Free CBSE Class 11 baseline test: start of Class 11

Find out where a student is starting from at the start of Class 11. 20 multiple-choice questions on the whole Class 10 syllabus that Class 11 builds on: real numbers, polynomials, linear and quadratic equations, APs, triangles, coordinate geometry, trigonometry, circles, mensuration, statistics 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 11 of CBSE Class 11. It covers the whole Class 10 syllabus that Class 11 builds on: real numbers, polynomials, linear and quadratic equations, APs, triangles, coordinate geometry, trigonometry, circles, mensuration, statistics and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:

HCF and LCM
Terminating decimal expansions
Zeroes and coefficients
Pair of linear equations
Consistency of a pair of equations
Solving quadratics by factorisation
Nature of roots
nth term of an AP
Sum of an AP
Basic Proportionality Theorem
Distance formula
Section formula
Trigonometric ratios
Trigonometric ratios of specific angles
Heights and distances
Length of a tangent
Area of a sector
Volume of combined solids
Mean of grouped data
Probability with playing cards

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 · nth term of an AP

An arithmetic sequence begins $10, 7, 4, 1, \dots$ . What is its 21st term?

$- 53$
$- 63$
$- 50$
$207$

Show the answer and working

Answer: C

$u_{21} = u_{1} + (21 - 1) d = 10 + 20 \times - 3 = - 50$ .

A is what you get if you used n instead of n − 1. B is what you get if you left out the first term. D is what you get if you multiplied the first term by n.

Sample 2 · Solving quadratics by factorisation

Solve $3 x^{2} + 11 x - 4 = 0$ .

$x = - \frac{1}{3} or x = 4$
$x = 1 or x = - 4$
$x = \frac{1}{3} or x = 4$
$x = \frac{1}{3} or x = - 4$

Show the answer and working

Answer: D

$3 x^{2} + 11 x - 4 = 0$ factorises as $(3 x - 1) (x + 4) = 0$ , so $x = \frac{1}{3} or x = - 4$ .

A is what you get if you took the numbers in the brackets as the solutions (wrong signs). B is what you get if you ignored the coefficient of x in a bracket. C is what you get if you made a sign error in one root.

What the report looks like

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

Score 13 / 20 (65%)

HCF and LCMGap
Terminating decimal expansionsGap
Zeroes and coefficientsDeveloping
Pair of linear equationsDeveloping
Consistency of a pair of equationsSecure
Solving quadratics by factorisationSecure

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 12: start-of-year baseline · Start of Class 12

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