ICSE Class 10 Maths Selina Solutions PDF overview
ICSE Class 10 Maths preparation becomes easier when Selina Concise Mathematics is used as a working book, not as an answer book. These ICSE Class 10 Maths solutions are presented as a cleaned-up Selina Maths Class 10 Solutions PDF study hub: it preserves the chapter PDF links, explains how to use them without copying answers, and adds teacher-style worked examples for common ICSE Mathematics methods.
Use the PDFs below to revise a chapter after you have attempted the exercise in your notebook. For official syllabus and examination instructions, check the official CISCE website. This site is an independent study resource and is not affiliated with CISCE.
For broader revision, keep this page beside the ICSE Class 10 Maths resources, the ICSE Class 10 syllabus, ICSE Class 10 previous year papers, ICSE sample papers and ML Aggarwal Class 10 solutions.
Selina Maths Class 10 Solutions PDF chapter directory
The table below keeps the existing PDF resources reachable. The chapter titles are written from the current PDF resource titles on this page. Selina editions can rename or reorder a few commercial mathematics and geometry chapters, so match your school textbook by topic name as well as chapter number.
| Chapter | PDF topic | What to revise before opening the PDF | Download |
|---|---|---|---|
| 1 | Compound Interest | Commercial arithmetic: percentage change, interest growth and amount payable. | |
| 2 | Banking | Recurring deposit style calculations and money-based formula substitution. | |
| 3 | Banking | Additional banking practice from the existing PDF resource set on this page. | |
| 4 | Linear Inequations | Solving one-variable inequalities and representing solution sets correctly. | |
| 5 | Linear Inequations | More practice on inequations and replacement-set style answers. | |
| 6 | Quadratic Equations | Factorisation, completing the square, formula method and root checking. | |
| 7 | Problems on Quadratic Equations | Word problems converted into a quadratic equation and solved with valid roots. | |
| 8 | Ratio | Direct, inverse and compound ratio ideas used in algebraic problems. | |
| 9 | Matrices | Order of a matrix, equality, addition, subtraction, transpose and scalar multiplication. | |
| 10 | Arithmetic Progression | Finding common difference, nth term and sums with correct signs. | |
| 11 | Geometric Progression | Common ratio, nth term, sum of terms and geometric mean. | |
| 12 | Reflection | Reflection of points and figures in axes, origin and standard lines. | |
| 13 | Distance and Section Formulae | Distance formula, section formula, midpoint and coordinate proofs. | |
| 14 | Equation of a Line | Slope, intercepts and equations in coordinate geometry. | |
| 15 | Similarity | Similar triangles, proportional sides, area ratio and map-model applications. | |
| 16 | Loci | Locus rules and construction-based reasoning. | |
| 17 | Circles | Circle theorems, chords, arcs and angle properties. | |
| 18 | Loci | Additional locus and construction resource preserved from the existing page. | |
| 19 | Chord Properties of a Circle | Perpendicular from centre to chord, equal chords and related results. | |
| 20 | Angle Properties of a Circle | Angles in the same segment, cyclic quadrilateral and diameter results. | |
| 21 | Tangent Properties of Circles | Tangent-radius perpendicularity and tangents from an external point. | |
| 22 | Constructions | Compass-and-ruler construction steps and justification. | |
| 23 | Circumference and Area of a Circle | Circle area, circumference and sector-type calculation practice. | |
| 24 | Cone and Sphere | Surface area and volume of cones, spheres and related solids. | |
| 25 | Probability | Sample space, favourable outcomes and probability calculation. |
What Selina Concise Mathematics Class 10 ICSE covers
Selina Concise Mathematics Class 10 ICSE follows the usual ICSE Class 10 Maths spread: commercial mathematics, algebra, coordinate geometry, geometry, mensuration, trigonometry, statistics and probability. The exact order can vary by edition, but the method a student must show in the answer script is stable: state the formula or theorem, substitute carefully, calculate step by step, and give the final answer with the correct unit where needed.
