ICSE Class 10 Maths Chapterwise Revision Exercise at a Glance
ICSE Class 10 Maths chapterwise revision is mixed-topic practice: one question may use GST, the next may use a recurring deposit formula, a coordinate-geometry formula, a trigonometric identity, or a probability rule. The aim is not to learn a new chapter, but to test whether you can identify the correct method without being told the chapter name first.
This page rewrites the earlier thin revision page into a teacher-style study resource for the Selina Concise Mathematics Class 10 Chapterwise Revision Exercise. It gives a topic map, a formula reference, worked examples, examiner-focused notes, and common mistakes. The exact question numbering can vary by textbook edition, so treat the topic map as a revision checklist and match it with the edition prescribed by your school.
Concise Mathematics Selina Solutions Class 10 ICSE Chapter 26 Chapterwise Revision Exercise: Topic Map
In the page inventory used for this rewrite, the Chapterwise Revision Exercise is arranged as a mixed set of 163 questions. The count below is useful for planning revision, but students should verify numbering with their own Selina Concise Mathematics edition because publishers may change question order across editions.
| Topic block | Question count in the supplied inventory | What the block mainly tests |
|---|---|---|
| GST | 5 | Discount, taxable value, intra-state CGST and SGST, inter-state IGST, input tax credit idea |
| Banking | 5 | Recurring deposit interest, maturity value, monthly instalment, time and rate |
| Shares and Dividend | 7 | Nominal value, market value, premium, discount, dividend and return on investment |
| Linear Inequations | 7 | Solution sets, number-line representation and integer solutions |
| Quadratic Equations | 5 | Factorisation, formula method and nature of roots |
| Problems on Quadratic Equations | 6 | Forming and solving equations from word problems |
| Ratio and Proportion | 7 | Compound ratio, continued proportion and direct use of proportional reasoning |
| Remainder and Factor Theorems | 5 | Remainder on division by x-a, factor checking and polynomial constants |
| Matrices | 5 | Matrix addition, multiplication and solving simple matrix equations |
| Arithmetic Progression | 5 | n^{\text{th}} term, sum, number of terms and missing terms |
| Geometric Progression | 11 | Common ratio, n^{\text{th}} term and finite sums |
| Reflection | 3 | Reflection in coordinate axes and standard lines |
| Section and Mid-point Formulae | 5 | Internal division, midpoint and coordinate calculation |
| Equations of Straight Lines | 12 | Slope, intercepts, parallel and perpendicular line conditions |
| Similarity | 11 | Similar triangles, proportional sides and area ratios |
| Loci | 3 | Equidistance conditions and construction-style reasoning |
| Circles | 6 | Angle properties, cyclic quadrilaterals and chord results |
| Tangents and Intersecting Chords | 9 | Tangent-radius relation, tangent lengths and chord products |
| Constructions | 2 | Accurate compass-ruler construction and written construction steps |
| Mensuration | 13 | Cylinder, cone, sphere and conversion of volume or surface area |
| Trigonometry | 14 | Identities, heights and distances, angle values and simplification |
| Statistics | 12 | Mean, median, mode, ogive, histogram and cumulative frequency |
| Probability | 5 | Favourable outcomes, total outcomes and simple probability |
Concept snapshot: Treat the Chapterwise Revision Exercise like a mixed toolbox. In a normal chapter, the book places the tool in your hand. In revision, you must first choose the tool. Ask: Is the question about money, equation, shape, graph, measurement, data or chance? That one classification step usually tells you which formula family to use.
How to Solve Mixed Maths Revision Questions Without Losing the Method
For mixed Maths practice, do not start by substituting numbers. Start by identifying the chapter. A GST question uses taxable value and tax split. A banking question uses recurring deposit interest. A shares question uses dividend on nominal value. A geometry question usually needs a stated theorem before calculation.
- Step 1: Name the topic in your rough work: GST, banking, shares, AP, coordinate geometry, trigonometry, mensuration, statistics or probability.
- Step 2: Write the correct formula before putting numbers into it.
- Step 3: Substitute values with units where needed, especially in commercial mathematics and mensuration.
- Step 4: Simplify line by line. Do not jump from the formula to the final answer.
- Step 5: Check whether the answer type matches the question: amount, rate, number of months, coordinate, angle, probability or proof.
For syllabus scope, compare your school textbook with the official CISCE website. For overlapping fundamentals such as quadratic equations, arithmetic progressions, coordinate geometry and statistics, NCERT Class 10 material can also help with concept reinforcement through the NCERT portal.
