FREE ACT MATH PROBLEMS

(1)  If x = -2 and y = 3 then find the value of |2x - 3y|

(2)  Simplify the following (8+5) x (35/5) + 6

(3)  Fill in the blank with any least suitable digit.

54 _562. This number is divisible by 3.

(4) The weight of an empty bottle is 128.4 gram. It contains a syrup. The weight of the syrup is 156.8 gram. What is the weight of 24 bottles of syrup?

Solutions for 1 to 4

(5)  Factorize

4(a+b)² - 9

(6)  Find the median of the data

78, 56, 22, 34, 45, 54, 39, 68, 54, 84.

(7)  A person earns $ 2,400 per month. He saves 15% of his salary. How much does he save?

(8)  Find the slope of line 3x + 2y - 12  =  0.

Solution for 5 to 8

(9)  In a cricket team of 11 players, the average age of 4 players is 17, the average of 3 players is 18 and the average of 2 players is 19. The average age of the whole team is 18. One of the players is aged 22. Find the age of the last player.

(10) A fruit merchant bought 1200 mangoes for $1000.300 fruits went bad. He sold fruits at $18 per dozen, and the bad fruits at $9 per dozen. Find his total gain or loss per cent in the transaction.

Scroll down for solution

Question 9 :

In a cricket team of 11 players, the average age of 4 players is 17, the average of 3 players is 18 and the average of 2 players is 19. The average age of the whole team is 18. One of the players is aged 22. Find the age of the last player.

Solution :

Average of 11 players  =  18 years

Total age of 11 players  =  18 x 11

=  198

Average of 4 players  =  17 years

Total age of 4 players  =  4 x 17

=  68

Average of 3 players  =  18 years

Total age of 3 players  =  3 x 18

=  54

Average of 2 players  =  19 years

Total age of 2 players  =  2 x 19

=  38

Age of another player  =  22 years

Total age of 10 players  =  68 + 54 + 38 + 22

=  182 years

Age of last player  =  198 - 182

=  16 years

Therefore the required age  =  16 years.

Question 10 :

A fruit merchant bought 1200 mangoes for $1000.300 fruits went bad. He sold fruits at $18 per dozen, and the bad fruits at $9 per dozen. Find his total gain or loss per cent in the transaction.

Solution :

Cost price of the mangoes  =  $1000

Number of good fruits  =  900

Number of dozens of good fruit  =  900/12

=  75 dozens

Selling price of 1 dozen  =  $18

Selling price of 75 dozens  =  75 x 18

=  1350

Number of bad fruits  =  300

Number of dozens of bad fruits  =  300/12

=  25 

Selling price of 1 dozen bad fruit  =  $9

Selling price of 25 dozens of bad fruits  =  9 x 25

=  $225

Total selling price  =  1350 + 225

=  $1575

Profit  =  Selling price - Cost price 

=  1575 - 1000

=  $575

Profit percent  =  (profit amount/cost price)   x 100

=  (575/1000) x 100

=  57.5 %

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.