WGU C955 Applied Probability and Statistics | Objective
Assessment (OA) | 2025 | Complete Test Bank with Correct
Answers
SECTION 1: BASIC NUMERACY & ALGEBRAIC
FOUNDATIONS (Questions 1–30)
Question 1. What is 34÷2343÷32?
A. 9889
B. 512125
C. 5775
D. 6776
Correct Answer: A. 9889
Rationale: Dividing by a fraction is equivalent to multiplying by its reciprocal:
34×32=9843×23=89. This is a foundational fraction operation tested on the C955 OA.
Question 2. A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles.
What is the total length of the paths?
A. 9.02 miles
B. 10.02 miles
C. 10.12 miles
D. 11.2 miles
Correct Answer: B. 10.02 miles
Rationale: 1.05+3.6+3.17+2.2=10.021.05+3.6+3.17+2.2=10.02. Careful decimal
alignment is essential when summing mixed-precision values.
,Question 3. If there are 2 tablespoons in 1 fluid ounce, how many tablespoons does
4 fl oz−1.5 tbsp4 fl oz−1.5 tbsp yield?
A. 0.5 tbsp
B. 1 tbsp
C. 2.5 tbsp
D. 6.5 tbsp
Correct Answer: D. 6.5 tbsp
Rationale: 4 fl oz=8 tbsp4 fl oz=8 tbsp. 8−1.5=6.5 tbsp8−1.5=6.5 tbsp. Unit
conversion followed by subtraction is a common applied numeracy skill.
Question 4. Solve for XX: X−54=23X−45=32.
A. 312123
B. 712127
C. 10121210
D. 23121223
Correct Answer: D. 23121223
Rationale: X=23+54X=32+45. Common denominator 12: 812+1512=2312128+1215
=1223.
Question 5. Solve for XX: X+53=23X+35=32.
A. −3−3
B. −1−1
C. 11
D. 33
Correct Answer: B. −1−1
Rationale: X=23−53=−33=−1X=32−35=−33=−1.
,Question 6. Given the inequality 2y+6>202y+6>20, which is the solution?
A. y<3y<3
B. y>6y>6
C. y>7y>7
D. y<7y<7
Correct Answer: C. y>7y>7
Rationale: 2y>14⇒y>72y>14⇒y>7. Solving linear inequalities is part of the algebraic
foundations domain.
Question 7. Which graph represents y<8y<8?
A. Unfilled circle on 8, arrow pointing left
B. Filled circle on 8, arrow pointing left
C. Unfilled circle on 8, arrow pointing right
D. Filled circle on 8, arrow pointing right
Correct Answer: A. Unfilled circle on 8, arrow pointing left
Rationale: "Less than" uses an open (unfilled) circle, and the solution set includes all
values less than 8, so the arrow points left.
Question 8. Which graph is the solution for 4y−6>184y−6>18?
A. y>4y>4
B. y>6y>6
C. y<4y<4
D. y<6y<6
Correct Answer: B. y>6y>6
, Rationale: 4y>24⇒y>64y>24⇒y>6.
Question 9. What is the correct line graph for y=3x+5y=3x+5?
A. (0,5)(0,5) to (2,11)(2,11)
B. (0,−5)(0,−5) to (2,−11)(2,−11)
C. (0,3)(0,3) to (2,5)(2,5)
D. (0,3)(0,3) to (2,−7)(2,−7)
Correct Answer: A. (0,5)(0,5) to (2,11)(2,11)
Rationale: At x=0x=0, y=5y=5. At x=2x=2, y=11y=11. The line passes through
(0,5)(0,5) and (2,11)(2,11), consistent with slope 3 and y-intercept 5.
Question 10. What is the correct line graph for y=−2x+9y=−2x+9?
A. (0,9)(0,9) to (4.5,0)(4.5,0)
B. (0,9)(0,9) to (3,0)(3,0)
C. (0,−9)(0,−9) to (5,−19)(5,−19)
D. (0,−9)(0,−9) to (5,−24)(5,−24)
Correct Answer: A. (0,9)(0,9) to (4.5,0)(4.5,0)
Rationale: y-intercept is 9. Setting y=0y=0: 0=−2x+9⇒x=4.50=−2x+9⇒x=4.5. The
line crosses the x-axis at 4.5.
Question 11. Simplify: 25+1352+31.
