Free CBSE Class 10 baseline test: start of Class 10

Find out where a student is starting from at the start of Class 10. 20 multiple-choice questions on the Class 9 maths that Class 10 builds on: number systems, polynomials, linear equations, coordinate geometry, lines, triangles, quadrilaterals and circles, Heron's formula, surface areas and volumes, and statistics, marked instantly, with a report that shows which topics are secure and which need work.

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What it covers

The test is written for the start of Class 10 of CBSE Class 10. It covers the Class 9 maths that Class 10 builds on: number systems, polynomials, linear equations, coordinate geometry, lines, triangles, quadrilaterals and circles, Heron's formula, surface areas and volumes, and statistics. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Rationalising the denominator (Class 9)
Laws of exponents (Class 9)
Rational and irrational numbers (Class 9)
Remainder theorem (Class 9)
Factorising by splitting the middle term (Class 9)
Zero of a polynomial (Class 9)
Algebraic identities (Class 9)
Linear equations in two variables (Class 9)
The Cartesian plane (Class 9)
Points on the axes (Class 9)
Lines and angles (Class 9)
Angle sum and exterior angles (Class 9)
Congruence of triangles (Class 9)
Angles in a circle (Class 9)
Quadrilaterals (Class 9)
Heron's formula (Class 9)
Volume of a sphere (Class 9)
Surface area of a cone (Class 9)
Mean (Class 9)
Median (Class 9)

How it works

20 questions, four options each, one mark per question, about 40 minutes. No calculator.
Online or on paper, alone or with a class: how the baseline tests work, and the questions students and teachers ask.

Two sample questions

These are like the questions in the test, with different numbers. They are not in the test itself.

Sample 1 · Factorising by splitting the middle term (Class 9)

Factorise $x^{2} + 8 x + 12$ fully.

$(x - 2) (x - 6)$
$(x + 2) (x - 6)$
$(x + 1) (x + 12)$
$(x + 2) (x + 6)$

Show the answer and working

Answer: D

Two brackets whose product is $x^{2} + 8 x + 12$ (check by expanding): $(x + 2) (x + 6)$ .

A is what you get if you got the signs in the brackets the wrong way round. B is what you get if you chose numbers with the right product but wrong sum. C is what you get if you chose a factor pair with the right product but the wrong sum.

Sample 2 · Mean (Class 9)

The marks of five students are $11, 7, 14, 9, 19$ . What is the mean?

$11$
$12$
$15$
$60$

Show the answer and working

Answer: B

Add the values and divide by how many there are: $12$ .

A is what you get if you gave the median. C is what you get if you divided by one fewer than the number of values. D is what you get if you forgot to divide.

What the report looks like

Example report (made-up results for one student):

Score 13 / 20 (65%)

Rationalising the denominator (Class 9)Gap
Laws of exponents (Class 9)Gap
Rational and irrational numbers (Class 9)Developing
Remainder theorem (Class 9)Developing
Factorising by splitting the middle term (Class 9)Secure
Zero of a polynomial (Class 9)Secure

Questions students and teachers ask

How long does it take?

20 multiple-choice questions, about 40 minutes. No calculator, as in the CBSE board exams. A teacher can set it as a timed test.

What does the result show?

The score, a topic-by-topic report with the weakest topics first, the common mistake behind each wrong answer, and links to practise each weak topic. It shows where a student is starting from; it is not a grade prediction.

Other free baseline tests

CBSE Class 11: start-of-year baseline · Start of Class 11
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What else is free here

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