List of top Mathematics Questions asked in CBSE Class IX

You know that \(\frac{1}{7}\) = 0142857_ . . Can you predict what the decimal expansions of \(\frac{2}{7},\frac{3}{7},\frac{4}{7},\frac{5}{7},\frac{6}{7}\) are, without actually doing the long division? If so, how? [Hint : Study the remainders while finding the value of 1/7 carefully.]

Express the following in the form \(\frac{p }{ q}\) , where p and q are integers and q ≠ 0. 

(i) 0.6(ii) 0.47 (iii) 0.001.

In Fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.

Classify the following numbers as rational or irrational : 

(i) \(\sqrt23 \)

(ii) \(\sqrt225 \)

(iii) 0.3796 

(iv) 7.478478... 

(v) 1.101001000100001...

Classify the following numbers as rational or irrational:

(i) \(2 - \sqrt5\)  

(ii) \((3 + \sqrt23) - \sqrt23\) 

(iii) \(\frac{2 \sqrt{7}} { 7 \sqrt7}\)

(iv) \(\frac{1}{\sqrt{2}}\)

(v) 2π 

Write the degree of each of the following polynomials: 

(i) 5x ³ + 4x ² + 7x (ii) 4 – y ² (iii) 5t – √7 (iv) 3.

Simplify each of the following expressions: 

(i) (3 + √3)(2 + √2) 

(ii) (3 + √3)(3 - √3) 

(iii) (√5 + √2 )² 

(iv) (√5 - √2)(√5 + √2)

Classify the following as linear, quadratic and cubic polynomials: 

(i) x ² + x (ii) x – x ³ (iii) y + y ² + 4 (iv) 1 + x (v) 3t (vi) r ² (vii) 7x ³

(i) Represent the information given above graphically. 
(ii) Which condition is the major cause of women’s ill health and death worldwide? 
(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

Find the zero of the polynomial in each of the following cases: 

(i) p(x) = x + 5 (ii) p(x) = x – 5 (iii) p(x) = 2x + 5 (iv) p(x) = 3x – 2 (v) p(x) = 3x

(vi) p(x) = ax, a ≠ 0 (vii) p(x) = cx + d, c ≠ 0, c, d are real numbers.