# SHSAT PRACTICE TEST MATH

SHSAT Practice Test Math :

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 Practice Test Math - Practice questions

(1)  If 3x + 2y  =  19 and 2x + 3y  =  91, what is the value of x + y ?

(A)  8  (B)  9  (C)   21  (D)  22  (E)  72

Solution

(2)  Kenny buys candy bars at 9 for \$1 and sells them at 3 for \$1. How many candy bars must he sell in order to make a profit of exactly \$10 ?

(A)  27  (B)  30  (C) 45  (D)  60  (E)  90

(3)  Juan travels at the rate of 30 miles per hour for 4 hours. He then returns over the same route in  hours. What was his average rate for the return trip, in mile per hour ?

(A)  22  1/2  (B)  34  2/7  (C)  35  (D)  36  (E)  40

(4)  The value of 35 + 3+ 35 is

(A)  3 (B)  315  (C)  95  (D)  9125  (E)  45

(5)  Lindsay has P dollars and mark has \$9 less than Lindsay. If mark receives an additional \$11, how many dollars will mark now have, in terms of P ?

(A)  P - 20  (B)  20 - P  (C)  P + 2  (D)  2 - P  (E)  P +  11

(6)  R  =  2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 11 and S  =  3 ⋅ 7 ⋅ 13 ⋅ 17, what is the greatest common factor of R and S ?

(A)  2 ⋅ 3 ⋅ 3  ⋅ 3 ⋅ 5 ⋅ 7  ⋅ 7 ⋅ 11 ⋅ 11  ⋅ 13  ⋅ 17

(B)  2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7  ⋅ 11  ⋅ 13  ⋅ 17

(C)   3 ⋅ 7  (D)  3 ⋅ 3 ⋅ 7 ⋅ 7  (D)  3 ⋅ 3 ⋅ 3 ⋅ 7 ⋅ 7

(7)  The counting numbers are placed in order in the chart, as shown. Assuming the pattern continues, in which column will the 200 appear ? (A)  Q  (B)  S  (C)  T  (D)  U  (E)  V

(8)  The equation 2(3x + 6)  =  3(2x + 4) is satisfied by

(A)  No value of x  (B)  Only negative values of x

(C)  Only x = 0

(D)  only positive values of x  (E)  all values of x

(9)  Wai ling averaged 84 on her first three exams and 82 on her next 2 exams. What grade must she obtain on her sixth test in order to average 85 for all six exams ?

(A)  96  (B)  94  (C)  90  (D)  89  (E)  86

(10)  How many prime numbers between 8 and 60 leave a remainder of 2 when divided by 6 ?

(A)  0  (B)  1  (C)  4  (D)  6  (E)  7

(11)  In a diagram, each small box is a square whose side is 3. What is the area of the shaded figure ? (A)  108  (B)  54  (C)  36  (D)  18  (E)  6

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

(A)  2  (B)  7  (C)  8  (D)  9  (E)  10

(13)  In a diagram, lines m and n are parallel. What is the value of x ? (A)  20  (B)  40  (C)  45  (D)  60  (E)  70

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

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

(D)  R < Q < P  (E)  P  =  Q

(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.

(A)  is 20  (B)  is 51  (C) is 52 (D)  is 54

(E)  cannot be determined from the information given

(16) Evaluate  (1/2) + (1/3) - (1/4)  =

(A)  1/20  (B)  7/12  (C)  3/4  (D)  1  (E)  13/12

(17)  In the diagram, AC  =  BD  =  17 and BC  =  3. The length of segment AD is (A)  20  (B)  24  (C)  28  (D)  31  (E)  34

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

(A)  -14  (B)  -6  (C)  0  (D)  8  (E)  20

(19)  The sum 210 + 110 + (1/2)10 + (1/3)10 + (1/4)10 is closest to

(A)  21  (B)  32  (C)  513   (D)  1025  (E)  2000

(20)   43 + 4343 + 43  =

(A)  4(B)  49  (C)  412  (D)  163  (E)  1612 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, how to solve problems in SHSAT exams.

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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 