# SHSAT MATH MIXED PRACTICE QUESTIONS

## About "SHSAT Math Mixed Practice Questions"

SHSAT Math Mixed Practice Questions :

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 Mixed Practice Questions

## SHSAT Math Mixed Practice Questions - Practice questions

Question 1 :

(3 + 4)2 =

(A)  13  (B)  14  (C)  19  (D)  25  (E)  49

Solution :

=   (3 + 4)2

=   72

=  49

Question 2 :

The exact value of √49 - √24 is

(A)  2  (B)  between 2 and 5  (C)  5 (D)  more than 5

(E)  The expression does not have an exact value.

Solution :

=   √49 - √24

=  7 - √(2⋅2⋅2⋅3)

=  7 - 2√6

The answer is between 2 and 5.

Question 3 :

200% of 7 is

(A)  .14  (B)  7  (C)  14  (D)  21  (E)  1,400

Solution :

=  200% of 7

=  (200/100) ⋅

=  14

Question 4 :

(All line segments are either horizontal or vertical, as shown.)  The perimeter of the figure is

(A)  5  (B)  6  (C)  7  (D)  12  (E)  14 Solution :

The two unmarked vertical side must add upto 3, and two unmarked horizontal sides must add upto 4.

Perimeter  =  3. + 4 + 3 + 4  =  14

Hence the perimeter is 14.

Question 5 :

What is the value of N if (1/5) – (1/6) = 1/N?

(A)  7  (B)  30  (C)  1/30  (D)  -30  (E)  -1/30

Solution :

=  (1/5) – (1/6)

Since the denominators are not same, we have to take L.C.M.

=  (6 - 5)/30

=  1/30

Hence the value of N is 30.

Question 6 :

Find the value of (24 – 42) + (2– 32)

(A)  -11  (B)  -8  (C)  -1  (D)  0  (E)  1

Solution :

=  (24 – 42) + (2– 32)

=  (16 - 16) + (8 - 9)

=  0 + (-1)

=  -1

Question 7 :

On the number line shown, Q (not shown) is the midpoint of PR.  What is the midpoint of QS? (A)  -5  (B)  -4  (C)  0  (D)  1  (E)  8

Solution :

Midpoint of PR  =  Q

Distance between PR :

-8 to -6  =  -2 units, -6 to -4 = -2 units, -4 to -2 = -2 units,

-2 to 0 = -2 units, 0 to 2 = 2 units.

Midpoint of PR, Q = -6/2  =  -3

S is located on 5.

Q is located on -3

Midpoint of QS  =  (-3 + 5)/2  =  2/2  =  1

Question 8 :

The ratio of boys to girls at a dance was 2 to 3.  If 45 girls attended, what is the number of boys who attended?

(A)  9  (B)  18  (C)  27  (D)  30  (E)  45

Solution :

Ratio of boys to girls  =  2 : 3

Number of girls attended  =  45

2x + 3x  =  5x

5x  =  45

x  =  9

Number of boys attended = 2(9)  =  18

Hence the number of boys is 18.

Question 9 :

If the measure of angle A is 40°, then x + y = (A)  80°  (B)  120°  (C)  180°  (D)  220°  (E)  360°

Solution :

Let the other interior angles of triangle be "p" and "q"

x + p  =  180

y + q  =  180

x + p + y + q  =  180 + 180

x + y + (p + q)  =  360  ---(1)

p + q + 40  =  180

p + q  =  180 - 40  =  140

Applying the value of p + q in (1), we get

x + y + 140  =  360

x + y  =  360 - 140

x + y  =  220

Question 10 :

If 6x is increased by 4y, and the sum is divided by 2, the result is equivalent to

(A)  3x + 4y  (B)  6x + 2y  (C)  3x + 2y

(D)  (10x + y)/2  (E)  5(x + y)

Solution :

By converting the given statement "6x is increased by 4y, and the sum is divided by 2" into expression. We get

=  (6x + 4y) / 2

=  2(3x + 2y) / 2

=  3x + 2y

Hence the answer is 3x + 2y. After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Math Mixed Practice Questions".

Apart from the stuff given in this section "SHSAT Math Mixed Practice Questions"if 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 