PSAT PRACTICE MATH WORKSHEET 8

(1)  The perimeter of a square is four times the circumference of a circle with radius of 1 m. What is the area of the square ?

(A)  4π  (B)  8π  (C)  4π²  (D)  8π²  (E)  16π²

(2)  

(A)  24  (B)  66  (C)  67  (D)  68  (E)  1120

(3)  Convert 3/40 to a decimal.

(A)  0.0075  (B)  0.075  (C)  0.06  (D)  0.75  (E)  7.5

(4)  For what value of q is 6(q + 3)  =  2(q + 4) ?

(A)  -1/2  (B)  -4/9  (C)  -5/2  (D)  -3  (E)  -2/5

(5)  

What is angle x of the circle O?

(A)  45 degree  (B)  60 degree (C)  75 degree 

(D)  150  degree  (E)  90 degree

(6) For how many values of x is -3x²/4 > 0 ?

(A)  0  (B)  1   (C)  3  (D)  5  (E)  6

(7)  x is 40% of y and y is the square of x, which is x?

(A)  √x  (B)  0.4√x  (C)  0.4x²  (D)  x²  (E)  0.4x

(8)  If x  =  7 and 4x(3y - 2x)  =  112, what is the value of y ?

(A)  4  (B)  6  (C)  7  (D)  28  (E)  84

(9) If x ⟩ y  =  (x + y)/(x - y), what is a ⟩ (a - b) ?

(A)  2a/b  (B)  (2a - b)/2a  (C)  (2a - b)/b 

(D)  (2a - b)/2b  (E)  (a + b)/(a - 2b)

(10)  What is the value of √25 + √64?

(A)  10  (B)  13  (C)  14  (D)  89  (E)  100

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

(A)  5  (B)  10  (C)  25  (D)  50  (E)  100

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

(A)  4  (B)  8  (C)  12  (D)  16  (E)  24

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

(A)  0.81  (B)  0.9  (C)  8.1  (D)  9  (E)  10

(14)  What is the range of the set {1, 2, 5, 10, 6, 12} ?

(A)  -16  (B)  -11  (C)  3  (D)  11  (E)  22

(15)  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  (B)  p²/8  (C)  p²/4  (D)  p²/16  (E)  4p

(16)  Anayet is driving to work from home and realizes he left his wallet at home when he is at 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 minutes 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  (E)  0.5

(17)  Given that a vector  =  a² + a, what is a vector ÷ a ?

(A)  a  (B)  a + 2  (C)  1  (D)  a + 1  (E)  2a

(18)  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

(19)  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

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

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