All SAT Math Resources
Example Question #1 : How To Find Value With A Number Line
If the tick marks are equally spaced on the number line above, what is the average (arithmetic mean) of x, y, and z?
First, we must find out by how much they are spaced by. It cannot be 1, since 4(4) = 16, which is too great of a step in the positive direction and exceeds the equal-spacing limit. 2 works perfectly, however, as 4(2) equals 8 and fits in line with the equal spacing.
Next, we can find the values of x and y since we are given a value of 6 for the third tick mark. As such, x (6 – 4) and y (6 – 2) are 2 and 4, respectively.
Finally, z is 4 steps away from y, and since each step has a value of 2, 2(4) = 8, plus the value that y is already at, 8 + 4 = 12 (or can simply count).
Finding the average of all 3 values, we get (2 + 4 + 12)/3 = 18/3 = 6.
Example Question #2 : How To Find Value With A Number Line
How many numbers 1 to 250 inclusive are cubes of integers?
The cubes of integers from 1 to 250 are 1, 8, 27,64,125,216.
Example Question #3 : How To Find Value With A Number Line
On the number line above, the tick marks are equally spaced. Which of the following expresses in terms of ?
If is between and on the number line, then and .
So must be correct because