C
CraftExam

CBSE Class 6 Mathematics Sample Paper

Marks:
40
Time:
1½ Hours
Questions:
19
Chapters:
10
Session:
2026-27
Class_6_Mathematics_Sample_Paper_CraftExam.pdfA4 · Set A

Academic Session 2026-27

SAMPLE PAPER

MATHEMATICS

Class VI

Time Allowed1½ HoursMaximum Marks40SetA

Assessment: CBSE-Aligned School Assessment

Marks Distribution

SectionQuestion TypeMarks
AMCQs (9×1)9
BShort Answer (4×2)8
CShort Answer (3×3)9
DLong Answer (2×5)10
ECase Study (3 parts)4

General Instructions

  1. 1.This question paper has 5 sections.
  2. 2.Marks are shown beside each question.
  3. 3.Read each section instruction carefully.
  4. 4.Attempt only one alternative where internal choice is given.

SECTION A — Objective Type Questions (1×9=9)

Q1 to Q9 are Multiple Choice Questions. Choose the correct option.

Q1. Two pupils record data by counting the same arriving buses and adding their totals. What problem can this create?
(1)
  1. (a)Leaving out every second bus
  2. (b)Recording only the larger of the two counts
  3. (c)Halving the actual number of buses
  4. (d)Counting the same bus twice
Q2. Two rays on a circular scale point to 20° and 75°. The smaller turn between them is how large?
(1)
  1. (a)95°
  2. (b)105°
  3. (c)55°
  4. (d)75°
Q3. A student wants to compare distances XY for moving points on opposite rectangle sides. Which record is most useful?
(1)
  1. (a)AX and BY, but not XY
  2. (b)AX and XY, but not BY
  3. (c)Only XY, without either position
  4. (d)AX, BY and XY for each trial
Q4. A floor has 7 rows of 9 square tiles, each tile covering 1 square metre. What is the floor area?
(1)
  1. (a)16 m2
  2. (b)32 m2
  3. (c)63 m2
  4. (d)81 m2
Q5. The rule is to add the preceding two terms, starting 1, 2. Which term follows 1, 2, 3, 5, 8?
(1)
  1. (a)16
  2. (b)10
  3. (c)11
  4. (d)13
Q6. In a game allowing additions 1, 2, 3, the running total is 18 and your turn begins. The target is 21. What wins immediately?
(1)
  1. (a)Wait for the other player
  2. (b)Add 1
  3. (c)Add 2
  4. (d)Add 3
Q7. A design matches itself only at 180° and 360° during one full positive turn. Its rotational order is
(1)
  1. (a)1
  2. (b)3
  3. (c)4
  4. (d)2
Q8. A four-digit number ends in 8. Which divisor is guaranteed to divide it exactly?
(1)
  1. (a)2
  2. (b)5
  3. (c)10
  4. (d)8
Q9. Can two different unit fractions, each less than 1, add to exactly 1?
(1)
  1. (a)No, even 1/2 + 1/3 is less than 1
  2. (b)Yes, 1/2 + 1/2 qualifies
  3. (c)Yes, 1/3 + 1/4 = 1
  4. (d)Yes, any two fractions with numerator 1 do

SECTION B — Short Answer Questions (2×4=8)

Q10 to Q13 are Short Answer Questions.

Q10. Give three distinct integers whose sum is −6. Show the addition.
(2)
Q11. A circle has centre P and radius 4 cm. A point Q is 3 cm from P. Is Q on the circle? Explain.
(2)
Q12. Without converting to decimals, compare 4/11 and 4/9.
(2)
Q13. A pattern has smallest rotational angle 120°. List all its matching angles up to and including 360°.
(2)

SECTION C — Short Answer Questions (3×3=9)

Q14 to Q16 are Short Answer Questions.

Q14. Find the prime factorisation of 84 and multiply back to check.
(3)
Q15. A graph of attendance uses 5 pupils per division. Two bars have heights 6 and 8 divisions. Find both attendance counts and their difference.
(3)
Q16. A rectangle has perimeter 30 cm and length 9 cm. Find its width.
(3)

SECTION D — Long Answer Questions (5×2=10)

Q17 to Q18 are Long Answer Questions.

Q17. Calendar A is a non-leap year beginning Sunday. Calendar B is also non-leap and begins Sunday; calendar C is leap and begins Sunday. Decide which calendar can reuse A exactly. Explain January agreement, the role of February, and why matching 1 January alone is insufficient.
(5)
Q18. On a clock at exact hours, find the smaller hand angles at 2, 5, 6 and 10 o’clock. Explain the equal-step calculation and why counting clockwise from 12 is not always the smaller angle.
(5)

OR

Q18. At midnight a town records −8°C. By morning the temperature rises 5°C, then rises 7°C by noon, and falls 6°C by evening. Find all three later readings and the overall change from midnight to evening.
(5)

SECTION E — Case-Based Questions (1+1+2=4)

Q19 is a case-based question. Read the case carefully and answer the sub-questions.

Q19

At a picnic, one jug holds 1 litre. Jug A is shared equally among 4 children. An identical jug B is shared equally among 8 children. Each jug is full.
(i) What fraction of a litre does one child sharing jug A receive?
(1)
(ii) How many shares from jug B together equal one share from jug A?
(1)
(iii) Would eight unequal pours from jug B all be one-eighth litre? Explain.
(2)

End of Question Paper