FREE SHSAT MATH QUESTIONS AND ANSWER

• To find question from 1 to 6, please visit the page "SHSAT Arithmetic Practice".
• To find question from 7 to 10, please visit the page "SHSAT Arithmetic Practice Problems".
• To find question from 11 to 15, please visit the page "Arithmetic Practice Problems With Solutions"

Question 16 :

If s is a positive integer, what is the least value of s for which √(3s/2) is an integer ?

(A)  2  (B)  3  (C)  6  (D)  9  (D)  24

Solution :

Answer C is correct.

Question 17 :

If the value of a house rises by 20 percent, what is the ratio of the increase in the house's value to the new value of the house ?

(A)  1 : 6  (B)  1 : 5  (C)  1 : 4  (D)  2 : 5  (E)  2 : 3

Solution :

Increase = 20%

New value of house after increment  =  100 + 20 = 120%

  =  20 : 120

  =  2/12

  =  1/6

  =  1 : 6

Question 18 :

A car travels 60 kilometers in one hour before a piston breaks, then travels at 30 kilometers per hour for the remaining 60 kilometers to its destination. What is the car's average speed in kilometers per hour for the entire trip ?

(A)  20  (B)  40  (C)  45  (D)  50

Solution :

Distance covered by car before piston breaks

   =  60 kilometer

After piston breaks, car is travelling another 60 kilometers by taking the speed of 30 kilometer per hour

Entire distance covered  =  60 + 60  =  120  

Time taken to cover the distance  =  1 + 2  =  3

  =   120/3

  =  40 km/hr

Hence the average speed is 40 km/hr

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