**9th Grade SHSAT Sample Questions**

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

**Question 1 :**

How many multiples of 3 between 1 and 22 are even?

**Solution :**

Multiples of 3 lies between 1 and 22.

3, 6 9, 12, 15, 18, 21

Hence there 7 numbers lies between 1 and 22.

**Question 2 :**

2x(3y) =

**Solution :**

**2x(3y) = 6xy**

**Question 3 :**

In triangle *AB**C*, AB=AC and the measure of angle *C* is 70°. What is the measure of angle *A*, in degrees?

Solution :

Since AB and AC are equal, they form a equal angles.

<B = 70

In a triangle, sum of interior angles will be 180

<A + <B + <C = 180

<A + 70 + 70 = 180

<A = 180 - 140

<A = 40

Hence the measure of angle A is 40°.

**Question 4 :**

√36 x √9 + √16 =

**Solution :**

** = √36 x √9 + √16**

** = ****√(6**⋅6)** **⋅** √(3**⋅3)** + √(4**⋅4)

= 6 ⋅ 3 + 4

= 18 + 4

= 22

Hence the answer is 22.

**Question 5 :**

At 9 A.M. it was 12 degrees below zero. By noon the temperature had dropped 7 degrees. Over the next two hours, the temperature rose 5 degrees. What was the temperature at 2 P.M.?

**Solution :**

At 9 A.M the temperature was -12 degree

At 12 P.M, the temperature has dropped 7 degree

So, the temperature was = -12 - 7 = -19

After two hours from 12 P.M,the temperature rose 5 degrees

At 2 PM, the new temperature will be = -19 + 5

= -14 degree

Hence 14° below zero is the required answer.

**Question 6 :**

Bob’s age is now 3 times Tom’s age. Twelve years from now, Tom will be 15 years old. How many years old is Bob now?

**Solution :**

Let "x" be Tom's age.

After 12 years, Tom's age will be 15.

x + 12 = 15

x = 15-12 = 3

Tom's present age = 3

Bob's present age = 3 times Tom’s present age

= 3 (3)

= 9

Hence the required age is 9 years.

**Question 7 :**

In rectangle ABCD, point E is on side AB. What is the measure of angle DEC?

**Solution :**

First let us consider the triangle ADE,

<A = 90

4x + 5x + 90 = 180

9x + 90 = 180

9x = 90

x = 10

Let "y" be the angle <DEC

5x + 6x + y = 180

11 x + y = 180

11(10) + y = 180

110 + y = 180

y = 180 - 110 = 70

Hence the required angle is 70 degree.

(A) 10° (B) 48° (C) 60° (D) 70° (E) 90°

**Question 8 :**

If 1 < 4n < 50, and n is a positive Integer, what is the largest possible value for n?

**Solution :**

**1 < 4n < 50**

**Divide the entire equation by 4. **

**1/4 ****< n < 50/4**

**Integer means, a number should not have decimal point.**

1/4 = 0.25

50/4 = 12.5

integers lies between these decimals are

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Hence there are 12 integers.

**Question 9 :**

Which of the following is equal to (8x-8)/2?

**Solution :**

= (8x-8)/2

= 2(4x - 4)/2

= 4x - 4

**Question 10 :**

If 7x – 14 = 14 – 7x, then x =

**Solution :**

7x – 14 = 14 – 7x

Add 7x on both sides

7x + 7x - 14 = 14

Add 14 on both sides

14x = 14 + 14

14x = 28

x = 28/14

x = 2

Hence the value of x is 2.

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