SHSAT ARITHMETIC PRACTICE PROBLEMS

To find question from 1 to 6, please visit the page "SHSAT Arithmetic Practice".

Question 7 :

Which of the following is not less than 0.25 ?

(A)  2/9  (B)  3/14  (C)  16/64  (D)  19/80  (E)  2/9

Solution :

To find the number which is not less than 0.25, first let us convert the given decimal to fraction.

0.25  =  0.25 ⋅ (100/100) 

   =  25/100  =  1/4

By simplifying 16/64, we get 1/4.

Hence 16/64 is not less than 0.25.

Question 8 : 

If the average of 5 consecutive odd numbers is 11 then the largest number is.

(A)  17   (B)  15  (C)  13  (D)  11  (E)  9

Solution :

The average of 5 consecutive odd numbers = 11

Let "x" be the odd number, four consecutive odd numbers are x + 2, x + 4, x + 6, x + 8

(x + x + 2 + x + 4 + x + 6 + x + 8)/5  =  11

(5x + 20)  =  55

5x  =  55 - 20

5x  =  35

x  =  7

The largest integer odd integer is x + 8

x + 8  =  15

Hence 15 is the largest odd integer.

Question 9 :

If r is an even integer, and s is an odd integer which of the following must be true ?

I  r(r + s) is even  

II  s² - r is odd

III  3r + 2s is odd

(A)  None  (B)  I and II only  (C)  I and III only

(D)  II and III only  (E)  I, II and III.

Solution :

I  r(r + s) is even  :

r = even, s = odd

r + s  =  even + odd  =  odd

r(r + s)  =  even (odd)  = even (true)

II  s² - r is odd :

odd² - even =  odd - even  =  odd (true)

III  3r + 2s is odd :

3(even) + 2(odd)  =  even + even  =  even (false)

Hence the answer is I and II.

Question 10 :

Points W, X, Y and Z all lie on the same line such that X lies between Y and Z, and W lies between X and Y, which of the following 

I  W is between X and Z.

II  Y is between W and X.

III  X is between W and Z.

(A)    None  (B)  I only  (C)  II only 

(D)  III only  (E)  II and III

Solution :

X lies between Y and Z.

W lies between X and Y.

Hence the answer is option D.

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