**SHSAT Practice Test Online :**

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

**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 = πr^{2}

= π(4)^{2}

= 16π

Hence the area of 4 circles is 16π.

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