CBSE Class 6 Maths Practice Paper 2026-27

20 questions · MCQ · Answer key · A4

A 20-question CBSE Class 6 Maths practice paper for 2026-27 on integers, ratio, simple equations & basic geometry. Free to view and print on A4, no login needed; the answer key with worked solutions is below the questions.

Mathematics — Class 6 Practice Paper

Integers, Ratio, Algebra & Basic Geometry

  • Board: CBSE
  • Class: 6
  • 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.

    (−8) + 13 = ?

    1. (A) −5
    2. (B) −21
    3. (C) 21
    4. (D) 5
  2. Q2.

    Ratio of 45 to 60 in simplest form:

    1. (A) 4:5
    2. (B) 5:6
    3. (C) 3:4
    4. (D) 9:12
  3. Q3.

    If 3x + 7 = 22, then x = ?

    1. (A) 3
    2. (B) 4
    3. (C) 6
    4. (D) 5
  4. Q4.

    Arjun scores in ratio 3:5 compared to his friend. If friend scores 75, Arjun scores?

    1. (A) 35
    2. (B) 40
    3. (C) 45
    4. (D) 55
  5. Q5.

    Area of a triangle with base 14 cm and height 9 cm:

    1. (A) 63 cm²
    2. (B) 23 cm²
    3. (C) 56 cm²
    4. (D) 126 cm²
  6. Q6.

    (−15) − (−6) = ?

    1. (A) −21
    2. (B) −9
    3. (C) 9
    4. (D) 21
  7. Q7.

    A cricket stadium has 24,000 seats in ratio boys:girls:adults = 2:3:7. How many adults?

    1. (A) 4,000
    2. (B) 6,000
    3. (C) 14,000
    4. (D) 16,800
  8. Q8.

    Which of these is a rational number?

    1. (A) −7/3
    2. (B) √2
    3. (C) π
    4. (D) √3
  9. Q9.

    Complementary angle of 37° is:

    1. (A) 43°
    2. (B) 63°
    3. (C) 53°
    4. (D) 143°
  10. Q10.

    ISRO’s budget is ₹13,700 crore (1 crore = 10⁷). In rupees, written in standard form, this is:

    1. (A) 1.37 × 10⁹
    2. (B) 1.37 × 10¹¹
    3. (C) 1.37 × 10¹⁰
    4. (D) 1.37 × 10¹²
  11. Q11.

    Solve: 5y − 3 = 2y + 9

    1. (A) y = 3
    2. (B) y = 5
    3. (C) y = 4
    4. (D) y = 6
  12. Q12.

    Perimeter of a regular hexagon with side 8 cm:

    1. (A) 40 cm
    2. (B) 42 cm
    3. (C) 56 cm
    4. (D) 48 cm
  13. Q13.

    A map scale is 1:50,000. A distance of 3 cm on map = how many km in real life?

    1. (A) 1.5 km
    2. (B) 0.15 km
    3. (C) 15 km
    4. (D) 150 km
  14. Q14.

    Product of (−4) × (−7) × (−2):

    1. (A) 56
    2. (B) −28
    3. (C) 28
    4. (D) −56
  15. Q15.

    Arjun's cricket average over 10 innings: scores are 34, 56, 12, 78, 45, 23, 67, 89, 34, 62. Average?

    1. (A) 48
    2. (B) 50
    3. (C) 49
    4. (D) 51
  16. Q16.

    If a:b = 4:7 and b = 35, then a = ?

    1. (A) 16
    2. (B) 18
    3. (C) 28
    4. (D) 20
  17. Q17.

    Supplementary angle of 112° is:

    1. (A) 58°
    2. (B) 68°
    3. (C) 78°
    4. (D) 88°
  18. Q18.

    8 × (−9) + 3 × (−4) = ?

    1. (A) −84
    2. (B) −60
    3. (C) −72
    4. (D) −108
  19. Q19.

    The mean of 5 numbers is 14. If four of them are 12, 18, 9, 15, what is the fifth?

    1. (A) 14
    2. (B) 16
    3. (C) 15
    4. (D) 18
  20. Q20.

    Area of parallelogram with base 15 cm and height 8 cm:

    1. (A) 120 cm²
    2. (B) 60 cm²
    3. (C) 90 cm²
    4. (D) 180 cm²

Answer key and solutions

  1. Q1D−8 + 13 = +5
  2. Q2CHCF(45,60)=15; 45/15=3, 60/15=4 → 3:4
  3. Q3D3x = 22−7 = 15; x = 15/3 = 5
  4. Q4CArjun = (3/5) × 75 = 45
  5. Q5AArea = ½ × 14 × 9 = 63 cm²
  6. Q6B−15 − (−6) = −15 + 6 = −9
  7. Q7CTotal parts=12; adults=7/12 × 24000 = 14,000
  8. Q8A−7/3 can be written as p/q form; it is rational
  9. Q9CComplementary = 90° − 37° = 53°
  10. Q10B₹13,700 crore = 13,700 × 10⁷ = 1.37 × 10⁴ × 10⁷ = 1.37 × 10¹¹ rupees
  11. Q11C5y − 2y = 9 + 3 → 3y = 12 → y = 4
  12. Q12D6 × 8 = 48 cm
  13. Q13A3 × 50,000 = 150,000 cm = 1,500 m = 1.5 km
  14. Q14D(−4)×(−7)=28; 28×(−2) = −56
  15. Q15BSum = 34+56+12+78+45+23+67+89+34+62 = 500; Average = 500/10 = 50
  16. Q16Da/b = 4/7 → a = 4/7 × 35 = 20
  17. Q17BSupplementary = 180° − 112° = 68°
  18. Q18A−72 + (−12) = −84
  19. Q19BSum = 5×14 = 70; 12+18+9+15 = 54; Fifth = 70−54 = 16
  20. Q20AArea = base × height = 15 × 8 = 120 cm²

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Frequently asked questions

Why does Class 6 maths feel much harder than Class 5?

Class 6 introduces negative integers, variables in algebra, and abstract geometric concepts — three significant shifts at once. Children who found Class 5 easy sometimes struggle here not because of ability, but because the nature of maths changes. Regular practice papers like this one help bridge that gap by making the new concepts feel familiar before tests.

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