(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) x^{2} + y^{2}

(2)

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

(A) y^{2}/x^{2 }(B) (x + y)^{2}/y^{2 }(C) x^{2}/(y^{2}-x^{2})

(D) (y^{2}-x^{2})/y^{2 }(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 (a^{2} + 2ab + b^{2})/(a + b)^{3} ?

(A) a + b (B) a^{2} + b^{2} (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 = πr^{2} 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^{x }⋅ 7^{y}, 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, x^{2}/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

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 4**

**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**

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