Question 1 :
In the given figure, ∆ABC ~ ∆QPR. Then ∠R is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e5a1766ce1c2c83a5c7"/>

Question 2 :
In the given figure, AB is a diameter of the circle. If AC = BC, then ∠CAB is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6a6150ce6eb5a146ea"/>

Question 3 :
In the given figure, if O is the centre of the circle then the value of x is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6f6150ce6eb5a146f4"/>

Question 4 :
If ∆ABC ~ ∆QRP, {tex}\frac { area\quad of\quad \Delta ABC }{ area\quad of\quad \Delta PQR } = \frac {9}{4} {/tex}, AB = 18 cm and BC = 15 cm, then the length of PR is equal to<br/>

Question 5 :
In the given figure, O is the centre of the circle. If ∠BAO = 60°, then ∠ADC is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6d819305523f232926"/>

Question 6 :
If the radii are {tex} r_{1} {/tex} and {tex} r_{2}, {/tex} the length of their transverse common tangent is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5fb79e302282923f071fadf9"><br>

Question 7 :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is<br/>

Question 8 :
In an A.P., if a = 3.5, d = 0, n = 101, then a_n will be<br/>

Question 9 :
A ratio equivalent to the ratio {tex} \frac { 2 }{ 3 } {/tex} : {tex} \frac { 5 }{ 7 } {/tex} is<br/>

Question 11 :
Which of the following are true ? a) If p(x) is divided by (x - a), the remainder is p(a) b) If p(a) = 0, then (x + a) perfectly divides p(x) c) Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor d) If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)

Question 12 :
Find the quadratic polynomial which when divided by ( 2 x − 6 ) , ( 2 x + 5 ) , ( 2 x + 2 ) leaves remainders of 40 , ( − 15 ) , ( − 12 ) respectively

Question 13 :
Which of the following are true?<br> a) A row matrix is a square matrix <br>b) A column matrix is a square matrix<br>c) A null matrix is a square matrix <br>d) An identity matrix is a square matrix<br>

Question 14 :
If Jagbeer invest ₹10320 on ₹100 shares at a discount of ₹ 14, then the number of shares he buys is<br/>

Question 15 :
Arun possesses 600 shares of ₹25 of a company. If the company announces a dividend of 8%, then Arun’s annual income is<br/>

Question 16 :
A retailer purchases a fan for ₹ 1200 from a wholesaler and sells it to a consumer at 15% profit. If the rate of sales tax (under VAT) at every stage is 8%, then choose the correct answer from the given four options. The cost of the fan to the consumer inclusive of tax is<br/>

Question 17 :
A wholesaler buys a computer from a manufacturer for ₹ 40000. He marks the price of the computer 20% above his cost price and sells it to a retailer at a discount of 10% on the marked price. The retailer sells the computer to a consumer at the marked price. If the rate of sales tax (under VAT) is 10% at every stage, then choose the correct answer from the given four options. VAT paid by the manufacturer is<br/>

Question 18 :
A person buys the following items from a departmental store : stationery of worth ₹1600.00, cosmetics of worth ₹1000.00, beverages of worth ₹1400.00, electronic goods of worth ₹700.00. If sales tax is charged at the rate of 10.00% on stationery, 4.00% on cosmetics, 7.00% on beverages, 8.00% on electronic goods, find the total amount to be paid.

Question 19 :
If face value = ₹20.00, market value = ₹40.00, dividend = 7.00%, no of shares bought = 40, premium =

Question 20 :
If market value = ₹145.00, no of shares = 90, premium = ₹15.00, annual income = ₹234.00, annual rate of return =