Class 7 CBSE boards math questions- 50 Important Questions

Mathematics is a crucial subject that enhances logical thinking and problem-solving skills. For Class 7 CBSE board students, a solid understanding of key concepts is essential for success. This article provides Class 7 CBSE boards math questions, covering topics like integers, fractions, algebra, geometry, and data handling.

These questions are carefully selected to align with the CBSE exam pattern, helping students strengthen their conceptual clarity and problem-solving speed. By practicing them, students can build confidence and improve accuracy in exams.

From basic arithmetic to algebraic expressions and geometry, this guide focuses on high-weightage topics, making revision more effective. Whether preparing for school tests or annual exams, these questions serve as a valuable resource for systematic practice.

Consistent practice and a strong conceptual foundation are key to excelling in math. Solve these Class 7 CBSE board math important questions and boost your performance with ease!

Class 7 CBSE boards math questions -Important Topics for Class 7 Math (CBSE Board)

Class 7 CBSE boards math questions

1. Integers – Properties, Addition & Subtraction, Multiplication & Division


2. Fractions & Decimals – Operations, Conversion, Word Problems


3. Data Handling – Mean, Median, Mode, Bar Graphs, Probability Basics


4. Simple Equations – Solving Linear Equations, Applications


5. Lines and Angles – Types of Angles, Pair of Lines, Properties


6. Triangles and its Properties – Types, Pythagoras Theorem, Angle Sum Property


7. Congruence of Triangles – SSS, SAS, ASA, RHS Criteria


8. Comparing Quantities – Percentage, Profit & Loss, Simple Interest


9. Rational Numbers – Properties, Addition, Subtraction, Multiplication, Division


10. Perimeter and Area – Rectangles, Squares, Triangles, Circles


11. Algebraic Expressions – Types, Operations, Identities


12. Exponents and Powers – Laws of Exponents, Scientific Notation


13. Symmetry – Line and Rotational Symmetry


14. Practical Geometry – Constructions, Drawing Geometrical Shapes


15. Visualizing Solid Shapes – 2D & 3D Shapes, Nets of 3D Shapes

50 Important Questions for Class 7 Maths

1. Integers

1. Evaluate: (-7) + 12 – (-5) – 8


2. Multiply: (-4) × 9 × (-2) × (-3)


3. Solve: (-15) ÷ 3 + 6 ÷ (-2)


4. Find the product of the largest negative integer and the smallest positive integer.


5. A submarine is at -325 m. It rises 125 m. What is its new position?

2. Fractions & Decimals

6. Convert 3.75 into a fraction in simplest form.


7. Find the sum: 5/6 + 2/9 + 1/18


8. Multiply: 4.2 × 2.5


9. Divide: 8.4 ÷ 0.7


10. Find the reciprocal of 5/8 and 7/3.

3. Data Handling

11. The marks of 6 students are 45, 50, 55, 50, 60, 55. Find the mode.


12. If the mean of 5 numbers is 30, find the sum of these numbers.


13. Construct a bar graph for data:



Apples: 20

Bananas: 35

Grapes: 15

Oranges: 25


14. What is the probability of drawing a red card from a deck of cards?


15. Find the median of 12, 18, 22, 30, 25, 24.

4. Simple Equations

Class 7 CBSE boards math questions

16. Solve: 2x + 5 = 15


17. Find the value of y: 3y – 7 = 20


18. If 5x – 2 = 3x + 8, find x.


19. The sum of three consecutive even numbers is 42. Find the numbers.


20. A number is 3 times another number. If their sum is 48, find the numbers.

5. Lines & Angles

Class 7 CBSE boards math questions

21. Two angles of a triangle are 65° and 45°. Find the third angle.


22. Find the supplement of 110°.


23. Find the value of x if two vertically opposite angles are 4x – 20° and 3x + 10°.


24. A straight angle is divided into two angles in the ratio 2:3. Find each angle.


25. The sum of two complementary angles is 90°. If one angle is x, express the other in terms of x.

6. Triangles & Congruence

Class 7 CBSE boards math questions

26. State whether a triangle with sides 5 cm, 12 cm, 13 cm is a right-angled triangle.


27. Find the missing angle in a triangle with angles 50° and 70°.


28. If two triangles are congruent by the SSS rule, what does it mean?


29. Prove that two triangles are congruent by the ASA criterion.


30. Identify the shortest side of a triangle with angles 30°, 60°, 90°.

7. Comparing Quantities

31. Find 20% of 1500.


32. A fan costs ₹1200 after a discount of 10%. Find the marked price.


33. The cost price of a book is ₹200. It is sold at ₹250. Find the profit percentage.


34. If ₹500 is deposited in a bank at 5% per annum for 2 years, find the simple interest.


35. Convert 0.4 into a percentage.

8. Rational Numbers

Class 7 CBSE boards math questions

36. Write two rational numbers between 2/3 and 3/4.


37. Find: (-7/9) + (4/9) – (5/9).


38. Multiply: (-5/6) × (3/10).


39. Divide: (-2/5) ÷ (3/7).


40. Express -7/8 in decimal form.

9. Perimeter & Area

41. Find the area of a rectangle with length 10 cm and breadth 8 cm.


42. Find the perimeter of a square with side 9 cm.


43. The radius of a circle is 7 cm. Find its area (π = 3.14).


44. The length of a rectangle is twice its width. If the perimeter is 36 cm, find its dimensions.


45. A triangle has sides 6 cm, 8 cm, 10 cm. Find its area using Heron’s formula.

10. Exponents & Powers

46. Simplify: (2³ × 5²) ÷ (2 × 5³).


47. Express 729 as a power of 3.


48. Evaluate: (2⁵ × 2³) ÷ 2².


49. Write 0.00027 in standard form.


50. Find the value of (5² – 2³) ÷ 3.