SHSAT PRACTICE TEST

(1)  Find the next term in the series :

0, 1, 1, 2, 4, 7, 13, 24,.......

(A)  28  (B)  37  (C)  44  (D)  48  (E)  81

Solution

(2)  Which is true about A and B ?

A = √65 - 9

B = √50 - 8

(A)  A = B   (B)  A > B  (C)  A > 1  (D)  B > A  (E)  A + B > 0

Solution

(3)  Which is the solution of the following equation ?

(x² + x - 6)/(x - 2)  =  0

(A)  -2  (B)  -3  (C)  0  (D)  2  (E)  3

Solution

(4)  John is stacking boxes directly upon each other. He stacks as 1 box per minute initially and every minute after that, his staking rate increases by 1 box per minute. If each box is 5 inches tall, in how many minutes will the stack be 30 inches tall.

(A)  2 min  (B)  3 min  (C)  5 min  (D)  6 min  (E)  30 min

Solution

(5)  A Dilob has a mass of 20.2 milligrams. What is the Dilob's mass in grams.

(A)  0.0202 g  (B)  0.202 g  (C)  2.02 g 

(D)  20.2 g  (E)  202 g

Solution

(6) Jesse goes to store. He buys a magazine for $8. The he sells it for $10 and buys it back again for $11. He finally sells it for $12. What was his profit ?

(A)  -$1    (B)  $0  (C)  $2  (D)  $3  (E)  $5

Solution

(7)  If f(x)  =  2f(y) and x = 2y, what is a possible value of f ?

(A)  x  (B)  x²  (C)  2x²  (D)  √x  (E)  0

Solution

(8)  A substance's length doubles every hour. At 2 PM it was 3 meters. What was the length at 12 PM that same day?

(A)  0.375 meters  (B)  0.5 meters  (C)  0.75 meters

(D)  1 meter  (E)  1.5 meters

Solution

(9)  Which is true of these three functions ?

f  =  x ^{x^4}, g  =  (x^x)⁴, h  =  x ^{4^x}

(A)  f = g = h  (B)  f = g  (C)  h = g 

(D)  f  =  g + h  (E)  f ≠  g

Solution

(10)  Linda scored  66, 82, 81 and 92 on her English exams. What score must Linda obtain on the next math test, to have an average of exactly 84 ?

(A)  84  (B)  87  (C)  95  (D)  99  (E)  100

Solution

(11)  If today is Saturday, what day of the week will it be in 365 days from now?

(A)  Monday  (B)  Tuesday  (C)  Thursday 

(D)  Friday   (E)  Sunday

Solution

(12)  What is the remainder of 7, 700, 000, 000, 202 divided by 9 ?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  8

Solution

(13)

In the figure above AB  =  BC  =  DE  =  EF  and the side of the square is 12. Point B and E are the midpoints of the square. Find the area of the shaded region.

(A)  12π (B)  24π  (C)  36π  (D)  72π  (E)  144π

Solution

(14)  8 ^{x + 3}  =  64 ^3x, what is the value of x?

(A)  1/2  (B)  3/5  (C)  5/3  (D)  2  (E)  3

Solution

(15)  If A ⊏ ⊐ B  =  AB (A/B) - 2³, then what is the value of 3 ⊏ ⊐ (6 ⊏ ⊐ 2)

(A)  1   (B)  3   (C)  5   (D)  2   (E)  7

Solution

(16)  If the average of 11 numbers is 15, then what is the sum of these 11 numbers ?

(A)  324   (B)  350   (C)  155   (D)  165   (E)  174

Solution

(17)  What is the average of (9b - 7) + (7 - 3b) - (-3 -3b) + (6 + 3b)

(A)   3b + 9/4   (B)   9b/4 + 3   (C)  3b + 2

(D)  2b + 3  (E)  3b + (4/9)

Solution

(18)  y^-1⋅y³⋅y⁴⋅y⁵⋅y⁶/y⁶⋅y⁵⋅y⁴

(A)   y²  (B)   y¹  (C)  1  (D)   y⁵   (E)   y^-3

Solution

(19)

Solution

(20)  A trapezoid has base length in the ratio of 2 : 6. If the area of a trapezoid is 260 and altitude is 5, then what is the length of longer side ?

(A)  13  (B)  20  (C)  26  (D)  65  (E)  78

Solution