Revision for II Unit Test [50 mks]

  1. If a sum of money becomes 915 Rs in 8 yrs at p.a. S.I, find the sum of money. [Ans: 750 Rs]
  1. Simplify [Ans: ]
  1. Solve 3x + 7(x - 2) = 3 - 4(x + 6) [Ans : -1/2]
  1. The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 4 and denominator decreased by 8, the rational number is .Find the original number. [ans : 4/11]
  1. Solve [ans: y=1]
  1. A man invested Rs. 8000 at C.I for 2 years . calculate the interest for the first year if the rate of interest for the first year is 8% and also calculate the interest for the second year if the rate of interest for the second year is 9%. [Ans : 1st year Interest = 640 Rs, 2nd year interest = 777.60 Rs]
  1. Find the HCF and LCM of 3x² + 6x , x²+5x +6 , 2x²+8x+8 [Ans : (x+2) ; 6x(x+2)²(x+3)]
  1. Factorise 5(x+2)² +6(x+2) +1 [Ans : (x+3) (5x+11) ]
  1. The ages of A and B are in the ratio 9 :4. Seven years hence, the ration of their ages will be 5 : 3. Find their present ages. [18, 8 yrs]
  1. Solve (x - 2) (x+3) = x² - 4 [Ans:x=2]
  1. The sum of 3 consecutive odd numbers is 45. Find the numbers.
  1. Factorise a⁴ - (a² - 3b²)² [Ans : 3b²(2a² - 3b²) ]
  1. Rs.2400 becomes Rs 2976 in 3 years at a certain rate of simple interest. What sum of money will become Rs 5016 in 4 years at the same rate of interest. [Ans P = Rs 3800]
  1. The sum of the digits of a two digit number is 9. If the digits are reversed , the number is increased by 45. Find the original number. [Ans : 27]
  1. A certain sum amounts to Rs 3825 in 4 years and to Rs 4050 in 6 years, find the rate percent and the sum. [Ans : 3 , Rs 3375]
  1. Simplify [Ans : 11]
  2. 10 years ago , a man was 6 times as old as his daughter. After 10 years , he will be twice as old as his daughter. Find their present ages. [Ans : man = 40yrs, daughter = 15yrs]
  1. Solve [Ans : ]
  1. Show that (3a - 5b)² - (3a +5b)² + 60ab =0
  1. Divide Rs380 between A,B and C so that B may have 30 Rs more than A and C may have 20 Rs more than B. find the amount each receives. [A=100, B=130, C= 150]
  1. A ladder 15m long reaches a window which is 9m above the ground on one side of the street, keeping its foot at the same point , the ladder is turned to the other side of the street to reach a window 12m high. Find the width of the road. [ans : 9 +12 = 21]
  1. Two poles 18m and 13m high stand upright on a ground.if their feet are 12m apart , find the distance between their tops.
  1. The ages of Sona and sonali are in the ratio 5:3.Five years hence, the ratio of their ages will be 10:7. Find their present ages. [ans: 15yrs, 9yrs]
  1. A man walks from his house to his daughter’s school at a speed of 3km/hr and returns at a speed of 4km/hr. If he takes 21 minutes for the total journey, find the distance between his house and the school. [ans :0.6km]
  1. The ten’s digit of a two digit number is 3 times the units digit.when the digits are reversed we get 36 less than the number.find the original number.[ans:62]
  1. The difference between the squares of 2 consecutive numbers is 101. Find the numbers. [ans : 50,51]
  1. A sum of money invested at the rate 8% p.a for a certain period of time yields Rs480 as interest. If the period of investment were 3 yrs more, the interest would have been Rs 1200.find the sum of money. [ans: Rs3000]
  1. Calculate the compound interest on Rs18000 for 3 yrs at 5% p.a [ans:Rs 2837.25]

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