**SHSAT Practice Test Online :**

In this section, we will see some practice questions for SHSAT exams.

**Question 11 :**

(60 ⋅ 30) / (60 + 30) =

(A) 2 (B) 20 (C) 200 (D) 2000 (E) None of these

**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 ?

(A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5 (E) 1/6

**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.

**(A) 45 (B) 70 (C) 80 (D) 110 (E) 135**

**Solution :**

<ADC + <CDB = 180

70 + <CDB = 180

<CDB = 180 - 70 ==> 110

In triangle CDB,

<CDB + <DBC + <BCD = 180

110 + 45 + y = 180

y = 180 - 155

y = 25

In triangle ACD,

<CAD + <ADC + <DCA = 180

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.

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

**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.

**Question 15 :**

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

(A) 11 (B) 12 (C) 13 (D) 156 (E) 157

**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 ?

(A) 2 (B) 4 (C) 6 (D) 10 (E) 16

**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

Hence the answer is 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 ?

(A) 48 (B) 30 (C) 24 (D) 5 (E) 4/5

**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

**(A) $100 (B) $20 (C) $15 (D) 12.50 (E) $10**

**Solution :**

Cost of 1 ticket = "x"

30 x = 600

x = 600/30

x = 20

Hence the price of 1 ticket is $20.

**Question 19 :**

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

(A) x < 8 (B) x > 8 (C) x > 4 (D) x < 4 (E) x > 1/4

**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, we have to flip the inequality sign).

**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)

**(A) 4π (B) 8π (C) 16π (D) 32 π (E) 64π**

**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.

**More Practice Test Papers**

SHSAT math practice test - Paper 1

SHSAT math practice test - Paper 2

SHSAT math practice test - Paper 3

SHSAT math practice test - Paper 4

SHSAT math practice test - Paper 5

SHSAT math practice test - Paper 6

SHSAT math practice test - Paper 7

SHSAT math practice test - Paper 8

SHSAT math practice test - Paper 9

SHSAT math practice test - Paper 10

SHSAT math practice test - Paper 11

After having gone through the stuff given above, we hope that the students would have understood, how to solve practice problems on SHSAT exams.

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