Basic Mathematics Problem

Additional Practice Problems

Set 1:

1. Evaluate the following:

1235 a) 625  2.05 49

 0.81 0.64       b) 0.49  3.875   900  c) (16 2  23 )(5  4)

2. Simplify the following:

 5 3   7 3   4   4  a)  x   x   7  10  2 3  0  b) 3 (5) 3   

3. Factor the following: a) x 2  x  56 b) 25x 2  64

3 7 9 a) 33  5  8 2 3 10 5 b) An Investor bought 35 shares of stock at a price of $81 a share. 10 i. What was the cost of the stock? 2 ii. If this represents of the total amount of investment, find the total amount of investment. 5 c) Complete the following blanks with correct answers:

Decimal Fraction Percent 0.2

35% d) If Microsoft’s stock price is increased from $130 to $205 per share due to a new technological break through, find out the percent increase in share price.

Set 2:

72 a) 723  0.0013 64

 0.18  .02 0.10  .01       b) 0.9  2.075   144 

83 c) (252   )(17  23 ) 625

2 1 a) 3 y 3 (25y 2 ) 0 b) 33 0.22 

3 Factor the Following: a) 3x 2  5x 12 b) 79 x 3 - 36x

1 3 a) 33 + 60 3 5 b) An investor bought $9450 worth of share at a price of $ 10 each. i. How many shares of stock did he buy? ii. If his total investment is $1000,000, find out what fraction is his / her new purchase represents of total investment? c) Complete the following:

Decimal Fraction Percent 0.12 17%

5 7 d) Because of violation of Antitrust law Microsoft share price dropped from $203 a share to $175 a share. Find out percent decrease in share price?

Set 3:

 81  3 2 a) 945  0.10  0.02   4  8   9  25 2  625 b) 4.5  3.5  2  53

3 5 5 10 c) ( (18  )(2  ) 33 2 4

5 0 3 x a) (2 x )( 5 ) x 3 0 b) 23  33  35

3. Factor the following: a) x 3 15x 2 + 56x b) x 4  81

1 1 2 a) 17  3  5 3 18 7 b) Ford Motor manufactured 125 cars at a cost of $10,000 a car.

i. What was the cost of producing 125 cars. ii. If that represents 7% of total cost, find out the total cost. c) Complete the following:

Decimal Fraction Percent 0.65 18%

7 9 d) Because of merger with Citicorp, Travelers Groups share price increased by 20% to $250 a share. Find out the initial (Prior to merger) Stock price of travelers group?