# SHSAT MATH PRACTICE TEST QUESTIONS

## About "SHSAT Math Practice Test Questions"

SHSAT Math Practice Test Questions :

Here we are going to see some practice questions questions for SHSAT exams. Each question paper consists of 20 question. For each questions, you can find solution with detailed explanation.

SHSAT Math Practice Test Questions

## SHSAT Math Practice Test Questions - Practice questions

Question 1 :

Thirty of the fifty students who took an exam received a grade of 90%  or greater.  What percentage of those fifty students received a grade of less than 90%?

(A)  70  (B)  35  (C)  40  (D)  30  (E)  10

Solution :

Total number of students  =  50

Number of students scored 90% or

more than 90% marks   =  30

Percentage of students who score

more than 90% of marks  =  (30/50) ⋅ 100%

=  60%

So, 60% of students are scoring 90% or more than 90% of marks.

Hence 40% students are getting lesser than 90% marks.

Question 2 :

Let n be a number from -3 to 4 inclusive.  What is the range of values of n2?

(A)  -9 ≤ n2 ≤ 16  (B)   9 ≤ n2 ≤ 16  (C)  3 ≤ n2 ≤ 4

(D)  0 ≤ n2 ≤ 2  (E)  0 ≤ n2 ≤ 16

Solution :

 n = -3n2  =  9 n = -2n2  =  4 n = -1n2  =  1 n = 0n2  =  0 n = 1n2  =  1 n = 2n2  =  4 n = 3n2  =  9 n = 4n2  =  16

The range of n2 lies between 9 to 16 (inclusive).

Question 3 :

A is 3 times C.  B is 8 less than C.  For what value of C does A = B?

(A)  -4  (B)  0  (C)  1  (D)  2  (E)  5/2

Solution :

Given that :

A  =  3 C

B  =  C - 8

A  =  B

3 C   =  C - 8

3C - C  =  -8

2C  =  -8

C  =  -4

Question 4 :

In a class of 28 students, everyone likes math, English, or both.  If 17 like math and 19 like English, how many like both?

(A)  2  (B)  8  (C)  16  (D)  20  (E)  28

Solution :

Number of students in a class  =  28

Number of students who like math  =  17

Number of students who like English  =  19 Number of students who like at least one  =  28

17 - x + x + 19 - x  =  28

36 + x  =  28

x  =  28 - 36

x  =  8

Hence the number of students who like both subject is 8.

Question 5 :

Let x = 32·53·74 and y = 23·3·52.  What is the greatest common factor of and y?

(A)  2· 3 · 5 · 7  (B)  2· 3· 5· 74  (C)  3 · 5

(D)  3 · 52  (E)  32·53

Solution :

x = 32·53·74 and y = 23·3·52

Common factors are 3 · 52. After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Math Practice Test Questions".

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