Maths Linear Equation, shares and divident Worksheet

Question 1. If Rs 200 shares of a company are quoted at Rs 300, find the number of shares bought for Rs 25200.

Question 2. A company with 20,000 shares of Rs 80 each declares an annual dividend of 6%. Find the total amount of dividend paid by the company.

Question 3.  The graphical solution of -1 < x < 2 on number line is

Question 4.  The hypotenuse of a right-angled triangle exceeds one side by 2 cm and the other side by 16cm; find the length of the hypotenuse of the triangle.

Question 5. Find two natural numbers whose sum is 10 and differences of whose squares is 40.

Question 6. Find the value of 'a' such that (x-1) is the factor of x² + ax +9.

Question 7.  If the equation px² – 6x – 2 = 0 has real roots then, ________

Question 8. A two digit number contains the smaller of the two digits in the ten’s place. The product of the digits is 12 and the sum of the digits is 7. Find the number.

Question 9. The factors of the polynomial  4 ²+ 12+ 9 are

Question 10. The solutions of the equation: x² + 2x - 143 = 0

Question.11. If the interest is compounded half yearly, calculate the amount when the Principal is Rs7,400, the rate of interest is 5% per annum and the duration is one year. (Rs7774.63)

Question 12.Anuj deposited Rs 80 per month in a recurring deposit account for 1 year at the rate of 10% p.a. Find the amount he will get on maturity.

Question 13. Manju holds 100 shares of face value of Rs 20 each. The company declares a dividend of 20%. Find her income.