**SHSAT Math Test with Answers :**

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

SHSAT Math Test with Answers

To find questions from 1 to 5, please visit the page "SHSAT Math Practice for 9th Graders"

**Question 6 :**

(16 + 5x) – (8 – 2x) =

(A) 8 + 3x (B) 8 - 3x (C) 8 - 7x

(D) 8 + 7x (E) 24 - 7x

**Solution :**

** = (16 + 5x) – (8 – 2x)**

** = 16 + 5x - 8 + 2x**

** = 8 + 7x**

**Hence the answer is 8 + 7x.**

**Question 7 :**

The three lines shown intersect in a point. The value of x

(A) is 100. (B) is 80. (C) is 50. (D) is 20.

(E) cannot be determined from the given information

**Solution :**

x + 60 + 40 = 180

x + 100 = 180

x = 180 - 100

x = 80

Hence the required angle is 80.

**Question 8 :**

The straight line graph shows how many people are in a large cafeteria eating lunch at different times. If the people leave at a steady rate, at what time will only 150 people remain?

(A) 1:15 P.M. (B) 1:30 P.M. (C) 1:45 P.M.

(D) 2:15 P.M. (E) 3:30 P.M.

**Solution** :

For every half an hour, we are losing 100 people

At 1 : 00 PM 300 people will remain, at 1 : 15 PM 350 people will remain.

**Question 9 :**

Two congruent circles have centers P and Q as shown. What is the measure of angle PXQ?

(A) 30° (B) 45° (C) 55° (D) 60° (E) 75°

**Solution :**

Here PX is radius of the first circle, QX is the radius of the second circle. PQ is the distance between two centers.

PX = PQ = QX

Hence the required angle 60°.

**Question 10 :**

Andrew has d dollars. He has one-third as many dollars as Bruce has. Carlos has $80 less than half the total of Andrew’s and Bruce’s dollars. In terms of d, how many dollars does Carlos have?

(A) 4d – 40 (B) 2d – 40 (C) 2d + 40

(D) 2d + 80 (E) 2d – 80

**Solution :**

**Andrew has d dollars. **

**Bruce has 3d dollars**

**Number of dollars that Carlos has = (1/2)(d + 3d) - 80**

** = (1/2) 4d - 80**

** = 2d - 80**

**Hence the answer is 2d - 80.**

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