# PSAT PRACTICE MATH WORKSHEET 7

PSAT Practice Math Worksheet 7 :

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 7

(1)  It takes George 3 minutes to read 300 words. If each page in a book that he is reading has 750 words, how long will it take George to read 6 pages ?

(A)  30 minutes  (B)  45 minutes  (C)  60 minutes

(D)  90 minutes  (E)  250 minutes

(2)  [(1/2) - (3/4)]2 + (5/10)  =

(A)  9/16  (B)  1/2  (C)  1/16  (D)  3/4  (E)  1/4

(3)  If x = 25 ⋅ 3⋅ 7, then what is the value of x ?

(A)  1150  (B)  2000  (C)  2015  (D)  2016  (E)  3050

(4)  A right cylindrical can is being filled with water. At 1 P.M, it is half full. At 2 P.M, it is 3/4th full. At this rate, when was it empty ?

(A)  11 : 00 A.M  (B)  11 : 30 A.M  (C)  12 : 00 P.M

(D)  12 : 30 P.M  (E)  3 : 00  P.M

(5)  If x8  =  (22) 4, what is x2 ?

(A)  2  (B)  4  (C)  8  (D)  64  (E)  128

(6)  James has a work to finish. He finishes 1/8 of the total work on the first day. What fraction of the work is left ?

(A)  1/8  (B)  3/8  (C)  7/8  (D)  3/4  (E)  1/4

(7) There are two different pathways connecting 1 and and 2. How many fewer steps is the solid line path than the dotted line path. (A step is defined as a line segment connecting 2 circles)

(A)  -4  (B)  -1  (C)  1  (D)  4  (E)  7

(8)  Jackie and Jesse each solve the same problem in a different way

Problem √(a + b)  =  ?

Jackie's way  =  √(a + b)  =  √a + √b

Jesse's way : √(a + b)  =  √(a+b)

If a = 9 and b = 25, how much bigger is Jakie's way than Jesse's way ?

(A)  -2  (B)  0  (C)  2  (D)  √36  (E)  8 - √34

(9)  If  θ { a, b, c, d, e, f, g, h, i }  =  [ab - cd + (ef)2 (gh)2]/i

Which cannot be value of θ ?

(A)  θ (0, 0, 0, 0, 0, 0, 0, 0, 1)

(B)  θ (1, 1, 1, 1, 1, 1, 1, 1, 0)

(C)  θ (2, 2, 2, 2, 2, 2, 2, 2, 10)

(D)  θ (2,3, 1, 4, 5, 6, 7, 0, 10)

(E)  0

(10)  If James grows by 20 inches every day starting Monday. What is the difference in his height between Wednesday and Monday ?

(A)  0 inches  (B)  20 inches  (C)  30 inches

(D)  40 inches  (E) 60 inches

(11)  Evaluate ([1/2)-(3/4)] ÷ (1/2)  =

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

(12) Line q intersects the parallel lines p and l. What is y3/3 ?

(A)  x4/3  (B)  x6  (C)  x9  (D)  x4/9  (E)  x6/3

(13)   Given the arithmetic sequence x, y, 30, z, f then find the value of x + y + z + f

(A)  60  (B)  80  (C)  120  (D)  130  (E)  140

(14)  If (-1)2  =  1, then the value (-1) 2023 is

(A)  -2023  (B)  -1  (C)  0  (D)  1  (E)  2023

(15)  Caroline has two times as many marbles as Jake. Jake has 12 less than 7 times as many marbles James has. James has 14 marbles. How many marbles dies Caroline have ?

(A)  52  (B)  54  (C)  86  (D)  98  (E)  172

(16)  John is trying to escape a ditch. Every time he jumps 10 meters, he falls back 5 meters right after. The ditch is 19 meters long. What is the minimum number of jumps he needs to make to escape ?

(A) 3  (B) 4  (C) 5  (D) 7  (E) 8

(17)  What is the largest number of digits that the product of  3 digit and 2 digit number has ?

(A)  4  digit  (B)  5 digit  (C)  6 digit

(D)  7 digit  (E)  8 digit

(18)  If Fn  =  2 Fn-1 + 3 Fn-2, then what is F3 if F =  F2  =  1 ?

(A)  2  (B)  3  (C)  4  (D)  5  (E)  10

(19)  Sam walks 3m to the west, then 4m south, then 4 m North. How far is he from his original location ?

(A)  3 m (B)  5 m (C)  7 m  (D)  8 m  (E)  12 m

(20)  If a =  3 and b = 5, what is the value of 9a/(b-a) ?

(A)  9  (B)  27  (C)  13/5  (D)  27/2  (E)  26/5 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 our 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 