# SHSAT PRACTICE QUESTIONS AND ANSWERS IN MATH

SHSAT Practice Questions and Answers in Math

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

SHSAT Practice Questions and Answers in Math

## SHSAT Practice Questions and Answers in Math with Solutions

Question 11 :

Express 6.925 x 105 in standard form.

Solution :

=  6.925 x 105

=  6.925 x 100000

=  692500

Question 12 : On the number line above, X is located at -10, Y is at -2, and Z is at 8.  M (not shown) is the midpoint of XY, and N (not shown) is the  midpoint of YZ.  What is the midpoint of MN?

Solution :

Y is located at -2 and X is located at -10.

Numbers between X and Y are

-2, -3, -4, -5, -6, -7, -8, -9, -10

The midpoint of these two numbers is -6.

So, M is located at -6.

Numbers between Y and Z are

-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8

So, N is located at 3.

Now, let us write the numbers between -6 and 3.

-6, -5, -4, -3, -2, -1, 0, 1, 2, 3

-1.5 is the midpoint of MN.

Question 13 :

If 0 < y < 1, which of the following statements must be true?

(A)  y2 > y3  (B)  y > 0.5y  (C)  y > y3

(D)  All of the above  (E)  None of the above

Solution :

Let x = 0.5

By applying the value of y in option A, we get

0.25 > 0.125  True

By applying the value of y in option B, we get

0.5 > 0.5 (0.5)

0.5 > 0.25  True

By applying the value of y in option C, we get

0.5 > (0.5)3

0.5 > 0.125  True

Hence all of the above is true.

Question 14 :

The area of the square ABCD is 4 times larger than the area of square WXYZ.  If the area of square WXYZ is 9, what is the difference between the length of a side of square ABCD and the length of a side of square WXYZ?

Solution :

Area of the square ABCD  =  4 Area of the square WXYZ

Area of the square WXYZ  =  9

a2  =  9

a  =  3

Side length of square WXYZ  =  3

Area of the square ABCD  =  4(9)  =  36

s2  =  36

s  =  6

Difference between side length of ABCD and WXYZ

=  6 - 3

=  3

Question 15 :

Triangle GHI is similar to Triangle JKL. What is the length of side JK?

Solution :

Since the above triangles are similar, the length of the sides are in the same ratio.

GI/JL  =  GH/JK  =  IH/ LK

(3x/4)/x  =  12/JK  =  IH/LK

3/4  =  12/JK

JK  =  12(4)/3

JK  =  16

Question 16 :

Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hours shifts.  Each person will drive for one shift, and take two shifts off to rest.  If Wesley’s first shift starts at 6:00 a.m., at what time will Wesley complete his third shift?

Solution :

 1st shift6 AM - 1 PM1 PM - 8 PM8 PM - 3 AM 2nd shift3 AM - 10 AM10 AM - 5 PM5 PM - 12 AM 3rd shift12 AM - 7 AM

Hence the required answer is 7 : 00 AM.

Question 17 :

What is the difference between the largest and lowest integer in the sequence of consecutive odd integers whose sum is 15 ?

Solution :

Let us select three numbers 3, 5 and 7.

3 + 5 + 7  =  15

Difference between largest and lowest integer

=  7 - 3

=  4

Question 18 :

The half life of a substance is the time it takes for a substance to decrease to half its initial amount. John has a pile of goo that decreases in amount at a constant rate. If John initially had 100 pounds of goo, and ten days later, he only had 25 pounds of goo, what is the half of the goo ?

Solution :

In 10 days, the goo decreased by 2 half lives. So each life is 5 days.

Question 19 :

What is the value of (94 - 84)/(92 + 82) ?

Solution :

(94 - 84)/(92 + 82)  =  [(92)2 - (82)2] / (92 + 82)

=  [(92 + 82) (92 - 82)] / (92 + 82)

=  92 - 82

=  81 - 64

=  17

Question 20 :

Jackie fills a jug with water continuously. It takes her 2 minutes to fill up 50% of the empty space in the jug with water. After every 2 minutes, she puts a penny into a jar to celebrate. How many pennies will she have in the jar at the instant the jug has less than 30% empty space left ?

Solution :

Now Jackie starts to fill the jug. At the first round, he fills 50% of empty space in the jug in 2 minutes and drop a penny.

Now the jug contains 50% of empty space. If he fills half of the 50% of empty space at that instant, the quantity of water will become 75%. Hence the condition will not satisfy, by filling water in the second round.

So, there is only 1 penny in the jar at the instant the jug has lesser than  30% of empty space. 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, "SHSAT Practice Questions and Answers in Math".

Apart from the stuff given in this sectionif you need any other stuff in math, please use our google custom search here.

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

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 