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Class 7 Maths Practice Paper

Rational Numbers, Algebra & Triangles · CBSE · Olympiad Style

📝 20 Questions 🎯 MCQ Format ✅ Answer Key Included 🖨 Print Ready (A4) 🆓 Free

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.

Q1.

Arjun simplifies: (−3/5) + (7/10). Answer:

A) −1/10

B) 1/10

C) 4/5

D) −4/5

Q2.

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

A) 33°

B) 43°

C) 53°

D) 63°

Q3.

If 2(x + 5) = 3x − 1, then x = ?

A) 9

B) 10

C) 11

D) 12

Q4.

Which is the additive inverse of −8/11?

A) 8/11

B) 11/8

C) −11/8

D) 1

Q5.

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

A) 60%

B) 65%

C) 70%

D) 75%

Q6.

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

A) 55°

B) 60°

C) 70°

D) 80°

Q7.

Simplify: 3x² − 5x + 2x² + 7x

A) 5x² − 2x

B) 5x² + 2x

C) x² + 2x

D) 5x + 2x²

Q8.

The exterior angle of a triangle equals:

A) Sum of all interior angles

B) Sum of two non-adjacent interior angles

C) The adjacent interior angle

D) 180°

Q9.

(−5/6) × (−12/25) = ?

A) −2/5

B) 2/5

C) 5/2

D) −5/2

Q10.

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

A) 44 m²

B) 132 m²

C) 154 m²

D) 176 m²

Q11.

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

A) Yes, 5²+12²=13²

B) No, doesn't satisfy

C) Yes, 5²+13²=12²

D) Cannot determine

Q12.

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

A) 5

B) 6

C) 7

D) 8

Q13.

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

A) ₹4,000

B) ₹4,500

C) ₹5,000

D) ₹5,500

Q14.

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

A) Commutative

B) Associative

C) Distributive

D) Closure

Q15.

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

A) 22 cm

B) 44 cm

C) 66 cm

D) 154 cm

Q16.

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

A) 3 hrs

B) 3.5 hrs

C) 4 hrs

D) 5 hrs

Q17.

3x/4 − x/3 = 5/12. Solve for x.

A) 1

B) 2

C) 3

D) 4

Q18.

A triangle with all sides equal is called:

A) Scalene

B) Isosceles

C) Equilateral

D) Right-angled

Q19.

−3/7 ÷ 9/14 = ?

A) −2/3

B) 2/3

C) −3/2

D) 3/2

Q20.

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

A) I

B) II

C) III

D) IV

✅ Answer Key & Solutions

Q1 B LCD=10: −6/10 + 7/10 = 1/10

Q2 B 180 − 65 − 72 = 43°

Q3 C 2x + 10 = 3x − 1 → x = 11

Q4 A Additive inverse of −8/11 is +8/11

Q5 C 28/40 × 100 = 70%

Q6 C 180 − 55 − 55 = 70°

Q7 B (3+2)x² + (−5+7)x = 5x² + 2x

Q8 B Exterior angle theorem: exterior angle = sum of two non-adjacent interior angles

Q9 B (5×12)/(6×25) = 60/150 = 2/5 (both negative, product is positive)

Q10 C πr² = 22/7 × 7 × 7 = 154 m²

Q11 A 25 + 144 = 169 = 13². Yes, right-angled

Q12 C 2x = 14 → x = 7

Q13 C ⅖ × 12500 = 5000

Q14 C The distributive property of multiplication over addition

Q15 B C = πd = 22/7 × 14 = 44 cm

Q16 C Cricket=5 parts=2.5h → 1 part=0.5h; Study=3×0.5=1.5h; Total=2.5+1.5=4h

Q17 A LCD=12: 9x/12 − 4x/12 = 5/12 → 5x/12 = 5/12 → x = 1

Q18 C Equilateral triangle has all three sides equal

Q19 A −3/7 × 14/9 = −42/63 = −2/3

Q20 B Negative x, positive y → Quadrant II

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