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) ?