SHSAT MATH PRACTICE WORKSHEET

About "SHSAT Math Practice Worksheet"

SHSAT Math Practice Worksheet :

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 Worksheet - Practice questions

(1)  Phone Company A charges 50 + 3x dollars for an international phone plan, where x is the number of minutes spent talking.  Phone Company B charges 60 + 2x dollars for an international phone plan, where x is the number of minutes spent talking.  What is the price at which both companies charges the same amount?

(A)  $10  (B)  $20  (C)  $30  (D)  $80  (E)  $110

Solution 

(2)  William, Xing Mei, Yuki, and Zack run a race.  In how many different ways can they finish?

(A)  4  (B)  16  (C)  24  (D)  32  (E)  64 

Solution

(3)  What is the solution set for -1 ≤ -2f + 1 ≤ 9?

Solution

(4)  On a blueprint of a school 1/4 inch represents 24 feet.  If the cafeteria is 60 feet long, what is its length,in inches, on the  blue print?

(A)  3/8  (B)  5/8  (C)  3/4  (D)  1 ¼  (E) 2 ½

Solution

(5)  In the above figure, the two circles ate tangent at point R.  The length of PR = 8.  The area of the circle with center Q is 4 times larger than the area of the circle with center S.What is the length of QS?

(A)  6  (B)  8  (C)  10  (D)  12  (E)  16

Solution

(6)  Olu has taken four tests so far in her math class.  Her scores on these tests are 94, 100, 88 and 80.  The score on her final exam will be counted twice in her mean.  What is the lowest score she can ger on her final exam and have a mean score of no less than 92?

(A)  90  (B)  95  (C)  97  (D)  100  (E)  180

Solution

(7)  Darius ran 1/6 as many times around the track as Ezekiel.  Darius ran around the track 2⅔ times.  How many times did Ezekiel run around the track?

(A)  8  (B)  10  (C)  12  (D)  14  (E)  16

Solution

(8)  A decagon has 10 sides and 10 angles.  What is the average number of degrees        in each interior angle of a decagon?

(A)  140  (B)  144  (C)  1,296  (D)  1,400  (E)  1,440

Solution

(9)  The table below show a relationship between x and y values.

(A)  y = 0.5x + 2  (B)  y = x + 1  (C)  y = 2x + 1 

(D)  y = 3x – 2  (E)  y = 4x – 1

Solution

(10)  |x - 3 x 5| = 6 + y, |9 – y + 6| = 21

In the equations above, y < 0. What is the value of x?

(A)  -15  (B)  -3  (C)  3  (D)  5  (E)  15

Solution

(11) The probability of picking a piece of dark chocolate out of a bowl of candy is 5 / 6. Which of the following  could NOT be the number of pieces of candy in the bowl?

 (A)  6  (B)  11  (C)  24  (D)  30  (E)  60

Solution

(12)  Two pyramids are glued together base to base.  The area of each base is 25 in 2, and the height of one of the pyramids is 3 in.The other  pyramid is twice as high. What is the total volume of the combined figure?

(A)  25 cu. in  (B)  50 cu. in  (C)  75 cu. in

(D)  100 cu. in  (E)  125 cu. in

Solution

(13)  If a = 2b3/c, what happens to the value of a when both b and c are doubled?

(A)  a is not changed  (B)  a is halved 

(C)  a is doubled (D)  a is tripled

(E)  a is multiplied by 4.

Solution

(14)  In a class poll, 24 students choose pizza as their favorite food, 15 students chose hamburgers, and 1 student chose neither.  What fraction of the students polled chose pizza?

(A)  3/5  (B)  4/5  (C)  ¼  (D)  3/8  (E)  5/8

Solution

(15)  What is the value of √16+9 – (√16 + √9) ?

(A)  -2  (B)  0  (C)  2  (D)  4  (E)  6

Solution

(16) 

 In the above figure, triangle PQR is equilateral, S is located at the midpoint of PR , and T is located at the midpoint of QR.  What is the degree measurement of angle PST?

(A) 120  (B)  125  (C)  135  (D)  150  (E)  180

Solution

(17) 

 The graph above shows the distribution of Pete’s $1,200 living expenses.  Pete has two roommates and splits the cost of rent with them equally, so the amount he pays for rent is only part of the total rent for the apartment in which he lives.  What is the total rent for Pete’s apartment?

(A)  $360  (B)  $720  (C)  $1,080 

(D)  $1,200  (E)  $1,333

Solution

(18)  At noon, Bradley began steadily increasing the speed of his car by 2 miles per hour every minute.  At 12:15 p.m., he realized he was going 15 miles per hour over the speed limit.  If his speed at noon was 40 miles per hour, what was the speed limit.  If his speed at noon was 40 miles per hour, what was the speed limit at 12:15 p.m.?

(A)  50  (B)  55  (C)  60  (D)  65  (E)  70

Solution

(19)  (2 + 3) x (4 – 2)2

If the parenthesis  were removed from the above expression, what would be the change in the value of the expression?

(A)  There will be no change in value

(B)  a decrease of 4  (C) a decrease of 10

(D)  a decrease of 18  (E)  a decrease of 186

Solution

(20) 

 Point C (not shown) is on the midpoint of AB.  What is the y-coordinate of point c?

(A)  -1.0  (B)  -0.5  (C)  0  (D)  0.5  (E)  1.0

Solution

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ALGEBRA

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

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

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

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

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

TRIGONOMETRY

SOHCAHTOA

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

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

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

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

Area of quadrilateral

Parabola

CALCULATORS

Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator

MATH FOR KIDS

Missing addend 

Double facts 

Doubles word problems

LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

Converting customary units

WORD PROBLEMS

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

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