WGU C992 Practice Questions: Mathematics for IT &
Data Analytics – 200 Questions with Answers
1. The slope of the line passing through (1,2) and (4,8) is:
A) 2
B) 3
C) 6
D) 1
Answer: A
Slope = (8−2)/(4−1) = 6/3 = 2. The slope shows the line rises 2 units vertically for each 1 unit
horizontally.
2. Midpoint of (−2,5) and (4,1) is:
A) (1,3)
B) (0,3)
C) (2,2)
D) (−1,3)
Answer: A
Midpoint = ((−2+4)/2, (5+1)/2) = (2/2,6/2) = (1,3). The midpoint is exactly in the center of the
segment.
3. Distance between (3,−2) and (−1,2) is:
A) √32
B) √16
C) 4
D) 6
Answer: A
Distance = √[(−1−3)² + (2−(−2))²] = √(−4)² + 4² = √(16+16)=√32. This gives the length of the
segment connecting the points.
4. Triangle with sides 8,8,12 is:
A) Scalene
B) Equilateral
C) Isosceles
D) Right
Answer: C
Two sides are equal → isosceles. The unequal side does not change the type.
5. Which slope is negative?
A) 1/2
B) 0
C) −3
,D) 2
Answer: C
A negative slope falls left to right. The line decreases in y as x increases.
6. The y-intercept of y = 5x − 7 is:
A) (0,5)
B) (0,−7)
C) (−7,0)
D) (7,0)
Answer: B
Set x=0 → y = −7. The line crosses the y-axis at (0,−7).
7. Midpoint of (0,−3) and (6,3) is:
A) (3,0)
B) (3,3)
C) (0,0)
D) (6,0)
Answer: A
Midpoint = ((0+6)/2, (−3+3)/2) = (3,0). This is the exact center of the segment.
8. Triangle with vertices (0,0), (5,0), (0,12) is:
A) Equilateral
B) Right
C) Isosceles
D) Scalene
Answer: B
Slopes: (0,0)–(5,0)=0, (0,0)–(0,12)=undefined → perpendicular → right triangle.
9. Distance between (−2,−1) and (1,3) is:
A) 5
B) √25
C) Both A and B
D) 4
Answer: C
Distance = √[(1+2)² + (3+1)²] = √(3²+4²) = √25 = 5. Both options represent the same distance.
10. Which line is vertical?
A) y = 3
B) x = −2
C) y = −x + 1
D) y = 2x + 5
Answer: B
Vertical line → x = constant. The slope is undefined.
11. Slope of horizontal line passing through (2,5) and (6,5) is:
A) 0
,B) 1
C) Undefined
D) −1
Answer: A
Horizontal line → slope = 0. The line does not rise or fall.
12. Slope of line passing through (−1,−2) and (3,2) is:
A) 1
B) 2
C) 3
D) 4
Answer: A
Slope = (2−(−2))/(3−(−1)) = 4/4 = 1. The line rises 1 unit vertically for each 1 unit horizontally.
13. Midpoint of (−4,−5) and (2,3) is:
A) (−1,−1)
B) (−1,−2)
C) (−3,−1)
D) (−2,−1)
Answer: A
Midpoint = ((−4+2)/2, (−5+3)/2) = (−1,−1). This is the exact center of the segment.
14. Triangle with sides 9,12,15 is:
A) Equilateral
B) Right
C) Isosceles
D) Scalene
Answer: B
Check Pythagoras: 9²+12²=81+144=225=15² → right triangle.
15. Which slope indicates a line rising left to right?
A) Negative
B) 0
C) Positive
D) Undefined
Answer: C
Positive slope → line rises. Increasing x increases y.
16. A line has equation y = −2x + 6. What is its slope?
A) 6
B) −2
C) 2
D) −6
Answer: B
Slope = coefficient of x → −2. The line falls as x increases.
, 17. Midpoint of (1,1) and (7,5) is:
A) (4,3)
B) (3,3)
C) (4,2)
D) (5,3)
Answer: A
Midpoint = ((1+7)/2, (1+5)/2) = (4,3). The center divides the segment into equal parts.
18. Distance between (−3,0) and (3,4) is:
A) √40
B) 6
C) √25
D) 5
Answer: None of the above / √52
Distance = √[(3−(−3))² + (4−0)²] = √(6²+4²) = √52 ≈ 7.21.
19. Triangle with sides 6,8,10 is:
A) Right
B) Isosceles
C) Equilateral
D) Scalene
Answer: A
Check Pythagoras: 6²+8²=36+64=100=10² → right triangle.
20. Slope of line perpendicular to y = 1/3x − 2 is:
A) 3
B) −3
C) 1/3
D) −1/3
Answer: B
Perpendicular slope = negative reciprocal of 1/3 → −3.
21. Slope of line passing through (2,3) and (5,15) is:
A) 4
B) 5
C) 6
D) 3
Answer: A
Slope = (15−3)/(5−2) = 12/3 = 4.
