Free CBSE Class 12 baseline test: start of Class 12

Find out where a student is starting from at the start of Class 12. 20 multiple-choice questions on the Class 11 maths that Class 12 builds on: sets, relations and functions, trigonometry, linear inequalities, straight lines, conic sections, 3D geometry, limits and derivatives, permutations and combinations, and probability, 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 12 of CBSE Class 12. It covers the Class 11 maths that Class 12 builds on: sets, relations and functions, trigonometry, linear inequalities, straight lines, conic sections, 3D geometry, limits and derivatives, permutations and combinations, and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:

Sets (Class 11)
Counting relations (Class 11)
Domain of a function (Class 11)
Composition of functions (Class 11)
Radian measure (Class 11)
Compound angles (Class 11)
Trigonometric equations (Class 11)
Linear inequalities (Class 11)
Inequalities in two variables (Class 11)
Straight lines (Class 11)
Distance in three dimensions (Class 11)
Distance of a point from a line (Class 11)
The parabola (Class 11)
The circle (Class 11)
Limits (Class 11)
Trigonometric limits (Class 11)
Derivatives (Class 11)
Rate of change (Class 11)
Combinations (Class 11)
Probability (Class 11)

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 · Straight lines (Class 11)

What is the equation of the straight line through $(- 1, - 5)$ and $(3, 7)$ ?

$y = 3 x - 2$
$y = 3 x - 8$
$y = \frac{1}{3} x - 2$
$y = - 3 x - 8$

Show the answer and working

Answer: A

Gradient $3$ ; substitute a point to find $c = - 2$ : $y = 3 x - 2$ .

B is what you get if you made a sign error finding c. C is what you get if you found the gradient upside down. D is what you get if you made a sign error in the gradient.

Sample 2 · Permutations (Class 11)

In how many ways can 4 different books be arranged in a row on a shelf?

$16$
$24$
$10$
$4$

Show the answer and working

Answer: B

$4! = 4 \times 3 \times 2 \times 1 = 24$ .

A is what you get if you used 4². C is what you get if you added 4 + 3 + 2 + 1. D is what you get if you counted only the choices for the first place.

What the report looks like

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

Score 13 / 20 (65%)

Sets (Class 11)Gap
Counting relations (Class 11)Gap
Domain of a function (Class 11)Developing
Composition of functions (Class 11)Developing
Radian measure (Class 11)Secure
Compound angles (Class 11)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 10: start-of-year baseline · Start of Class 10
CBSE Class 11: start-of-year baseline · Start of Class 11

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