ARITHMETIC PRACTICE TEST
About "Arithmetic Practice Test"
Arithmetic Practice Test :
Here we are going to see some practice questions of the math topic "Arithmetic".
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"
Arithmetic Practice Test - Practice questions
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 Then 8 marbles are withdrawn randomly. How many of the withdrawn marbles were white if the chance of drawing a white marble is now 1/4 ?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.
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Converting customary units word problems
Converting metric units word problems
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Word problems on compound interest
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OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
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L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
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Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
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