(1) [(2/3) + (1/4)] ÷ 2 =

(A) 22/12 (B) 1/12 (C) 11/24 (D) 1/3 (E) 12

(2) Michelle bought a dress that costs $103.00, a pair of shoes that costs $73.00 and a bag that costs $111.00. There is a 7% sales tax on all items priced at $90.00 and higher. There is no sales tax on items under $90.00. How much did Michelle spend on the following items, including tax ?

(A) $287.00 (B) 266.00 (C) 295.47

(D) 300.60 (E) $301.98

(3) How many terms are in the sequence

0, 3, 6,.............57, 60 ?

(A) 20 (B) 21 (C) 23 (D) 30 (E) 60

(4) The larger of two consecutive even integers is two times the smaller. What is their sum ?

(A) 2 (B) 3 (C) 4 (D) 6 (E) 8

(5) 3^{x} = 27 ^{a+b }and (a^{2} - b^{2}) / (a-b) = 5, what is x ?

(A) 6 (B) 9 (C) 12 (D) 15 (E) 27

(6) In Mr.Farmer's class there are 30 kids. If there are twice as many boys as there are girls in the English club, then what percentage of the English club are boys ?

(A) 33.3% (B) 10% (C) 30% (D) 20% (E) 66.6%

(7) a⊗b = a^{3}- 3a^{2}b + 3ab^{2} - b^{3 }and a ⊕b = (a-b)(a-b), what is (a⊗b) / (a⊕b)

(A) a^{2} + b^{2} (B) a - b (C) a^{2} + 3b^{2} + 3ab

(D) a^{2} - b^{2} (E) b^{2} + 3a

(8) What is the prime factorization of 752 ?

(A) 2^{3 }⋅ 48 (B) 2^{3 }⋅ 49 (C) 3^{3 }⋅ 49

(D) 2^{4 }⋅ 47 (E) 3^{4 }⋅ 47

(9) If x can be any integer, what is least possible value of the expression 4x^{2} - 10 ?

(A) -10 (B) -4 (C) 4 (D) 10 (E) ∞

(10) There is a total of 5 bicycles and tricycles in a park. There are 12 wheels.How many tricycles are there ?

(A) 2 (B) 3 (C) 6 (D) 7 (E) 8

(11) What is the least possible value of (x^{2} - 1)/x if x ≥ 1 ?

(A) -1 (B) 0 (C) 3 (D) 3/4 (E) 2/3

(12) What is the maximum number of points in which a circle and triangle can intersect ?

(A) 3 (B) 5 (C) 6 (D) 8 (E) ∞

(13)

What is the area of the shaded region ?

(A) 48 - 10π (B) 64 - 22π (C) 10π

(D) 48 - 6π (E) 16π

(14) There are 45 plastic ducks in a bag. If there are black, green, blue and purple plastic ducks and 1/3 of the plastic ducks are black, 1/5 of the plastic ducks are blue, one third of the number of black plastic ducks are green, then how many purple plastic ducks are in the bag ?

(A) 6 (B) 15 (C) 16 (D) 21 (E) 39

(15)

In the figure above, point B is on the line segment DC. If AB = BC, what is the measure of the angle ABE ?

(A) 20° (B) 40° (C) 80° (D) 90° (E) 100°

(16)

According to the figure given above, what is the value of y ?

(A) 3 (B) 6 (C) 12 (D) 15 (E) 18

(17) A painter needs 4 gallons of paint to paint each room. If a house has 8 rooms in total, how many quarts of paint is he going to need ?

(A) 12 (B) 32 (C) 128 (D) 200 (E) 512

(18) A rectangle is inscribed in a circle. The rectangle is tangent at the points A, B, C and D. If the diagonal of the rectangle is 20 inches long. What is the are of the circle ?

(A) 10π (B) 15π (C) 20π (D) 100π (E) 400π

(19) The prices in the table given below show the different types of gas offered at a gas station and the prices of gas per gallon. If Emily has $50, what is the least amount of gas, in gallons, she can purchase subtracted from the greatest amount of gas, in gallons, she can purchase ?

(A) 2 gallons (B) 3 gallons (C) 5 gallons

(D) 20 gallons (E) 25 gallons

(20) 3[9 ÷ (-3)] + [-3 - (-8)] =

(A) -20 (B) -4 (C) -2 (D) 2 (E) 14

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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