# SHSAT PRACTICE MATH TEST

## About "SHSAT Practice Math Test"

SHSAT Practice Math Test :

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 Math Test

## SHSAT Practice Math Test - Practice questions

Question 6 :

The equation 2(3x + 8) = 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.

Solution :

2(3x + 8) = 3(2x + 4)

6x + 16  =  6x + 12

No value of x.

Question 7 :

In the formula V = s2h, if s is doubled and h is tripled, then V is multiplied by

(A)  5  (B)  6  (C)  12  (D)  18   (E)  36

Solution :

V = s2h  ---(1)

Since "s" is doubled, s = 2s, "h" is tripled h = 3h

By applying the new values of s and h in (1), we get

V = (2s)2(3h)

V  =  4s2 (3h)

V  =  12s2 h

Hence V is multiplied by 12.

Question 8 :

You have 10 large boxes that can each hold 8 soccer balls, and 10 small boxes that can each hold 5 of the same soccer balls.  If you have 99 soccer balls, what is the greatest number of boxes you can completely fill?

(A)  13  (B)  14  (C)  15  (D)  16  (E)  19

Solution :

Large box can hold 8 soccer balls each, small box can hold 5 soccer balls each.

By choosing 8 large box, we may place 8 soccer balls each. So, in large box we will have 64 balls.

99 - 64  =  35

Now we may place these 35 balls in 7 small boxes containing 5 balls each.

Number of boxes  =  8 + 7  =  15

Hence the total number of boxes is 15.

Question 9 : The straight line graph shows the relationship between number of hours worked and amount earned.  How much would be earned for 50 hours of work?

(A)  \$50  (B)  \$83  (C)  \$120  (D)  \$150  (E)  \$300

Solution :

Let "x" be the number of hours worked

"y" be the amount earned.

y = kx  --(1)

30  =  k(5)

k = 30/5  =  6

The equation y = 6x represents the above relation.

y = 6 (50)  =  300

Hence the cost earned for working 50 hours is \$300.

Question 10 :

The perimeter of a triangle, all of whose sides have integer length, is 19.  A possible length for the largest side is

(A)  6  (B)  8  (C)  10  (D)  15  (E)  17

Solution :

The sum of three lengths is given as 19. If the longest side is 10, the sum of the other two sides would be 9, which is impossible.

Hence the longest side must be less than 10. If the longest side is only 6, then the perimeter cannot be more than 18. After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Practice Math Test".

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WORD PROBLEMS

Word problems on simple equations

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Algebra word problems

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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

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Complementary and supplementary angles word problems

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Markup and markdown word problems

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Pythagorean theorem word problems

Percent of a number word problems

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Word problems on average speed

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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 