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)  After a 10% increase, a population was 55. What was the population before the increase ?

(A)  54.45  (B)  55.45  (C)  50  (D)  56  (E)  10

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)  If the pattern continues, what will be the 50^th symbol ?

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

(21)  DCB is a right triangle, and Point A lies on the line segment GD. If AC = BC = 2, and BD = 4, find AD

a)  10     b)  2√3     c)  2√3 - 2     d)  √3 + 2

Solution

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