Here we are going to see some practice worksheets for SHSAT exams. Each question paper consists of 20 question. For each questions, you can find solution with detailed explanation.

## SHSAT Practice Test Answers - Practice Questions

Question 11 :

If today is Saturday, what day of the week will it be in 365 days from now?

Solution :

The problem starts with Saturday, every 7 days from Saturday, it will be Saturday.

By dividing 365 by 7, we get 1 as remainder.So the answer will be 1 day after Saturday.

Question 12 :

What is the remainder of 7, 700, 000, 000, 202 divided by 9 ?

Solution :

If the sum of the digits is divisible by 9, then the given number is divisible by 9.

7 + 7 + 2 + 2  =  18

Since the sum of the digits is divisible 9, the given number is divisible by 9.

Hence the remainder is 0.

Question 13 : In the figure above AB  =  BC  =  DE  =  EF  and the side of the square is 12. Point B and E are the midpoints of the square. Find the area of the shaded region.

Solution :

AC  =  12, AE  =  6

There are four semicircles.

Area of 4 semicircles with radius 6  =  πr2/2

= 4(πr2/2)  =  2 πr2

=  2π(6)2

=  2π(36)

=  72π

Question 14 :

8 x + 3  =  64 3x, what is the value of x?

Solution :

x + 3  =  64 3x

In order to compare the two terms, we have to convert with them having same base.

x + 3  =  (823x

x + 3  =  8 6x

6x  =  x + 3

6x - x  =  3

5x  =  3

x  =  3/5

Question 15 :

If A ⊏ ⊐ B  =  AB (A/B) - 23, then what is the value of 3 ⊏ ⊐ (6 ⊏ ⊐ 2)

Solution :

First let us calculate the value of (6 ⊏ ⊐ 2),

Instead of A we have 6 and instead of B we have 2.

(6 ⊏ ⊐ 2)  =  6(2)(6/2) - 23

=  12(3) - 8

=  36 - 8

(6 ⊏ ⊐ 2)  =  28

3 ⊏ ⊐ 28  =  3(28) (3/28) - 23

=  84(3/28) - 8

=  3(3) - 8

=  9 - 8

=  1

Question 16 :

If the average of 11 numbers is 15, then what is the sum of these 11 numbers ?

Solution :

Average of 11 numbers  =  15

Sum of 11 numbers / 11  =  15

Sum of 11 numbers  =  15 (11)  =  165.

Hence the required answer is 165.

Question 17 :

What is the average of (9b - 7) + (7 - 3b) - (-3 -3b) + (6 + 3b)

Solution :

=   (9b - 7) + (7 - 3b) - (-3 -3b) + (6 + 3b)

=  9b - 7 + 7 - 3b + 3 + 3b + 6 + 3b

=  9b + 3b + 9

=  12 b + 9

Average of four terms  =  (12b + 9)/4

=  3b + 9/4

Question 18 :

(y-1⋅y3⋅y4⋅y5⋅y6) / (y6⋅y5⋅y4)

Solution :

=  y-1 ⋅y3

=  y (-1 + 3)

=  y2

Question 19 :

If the pattern continues, what will be the 50th symbol ? Solution :

Each group consists of 6 different symbols and it ends with the symbol upside arrow.

Let us divide 50 by 6, we get the remainder 2. Hence the 50th place should be filled with the symbol heart.

Question 20 :

A trapezoid has base length in the ratio of 2 : 6. If the area of a trapezoid is 260 and altitude is 5, then what is the length of longer side ?

Solution :

Area of trapezoid  =  (1/2) ⋅  (a + b)

Here, a  =  2x, b = 6x and altitude (h)  =  5

(1/2)  5  (2x + 6x)  =  260

(5/2)(8x)  =  260

x  =  260/20

x  =  13

2x  =  2(13)  =  26, 6x  =  6(13)  =  78

Hence the longer side is 78. 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 practice problems on SHSAT exams.

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

You can also visit the 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 