CBSE Class 10 Maths Board Paper 2026 (Standard and Basic)

4 Class 10 questions like these, with worked solutions

Written and checked by us, not taken from the CBSE paper. Try each one, then tap "Worked solution" to see every step and its marks.

1. Pair of Linear Equations in Two Variables · 2 marks

   Solve by the elimination method: $3x+4y=10$, $2x-2y=2$.

   Worked solution

   Multiply the second equation by $2$: $4x-4y=4$; add to the first: $7x=14$ M1
   $x=2,y=1$ A1

2. Quadratic Equations · 2 marks

   Solve by factorisation: $8x^2-2x-15=0$.

   Worked solution

   $8x^2-12x+10x-15=4x(2x-3)+5(2x-3)=(4x+5)(2x-3)$ M1
   $x={\displaystyle \frac{3}{2}}$ or $x=-{\displaystyle \frac{5}{4}}$ A1

3. Coordinate Geometry · 2 marks

   Find the coordinates of the point which divides the segment joining $A(-3,4)$ and $B(9,-8)$ internally in the ratio $1:3$.

   Worked solution

   $({\displaystyle \frac{1(9)+3(-3)}{4}},{\displaystyle \frac{1(-8)+3(4)}{4}})$ M1
   $=(0,1)$ A1

4. Some Applications of Trigonometry · 2 marks

   A loading ramp rises from the ground to the floor of a truck, 1.2 m high, making an angle of ${30}^{\circ }$ with the ground. Find the length of the ramp and the horizontal distance it covers. (Take $\sqrt{3}=1.73$.)

   Worked solution

   $\sin {30}^{\circ }={\displaystyle \frac{1.2}{l}}\Rightarrow l=2.4$ m M1

   Horizontal distance $=1.2\cot {30}^{\circ }=1.2\sqrt{3}\approx 2.08$ m A1

More on these topics: Pair of Linear Equations in Two Variables · Quadratic Equations · Coordinate Geometry · Some Applications of Trigonometry

Marks often lost in these chapters

Check your answers to the questions above, and this paper's questions on the same chapters, for these slips.

• Pair of Linear Equations in Two Variables: Comparing only $a$ and $b$ ratios and forgetting $c$ when deciding between parallel and coincident. Also: Sign errors when subtracting equations; check the answer in both original equations. More on one page
• Quadratic Equations: Dividing both sides by $x$ and losing the root $x=0$. Also: Using $b$ instead of $-b$ in the formula, or dividing only the root term by $2a$. More on one page
• Coordinate Geometry: Swapping $m_1$ and $m_2$ in the section formula — $m_1$ multiplies the coordinates of the second point. Also: Forgetting the square root, or squaring a negative difference incorrectly. More on one page
• Some Applications of Trigonometry: Measuring the angle of depression from the vertical instead of the horizontal. Also: Forgetting the observer's eye height when a person's height is given. More on one page

What the paper covers

The unit weightage, with each unit's chapters, is on the Class 10 Maths papers page. We haven't mapped this paper question by question yet.

Our worked solutions to the 2026 paper

Written and checked by us (not CBSE's), done by hand the no-calculator way. CBSE prints several sets of each paper; we solved one set of each.

• Mathematics Standard (041), set 30/1/1: all 38 questions worked step by step, with the step marks from CBSE's marking scheme.
• Mathematics Basic (241), set 430/1/1: all 38 questions worked step by step, with our estimate of the step marks.

Solutions to the May 2026 papers will follow.

Formula booklet

CBSE Mathematics (Class 10 and Class 12) · CBSE · No official formula booklet

CBSE does not publish a formula booklet and none is given in the exam: formulas must be learnt. Use our one-page sheets to revise them.

More Class 10 papers

• Sample paper 2026-27
• Sample paper 2025-26
• Board paper 2025
• Sample paper 2024-25
• All 13 Class 10 papers