# SHSAT MATH SAMPLE TEST QUESTIONS AND ANSWERS

SHSAT Math Sample Test Questions and Answers :

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

## SHSAT Math Sample Test Questions and Answers

Question 11 :

If N = √(36 + 49), then N is

Solution :

N = √(36 + 49)

N = √85

The square root of 81 is 9.

But root 85 is greater than 81, the number between 9 and 10.

Question 12 :

Susan is 5 years older than Phen is now.  In N years, Susan will be twice as old as Phen is now.  If Susan is now 22 years old, what is the value of N?

Solution :

Let "x" be Phen's age

x + 5 be Susan's age

x + 5 + N  =  2x  ---(1)

Now Susan's age =  22 years

x + 5  =  22

x  =  22 - 5  =  17

By applying the value of x in (1)

17 + 5 + N  =  2(17)

22 + N  =  34

N  =  34 - 22

N  =  12

Question 13 :

The number of integer values of n for which 1 ≤ √n ≤ 3 is

Solution :

1 ≤ √n ≤ 3

√1  =  1

√2  = 1.41....

√3  = 1.73

√4  =  2

√5  =  2....

√9  =  3

Hence 9 is number of integer values of n.

Question 14 :

In right triangle ABC, angle ACB is 90°.  The  number of degrees in angle BEC is

Solution :

In triangle ACB :

<ACB + <CBA + <BAC  =  180

90 + <CBA + 20  =  180

<CBA  =  180 - 110  =  70

Now consider the triangle CEB,

<CEB + <CBE + <BCE  =  180

<CEB + 70 + 70  =  180

<CEB  =  180 - 140

<CEB  =  40

Question 15 :

If it is now 12:00 noon, what time was it 40 hours ago?

Solution :

40 + 12  =  52

By dividing 52 by 12, we get the quotient 4 and remainder as 4.

Now, we have to move the clock 4 hours back word from 12 : 00 noon. So we get 8 : 00 AM.

Question 16 :

The mean of all the odd integers between 6 and 24 is

Solution :

First let us list out the odd integers between 6 and 24.

7, 9, 11, 13, 15, 17, 19, 21, 23

So, there are 9 odd numbers lies between 6 and 24.

Mean  =  (7 + 9 + 11 + 13 + 15 + 17 + 21 + 23)/9

=  135/9

=  15

Question 17 :

Let x be an element of the set {0.2, 1.2, 2.2, 3.2, 4.2}.  For how many values of x is 10x/3 an integer?

Solution :

Let f(x)  =  10x/3

 x = 0.2  =  10(0.2)/3  =  2/3Not integer x = 1.2  =  10(1.2)/3  =  12/3=  4   =  integer x = 2.2  =  10(2.2)/3  =  22/3=  Not integer x = 3.2  =  10(3.2)/3  =  32/3=  Not integer x = 4.2  =  10(4.2)/3  =  42/3=  integer

Hence for 2 values of x, we get integer.

Question 18 :

George has just enough money to buy 3 chocolate bars and 2 ice cream cones.  For the same amount money, he could buy exactly 9 chocolate bars.  For the same amount of money, how many ice cream cones could George buy?

Solution :

Let "x" and "y" be the cost of one chocolate bar and one ice cream cone.

3x + 2y  =  f(x)  ---(1)

Cost of 9 chocolate bars  =  9x  =  f(x)  ----(2)

(1)  =  (2)

3x + 2y  =  9x

2y  =  9x - 3x

2y  =  6x

y  =  3x  ==> x  =  y/3

By applying y = 3x in (1), we get

3(y/3) + 2y  =  f(x)

y + 2y  =  f(x)

f(x)  =  3y

Hence, we can buy 3 ice cream cone for the same amount.

Question 19 :

ABCD and PQRS  are squares, as shown.  The area of PQRS is

Solution :

To find the side length pf RS, we have to use Pythagorean theorem.

In triangle DSR,

SR2  =  SD2 + DR2

SR2  =  12 + 2=  5

SR  =  √5

Area of the square PQRS  =  a2

=  (√5) =  5

Question 20 :

If x = 10 and y = 8, what is the value of y (3x – 2y)?

Solution :

=  y(3x – 2y)

x = 10, y = 8

=  8(3(10) – 2(8))

=  8 (30 - 16)

=  8 (14)

=  112

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, "SHSAT Math Sample Test Questions And Answers".

Apart from the stuff given in this sectionif you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6