About "SHSAT Math Practice Test"

SHSAT Math Practice Test :

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

SHSAT Math Practice Test

SHSAT Math Practice Test - Practice questions

Question 11 :

In a diagram, each small box is a square whose side is 3. What is the area of the shaded figure ?

Solution : 

Base of the triangle  =  3

height  =  4

Area of triangle  =  (1/2) ⋅ base ⋅ height 

  =  (1/2) ⋅ 3 ⋅ 4

  =  6 square units

Question 12 :

When expressed in scientific notation, the number 1, 230, 000, 000 is 1.23 x 10B. The value of B is 

Solution :

Since we move the decimal point 9 digits to the left side, the scientific notation of the given number is 

1, 230, 000, 000 = 1.23 x 109

Hence the value of B is 9.

Question 13 :

In a diagram, lines m and n are parallel. What is the value of x ?

Solution :

Here l and m are parallel lines.

In a triangle, sum of angles  =  180

right angle + 70 + third angle  =  180

90 + 70 + third angle  =  180

third angle  =  180 - 160  =  20 

Since l and m are parallel lines, the missing angle is 20 degree.

Question 14 :

If p =  √(2 + √10), Q  =  √(10 + √2) and R = √(5 + √5)

Solution :

Approximate value of P :

The approximate value of 10 is 3.....

By adding 3.... and 2, we get 5......... By taking √5......, we get 2.......

Approximate value of Q :

The approximate value of √2 is 1.....

By adding 1.... and 10, we get 11......... By taking √11......, we get 3.......

Approximate value of R :

The approximate value of √5 is 2......

By adding 2.... and 5, we get 7......... By taking √7......, we get 2.......

P  =  √5......, Q = √11...... and R = √7......

Hence the answer is P < R < Q.

(A)  P < Q < R   (B)  P < R < Q  (C)  Q < R < P 

(D)  R < Q < P  (E)  P  =  Q

Question 15 :

The sides of a triangle all have integer lengths. Two side have lengths 7 and 10. If the largest and smallest possible perimeters for the triangle are L and S, the value of L + S.

Solution :

The length of 2 sides of a triangle is 7 and 10. According to triangle inequality property, the sum of length of two sides will be less than to the third side.

So, length of third side is less than 17.

The longest third side could be 16. L = 7 + 10 + 16  =  33

The shortest the third side could be 4., because a side of 3 plus a side of 7 is not greater than a side of 10.

S = 7 + 10 + 4

S  =  21

L + S  =  33 + 21  =  54.

Question 16 :

(1/2) + (1/3) - (1/4)  = 

Solution :

L.C.M (2, 3 and 4)  =  12

In order to convert the denominator of first fraction as 12, we have to multiply both numerator and denominator by 6.

(1/2)⋅(6/6)  =  6/12  ----(1)

The second fraction by 4

(1/3)⋅(4/4)  =  4/12  ----(2)

The third fraction by 3

(1/4)⋅(3/3)  =  3/12  ----(3)

(1) + (2) - (3)

  =  (6/12) + (4/12) - (3/12)

  =  (6 + 4 - 3)/12

  =  7/12

Question 17 :

 In the diagram, AC  =  BD  =  17 and BC  =  3. The length of segment AD is 

Solution :

To find the length of AD, we have to add the lengths of AB, BC and CD.

AC  =  17

AB  =  AC - BC

  =  17 - 3

AB  =  14

BD  =  17

CD  =  BD - BC

  =  17 - 3

CD  =  14

AD  =  AB + BC + CD  

  =  14 + 3 + 14

  =  31

Hence the answer is 31.

Question 18 :

What is the value of |x - y| + |y - x| if x = -3 and y = -7 ?

Solution :

|x - y|  =  |-3 - (-7)|

  =  |-3 + 7|

  =  4

|y - x|  =  |-7 - (-3)|

  =  |-7 + 3|

  =  4

|x - y| + |y - x|  =  4 + 4  =  8

Hence the answer is 8.

Question 19 :

The product of the first ten prime numbers must be divisible by

Solution :

First 10 prime numbers are

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Since it is multiple of 22 (2⋅11), it is divisible by 22.

Question 20 :

43 +43 + 43 + 43  =  

Solution :

43 +43 + 43 + 43  =  4(43)

  =  4(1 + 3)

  =  44

(A)  44  (B)  49  (C)  412  (D)  163  (E)  1612

After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Math Practice Test".

Apart from the stuff given in this section "SHSAT Math Practice Test"if you need any other stuff in math, please use our google custom search here. 

Widget is loading comments...

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


Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power


Quantitative aptitude

Multiplication tricks


Aptitude test online


Test - I

Test - II


Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices





Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet



Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem


Mensuration formulas

Area and perimeter



Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem


Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance


Area of triangle

Area of quadrilateral



Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator


Missing addend 

Double facts 

Doubles word problems


Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work


Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry


Converting metric units

Converting customary units


HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic 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


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