Formula Reference for ICSE Class 10 Maths Revision
Use this formula table before attempting the mixed exercise. Every formula must be written with the correct symbols before substitution.
| Chapter area | Formula or rule | When to use it |
|---|---|---|
| Discount and GST | \text{S.P.}=\text{MRP}\times \frac{100-d}{100} | To find selling price after a discount of d\% |
| GST split | \text{CGST}=\text{SGST}=\frac{\text{GST rate}}{2} | For an intra-state transaction |
| IGST | \text{IGST}=\text{GST rate on taxable value} | For an inter-state transaction |
| Recurring deposit | \(I=P\times \frac{n(n+1)}{2\times 12}\times \frac{r}{100}\) | When P is the monthly deposit, n is the number of months and r is the annual rate |
| Recurring deposit maturity value | \text{M.V.}=Pn+I | To add total deposits and interest |
| Shares and dividend | \text{Dividend}=\frac{\text{dividend rate}}{100}\times \text{N.V.}\times \text{number of shares} | Dividend is calculated on nominal value, not market value |
| Return on investment | \text{Return}\%=\frac{\text{annual income}}{\text{investment}}\times 100 | To compare income with actual money invested |
| Arithmetic progression | \(t_n=a+(n-1)d\) | To find the n^{\text{th}} term |
| Arithmetic progression sum | \(S_n=\frac{n}{2}\{2a+(n-1)d\}\) | To find the sum of the first n terms |
| Geometric progression | t_n=ar^{n-1} | To find the n^{\text{th}} term of a GP |
| Finite GP sum | S_n=a\frac{r^n-1}{r-1},\ r\neq 1 | Use this form when the common ratio is not 1 |
| Midpoint | \(\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\) | To find the midpoint of a line segment |
| Slope | m=\frac{y_2-y_1}{x_2-x_1} | To find the gradient of a straight line, when x_2\neq x_1 |
| Trigonometric identity | \sin^2 A+\cos^2 A=1 | To simplify expressions involving \sin A and \cos A |
| Probability | \(P(E)=\frac{\text{number of favourable outcomes}}{\text{total number of equally likely outcomes}}\) | To find probability in simple equally likely cases |
Worked Examples from the Chapterwise Revision Pattern
The worked examples below follow the kind of switching a student faces in the Selina Concise revision exercise. They are written in board-style steps so that the method is clear.
Worked Example 1: GST bill for an intra-state transaction
A shop has items with MRP and discount as follows: \text{₹}600 at 40\%, \text{₹}450 at 32\%, \text{₹}900 at 20\%, and \text{₹}750 at 30\%. The GST rate is 12\% for an intra-state transaction. Find the bill amount.
Step 1: Find the selling price of each item after discount.
\text{S.P. of first item}=600\times \frac{60}{100}=\text{₹}360
\text{S.P. of second item}=450\times \frac{68}{100}=\text{₹}306
\text{S.P. of third item}=900\times \frac{80}{100}=\text{₹}720
\text{S.P. of fourth item}=750\times \frac{70}{100}=\text{₹}525
Step 2: Add the taxable values.
\text{Total taxable value}=360+306+720+525=\text{₹}1911
Step 3: Since the transaction is intra-state, split 12\% GST into 6\% CGST and 6\% SGST.
\text{CGST}=1911\times \frac{6}{100}=\text{₹}114.66
\text{SGST}=\text{₹}114.66
Step 4: Add taxable value, CGST and SGST.
\text{Bill amount}=1911+114.66+114.66=\text{₹}2140.32
Final answer: The bill amount is \text{₹}2140.32.
Worked Example 2: Recurring deposit maturity value
A student deposits \text{₹}3200 per month in a recurring deposit account for 3 years at 9\% per annum. Find the maturity value.
Step 1: Write the given values. Here P=\text{₹}3200, r=9, and n=3\times 12=36 months.
Step 2: Use the recurring deposit interest formula.
I=P\times \frac{n(n+1)}{2\times 12}\times \frac{r}{100}
I=3200\times \frac{36\times 37}{24}\times \frac{9}{100}
I=3200\times 55.5\times \frac{9}{100}=\text{₹}15984
Step 3: Add total deposits and interest.
\text{M.V.}=Pn+I=3200\times 36+15984
\text{M.V.}=115200+15984=\text{₹}131184
Final answer: The maturity value is \text{₹}131184.
Worked Example 3: Shares, dividend and return
A man invests \text{₹}10000 in shares of a company. The face value of each share is \text{₹}100, the dividend is 10\%, and the total income is \text{₹}800. Find the market value of each share and the rate of return.
Step 1: Find dividend on one share. Dividend is calculated on face value.
\text{Dividend per share}=100\times \frac{10}{100}=\text{₹}10
Step 2: Find the number of shares.
\text{Number of shares}=\frac{800}{10}=80
Step 3: Use the investment to find the market value of each share.
\text{Market value of each share}=\frac{10000}{80}=\text{₹}125
Step 4: Find the rate of return on investment.
\text{Return}\%=\frac{800}{10000}\times 100=8\%
Final answer: The market value is \text{₹}125 per share and the return is 8\%.
Worked Example 4: Arithmetic progression term
Find the 30^{\text{th}} term of the sequence \frac{1}{2},1,\frac{3}{2},\ldots.
