class 7 maths cbse sample question paper

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 General Instructions

  • This question paper contains 30 questions. All are compulsory.

  • The paper is divided into 5 sections: A, B, C, D, and E.

  • Section A: Q.1 to Q.15 (13 MCQs + 2 Assertion-Reason questions). 1 mark each.

  • Section B: Q.16 to Q.21 (6 Very Short Answer questions). 2 marks each.

  • Section C: Q.22 to Q.26 (5 Short Answer questions). 3 marks each.

  • Section D: Q.27 to Q.28 (2 Case-based questions). 4 marks each.

  • Section E: Q.29 to Q.30 (2 Long Answer questions). 5 marks each.

Section A: Multiple Choice Questions (1 Mark Each)

  1. Which of the following is NOT a prime number? (a) 71 (b) 89 (c) 93 (d) 13

  2. Which of the following is correct when dividing fractions? (a) Convert the second fraction and multiply (b) Convert fractions to whole numbers first (c) Subtract denominators before dividing (d) Multiply both fractions separately


  4. The sum of two consecutive integers is always: (a) Even number (b) Odd number (c) Natural number (d) Negative integer

  5. A line that intersects two or more lines at distinct points is called: (a) Transversal (b) Parallel lines (c) Intersecting lines (d) None of these

  6. If two lines are intersected by a transversal, the number of pairs of corresponding angles are: (a) 1 (b) 2 (c) 3 (d) 4

  7. When two sides and the included angle of two triangles are equal, the triangles are congruent. This is: (a) ASA (b) SSA (c) SAS (d) ASS



  10. The angle formed between the extension of a side of a triangle and the other side is called an: (a) Exterior angle (b) Interior angle (c) Straight angle (d) None of these


  13. Two figures are called "geometrical twins" if they have the same: (a) Shape only (b) Size only (c) Shape and Size (d) Area only

Direction (Q.14–15): Choose (a) Both A and R are true, and R explains A; (b) Both are true, but R does not explain A; (c) A is true, R is false; (d) A is false, R is true.

  1. .

  2. Assertion (A): The sum of five odd numbers is always odd. Reason (R): Adding an odd number of odd numbers always results in an odd number.



  5. Find pairs of numbers from their sums and differences:

    • (a) Sum = 27, Difference = 9

    • (b) Sum = -7, Difference = -13

Section C: Short Answer (3 Marks Each)


Section D: Case-Based Questions (4 Marks Each)

  1. Passage: Triangle Inequality. Ragini tried to join strips of 3 cm, 4 cm, and 8 cm to form a triangle but failed.

    • Q1: Which is the correct condition of the triangle inequality theorem? (a) Side > sum of other two (b) Side < sum of other two.

    • Q2: Can a triangle be formed with 3 cm, 4 cm, and 8 cm?

    • Q3: Which set can form a triangle? (a) 2cm, 2cm, 5cm (b) 5cm, 6cm, 12cm (c) 3cm, 4cm, 5cm (d) 1cm, 1cm, 3cm.


Section E: Long Answer Questions (5 Marks Each)

  1. Arjun calculated a total of Rs 205 from an odd number of Rs 1 coins, an odd number of Rs 5 coins, and an even number of Rs 10 coins. Did he make a mistake? Explain.

    • OR Create a magic square using the numbers 2–10. Compare it with a square using 1–9.


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