Class 6 Maths Practice Paper
CBSE · Olympiad Style · 20 MCQ Questions · Answer Key Included
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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
A
Arjun Sharma's Practice Paper
🏏 Cricket fan 🚀 Space enthusiast 👁️ Visual learner CBSE Class 6

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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