Practice Mathematics with our Class 8 online mock tests, updated for CBSE 2026-27. Each one gives an instant score, so you can quickly see how your preparation is going.
Class 8 Mathematics Tests, Chapter by Chapter
One test per Mathematics chapter, made for Class 8 and matched to the CBSE 2026-27 marking scheme. Click any chapter below to begin. No login needed, and you can retake tests freely.
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Class 8 Mathematics (Ganita Prakash): Concept Navigators & Chapter Diagnostic Tests Select any unit below to use live mathematical formula solvers and practice high-yield diagnostic questions from the new NCERT Ganita Prakash curriculum with step-by-step verified explanations. Interactive Concept Tool: Square, Cube & Power Calculator Q1.What is the unit digit of the square of the number 237? Answer: (b) 9. The units digit of the square of any number depends only on the square of its units digit. Here, $7 \times 7 = 49$, which ends in 9.
Q2.According to the laws of exponents (Power Play), what is the value of $(a^m) \times (a^n)$ for any non-zero base $a$? Answer: (a) $a^{m+n}$. When multiplying powers with the identical base, keep the base unchanged and add the exponents: $a^m \times a^n = a^{m+n}$.
Q3.What is the smallest natural number by which 392 must be multiplied so that the product becomes a perfect cube? Answer: (c) 7. Prime factorisation of $392 = 2 \times 2 \times 2 \times 7 \times 7 = 2^3 \times 7^2$. To make triplets of every prime factor, one more 7 is required ($2^3 \times 7^3 = 2744 = 14^3$).
Interactive Concept Tool: Baudhayana-Pythagoras Triplet Checker ($a^2 + b^2 = c^2$) Q1.The ancient Indian geometric text Baudhayana Sulba Sutra states that the diagonal of a rectangle produces by itself the area produced by: Answer: (b). Baudhayana Sulba Sutra (c. 800 BCE) enunciated the property that the square on the diagonal equals the sum of the squares on the sides, centuries before Pythagoras.
Q2.What is the sum of all interior angles of a convex quadrilateral? Answer: (a) 360°. Any quadrilateral can be partitioned into two triangles by drawing a diagonal. Since each triangle contains $180^\circ$, the total angle sum is $2 \times 180^\circ = 360^\circ$.
Q3.What is the formula to calculate the area of a trapezium having parallel sides $a$ and $b$ separated by perpendicular height $h$? Answer: (c) $\frac{1}{2}(a + b) \times h$. The area of a trapezium is half the product of the sum of the parallel sides and the perpendicular distance between them.
Interactive Concept Tool: Algebraic Identities & Distribution Evaluator Q1.What is the expanded form of $(2x + 3y)^2$? Answer: (b) $4x^2 + 12xy + 9y^2$. Using the identity $(a+b)^2 = a^2 + 2ab + b^2$: $(2x)^2 + 2(2x)(3y) + (3y)^2 = 4x^2 + 12xy + 9y^2$.
Q2.When we distribute $3x(2x - 5)$, the simplified expression obtained is: Answer: (a) $6x^2 - 15x$. By the Distributive Law ($a(b - c) = ab - ac$): $3x \times 2x - 3x \times 5 = 6x^2 - 15x$.
Q3.Factorise completely: $49a^2 - 36b^2$. Answer: (c) $(7a - 6b)(7a + 6b)$. Difference of two squares identity: $(7a)^2 - (6b)^2 = (7a - 6b)(7a + 6b)$.
Interactive Concept Tool: Direct & Inverse Proportion Solver Q1.If 15 workers can build a wall in 48 hours, how many workers will be required for the same work in 30 hours? Answer: (b) 24 workers. This is an inverse proportion situation: $x_1 y_1 = x_2 y_2 \Rightarrow 15 \times 48 = x_2 \times 30 \Rightarrow x_2 = \frac{720}{30} = 24$ workers.
Q2.What is the value of a 20% discount on a school bag marked at ₹850? Answer: (a). Discount = $\frac{20}{100} \times 850 = \text{\rupee}170$. Selling price = $\text{Marked Price} - \text{Discount} = 850 - 170 = \text{\rupee}680$.
Q3.On a Cartesian line graph (Tales by Dots and Lines), what is the coordinates of the origin where the horizontal and vertical axes meet? Answer: (d) (0, 0). The intersection of the horizontal $x$-axis and vertical $y$-axis is the reference origin with coordinates $(0, 0)$.
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| Term 1 Sample Paper Mock Test Set 29 |
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FAQs
You can start the latest Mathematics mock tests for Class 8 by selecting your chapter from the links above. These tests are free, dont need login and are optimized for the 2026-27 academic session.
Yes, our Mathematics online tests are strictly as per the latest CBSE pattern with 20% MCQ weightage and main focus on competency-based and case-study questions.
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Online tests help Class 8 students build confidence and time management. By solving above tests MCQs you can apply theoretical knowledge which is important for 2026-27 exams.