22. Midpoint of (−6,2) and (4,8) is:
A) (−1,5)
B) (−1,4)
C) (0,5)
D) (−2,4)
Data Analytics – 200 Questions with Answers
1. The slope of the line passing through (1,2) and (4,8) is:
A) 2
B) 3
C) 6
D) 1
Answer: A
Slope = (8−2)/(4−1) = 6/3 = 2. The slope shows the line rises 2 units vertically for each 1 unit
horizontally.
2. Midpoint of (−2,5) and (4,1) is:
A) (1,3)
B) (0,3)
C) (2,2)
D) (−1,3)
Answer: A
Midpoint = ((−2+4)/2, (5+1)/2) = (2/2,6/2) = (1,3). The midpoint is exactly in the center of the
segment.
3. Distance between (3,−2) and (−1,2) is:
A) √32
B) √16
C) 4
D) 6
Answer: A
Distance = √[(−1−3)² + (2−(−2))²] = √(−4)² + 4² = √(16+16)=√32. This gives the length of the
segment connecting the points.
4. Triangle with sides 8,8,12 is:
A) Scalene
B) Equilateral
C) Isosceles
D) Right
Answer: C
Two sides are equal → isosceles. The unequal side does not change the type.
5. Which slope is negative?
A) 1/2
B) 0
C) −3
,D) 2
Answer: C
A negative slope falls left to right. The line decreases in y as x increases.
6. The y-intercept of y = 5x − 7 is:
A) (0,5)
B) (0,−7)
C) (−7,0)
D) (7,0)
Answer: B
Set x=0 → y = −7. The line crosses the y-axis at (0,−7).
7. Midpoint of (0,−3) and (6,3) is:
A) (3,0)
B) (3,3)
C) (0,0)
D) (6,0)
Answer: A
Midpoint = ((0+6)/2, (−3+3)/2) = (3,0). This is the exact center of the segment.
8. Triangle with vertices (0,0), (5,0), (0,12) is:
A) Equilateral
B) Right
C) Isosceles
D) Scalene
Answer: B
Slopes: (0,0)–(5,0)=0, (0,0)–(0,12)=undefined → perpendicular → right triangle.
9. Distance between (−2,−1) and (1,3) is:
A) 5
B) √25
C) Both A and B
D) 4
Answer: C
Distance = √[(1+2)² + (3+1)²] = √(3²+4²) = √25 = 5. Both options represent the same distance.
10. Which line is vertical?
A) y = 3
B) x = −2
C) y = −x + 1
D) y = 2x + 5
Answer: B
Vertical line → x = constant. The slope is undefined.
11. Slope of horizontal line passing through (2,5) and (6,5) is:
A) 0
,B) 1
C) Undefined
D) −1
Answer: A
Horizontal line → slope = 0. The line does not rise or fall.
12. Slope of line passing through (−1,−2) and (3,2) is:
A) 1
B) 2
C) 3
D) 4
Answer: A
Slope = (2−(−2))/(3−(−1)) = 4/4 = 1. The line rises 1 unit vertically for each 1 unit horizontally.
13. Midpoint of (−4,−5) and (2,3) is:
A) (−1,−1)
B) (−1,−2)
C) (−3,−1)
D) (−2,−1)
Answer: A
Midpoint = ((−4+2)/2, (−5+3)/2) = (−1,−1). This is the exact center of the segment.
14. Triangle with sides 9,12,15 is:
A) Equilateral
B) Right
C) Isosceles
D) Scalene
Answer: B
Check Pythagoras: 9²+12²=81+144=225=15² → right triangle.
15. Which slope indicates a line rising left to right?
A) Negative
B) 0
C) Positive
D) Undefined
Answer: C
Positive slope → line rises. Increasing x increases y.
16. A line has equation y = −2x + 6. What is its slope?
A) 6
B) −2
C) 2
D) −6
Answer: B
Slope = coefficient of x → −2. The line falls as x increases.
, 17. Midpoint of (1,1) and (7,5) is:
A) (4,3)
B) (3,3)
C) (4,2)
D) (5,3)
Answer: A
Midpoint = ((1+7)/2, (1+5)/2) = (4,3). The center divides the segment into equal parts.
18. Distance between (−3,0) and (3,4) is:
A) √40
B) 6
C) √25
D) 5
Answer: None of the above / √52
Distance = √[(3−(−3))² + (4−0)²] = √(6²+4²) = √52 ≈ 7.21.
19. Triangle with sides 6,8,10 is:
A) Right
B) Isosceles
C) Equilateral
D) Scalene
Answer: A
Check Pythagoras: 6²+8²=36+64=100=10² → right triangle.
20. Slope of line perpendicular to y = 1/3x − 2 is:
A) 3
B) −3
C) 1/3
D) −1/3
Answer: B
Perpendicular slope = negative reciprocal of 1/3 → −3.
21. Slope of line passing through (2,3) and (5,15) is:
A) 4
B) 5
C) 6
D) 3
Answer: A
Slope = (15−3)/(5−2) = 12/3 = 4.
22. Midpoint of (−6,2) and (4,8) is:
A) (−1,5)
B) (−1,4)
C) (0,5)
D) (−2,4)
