# PSAT PRACTICE MATH WORKSHEET 4

PSAT Practice Math Worksheet 4 :

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 4

(1)  If x and y are integers, which is always even ?

(A)  (x + y)/2  (B)  2(x + y)/x  (C)  x - y

(D)  2(x + y)  (E)  x2 + y2

(2) What is the probability that a point chosen will be in the shaded region. ?

(A)  y2/x2  (B)  (x + y)2/y2  (C)  x2/(y2-x2)

(D)  (y2-x2)/y2  (E)  π

(3)  If q = x + y and x = y + z, what is z in terms of y and q?

(A)  q- 2x  (B)  q - 2y  (C)  2x - q  (D) 2y + q   (E)  2q + x

(4)  What is (5 !)!/ 5! ?

(A)  1  (B)  5  (C)  120  (D)  720  (E)  None of these

(5)  What is (a2 + 2ab + b2)/(a + b)3 ?

(A)  a + b    (B)  a2 + b2    (C)  1/(a + b)

(D)  1/(a+ b)2    (E)  (a + b)2

(6)  It takes 3 cats 3 minutes to catch 3 mice. How many cats are needed to catch 99 mice in 99 minutes ?

(A)  3  (B)  6  (C)  11  (D)  33  (E)  99

(7)  The sum of seven consecutive odd integers is 749. What is the largest of the seven integers ?

(A)  99  (B)  103  (C)  11  (D)  113  (E)  115

(8)  V = πr2 h Using the formula, if r is doubled and h is divided by 2, what is the ratio of the original volume to the new volume ?

(A)  1 : 4  (B)  1 : 2  (C)  1 : 1 (D)  2 : 1  (E)  4 : 1

(9)  A yellow cab has the base fare of \$ 3.50 per ride plus \$0.20 for each 1/4 of mile ridden. If a yellow cab costs \$ 22.50, how many miles long was the ride ?

(A)  23.75 miles  (B)  42.5 miles  (C)  47.5 miles

(D)  95 miles  (E)  112.5 miles

(10)  John works 40 hours a week, and his monthly salary in June was \$ 4000. In the month July, John got 4% raise on his monthly salary. In the month of July, what was John's hourly rate ?

(A)  \$ 25  (B)  \$ 26  (C) \$ 40  (D)  \$ 100  (E)  \$104

(11)  If 8575  =  5⋅ 7y, what is x y - 5 ?

(A)  1  (B)  3  (C)  6  (D)  7  (E)  12

(12)  When d is divided by 8, the remainder is 3. What is the remainder when d + 3 is divided by 8 ?

(A)  1  (B)  3  (C)  4  (D)  6  (E)  7

(13)  Tommy is making as 6 letter password using only the letters A, B, C, D, E and F. How many different codes can Tommy make, if every letter can only be used once in each code ?

(A)  1  (B)  6  (C)  120  (D)  720  (E)  46, 656

(14)  -5 (x -3) ≥ 20 what is the solution to the inequality shown above ?

(A)  x ≥ -1  (B)  x ≥ 7  (C)  x ≤ -1  (D)  x ≤ 7  (E)  x ≥ 1

(15)  Which numbers line below shows the solution to the inequality -2 < x/3 ≤ 2 ? (16)  There are 15,000 teens whose favorite genre is comedy. How many teens have a favorite genre of action ? (A)  30  (B) 41,250  (C)  52,500

(D)  56,250  (E)  70,000

(17)  A computer originally prices at \$550.50 is on sale for 20% off. Jamie used a 5% discount coupon which was applied to the sales price. How much did Jamie pay for the computer ?(Assume there is no tax)

(A)  \$412.88  (B)  \$418.38  (C)  \$440.40

(D)  \$522.98  (E)  539.49

(18) Solve the following, x2/y, if x represents the smallest prime factor and y represents the greatest prime factor of 4760.

(A)  119/4  (B)  4/17  (C)  2/119   (D)  4/119  (E)  2/17

(19)  An adult male Diptera has a mass of 11.5 milligrams. What is the Diptera's mass in grams?

(A)  0.0115 g  (B)  0.115 g  (C)  1.15 g

(D)  11.5 g  (E)  115 g

(20)  Michel has a project due in exactly 83 hours. It is currently 8 : 30 on Monday morning. What time is his project due ?

(A)  6:30 PM Friday  (B)  7:30 PM Friday

(C)  7:30 AM Thursday

(D)  7:30 PM Thursday  (E)  9:30 PM Thursday 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 