Step 1: Identify the first term and common difference.
a=\frac{1}{2},\qquad d=1-\frac{1}{2}=\frac{1}{2}
Step 2: Use the formula for the n^{\text{th}} term of an arithmetic progression.
t_n=a+(n-1)d
Step 3: Put n=30.
t_{30}=\frac{1}{2}+(30-1)\frac{1}{2}
t_{30}=\frac{1}{2}+\frac{29}{2}=\frac{30}{2}=15
Final answer: The 30^{\text{th}} term is 15.
Worked Example 5: Probability from equally likely outcomes
A fair die is thrown once. Find the probability of getting a prime number.
Step 1: List the sample space.
S=\{1,2,3,4,5,6\}
Step 2: Identify favourable outcomes. The prime numbers on a die are 2,3,5.
\text{Number of favourable outcomes}=3,\qquad \text{Total outcomes}=6
Step 3: Use the probability formula.
P(\text{prime})=\frac{3}{6}=\frac{1}{2}
Final answer: The probability of getting a prime number is \frac{1}{2}.
Examiner’s Mindset for ICSE Class 10 Maths Revision Answers
In a mixed revision answer, the examiner is looking for the method as much as the final number. A commercial mathematics answer should show taxable value, tax calculation and final amount. A coordinate geometry answer should show the formula and substituted coordinates. A geometry proof should state the theorem or reason used. A probability answer should clearly show favourable outcomes and total equally likely outcomes.
Do not write only the final answer in revision practice. Even when the final value is correct, skipped formula lines make it harder to award method credit in board-style evaluation. The safer habit is: formula, substitution, simplification, final answer with unit.
Common Mistakes Students Make in the Chapterwise Revision Exercise
- GST mistake: Students add GST on MRP before discount. The correction is to calculate the taxable value after discount first, then apply GST.
- Intra-state and inter-state confusion: Intra-state transactions use CGST and SGST, while inter-state transactions use IGST. Do not split IGST.
- Recurring deposit mistake: Students use years directly in the formula. The correction is to convert time into months, so 3 years becomes 36 months.
- Shares mistake: Dividend is calculated on nominal value, not on market value. Return on investment is calculated using the actual investment.
- AP and GP confusion: If the difference between consecutive terms is constant, it is an AP. If the ratio is constant, it is a GP.
- Probability mistake: Students count outcomes without checking that they are equally likely. The simple formula \(P(E)=\frac{\text{favourable outcomes}}{\text{total outcomes}}\) applies only when outcomes are equally likely.
How to Use This Page with Your Selina Concise Mathematics Textbook
Start with the topic map, then attempt one block at a time from your textbook. After each block, compare your method with the formula reference and worked examples here. For chapter-wise support, use the ICSE Class 10 Maths study page and the Selina Maths Class 10 solutions index.
Students who want broader textbook practice can also use ML Aggarwal Class 10 Maths solutions after finishing the Selina revision set. For subject planning, keep the ICSE Class 10 overview and ICSE books and prescribed textbook page open while organising chapters.
| Revision need | Use this part of the page | What to check before moving on |
|---|---|---|
| Formula recall | Formula reference | You can write the correct formula without looking at the answer. |
| Commercial mathematics | GST, banking, shares worked examples | You show each money step with \text{₹} and the correct percentage. |
| Sequence problems | Arithmetic progression worked example | You identify a, d, n before using t_n. |
| Probability questions | Probability worked example | You list favourable and total outcomes clearly. |
Frequently Asked Questions
How should I revise ICSE Class 10 Maths from the Selina Chapterwise Revision Exercise?
Revise ICSE Class 10 Maths by first classifying each question by topic, then writing the formula, substituting values and checking the answer type. Mixed revision is useful because it forces you to choose the method without the chapter name guiding you.
Is the Chapterwise Revision Exercise a new chapter in Selina Concise Mathematics Class 10?
No. The Chapterwise Revision Exercise is a mixed revision section, not a new concept chapter. It combines questions from commercial mathematics, algebra, geometry, mensuration, trigonometry, statistics and probability.
Why do I get wrong answers in GST questions even when my percentage calculation is correct?
The usual error is applying GST before discount or splitting tax in the wrong case. Calculate taxable value after discount first. Use CGST and SGST for intra-state transactions, and use IGST for inter-state transactions.
What is the recurring deposit formula used in ICSE Class 10 Maths?
The recurring deposit interest formula is \(I=P\times \frac{n(n+1)}{2\times 12}\times \frac{r}{100}\), where P is the monthly deposit, n is the number of months and r is the annual rate. The maturity value is \text{M.V.}=Pn+I.
How can I avoid mixing up AP and GP in Maths revision?
Check consecutive terms. If the difference is constant, use AP formulae such as \(t_n=a+(n-1)d\). If the ratio is constant, use GP formulae such as t_n=ar^{n-1}.
