ARITHMETIC PRACTICE TEST

To find questions from 1 to 7, please visit the page "Math Practice Worksheets For SAT in Arithmetic"

To find questions from 8 to 12, please visit the page "Arithmetic Practice Questions For SAT"

Question 13 :

A bag contains 8 white, 4 red, 7 green and 5 blue marbles. Then 8 marbles are withdrawn randomly. How many of the withdrawn marbles were white if the chance of drawing a white marble is now 1/4 ?

(A)  0  (B)  3  (C)  4    (D)  5  (E)  6

Solution :

Total number of marbles  =  8 + 4 + 7 + 5

  =  24

After drawing 8 marbles, we will have 16.

Chances of getting white marble  =  1/4

Inorder to make the denominator 16, we have to multiply both numerator and denominator by 4.

=  (1/4)⋅(4/4)

  =  4/16

  =  Number of white marbles / Total number of marbles

Hence the number of white marble is 4.

Question 14 :

 √1500  =  

(A)  10 + √15   (B)  10√15   (C)  25

(D)  100 + √15  (E)  10√150

Solution :

In order to simplify √1500, let decompose 1500 using prime factorization.

√1500  =  √(5 ⋅ 5 ⋅ 5 ⋅ 3 ⋅ 2 ⋅ 2)

  =  5 ⋅ 2√(5 ⋅ 3)

  =  10 √15

Hence the answer is 10 √15.

Question 15 :

2(3⋅2)² - 27 (6 ÷ 2) + 3²  =  

(A)  72  (B)  9  (C)  3  (D)  0  (E)  -24

Solution :

  =  2(3⋅2)² - 27 (6 ÷ 2) + 3²

Perform the simplification in parenthesis. 

  =  2(6)² - 27 (3) + 3²

  =  2(36) - 81 + 9

  =  72 - 81 + 9

  =  81 - 81

  =  0

Hence the answer is 0.

Related pages

• Arithmetic Quiz Questions
• Arithmetic Practice Quiz

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