# PSAT PRACTICE MATH WORKSHEET 9

PSAT Practice Math Worksheet 9 :

Worksheet given in this section will be much useful for the students who are preparing for PSAT.

Students can practice the math questions given here and they can improve their sills to score better in PSAT.

## PSAT Practice Math Worksheet 9

(1)  The circle that is inscribed in the square below has a radius of 2. What is the length of diagonal of the square ? (A)  2  (B)  4  (C)  16  (D)  4√2  (E)  2√2

(2)  What is the absolute value of the difference between the number of integers between 0 and 5 inclusive and the number of integers between 1 and 6 exclusive ?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  5

(3)  Corey is walking on a path. Every three steps he take, he makes a 30 degree rotation to counterclockwise, if he took 18 steps in total, how many full revolutions was he able to make altogether ?

(A)  0.25  (B)  0.5  (C)  1  (D)  2  (E)  5

(4)  What is 20% of 20% of 20 ?

(A)  0.2  (B)  0.8  (C)  2  (D)  8  (E)  8000.

(5)  What is the difference between the largest and lowest integer in the sequence of consecutive odd integers whose sum is 15 ?

(A)  2  (B)  4  (C)  5  (D)  9  (E)  12

(6)  The half life of a substance is the time it takes for a substance to decrease to half its initial amount. If John initially had 100 pounds of goo and ten days later, he only had 25 pounds of goo, what is the half life of the goo ?

(A)  10 days  (B)  5 days   (C)  7.5 days

(D)  20 days   (E)  25 days

(7)  What is the value of (94 - 84)/(92 + 82) ?

(A)  1  (B)  16  (C)  17  (D)  18  (E)  155

(8)  Jack fills a jug with water continuously. It takes him 2 minutes to fill up 50% of the empty space in the jug with water. After every 2 minutes, he puts a penny into a jar to celebrate. How many pennies will he have in the jar at the instant the jug has less tan 30% empty space left ?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  4

(9) In the figure above, there are two balance beams that have triangles, circles and squares on them. Both beams are fully balanced. How many circles are needed to balance 70 squares ?

(A)  10  (B)  12  (C)  35  (D)  70  (E)  140

(10)  0.7 bar + (2/9)  = 0.6 bar + ____

(A)  1/2  (B)  1/3  (C)  2/9  (D)  4/9  (E) 1

(11)  The distinct prime factors of 232 are

(A)  2, 2, 2, 29  (B)  116, 2  (C)  2, 29

(D)  2, 2, 58  (E)  2, 58

(12)  If the pattern continues, what will be the 438th symbol ? (13)  Find the value of t.

t/32  =  x/p

(A)  32p/x (B)  xp/32  (C)  32/px  (D)  32x/p  (E)  32px

(14)  What is the largest integer greater than 52/3 ?

(A)  16   (B)  17  (C)  18  (D)  19  (E)  20

(15)  If 55 + 55 + 55 + 55 + 5=  5a + 1, what is a ?

(A)  3  (B)  4  (C)  5  (D)  6  (E)  7

(16)  If (x + y)2  =  x2 + y2, then what condition must be true?

(A)  x  =  y  =  0  (B)  x + y  =  0  (C)  2x  =  0

(D)  2y  =  0  (E)  xy  =  0

(17)  What is the maximum number of points that two distinct circles intersect at ?

(A)  1  (B)  2  (C)  3  (D)  4  (E) Undefined

(18)  A cumulative product of a set {a, b, c, ............} is the sequence a, ab, abc,.............. What is the mean of the terms in cumulative product of {1, 2, 3, 0} ?

(A)  0  (B)  2  (C)  2.25  (D)  3.5  (E)  6

(19)  How many integers are in the set of non positive, non negative  integers?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  Undefined

(20)  How many chords are in the circle below ? (A)  0  (B)  1  (C)  2  (D)  3  (E)  7

We hope that the stuff given in this section would have been much useful for the students who are preparing for PSAT exam.

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

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

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Algebra word problems

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Area and perimeter word problems

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Word problems on unit price

Word problems on unit rate

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

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Complementary and supplementary angles word problems

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Trigonometry word problems

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Markup and markdown word problems

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Pythagorean theorem word problems

Percent of a number word problems

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OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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 