# SHSAT MATH FREE TEST ONLINE

## About "SHSAT Math Free Test Online"

SHSAT Math Free Test Online :

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

To find the questions from 1 to 5, please visit the page "SHSAT Math Sample Test with Answer"

To find the questions from 6 to 10, please visit the page "SHSAT Math Test Online"

SHSAT Math Test Online.

## SHSAT Math Test Online - Practice questions

Question 1 :

One-half of one-sixth is equal to

(A)  one-third of one-fourth  (B)  one-third

(C)  one  (D)  two  (E)  three

Solution :

Given that :

One-half of one-sixth is equal to

=  (1/2) ⋅ (1/6)

=  1/12

One third of one fourth is the answer.

Question 12 :

The areas of triangles ABC and XYZ are each 10.  The area of the shaded region is 14.  Then the area of triangle XWC is (A)  12  (B)  8  (C)  6  (D)  3  (E)  2

Solution :

Area of triangle ABC  =  10

Area of XYZ  =  10

Area of shaded region  =  14

Area of ABC + Area of XYZ  =  10 + 10  =  20

Overlapping area  =  20 - 14  =  6

Question 13 :

1  1/10  + 2  11/100 + 3  111/1000 (mixed fractions)  =

(A)  6.111  (B)  6.123  (C)  6.111111  (D)  6.321  (E)  6.6

Solution :

=  11/10 +  211/100 + 3111/1000

=  1.1 + 2.11 + 3.111

=  6.321

Question 14 :

If x is positive and x2 + x = 50, then x is a number between

(A)  6 and 7  (B)  7 and 8  (C)  8 and 9

(D)  9 and 10  (E)  10 and 11

Solution :

x2 + x = 50

Let us apply the first option, in the question

62 + 6 = 42

72 + 7 = 56

50 lies between 42 and 56.

Hence the value of x lies between 6 and 7.

Question 15 :

In the figure, C is a point on line segment AE.  If AB = BC, what is the measure of angle DCE? (A)  80°  (B)  75°  (C)  60°  (D)  25°  (E)  20°

Solution :

AB  =  BC  =  y

In triangle ABC,

<BAC + <ACB + <CBA  =  180

y + y + 20  =  180

2y  =  160

y  =  80

<ACB + x + 3x  =  180

80 + 4x  =  180

4x  =  100

x  =  25 After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Math Free Test Online".

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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 