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 Then 8 marbles are withdrawn randomly. How many of the withdrawn marbles were white if the chance of drawing a white marble is now 1/4 ?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.
Related pages
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
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
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6
