# PSAT MATH TEST PREP

(1)  What is the value of √25 + √64 ?

(A)  10     (B)  13    (C)  14    (D)  89

Solution

(2)  What is the value of r in the equation 2r  =  102 ?

(A)  10     (B)  25    (C)  50    (D)  100

Solution

(3)  What is the area of a square with a perimeter of 16 ?

(A)  8     (B)  12    (C)  16    (D)  24

(4)  What is 10% of a number whose square is 81 ?

(A)  0.81     (B)  0.9    (C)  8.1    (D)  9

(5)  What is the range of the values given below ?

2, 5, 7, 12, 9, 11, 1, 10

(A)  -16     (B)  -11    (C)  3    (D)  11

(6)  Nancy found a formula for the area of a square in terms of its perimeter. Let A stand for the area and P for perimeter. What is the formula Nancy found ?

(A)  p2/8     (B)  p2/4    (C)  p2/16    (D)  4P

(7)  Anayet is driving to work from home and realizes he left his wallet at home when he is at his workplace. He turns back to retrieve his wallet. His workplace and home are 45 miles apart and it takes him twice as long to get to workplace from his home than the other way around. It is a 30 minute drive from his workplace to home. What is the average speed for the round trip in miles per minute ?

(A)  0.75     (B)  1.5    (C)  1    (D)  2

(8)  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

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

(A)  8     (B)  12     (C)  15    (D)  17

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

(A)  0     (B)  1     (C)  2    (D)  33

(11)  The prime factors of 232 are ?

(A)  2, 2, 2, 29     (B)  116, 2     (C)  2, 29    (D)  2, 2, 58

(12)  Find the value of t if t/32  =  x/p

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

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

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

Solution

(14)  Sarah has a trick coin that has heads on both sides. She asks he friend John, who believes the coin is fair, to guess what face it will land on. If they flip the coin 100 times, how many times bigger is Sarah's expected probability of the coin landing on heads than John's expected probability of the coin landing on heads ?

(A)  0.25  (B)  0.5  (C)  1  (D)  2  (E)  4

(15)  What is the square of a number that when added to any number does not change that number's value ?

(A)  0  (B)  0.5  (C)  1  (D)  4  (E)  undefined

(16)  How many non zero numbers are between 3 and 5 ?

(A)  0  (B)  2  (C)  8  (D)  9  (E)  undefined

(17)  What time will it  be 53 hours after 3 : 30 P.M on Thursday ?

(A)  7 : 30 A.M Saturday  (B)  8 : 30 A.M Saturday

(C)  7 : 30 P.M Saturday  (D)  8 : 30 P.M Saturday

(E)  8 : 30 P.M Sunday

(18) Samuel scored a 72, 92 and 80 on his first three exams. What is the minimum score he needs to get an average of 85 ?

(A)  85  (B)  90  (C)  93  (D)  96  (E)  100

(19)  Five out of marbles in a bag are red. What percentage of the marbles is not red ?

(A)  50%  (B)  55%  (C)  60%  (D)  75%  (E)  80%

(20)    √81 √25 + √16  =

(A)  5  (B)  40  (C)  49  (D)  56  (E)  64 If you would like to have more questions on PSAT math, please click on the links given below.

PSAT online practice test math - Paper 1

PSAT online practice test math - Paper 2

PSAT online practice test math - Paper 3

PSAT online practice test math - Paper 5

PSAT online practice test math - Paper 6

PSAT online practice test math - Paper 7

PSAT online practice test math - Paper 8

PSAT online practice test math - Paper 9

PSAT online practice test math - Paper 10

Apart from the stuff given above 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

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

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

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

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 