CBSE Math RevisionCBSE Class 10 Maths Board Paper 2022 (Standard and Basic)
The CBSE Class 10 Mathematics board exam paper from 2022 (Term 2), linked straight to CBSE. Time yourself, mark it against the scheme, then practise the weakest units.
The official paper and marking scheme
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Class 10 Mathematics Standard (all sets) 041
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Class 10 Mathematics Basic (all sets) 241
2021-22 had two terms; this is the Term 2 written paper (2 hours, 40 marks).
Sit it under exam conditions: open the paper, press Start timer, press Finish when time is up, then mark it against the mark scheme.
Try 3 Class 10 questions like these
Written and checked by us, not taken from the CBSE paper. Tap "Worked answer" to see every step.
Pair of Linear Equations in Two Variables · 3 marks
Five years ago Anil was three times as old as his daughter Meera. Ten years from now he will be twice as old as her. Find their present ages.
Worked answer
\(A - 5 = 3(M - 5)\) and \(A + 10 = 2(M + 10)\), i.e. \(A - 3M = -10,\ A - 2M = 10\) M1
Subtracting: \(M = 20\) A1
\(A = 50\): Anil 50 years, Meera 20 years A1Triangles · 5 marks
In \(\triangle ABC\), \(D\) is a point on \(BC\) such that \(\angle BAD = \angle BCA\). \(AB = 6\) cm, \(BC = 9\) cm and \(AC = 7.5\) cm. (a) Prove that \(\triangle BAD \sim \triangle BCA\). (b) Find \(BD\), \(DC\) and \(AD\).
Worked answer
(a) \(\angle B\) common and \(\angle BAD = \angle BCA\): \(\triangle BAD \sim \triangle BCA\) (AA) A1
(b) \(\dfrac{BA}{BC} = \dfrac{BD}{BA} = \dfrac{AD}{CA}\) M1
\(BD = \dfrac{6^2}{9} = 4\) cm A1
\(DC = 9 - 4 = 5\) cm A1
\(AD = \dfrac{6}{9} \times 7.5 = 5\) cm A1Coordinate Geometry · 3 marks
The centre of a circle is \(C(-2, 3)\) and one end of a diameter is \(A(4, -5)\). Find the other end of the diameter and the radius of the circle.
Worked answer
\(C\) is the mid-point of \(AB\): \(\dfrac{4 + x}{2} = -2,\ \dfrac{-5 + y}{2} = 3\) M1
\(B(-8, 11)\) A1
Radius \(= CA = \sqrt{36 + 64} = 10\) units A1
More on these topics: Pair of Linear Equations in Two Variables · Triangles · Coordinate Geometry
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What the paper covers
Class 10 has two levels: Mathematics Standard (041) and Mathematics Basic (241). Both are a 3-hour, 80-mark theory paper plus 20 marks of internal assessment. This paper is different: 2 h, 40 marks (see the note above). Unit weightage in the CBSE curriculum:
| Unit | Marks (of 80) |
|---|---|
| Number Systems | 6 |
| Algebra | 20 |
| Coordinate Geometry | 6 |
| Geometry | 15 |
| Trigonometry | 12 |
| Mensuration | 10 |
| Statistics and Probability | 11 |
Chapter links will appear once the CBSE course pages are live. 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.
More Class 10 papers
Questions students ask
Where do I download the Class 10 Maths board paper 2022?
The buttons above open CBSE's own copy on cbse.gov.in. We link to CBSE rather than host the file, so you always get the current version.
Is there a marking scheme?
Yes: the marking scheme button opens CBSE's own copy (a dashed button opens CBSE's page where it is listed). Mark your answers against it, then enter your mark.
How is the Class 10 Maths paper marked?
Class 10 has two levels: Mathematics Standard (041) and Mathematics Basic (241). Both are a 3-hour, 80-mark theory paper plus 20 marks of internal assessment. The unit weightage is in the table on this page.