**SHSAT Math Sample Test Questions**

Here we are going to see some practice questions questions for SHSAT exams.

**Question 1 :**

If p = -3 and q = 2, what is the value of p^{2} – (q – p)?

**Solution :**

Given statement :

= p^{2} – (q – p)

By applying the value of p and q in the above expression, we get

= (-3)^{2} – (2 – (-3))

= 9 – (2 + 3)

= 9 - 5

= 4

**Question 2 :**

What is the area of triangle ABC?

**Solution :**

= (1/2) [(30 + 6 + 84) - (24 + 21 + 30)]

= (1/2)[120 - 75]

= (1/2) (45)

= 22.5

Hence the answer is 22 ½ square units.

**Question 3 :**

If (64/(x-8)) + 7 = 11, what is the value of (64/(x-8)) ?

**Solution :**

**(64/(x-8)) + 7 = 11**

**Subtract 7 on both sides**

**(64/(x-8)) = 11 - 7**

**(64/(x-8)) = 4 **

**Hence the value of ****(64/(x-8)) is 4 .**

**Question 4 :**

If the diameter of a circle is 6.4 x 10^{8}, then the radius of
the circle is

**Solution :**

Diameter of a circle = 6.4 x 10^{8}

Radius of the circle = (6.4 x 10^{8} )/2

= 3.2 x 10^{8}

Hence the radius of the circle is 3.2 x 10^{8}.

**Question 5 :**

When 1/11 is expressed as a decimal, what
digit appears in the 16^{th} place to the right of the decimal point?

**Solution :**

1/11 = 0.0909.....

The number at the 4th place is 9, since 16 is the multiple of 4, 9 will appear in the 16th place.

**Question 6 :**

(7)(6) – 6 =

**Solution :**

= (7)(6) – 6

= 42 - 6

= 36

Hence the answer is 36.

**Question 7 :**

Fred and Michael collected money for the school trip. Fred collected 50% more than Michael. If Michael collected $150, how much did Fred and Michael collect all together?

**Solution :**

Let "x" be the money collected by Michael.

Money collected by Fred = x + 50% of x

= x + x/2

= 3x/2

Michael collected $150

Money collected by Fred = 3(150)/2

= 3(75)

= 225

Money collected by Fred and Michael = 150 + 225

= $375

**Question 8 :**

5.835 x 10^{4 }is equal to

**Solution :**

= 5.835 x 10^{4}

Since we have positive power, we have to move the decimal 4 digits to the right side.

= 58350

Hence the answer is 58350.

**Question 9 :**

What is the value of |x - y| + |y – x| if x = 9 and y = 2x?

**Solution :**

**|x - y| + |y – x| if x = 9 and y = 2x**

**y = 2x**

By applying the value of x, we get the value of y.

y = 2(9) = 18

**= |x - y| + |y – x| **

**= ****|9 - 18| + |18 – 9| **

**= |-9| + |9|**

**= 9 + 9**

**= 18**

**Hence the answer is 18.**

**Question 10 :**

When 54 is divided by the positive integer N, the quotient is 13 and the remainder is R. The value of R is

**Solution :**

Division algorithm :

Dividend = Divisor ⋅ quotient + Remainder

54 = N ⋅ 13 + R

13 (4) = 52

By dividing 54 by 4, we get 13 as quotient and 2 as remainder.

Hence the required remainder is 2.

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

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

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM 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**

**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**