| Area | Typical classroom skill | What the examiner usually looks for |
|---|---|---|
| Commercial Mathematics | GST, banking, shares, dividend or interest problems | Correct interpretation of the rate, principal, time, face value or market value. |
| Algebra | Inequations, quadratic equations, ratio, matrices, A.P. and G.P. | Correct formula, sign handling and rejection of impossible roots where the context requires it. |
| Coordinate Geometry | Distance, section formula, midpoint, slope and line equation | Substitution in the correct formula and clear coordinate notation. |
| Geometry | Similarity, loci, circles, chords, tangents and constructions | The theorem must match the diagram; unsupported angle claims lose credit. |
| Mensuration | Area, surface area and volume of solids | Correct formula, same units throughout and a final answer in square or cubic units. |
| Trigonometry | Identities and heights and distances | Use of standard identities and a diagram or labelled right triangle when the problem is application-based. |
| Statistics and Probability | Mean, median, mode, ogive, histograms and probability | Correct table work, scale selection and final probability in simplified form. |
Concept snapshot: treat each solution like a map, not a shortcut
A Selina Maths Class 10 solution should be read the way you read a route map. The final answer is only the destination. The marks usually come from the road: formula selection, substitution, simplification, units and conclusion. If you copy only the last line, you may know where the answer ends, but you may not be able to reach it in a new question.
Formula and method reference for ICSE Class 10 Maths
Before using any Selina Maths Class 10 Solutions PDF, revise the core formula connected to that chapter. The table below is not a replacement for the textbook; it is a quick method check for common ICSE Class 10 Maths problem types.
| Topic | Formula or method | Teacher note |
|---|---|---|
| Arithmetic Progression | t_n = a + (n-1)d, S_n = \frac{n}{2}[2a+(n-1)d] | Find d with sign. A decreasing A.P. has negative d. |
| Quadratic Equations | ax^2+bx+c=0, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} | In word problems, reject a negative root only when the quantity cannot be negative. |
| Coordinate Geometry | d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, m=\frac{y_2-y_1}{x_2-x_1} | Do not interchange x– and y-coordinates while substituting. |
| Mensuration | Cone: l=\sqrt{r^2+h^2}, \text{CSA}=\pi rl, V=\frac{1}{3}\pi r^2h | Area uses square units; volume uses cubic units. |
| Trigonometry | \sin^2\theta+\cos^2\theta=1, 1+\tan^2\theta=\sec^2\theta | Prove identities by changing one side into the other; avoid changing both sides at once without explanation. |
| Probability | P(E)=\frac{\text{number of favourable outcomes}}{\text{total number of equally likely outcomes}} | List the sample space when outcomes are small enough to count directly. |
Worked examples for Selina Maths Class 10 practice
These are original model questions written to show the working style expected in ICSE Class 10 Maths. They are not copied from a chapter exercise. Use them to check whether you can present steps clearly before opening the Selina Maths Class 10 Solutions PDF for the related chapter.
Worked Example 1: Find an A.P. term
Question: In the arithmetic progression 7, 11, 15, 19, \ldots, find the 25^{\text{th}} term.
Step 1: Identify the first term and common difference. Here, a=7 and d=11-7=4.
Step 2: Use the nth term formula for an arithmetic progression.
t_n=a+(n-1)d
Step 3: Substitute n=25, a=7 and d=4.
t_{25}=7+(25-1)\times 4=7+24\times 4=7+96=103
Final answer: The 25^{\text{th}} term is 103.
Worked Example 2: Form and solve a quadratic equation
Question: The length of a rectangle is 3\text{ cm} more than its breadth. If its area is 70\text{ cm}^2, find its dimensions.
Step 1: Let the breadth be x\text{ cm}. Then the length is (x+3)\text{ cm}.
Step 2: Use the area formula for a rectangle.
\text{Area}=\text{length}\times\text{breadth}
Step 3: Substitute the given area.
x(x+3)=70
x^2+3x-70=0
Step 4: Factorise the quadratic equation.
x^2+10x-7x-70=0
x(x+10)-7(x+10)=0
(x+10)(x-7)=0
Step 5: Find the possible values of x.
x=-10 \quad \text{or} \quad x=7
Step 6: Reject x=-10 because breadth cannot be negative. Therefore, x=7.
Final answer: Breadth =7\text{ cm} and length =10\text{ cm}.
Worked Example 3: Mensuration of a cone
Question: A cone has radius 7\text{ cm} and height 24\text{ cm}. Find its curved surface area, total surface area and volume. Use \pi=\frac{22}{7}.
