**SHSAT Math Free Test Online :**

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

To find the questions from 1 to 5, please visit the page "SHSAT Math Sample Test with Answer"

To find the questions from 6 to 10, please visit the page "SHSAT Math Test Online"

SHSAT Math Test Online.

**Question 1 :**

One-half of one-sixth is equal to

(A) one-third of one-fourth (B) one-third

(C) one (D) two (E) three

**Solution :**

**Given that :**

**One-half of one-sixth is equal to**

** = (1/2) **⋅ (1/6)

= 1/12

One third of one fourth is the answer.

**Question 12 :**

The areas of triangles ABC and XYZ are each 10. The area of the shaded region is 14. Then the area of triangle XWC is

(A) 12 (B) 8 (C) 6 (D) 3 (E) 2

**Solution :**

Area of triangle ABC = 10

Area of XYZ = 10

Area of shaded region = 14

Area of ABC + Area of XYZ = 10 + 10 = 20

Overlapping area = 20 - 14 = 6

**Question 13 :**

1 1/10 + 2 11/100 + 3 111/1000 (mixed fractions) =

(A) 6.111 (B) 6.123 (C) 6.111111 (D) 6.321 (E) 6.6

**Solution :**

** = 11/10 + 211/100 + 3111/1000**

** = 1.1 + 2.11 + 3.111**

** = 6.321**

**Hence the answer is 6.321.**

**Question 14 :**

If x is positive and x^{2} + x = 50, then x is a number between

(A) 6 and 7 (B) 7 and 8 (C) 8 and 9

(D) 9 and 10 (E) 10 and 11

**Solution :**

**x ^{2} + x = 50**

Let us apply the first option, in the question

**6 ^{2} + 6 = 42**

**7 ^{2} + 7 = 56**

**50 lies between 42 and 56.**

**Hence the value of x lies between 6 and 7.**

**Question 15 :**

In the figure, C is a point on line segment AE. If AB = BC, what is the measure of angle DCE?

(A) 80° (B) 75° (C) 60° (D) 25° (E) 20°

**Solution :**

AB = BC = y

In triangle ABC,

<BAC + <ACB + <CBA = 180

y + y + 20 = 180

2y = 160

y = 80

<ACB + x + 3x = 180

80 + 4x = 180

4x = 100

x = 25

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