Arithmetic Practice Problems With Solutions :
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".
To find question from 7 to 10, please visit the page "SHSAT Arithmetic Practice Problems".
Question 11 :
If u-4 = 16, what is one possible value of u ?
(A) 4 (B) 2 (C) 1 (D) 1/2 (E) 1/4
u-4 = 16
u-4 = 24
u4 = 1/24
u = 1/2
Hence the value of u is 1/2.
Question 12 :
If a kilogram is equal to approximately 2.2 pounds, which of the following is the best approximation of the number of kilograms in one pound ?
(A) 11/5 (B) 5/8 (C) 5/11 (D) 1/3 (E) 1/5
To get rid of decimals in a fraction, multiply the top and bottom by the smaller power of 10 we can.
If you need to move a decimal over 2 places, multiply the top and bottom by 100.
1 kilogram/2.2 pounds = x kilograms/1 pound
x = 1/2.2 = 10/22 = 5/11
Hence the answer is 5/11.
Question 13 :
If r is positive, and p is negative, which of the following must be negative ?
(A) rp + 2 (B) - |rp| (C) r2p2 - 10
(D) -(r + p)2 (E) (r + p)3
Let us take option B, -|rp|
By multiplying positive and negative number, we get negative number. But the negative is in absolute sign, the answer will be positive.
In front of |rp|, we have negative sign. So the final answer will always be negative.
Question 14 :
If a is a positive integer, then what is the value of 5a + 5a + 1 ?
(A) 6a (B) 5a - 1 (C) 52a + 1 (D) (5a)a - 1 (E) 6(5a)
= 5a + 5a + 1
= 5a + 5a ⋅ 5
= 5a(1 + 5)
= 5a ⋅ 6
Question 15 :
X, Y and Z are points on a line in that order. XY is 20, and YZ is 15 more than XY. What is XZ ?
(A) 25 (B) 35 (C) 45 (D) 55 (E) 65
XY = 20
YZ = 15 + 20 = 35
From this, we come to know that Y lies between X and Z
XZ = XY + YZ
= 20 + 35
Hence the answer is 55.
After having gone through the stuff given above, we hope that the students would have understood, "Arithmetic Practice Problems With Solutions".
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