**SHSAT Practice Test Answers :**

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.

**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.

Hence the answer is Sunday.

**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 = πr^{2}/2

= 4(πr^{2}/2) = 2 πr^{2}

= 2π(6)^{2}

= 2π(36)

= 72π

Hence the answer is 72π.

**Question 14 :**

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

**Solution :**

8 ^{x + 3} = 64 ^{3x}

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

8 ^{x + 3} = (8^{2}) ^{3x}

8 ^{x + 3} = 8 ^{6x}

6x = x + 3

6x - x = 3

5x = 3

x = 3/5

**Question 15 :**

If A ⊏ ⊐ B = AB (A/B) - 2^{3}, 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) - 2^{3}

= 12(3) - 8

= 36 - 8

(6 ⊏ ⊐ 2) = 28

3 ⊏ ⊐ 28 = 3(28) (3/28) - 2^{3}

= 84(3/28) - 8

= 3(3) - 8

= 9 - 8

= 1

Hence the answer is 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}⋅y^{3}⋅y^{4}⋅y^{5}⋅y^{6}) / (y^{6}⋅y^{5}⋅y^{4})

**Solution :**

= y^{-1 }⋅y^{3}

= y ^{(-1 + 3)}

= y^{2}

Hence the answer is y^{2.}

**Question 19 :**

If the pattern continues, what will be the 50^{th} 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 50^{th} 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) ⋅ h ⋅ (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.

HTML Comment Box is loading comments...

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 **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**