SHSAT MATH PRACTICE TEST ONLINE FREE

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SHSAT Math Practice Test Online Free

Question 16 :

Barbara is 7 years older than Carole is now.  Katie is half as old as Carole is now.  If Katie is now 16 years old, how many years old is Barbara now?

(A)  15  (B)  23  (C)  32  (D)  39  (E)  46

Solution :

Let "x" be Carole's age

Age of Barbara  =  x + 7

Age of Katie  =  x/2

x/2  =  16

x  =  32

Age of Barbara  =  32 + 7  =  39 years

Question 17 :

3.4 x 10² + 3.4 x 10² is equal to

(A)  6.8 x 10²  (B)  6.8 x 10⁴  (C)  3.4 x 10⁴ 

(D)  3,400  (E)  3,434

Solution :

  =   3.4 x 10² + 3.4 x 10²

  =  3.4 x 100 + 3.4 x 100

  =  340 + 340 

  =  680

  =  6.8 x 10²

Question 18 :

The points S, P, Q, and R are on the sides of rectangle ABCD such that SQ is perpendicular to PR.  APXS is a square whose side is 3.  The area of SXRD is 12 and the area of PBQX is 27.  What is the perimeter of rectangle ABCD?

(A)  84  (B)  72  (C)  38  (D)  36  (E)  18

Solution :

Area of SXRD  =  12

length ⋅ width  =  12

SD ⋅ SX  =  12

SD ⋅ 3 =  12

SD  =  4

Area of PBQX  =  27

length ⋅ width  =  27

PB ⋅ PX  =  27

PB ⋅ 3 =  27

PB  =  9

Length of rectangle ABCD  =  AP + PB  =  3 + 9  =  12

Width of rectangle  =  AS + SD  =  3 + 4  =  7

Area of rectangle ABCD  =  12 ⋅ 7

  =  84

Question 19 :

Kobi has $9.83, made up of nickels and pennies only.  Which of the following could not be a possible value for the number of pennies?

(A)  208  (B)  113  (C)  93  (D)  88  (E)  85

Solution :

The long difference between $9.83 and the number of pennies is a multiple of 5, that difference can be made up with nickles. Only 85 pennies will not work.

Question 20 :

If (2x – 3) / 4 = 8, then 2x + 3 =

(A)  41  (B)  38  (C)  35  (D)  29  (E)  28

Solution :

 (2x – 3) / 4 = 8

2x - 3  =  32

2x  =  35

x  =  35/2

2x + 3  =  2 (35/2) + 3

  =  35 + 3

  =  38

Hence 38 is the answer.

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