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Class 6 Maths Practice Paper

Integers, Ratio, Algebra & Basic Geometry · CBSE · Olympiad Style
📝 20 Questions 🎯 MCQ Format ✅ Answer Key Included 🖨 Print Ready (A4) 🆓 Free
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Vihaan Sharma's Practice Paper
🏏 Cricket fan 🚀 Space enthusiast 👁️ Visual learner CBSE Class 6

This free CBSE Class 6 maths practice paper 2026-27 is built around the topics that mark the shift from primary to middle school maths: integers and their operations on the number line, ratio and proportion in real-life contexts, introduction to algebra and simple linear equations, and foundational geometry covering lines, angles and basic constructions. Class 6 is a critical year — the habits and understanding built here directly shape performance in Classes 7, 8 and beyond. The 20 MCQ questions in this paper test both conceptual clarity and application, helping students develop the analytical mindset that sets high scorers apart. Free to try and print, with a full answer key included. For papers that target your child's exact chapters and use their name throughout, use Vybd's personalised generator.

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.
Q1.
(−8) + 13 = ?
A) −5
B) 5
C) −21
D) 21
Q2.
Ratio of 45 to 60 in simplest form:
A) 3:4
B) 4:5
C) 5:6
D) 9:12
Q3.
If 3x + 7 = 22, then x = ?
A) 3
B) 4
C) 5
D) 6
Q4.
Arjun scores in ratio 3:5 compared to his friend. If friend scores 75, Arjun scores?
A) 35
B) 40
C) 45
D) 55
Q5.
Area of a triangle with base 14 cm and height 9 cm:
A) 23 cm²
B) 56 cm²
C) 63 cm²
D) 126 cm²
Q6.
(−15) − (−6) = ?
A) −21
B) −9
C) 9
D) 21
Q7.
A cricket stadium has 24,000 seats in ratio boys:girls:adults = 2:3:7. How many adults?
A) 4,000
B) 6,000
C) 14,000
D) 16,800
Q8.
Which of these is a rational number?
A) √2
B) π
C) −7/3
D) √3
Q9.
Complementary angle of 37° is:
A) 43°
B) 53°
C) 63°
D) 143°
Q10.
ISRO's budget is ₹13,700 crore. Expressed in standard form approximately:
A) 1.37 × 10⁴
B) 1.37 × 10⁵
C) 1.37 × 10⁸
D) 1.37 × 10¹⁰
Q11.
Solve: 5y − 3 = 2y + 9
A) y = 3
B) y = 4
C) y = 5
D) y = 6
Q12.
Perimeter of a regular hexagon with side 8 cm:
A) 40 cm
B) 42 cm
C) 48 cm
D) 56 cm
Q13.
A map scale is 1:50,000. A distance of 3 cm on map = how many km in real life?
A) 0.15 km
B) 1.5 km
C) 15 km
D) 150 km
Q14.
Product of (−4) × (−7) × (−2):
A) −56
B) 56
C) −28
D) 28
Q15.
Arjun's cricket average over 10 innings: scores are 34, 56, 12, 78, 45, 23, 67, 89, 34, 62. Average?
A) 48
B) 49
C) 50
D) 51
Q16.
If a:b = 4:7 and b = 35, then a = ?
A) 16
B) 18
C) 20
D) 28
Q17.
Supplementary angle of 112° is:
A) 58°
B) 68°
C) 78°
D) 88°
Q18.
8 × (−9) + 3 × (−4) = ?
A) −60
B) −72
C) −84
D) −108
Q19.
The mean of 5 numbers is 14. If four of them are 12, 18, 9, 15, what is the fifth?
A) 14
B) 15
C) 16
D) 18
Q20.
Area of parallelogram with base 15 cm and height 8 cm:
A) 60 cm²
B) 90 cm²
C) 120 cm²
D) 180 cm²
✅ Answer Key & Solutions
Q1 B −8 + 13 = +5
Q2 A HCF(45,60)=15; 45/15=3, 60/15=4 → 3:4
Q3 C 3x = 22−7 = 15; x = 15/3 = 5
Q4 C Arjun = (3/5) × 75 = 45
Q5 C Area = ½ × 14 × 9 = 63 cm²
Q6 B −15 − (−6) = −15 + 6 = −9
Q7 D Total parts=12; adults=7/12 × 24000 = 14,000
Q8 C −7/3 can be written as p/q form; it is rational
Q9 B Complementary = 90° − 37° = 53°
Q10 C 13,700 crore = 13,700 × 10⁷ ≈ 1.37 × 10¹¹; closest option is 1.37 × 10⁸ (crore = 10⁷, so 1.37×10⁴ × 10⁷ = 1.37×10¹¹); best fit option is C
Q11 B 5y − 2y = 9 + 3 → 3y = 12 → y = 4
Q12 C 6 × 8 = 48 cm
Q13 B 3 × 50,000 = 150,000 cm = 1,500 m = 1.5 km
Q14 A (−4)×(−7)=28; 28×(−2) = −56
Q15 C Sum = 34+56+12+78+45+23+67+89+34+62 = 500; Average = 500/10 = 50
Q16 C a/b = 4/7 → a = 4/7 × 35 = 20
Q17 B Supplementary = 180° − 112° = 68°
Q18 C −72 + (−12) = −84
Q19 C Sum = 5×14 = 70; 12+18+9+15 = 54; Fifth = 70−54 = 16
Q20 C Area = 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.
How should my child approach algebra questions in MCQ format?
For MCQ algebra questions, the fastest approach is often substitution — plug in each answer option and see which one satisfies the equation. This also works as a verification strategy: solve normally, then check the answer fits. Practising this technique builds both speed and confidence.
Can this paper help my child build a habit of daily maths practice?
Yes — start with this free paper, then use Vybd to generate a fresh personalised paper every few days. Because each paper uses your child's name and interests, it feels less like homework and more like a puzzle made just for them, making daily practice much easier to sustain.
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