ICSE Syllabus Mathematics B

ICSE Syllabus Mathematics 2012. Download the latest syllabus to do your studies as per the latest guidelines issued by CBSE NCERT. The syllabus, weightage of chapters, blue print of question papers and the design of question papers is issued every year for the benefit of students. Access all syllabus for all subjects here. 

MATHEMATICS (51)

Aims:

1. To acquire knowledge and understanding of the terms, symbols, concepts, principles, processes, proofs, etc. of mathematics.

2. To develop an understanding of mathematical concepts and their application to further studies in mathematics and science.

3. To develop skills to apply mathematical knowledge to solve real life problems.

4. To develop the necessary skills to work with modern technological devices such as calculators and computers.

5. To develop drawing skills, skills of reading tables, charts and graphs.

6. To develop an interest in mathematics.

CLASS IX

There will be one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks.

The paper will be divided into two sections, Section I (40 marks), Section II (40 marks).

Section I: will consist of compulsory short answer questions.

Section II: Candidates will be required to answer four out of seven questions.

The solution of a question may require the knowledge of more than one branch of the syllabus.

1. Pure Arithmetic

(i) Irrational Numbers

(a) Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds.

(b) Irrational numbers as non-repeating, non- terminating decimals.

(c) Classical definition of a rational number

p/q, p, q ∈ Z, q≠ 0.

Hence, define irrational numbers as what cannot be expressed as above.

(d) Simplifying an expression by rationalising the denominator.

2. Commercial Mathematics

(i) Profit and Loss

The meaning of Marked price, selling price and discount, thus giving an idea of profit and loss on day to day dealings. Simple problems related to Profit and Loss and Discount, including inverse working.

(ii) Compound Interest

(a) Compound Interest as a repeated Simple Interest computation with a growing

Principal. Use of formula -

A = P(1+ r/ 100)ⁿ

 Finding CI from the

relation CI = A-P. Simple direct problems based on above formulae.

3. Algebra

(i) Expansions

(a ± b)²

(a ± b)³

(x ± a)(x ± b)

(ii) Factorisation

a² – b²

a³ ± b³

ax² + bx + c, by splitting the middle term.

(iii) Changing the subject of a formula.

• Concept that each formula is a perfect equation with variables.

• Concept of expressing one variable in terms, of another various operators on terms transposing the terms squaring or taking square root etc.

(iv) Linear Equations and Simultaneous (linear) Equations  

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