What is the discriminant of the quadratic equation 3x^2 - 5x + 2 = 0, and what does it reveal about the nature of its roots?

D = 1; roots are real, rational, and unequal

D = -1; roots are complex and not real

D = 13; roots are real, irrational, and unequal

D = 0; roots are real and equal

Free ICSE (CISCE) practice

Free ICSE Class 10 Maths Quiz: 39 MCQs with Answers

Practise ICSE Class 10 maths for school tests and exams. Answer a question and it is marked straight away, with a short explanation. No sign-up needed; log in and your score is saved to your account.

Commercial Mathematics: Goods and Services Tax (GST)
Commercial Mathematics: Banking (Recurring Deposit Accounts - Computation of Interest and Maturity Value)
Algebra: Linear Inequations (in One Variable, Graphing Solution Sets on the Real Number Line)
Algebra: Quadratic Equations in One Variable (Factorisation, Quadratic Formula, Nature of Roots, Word Problems)
Algebra: Ratio and Proportion (Properties: Invertendo, Alternendo, Componendo, Dividendo, Continued Proportion, Mean Proportional)
Algebra: Factorisation of Polynomials (Remainder and Factor Theorems)
Algebra: Matrices (Order, Types, Addition, Subtraction, Scalar Multiplication, Matrix Multiplication)
Algebra: Arithmetic Progression (AP - General Term and Sum of n Terms)

39questions

~25 minto finish

ICSE Class 10ICSE (CISCE)

Keep building maths confidence

Bring the marked paper to a mentor and work on the topics it flags, at our Adarsh Nagar centre or online. See ICSE tuition in Jaipur or maths classes.

What is in this ICSE Class 10 maths quiz

This is a free 39-question multiple-choice quiz on ICSE Class 10 maths, put together and checked by Reportcards, A Learning Centre in Jaipur. It covers the ICSE Class 10 mathematics syllabus (CISCE). You can take it without an account. Log in with a free account and your score is saved, with points and badges; otherwise it stays on the device you answer on.

The 39 questions are spread across these topics, so a weak area shows up as a pattern rather than as one unlucky question:

Commercial Mathematics: Goods and Services Tax (GST) · 2 questions
Commercial Mathematics: Banking (Recurring Deposit Accounts - Computation of Interest and Maturity Value) · 2 questions
Algebra: Linear Inequations (in One Variable, Graphing Solution Sets on the Real Number Line) · 2 questions
Algebra: Quadratic Equations in One Variable (Factorisation, Quadratic Formula, Nature of Roots, Word Problems) · 2 questions
Algebra: Ratio and Proportion (Properties: Invertendo, Alternendo, Componendo, Dividendo, Continued Proportion, Mean Proportional) · 2 questions
Algebra: Factorisation of Polynomials (Remainder and Factor Theorems) · 2 questions
Algebra: Matrices (Order, Types, Addition, Subtraction, Scalar Multiplication, Matrix Multiplication) · 2 questions
Algebra: Arithmetic Progression (AP - General Term and Sum of n Terms) · 2 questions
Coordinate Geometry: Reflection (Points and Lines across x-axis, y-axis, origin, and lines parallel to axes) · 2 questions
Coordinate Geometry: Section Formula and Mid-Point Formula · 2 questions
Coordinate Geometry: Equation of a Straight Line (Slope-Intercept Form, Point-Slope Form, Two-Point Form, Conditions for Parallel and Perpendicular Lines) · 2 questions
Geometry: Similarity (Conditions of Similarity of Triangles, Applications to Maps and Models, Ratio of Areas of Similar Triangles) · 2 questions
Geometry: Circles (Angle Properties, Cyclic Properties, Tangent and Secant Properties, Intersecting Chords) · 2 questions
Mensuration: Surface Area and Volume of Right Circular Cylinders, Cones, Spheres, and Hemispheres (Including Combinations and Melting/Recasting of Solids) · 2 questions
Trigonometry: Trigonometric Identities (Proof and Application of Elementary Identities) · 2 questions
Probability: Classical Definition and Single-Event Experiments (Coins, Dice, Cards, Numbered Slips) · 2 questions
Commercial Mathematics: Shares and Dividends · 1 question
Geometry: Loci (Theorems and Geometric Constructions based on Locus) · 1 question
Geometry: Constructions (Tangents to a Circle, Incircle and Circumcircle of Triangles and Regular Hexagons) · 1 question
Trigonometry: Heights and Distances (Solving 2D Problems with Angles of Elevation and Depression) · 1 question
Statistics: Measures of Central Tendency - Mean (Direct, Assumed Mean / Short-Cut, and Step-Deviation Methods) · 1 question
Statistics: Graphical Representation - Cumulative Frequency Curve / Ogive (Finding Median, Quartiles, and Interquartile Range) · 1 question
Statistics: Mode (Determination from Histogram) · 1 question

How the marking works

Each question is marked the moment it is answered, and the explanation appears straight away while the question is still fresh. A test that only gives a score at the end teaches a student what they scored; a test that explains each answer teaches them why. At the end you get a marked paper listing every question that was missed, with a topic-by-topic breakdown of strengths and focus areas, so the next revision session has somewhere obvious to start.

A question from this quiz

A shopkeeper in Pune sells a bicycle with a marked price of Rs 6,000 to a consumer in Pune at a discount of 15%. If the rate of GST is 12%, calculate the amount of CGST paid by the consumer.

Rs 306
Rs 612
Rs 270
Rs 360

Answer: Rs 306

The discounted price of the bicycle is Rs 6,000 - Rs 900 = Rs 5,100. For an intra-state transaction, CGST is half of the total GST rate of 12%, which is 6%. Therefore, CGST = 6% of Rs 5,100 = Rs 306.

How to use it at home

Sit the quiz once cold, without notes, and keep the marked paper. Revise only the topics the paper flags, then take it again a week later: the second score is the one worth talking about, because it measures what changed rather than what was already known. The marked paper is often more useful than the score itself, since it names the topic rather than saying a student is "weak in ICSE Class 10 maths".

Related on this site: the ICSE Class 9 Maths Quiz, all free quizzes, ICSE tuition.

Questions parents ask

Is this ICSE Class 10 Maths Quiz free?

Yes. It is completely free and works without an account. Log in with a free account if you want your scores saved, with points, streaks and badges; otherwise the score stays on your own device.

How long does it take?

Most students finish the 39 questions in about 25 minutes. You can stop part way and resume later on the same device, because your progress is saved in the browser.

Which class and board is it for?

It is written for ICSE Class 10 students following ICSE (CISCE), covering the ICSE Class 10 mathematics syllabus (CISCE). Any student revising the same topics can use it.

Are the answers explained?

Yes. Every question is marked as soon as it is answered and each answer carries a short explanation, and the marked paper at the end lists every question that was missed.