CBSE Class 10 Maths Official Sample Paper 2024-25 (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. Arithmetic Progressions · 2 marks

   The $4$th term of an AP is $11$ and its $9$th term is $31$. Find the AP.

   Worked solution

   $a+3d=11,a+8d=31\Rightarrow 5d=20\Rightarrow d=4$ M1
   $a=-1$: AP is $-1,3,7,11,\dots$ A1

2. Triangles · 2 marks

   $\mathrm{△}ABC\sim \mathrm{△}DEF$, $AB=5$ cm, $BC=7$ cm and $DE=7.5$ cm. Find $EF$.

   Worked solution

   ${\displaystyle \frac{AB}{DE}}={\displaystyle \frac{BC}{EF}}\Rightarrow {\displaystyle \frac{5}{7.5}}={\displaystyle \frac{7}{EF}}$ M1
   $EF=10.5$ cm A1

3. Some Applications of Trigonometry · 2 marks

   The angle of elevation of the top of a temple gopuram from a point 40 m from its base is ${60}^{\circ }$. Find the height of the gopuram.

   Worked solution

   $\tan {60}^{\circ }={\displaystyle \frac{h}{40}}$ M1

   $h=40\sqrt{3}$ m A1

4. Areas Related to Circles · 2 marks

   Find the area of a sector of a circle of radius 28 cm with central angle ${45}^{\circ }$. $(\pi =\frac{22}{7})$

   Worked solution

   ${\displaystyle \frac{45}{360}}\times {\displaystyle \frac{22}{7}}\times 28\times 28$ M1

   $=308{\text{cm}}^2$ A1

More on these topics: Arithmetic Progressions · Triangles · Some Applications of Trigonometry · Areas Related to Circles

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.

• Arithmetic Progressions: Using $a+nd$ instead of $a+(n-1)d$. Also: Finding the number of terms as ${\displaystyle \frac{l-a}{d}}$ and forgetting the “$+1$”. More on one page
• Triangles: Writing ${\displaystyle \frac{AD}{DB}}={\displaystyle \frac{DE}{BC}}$ — wrong; use ${\displaystyle \frac{AD}{AB}}={\displaystyle \frac{DE}{BC}}$. Also: Matching vertices in the wrong order, leading to wrong side ratios. 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
• Areas Related to Circles: Adding the triangle to the sector instead of subtracting it to get the minor segment. Also: Using the diameter in place of the radius. 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.

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.

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