (T_n) is T_n = n × (n + 1) / 2.
Step 3: For Figure 8 (n=8), the number of dots will be T_8 = 8 × (8 + 1) / 2 = 8 × 9 / 2 = 72 / 2 = 36.
Which of the following best describes a point in geometry?
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Answer: A specific location that has no dimension
Step 1: A point is a fundamental concept in geometry. It represents an exact position or location in space.
Step 2: By definition, a point has no dimension; it has no length, width, or depth. It is often represented by a dot.
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Exam Tips for Class 6 CBSE 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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