SHSAT Arithmetic Practice Problems :
Here we are going to see some practice questions of the math topic "Arithmetic".
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
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
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.
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
X lies between Y and Z.
W lies between X and Y.
Hence the answer is option D.
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