9th GRADE SHSAT SAMPLE QUESTIONS

About "9th Grade SHSAT Sample Questions"

9th Grade SHSAT Sample Questions

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

9th Grade SHSAT Sample Questions - Practice questions

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 ABC, 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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