About "SHSAT Practice Test Online"

SHSAT Practice Test Online :

Here we are going to see some practice questions for SHSAT exams.

SHSAT Practice Test Online - Practice questions

Question 11 :

(60 ⋅ 30) / (60 + 30)  =  

Solution :

  =  (60 ⋅ 30) / (60 + 30)

  =  (60 ⋅ 30) / 90

  =  (2 ⋅ 30) / 3

  =  2 ⋅ 10

  =  20

Hence the answer is 20.

Question 12 :

Which of the following is closest in value to 0.213 ?

Solution :

The decimal value of 1/5 is 0.2, which is closest to 0.213.

Question 13 :

In a triangle ABC, CD bisects angle ACB. Compute the value of x + y, in degrees.

Solution :

In triangle ACD,

<CAD + <ADC + <ACD  =  180 ---(1)

Since CD bisects the angle <ACB,  

<ACD  =  y

x + 70 + y  =  180

x + y  =  180 - 70

x + y  =  110

Hence the answer is 110.

Question 14 :

The consecutive odd primes, such as 11 and 13 are, are called a pair of "twin primes". How many pairs of twin primes are there between 15 and 45.

Solution :

17 and 19  -  Twin primes

29 and 31  -  Twin primes

41 and 43  -  Twin primes

Hence there are 3 twin primes lies between 15 and 45.

(A)  2  (B)  3  (C)  4  (D)  5  (E)  7

Question 15 :

For any number x, the symbol ⌈x⌉ means the smallest integer that is greater than or equal to x. For examples ⌈3.2 is 4. what is  156.3

Solution :

⌈3.2⌉  =  4

156.3  =  12.51⌉  =  13

Hence the answer is 13.

Question 16 :

Eight years from now, Oana will be twice as old as her brother is now. Oana is now 12 years old. How old is her brother now ?

Solution :

Let "x" be Oana's brother's present age 

After 8 years :

Oana's age + 8  =  2x

12 + 8  =  2x 

2x  =  20 

x  =  20/2  =  10 years

Question 17 :

Suppose a snail crawls 2/5 inch per second. At this rate, what is the total number of inches the snail crawls in 2 minutes ?

Solution :

2 minutes  =  120 seconds

Number of inches the snail crawls  =  120 (2/5)

  =  24 (2)

  =  48 inches

Question 18 :

The straight line graph shows the relationship between the number of tickets sold and amount of money in the cash register if the register contained $150 before any tickets were sold. What is the price of 1 ticket.

x axis = no of tickets sold, y axis in cash register

Solution :

Cost of 1 ticket  =  "x"

30 x  =  600

 x  = 600/30

x  = 20

Question 19 :

If 15 - 2x <7, then for all possible values of x that make the inequality true.

Solution :

15 - 2x <7

Subtract 15 on both sides

-2x < 7 - 15

-2x < -8

Divide both sides by -2.

x > 4 (Since we divide by negative sign, the inequality sign will get changed).

Question 20 :

Four congruent circles are enclosed in a square as shown. The perimeter of the square is 64. What is the circumference of one of the circles (in terms of π)

Solution :

Perimeter of square  =  64

4a  =  64

a  =  64/4  =  16

Diameter of two circles  =  16

Diameter of one circle  =  8

radius of circle  =  4

Area of 4 circles  =  πr2

 =  π(4)2

=  16π

Hence the area of 4 circles is 16π.

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