Mathematics Questions
Directions:

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1. In the following figure, ABCD is a square with line AB of lengths 6 units. Points C, D, and E     are collinear. If angle AEC measues 45 degrees, what is the length of line EA in units?

(a) 6

(b) 6 * 2½

(c) 12

(d) 6 * 2½

(e) cannot be determined from the given information.

2. A survery of 50 adults found that 38 of the adults were registered to vote. Exactly 5 of the women were not registered to vote. There were 30 men surveyed how many of these men were registered to vote?

(a) 7

(b) 13

(c) 15

(d) 19

(e) 23

3. If 6x - 4y = 8 and 2x - 3y = 4 are equations that represent adjacent sides AB and AD of quadrilateral ABCD, what are the (x,y) coordinates of vertex A?

(a) ( -4/13, -20/13 )

(b) ( 8, 4 )

(c) ( 32/13, 4/13 )

(d) ( 28/5, 12/5 )

(e) ( 4/5, -4/5 )

4. When N dollar bills are divided equally among 7 people, there is a remainder of $3. What is the remainder when (N + 5) dollar bills are divided equally among 7 people?

(a) $1

(b) $2

(c) $3

(d) $4

(e) $5

5. Which of the following sets contains ONLY divisors of 180

(a) {15, 30, 45, 50}

(b) {6, 12, 20, 24, 36}

(c) {2, 3, 5, 40, 90}

(d) {3, 5, 15, 30, 120}

(e) {2, 3, 5, 6, 15, 45}