Step 1: Find the slant height l.
l=\sqrt{r^2+h^2}=\sqrt{7^2+24^2}=\sqrt{49+576}=\sqrt{625}=25\text{ cm}
Step 2: Find the curved surface area.
\text{CSA}=\pi rl=\frac{22}{7}\times 7\times 25=550\text{ cm}^2
Step 3: Find the total surface area.
\text{TSA}=\pi r(l+r)=\frac{22}{7}\times 7\times (25+7)=22\times 32=704\text{ cm}^2
Step 4: Find the volume.
V=\frac{1}{3}\pi r^2h=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 24=1232\text{ cm}^3
Final answer: \text{CSA}=550\text{ cm}^2, \text{TSA}=704\text{ cm}^2 and V=1232\text{ cm}^3.
How to use solutions for board-style preparation
The right way to use Selina Concise Mathematics Class 10 ICSE solutions is to separate practice from checking. During practice, keep the PDF closed. After solving, use the PDF only to compare the method, locate the error and rewrite the corrected solution once.
- First attempt: Solve the exercise question without seeing the answer.
- Method check: Compare your formula, substitution and final line with the solution.
- Error log: Write one sentence on the error, such as “I used d=4 instead of d=-4” or “I forgot square units.”
- Second attempt: Redo the same question after a gap. A question is not mastered until you can solve it without looking at the PDF.
- Timed revision: Mix algebra, geometry, trigonometry and statistics questions so that you do not become dependent on one chapter pattern.
Examiner’s mindset: where steps matter
In ICSE Class 10 Maths, a correct final answer is strongest when the working proves how you reached it. In algebra, write the formula or equation before substituting values. In geometry, name the theorem or property used. In mensuration, write units at the end of each area or volume answer. In statistics, keep table columns neat because one wrong cumulative frequency can change the median or ogive reading.
Common mistakes students make in ICSE Class 10 Maths
- Using only chapter numbers: Selina editions can reorder or rename chapters. Match the topic name before using any PDF.
- Skipping the reason in geometry: A statement such as “\angle A=\angle B” needs a reason, for example equal chords subtend equal angles or angles in the same segment are equal.
- Forgetting the sign of common difference: In 18, 15, 12, \ldots, the common difference is -3, not 3.
- Accepting both quadratic roots blindly: In age, length, breadth and money problems, a negative value may be mathematically possible but physically invalid.
- Mixing square and cubic units: Surface area is measured in units such as \text{cm}^2; volume is measured in units such as \text{cm}^3.
- Changing both sides in an identity proof: For trigonometric identities, convert one side into the other in a clear chain of steps.
Frequently Asked Questions
Are these Selina Maths Class 10 Solutions PDF links useful for ICSE Class 10 Maths?
Yes, the Selina Maths Class 10 Solutions PDF links are useful for ICSE Class 10 Maths revision when you use them after attempting the questions yourself. Use the topic title to match your textbook edition before relying on a chapter number.
Should I read the solution before solving a Selina Maths exercise?
No. First solve the exercise in your notebook, then open the solution to check the method. This builds the calculation habit needed for ICSE Class 10 Maths, especially in algebra, mensuration and statistics.
How do I revise Selina Concise Mathematics Class 10 ICSE before exams?
Revise Selina Concise Mathematics Class 10 ICSE in three passes: formulas first, exercise corrections second, and mixed timed questions third. Keep an error log for signs, units, theorem reasons and graph scales.
Is the Selina textbook alone enough for ICSE Class 10 Maths practice?
Selina is a strong classroom textbook, but exam practice should also include CISCE specimen papers and previous-year question papers. The textbook builds chapter skill; papers train you to choose questions and manage time.
Why do my answers differ from the Selina Maths Class 10 Solutions PDF?
Differences usually come from a wrong sign, a copied value, an edition mismatch, or an unsimplified final answer. Recheck the formula, substitute values again, and confirm that your PDF topic matches your textbook chapter.
Sources referenced
- CISCE official syllabus and publications pages for ICSE Class X.
- CISCE specimen question papers and previous-year Mathematics paper format.
- Selina Concise Mathematics Class 10 textbook topic structure used in ICSE schools.
- NCERT Class 10 Mathematics for standard algebra, trigonometry, statistics and probability conventions where concepts overlap.
