**SHSAT Practice Questions With Answers :**

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

**Question 1 :**

For how many values of x is the function is not equal to 1 ?

f(x) = (x - 3)/(x - 3)

(A) 0 (B) 1 (C) 2 (D) 3 (E)

**Solution :**

Since the numerator and denominator are same, we always get the value 1 for f(x).

So, the answer is infinitely many.

**Question 2 :**

If today is Monday, what day will it be in 49^{2} from now ?

(A) Tuesday (B) Wednesday (C) Thursday

(D) Monday (E) Sunday

**Solution :**

First let us find the value of 49^{2}

49^{2 }= 49 ⋅ 49 = 2401

To find the day after 2401 days from now, we have to divide 2401 by 7 to get the remainder.

We get 0 as remainder. According to day arithmetic, 0 stands for Sunday.

Hence the day after 2401 from now is Sunday.

**Question 3 :**

If f(x) = x^{3}, then what times is f(4) than f(2) ?

(A) 2 (B) 3 (C) 4 (D) 8 (E) 10

**Solution :**

f(x) = x f(4) = 4 f(4) = 64 |
f(x) = x f(2) = 2 f(2) = 8 |

f(4) = 64

f(4) = 8 (8)

f(4) = 8 [f(2)]

Hence f(4) is 8 times of f(2).

**Question 4 :**

In the figure, point B is on line segment AC and point D is on line segment AE. The value of x + y is.

**(A) 50 (B) 70 (C) 75 (D) 90 (E) 140**

**Solution :**

In triangle ABD,

<BAD + <ADB + <DBA = 180 ----(1)

<ABD + DBC = 180

<ABD + 50 = 180

<ABD = 130

By applying the value of <ABD in (1), we get

x + y + 130 = 180

x + y = 50

**Question 5 :**

How many prime numbers are between 4 and 16 inclusive ?

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

**Solution :**

4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16

Prime numbers are 5, 7, 11, 13

Hence there are 4 prime numbers between 4 and 16.

**Question 6 :**

How many perfect squares are between 9 and 25 exclusive ?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

**Solution :**

9, 16, 25

Hence the number of perfect square between 9 and 25 is 1.

**Question 7 :**

On the number line, point R (not shown) is to the right of Q and PQ is 1/5 of PR. What is the coordinate of R ?

(A) 7 (B) 15 (C) 23^{ }(D) 25 (E) 40

**Solution :**

Given that :

PQ = (1/5) of PR

PQ = (1/5) ⋅ PR

5 PQ = PR

Distance between P and Q = -8 - (-5)

= -8 + 5

= -3 (that is 3 units)

So, the distance between P and R must be 15 units. To get the distance 15 units, let us choose the first option and test whether it satisfies or not.

PR = - 8 - 7 = - 15 (that is 15 units)

Hence the coordinate of R is 7.

**Question 8 :**

If (x/y) = x^{2}, then what is (x/y) - (x/y)^{2} ?

(A) x^{2} (B) x^{2 }y (C) x^{4 }(D) x^{2}(1-x^{2}) (E) x^{2}(1+x^{2})

**Solution :**

(x/y) - (x/y)^{2 }= x^{2} - (x^{2})^{2}

= x^{2} - x^{4}

= x^{2} (1 - x^{2})

**Question 9 :**

In scale drawing, 1 millimeter represents 150 meters. How many square millimeters on the drawing represent 1 square meter ?

(A) 1/150 (B) 1/22500 (C) 150/22500

(D) 120 (E) 22500

**Solution :**

If 1 mm represents 150 m, then 1 sq.mm represents 225 00 sq.m.

1 sq.m = (1/22500) sq.mm

**Question 10 :**

A rectangle is drawn on the coordinate plane. If the coordinates of one corner of the rectangle is (0, -5) and the coordinates of the opposite corner is (7, 3), then what is the area of the rectangle ?

(A) -56 (B) -21 (C) 21 (D) 56 (E) 105

**Solution :**

To solve this problem, first let us draw a rectangle in a coordinate plane with given conditions.

From the given picture, the length of rectangle is 7 units and width of the rectangle is 8 units.

Area of rectangle = length (width)

= 7(8)

= 56 square inches.

**MORE SHSAT QUESTION 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

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