**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

(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

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