# SHSAT PRACTICE TEST IN MATH

## About "SHSAT Practice Test in Math"

SHSAT Practice Test in 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 in Math

## SHSAT Practice Test in Math - Practice questions

Question 15 :

Two sides of a right triangle are 3 and 4.  The third side is

(A)  1  (B)  3  (C)  5  (D)  7  (E)  not uniquely determined

Solution :

In a right triangle, the square of hypotenuse side is equal to the sum of the squares of other two sides.

Third side  =  √32 + 42

=  √(9 + 16)

=  √25

=  5

Question 16 :

A cube 3 by 3 by 3 is painted red on all six faces and then cut into 27 smaller 1 by 1 by 1 cubes.  How many of these new smaller cubes have exactly two faces that are painted red?

(A)  6  (B)  8  (C)  12  (D)  21  (E)  27

Solution :

Like this we may find 12 cubes under the given condition.

Question 17 :

If 2 blobs = 3 glops and 3 blobs = 2 chunks, then 1 chunk =

(A)  1 glop  (B)  2/3 glop  (C)  3/2 glops

(D)  4/9 glop  (E)  9/4 glops

Solution :

Given that :

2 blobs = 3 glops  ----(1)

3 blobs = 2 chunks ----(2)

1 glap  =  (2/3) blobs

1 blob  =  2/3 chunks

2/3 chunks  =  (2/3) blobs

1 chunk  =  1 blob

Hence 1 blob is the answer.

(18) and (19)  The two pie charts show the ice cream flavor preferences of the students at two high schools.

Question 18 :

The ratio of Montague students who prefer vanilla to Montague students who prefer chocolate is

(A)  10:9  (B)  4:3  (C)  3:10  (D)  3:4  (E)  2:5

Solution :

Percentage of students who prefer Vanilla flavor

=  40%

Percentage of students who prefer chocolate flavor

=  30%

=  40 : 30

=  4 : 3

The the answer is 4 : 3.

Question 19 :

If the number of Montague students who prefer vanilla is M and the number of Capulet students who prefer vanilla is C, then

(A)  M > 2C  (B) M = 2C  (C)  M = C  (D)  M < C

(E) The relationship cannot be determined from the given information

Solution :

In Montague high, percentage of students who prefer Vanilla flavor (M)  =  40%

In Capulet high, percentage of students who prefer Vanilla flavor (C)  =  20%

Hence the required relationship is M = 2C.

Question 20 :

If x is an integer, which one of the following must be odd?

(A)  3x + 1  (B)  3x + 2  (C)  4x - 1

(D)  4x - 2  (E)  5x – 2x

Solution :

Since x is an integer, it may be odd or even.By multiplying odd or even number by 4, we get even number and by subtracting even number by 1, we get odd integer.

Hence 4x - 1 is the correct answer.

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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