# 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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