**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

**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 = s^{2}h, 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 = s^{2}h ---(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 = 4s^{2} (3h)

V = 12s^{2} 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.

So the answer is 8.

After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Practice Math Test".

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

Widget is loading comments...

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 **

**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**

**Markup and markdown word problems **

**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**

**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**