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

Solution

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

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

Solution

(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

Solution

(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

Solution

(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

Solution

(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

Solution

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

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

Solution

(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

Solution

(11) The prime factors of 232 are ?

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

Solution

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

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

Solution

(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

Solution

(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

Solution

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

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

Solution

(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

(E) 8 : 30 P.M Sunday

Solution