CBSE Class 7 Maths Practice Paper 2026-27

20 questions · MCQ · Answer key · A4

A 20-question CBSE Class 7 Maths practice paper for 2026-27 on rational numbers, linear equations, triangles & circles. Free to view and print on A4, no login needed; the answer key with worked solutions is below the questions.

Mathematics — Class 7 Practice Paper

Rational Numbers, Algebra & Triangles

  • Board: CBSE
  • Class: 7
  • Time: 60 minutes
  • Max Marks: 80
  • Questions: 20

Instructions: All questions are compulsory. Each question carries 4 marks. There is no negative marking. Choose the most appropriate option.

  1. Q1.

    Arjun simplifies: (−3/5) + (7/10). Give the answer in simplest form.

    1. (A) −1/10
    2. (B) 4/5
    3. (C) 1/10
    4. (D) −4/5
  2. Q2.

    Two angles of a triangle are 65° and 72°. Third angle?

    1. (A) 33°
    2. (B) 43°
    3. (C) 53°
    4. (D) 63°
  3. Q3.

    If 2(x + 5) = 3x − 1, then x = ?

    1. (A) 11
    2. (B) 9
    3. (C) 10
    4. (D) 12
  4. Q4.

    Which is the additive inverse of −8/11?

    1. (A) 11/8
    2. (B) −11/8
    3. (C) 1
    4. (D) 8/11
  5. Q5.

    Arjun's cricket team's win percentage over 40 matches with 28 wins?

    1. (A) 60%
    2. (B) 70%
    3. (C) 65%
    4. (D) 75%
  6. Q6.

    In an isosceles triangle, two equal angles are each 55°. The third angle is:

    1. (A) 55°
    2. (B) 60°
    3. (C) 80°
    4. (D) 70°
  7. Q7.

    Simplify: 3x² − 5x + 2x² + 7x

    1. (A) 5x² − 2x
    2. (B) 5x² + 2x
    3. (C) x² + 2x
    4. (D) 5x + 2x²
  8. Q8.

    The exterior angle of a triangle equals:

    1. (A) Sum of two non-adjacent interior angles
    2. (B) Sum of all interior angles
    3. (C) The adjacent interior angle
    4. (D) 180°
  9. Q9.

    (−5/6) × (−12/25) = ? (Give the answer in simplest form.)

    1. (A) −2/5
    2. (B) 5/2
    3. (C) 2/5
    4. (D) −5/2
  10. Q10.

    An ISRO satellite dish has a circular base. Radius = 7 m. Area? (π = 22/7)

    1. (A) 44 m²
    2. (B) 132 m²
    3. (C) 176 m²
    4. (D) 154 m²
  11. Q11.

    If a triangle has sides 5, 12, 13 cm, is it right-angled?

    1. (A) No, doesn't satisfy
    2. (B) Yes, 5²+13²=12²
    3. (C) Yes, 5²+12²=13²
    4. (D) Cannot determine
  12. Q12.

    Linear equation 4x − 3 = 2x + 11 gives x = ?

    1. (A) 5
    2. (B) 6
    3. (C) 8
    4. (D) 7
  13. Q13.

    Arjun earns ₹12,500/month. He saves ⅖ of it. Monthly savings?

    1. (A) ₹4,000
    2. (B) ₹5,000
    3. (C) ₹4,500
    4. (D) ₹5,500
  14. Q14.

    Which property states a(b + c) = ab + ac?

    1. (A) Distributive
    2. (B) Commutative
    3. (C) Associative
    4. (D) Closure
  15. Q15.

    Circumference of circle with diameter 14 cm: (π = 22/7)

    1. (A) 22 cm
    2. (B) 66 cm
    3. (C) 44 cm
    4. (D) 154 cm
  16. Q16.

    Arjun plays cricket for 2.5 hours. In ratio, cricket:study = 5:3. Total time?

    1. (A) 3 hrs
    2. (B) 4 hrs
    3. (C) 3.5 hrs
    4. (D) 5 hrs
  17. Q17.

    3x/4 − x/3 = 5/12. Solve for x.

    1. (A) 1
    2. (B) 2
    3. (C) 3
    4. (D) 4
  18. Q18.

    A triangle with all sides equal is called:

    1. (A) Scalene
    2. (B) Isosceles
    3. (C) Equilateral
    4. (D) Right-angled
  19. Q19.

    −3/7 ÷ 9/14 = ? (Give the answer in simplest form.)

    1. (A) −2/3
    2. (B) 2/3
    3. (C) −3/2
    4. (D) 3/2
  20. Q20.

    Arjun plots a point at (−3, 4). Which quadrant is it in?

    1. (A) I
    2. (B) III
    3. (C) IV
    4. (D) II

Answer key and solutions

  1. Q1CLCD=10: −6/10 + 7/10 = 1/10
  2. Q2B180 − 65 − 72 = 43°
  3. Q3A2x + 10 = 3x − 1 → x = 11
  4. Q4DAdditive inverse of −8/11 is +8/11
  5. Q5B28/40 × 100 = 70%
  6. Q6D180 − 55 − 55 = 70°
  7. Q7B(3+2)x² + (−5+7)x = 5x² + 2x
  8. Q8AExterior angle theorem: exterior angle = sum of two non-adjacent interior angles
  9. Q9C(5×12)/(6×25) = 60/150 = 2/5 (both negative, product is positive)
  10. Q10Dπr² = 22/7 × 7 × 7 = 154 m²
  11. Q11C25 + 144 = 169 = 13². Yes, right-angled
  12. Q12D2x = 14 → x = 7
  13. Q13B⅖ × 12500 = 5000
  14. Q14AThe distributive property of multiplication over addition
  15. Q15CC = πd = 22/7 × 14 = 44 cm
  16. Q16BCricket=5 parts=2.5h → 1 part=0.5h; Study=3×0.5=1.5h; Total=2.5+1.5=4h
  17. Q17ALCD=12: 9x/12 − 4x/12 = 5/12 → 5x/12 = 5/12 → x = 1
  18. Q18CEquilateral triangle has all three sides equal
  19. Q19A−3/7 × 14/9 = −42/63 = −2/3
  20. Q20DNegative x, positive y → Quadrant II

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Frequently asked questions

How deep should a Class 7 student understand rational numbers before moving on?

A Class 7 student should be able to place rational numbers on a number line, compare them, and perform all four operations confidently. Without this depth, Class 8 topics like powers and exponents become much harder. Use the answer key in this paper to check understanding of each step — not just whether the final answer is correct.

My child gets theory right but loses marks in exams — what helps?

This is a very common pattern in Class 7. The gap is usually in applying concepts under time pressure and reading MCQ options carefully. Timed practice — working through 20 questions in 45 minutes — trains both speed and careful reading. Reviewing incorrect answers with the answer key builds the self-correction habit that improves exam scores.

Is this paper useful for olympiad preparation at Class 7?

Yes, as a starting point. Olympiad-style papers require deeper problem-solving than this paper alone, but the conceptual grounding in rational numbers, algebra and geometry tested here is essential. Use this paper to confirm baseline readiness, then progress to harder multi-concept problems with Vybd.

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