A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 4, AB = 5 and AC = 11, what is the length of AE?
(a) 21.
(b) 26.
(c) 30.
(d) 18.
(e) 16.

The best answer is D.
First, draw the line and the points.
In order to find the length of AE, find the length of CD and BC first.
BC = AC – AB = 11 – 5 = 6.
BC = 2CD CD = 3.
AE = 5 + 6 + 3 + 4 = 18.


In a rectangular axis system, what is the distance between the following
points: A(3,2) and B(7,5) ?
(a) 5.
(b) 7.
(c) 6.
(d) 4.
(e) 3.

The best answer is A.
First, draw a rectangular axis system and mark the two points.
The easiest way to find the distance between them is to draw a triangle, where the line AB is the hypotenuse. You can see that the length of one side of the triangle is (5-2=3) and the other side is (7-3=4). The length of the line AB is received with the help
Of the Pythagoras principle:   = 5.