SAT Mathematics Level 2 Practice Test WITH WELL EXPLAINED SOLUTIONS

SAT Mathematics Level 2
­Practice Test

There are 50 questions on this test. You have 1 hour (60 minutes) to
complete it.

1. The measures of the angles of �QRS are m∠Q = 2x + 4, m∠R =
4x − 12, and m∠S = 3x + 8. QR = y + 9, RS = 2y − 7, and QS = 3y − 13.
The perimeter of �QRS is
(A) 11   (B) 20   (C) 44   (D) 55   (E) 68


2. Given g(x) = 3x + 2 , g c - 3 m =
5x - 1 4

–1 ​   (B) ​ __
(A) ​ ___ 1 ​   (C) ​ ___
1  ​   (D) ​ ___ 1 ​
7  ​   (E) ​ __
2 9 11 16 2


3.
3
81x 7 y10 =
(A) 9 x 3 y 5 3 x    (B) 9x 2 y 3 3 xy   (C) 3x 2 y 3 3 9xy
(D) 3x 2 y 3 3 3xy (E) 3 x 3 y 5 3 x

,2 SAT Math 1 & 2 Subject teSt

y
10

K


G


1 x
–6 1 6

H

–6




4. The vertices of �GHK above have coordinates G(–3,4), H(1,–3),
____
and K(2,7). The equation of the altitude to ​HK​ is
(A) 10x + y = –26   (B) 10x + y = 7   (C) 10x + y = 27
(D) x + 10y = 37   (E) x + 10y = 72




5. When the figure above is spun around its vertical axis, the total sur-
face area of the solid formed will be
(A) 144π   (B) 108π   (C) 72π   (D) 36π   (E) 9π + 12

6. If f(x) = 4x2 − 1 and g(x) = 8x + 7, g  f(2) =
(A) 15   (B) 23   (C) 127   (D) 345   (E) 2115

p
7. If p and q are positive integers with pq = 36, then cannot be
q
1 4
(A)    (B)    (C) 1   (D) 2   (E) 9
4 9

, SAT MATHEMATICS LEVEL 2 ­PRACTICE TEST 3

2 1
+
8. 3 x−4 =
2
1−
3x − 12

2x 2x − 8 2x − 8
(A)    (B)    (C)
3x − 2 3x − 2 3x − 12

2x − 7 2x − 5
(D)    (E)
3x − 12 3x − 14



If ` 1 j = ^3 625 h and if a and b do not equal 0, a =
2
a +4ab 2
3a -10ab
9.
125 b

4 76 76
(A)    (B) 2   (C)    (D) 4   (E)
21 21 3




___
10. In isosceles KHJ, ​HJ​ = 8, NL ⊥ HJ , and MP ⊥ HJ . If K is
10 cm from base HJ and KL = .4KH, the area of LNH is
(A) 4   (B) 4.8   (C) 6   (D) 7.2   (E) 16