A. 3883
B. 11151511
C. 315153
D. 215152
Assessment (OA) | 2025 | Complete Test Bank with Correct
Answers
SECTION 1: BASIC NUMERACY & ALGEBRAIC
FOUNDATIONS (Questions 1–30)
Question 1. What is 34÷2343÷32?
A. 9889
B. 512125
C. 5775
D. 6776
Correct Answer: A. 9889
Rationale: Dividing by a fraction is equivalent to multiplying by its reciprocal:
34×32=9843×23=89. This is a foundational fraction operation tested on the C955 OA.
Question 2. A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2 miles.
What is the total length of the paths?
A. 9.02 miles
B. 10.02 miles
C. 10.12 miles
D. 11.2 miles
Correct Answer: B. 10.02 miles
Rationale: 1.05+3.6+3.17+2.2=10.021.05+3.6+3.17+2.2=10.02. Careful decimal
alignment is essential when summing mixed-precision values.
,Question 3. If there are 2 tablespoons in 1 fluid ounce, how many tablespoons does
4 fl oz−1.5 tbsp4 fl oz−1.5 tbsp yield?
A. 0.5 tbsp
B. 1 tbsp
C. 2.5 tbsp
D. 6.5 tbsp
Correct Answer: D. 6.5 tbsp
Rationale: 4 fl oz=8 tbsp4 fl oz=8 tbsp. 8−1.5=6.5 tbsp8−1.5=6.5 tbsp. Unit
conversion followed by subtraction is a common applied numeracy skill.
Question 4. Solve for XX: X−54=23X−45=32.
A. 312123
B. 712127
C. 10121210
D. 23121223
Correct Answer: D. 23121223
Rationale: X=23+54X=32+45. Common denominator 12: 812+1512=2312128+1215
=1223.
Question 5. Solve for XX: X+53=23X+35=32.
A. −3−3
B. −1−1
C. 11
D. 33
Correct Answer: B. −1−1
Rationale: X=23−53=−33=−1X=32−35=−33=−1.
,Question 6. Given the inequality 2y+6>202y+6>20, which is the solution?
A. y<3y<3
B. y>6y>6
C. y>7y>7
D. y<7y<7
Correct Answer: C. y>7y>7
Rationale: 2y>14⇒y>72y>14⇒y>7. Solving linear inequalities is part of the algebraic
foundations domain.
Question 7. Which graph represents y<8y<8?
A. Unfilled circle on 8, arrow pointing left
B. Filled circle on 8, arrow pointing left
C. Unfilled circle on 8, arrow pointing right
D. Filled circle on 8, arrow pointing right
Correct Answer: A. Unfilled circle on 8, arrow pointing left
Rationale: "Less than" uses an open (unfilled) circle, and the solution set includes all
values less than 8, so the arrow points left.
Question 8. Which graph is the solution for 4y−6>184y−6>18?
A. y>4y>4
B. y>6y>6
C. y<4y<4
D. y<6y<6
Correct Answer: B. y>6y>6
, Rationale: 4y>24⇒y>64y>24⇒y>6.
Question 9. What is the correct line graph for y=3x+5y=3x+5?
A. (0,5)(0,5) to (2,11)(2,11)
B. (0,−5)(0,−5) to (2,−11)(2,−11)
C. (0,3)(0,3) to (2,5)(2,5)
D. (0,3)(0,3) to (2,−7)(2,−7)
Correct Answer: A. (0,5)(0,5) to (2,11)(2,11)
Rationale: At x=0x=0, y=5y=5. At x=2x=2, y=11y=11. The line passes through
(0,5)(0,5) and (2,11)(2,11), consistent with slope 3 and y-intercept 5.
Question 10. What is the correct line graph for y=−2x+9y=−2x+9?
A. (0,9)(0,9) to (4.5,0)(4.5,0)
B. (0,9)(0,9) to (3,0)(3,0)
C. (0,−9)(0,−9) to (5,−19)(5,−19)
D. (0,−9)(0,−9) to (5,−24)(5,−24)
Correct Answer: A. (0,9)(0,9) to (4.5,0)(4.5,0)
Rationale: y-intercept is 9. Setting y=0y=0: 0=−2x+9⇒x=4.50=−2x+9⇒x=4.5. The
line crosses the x-axis at 4.5.
Question 11. Simplify: 25+1352+31.
A. 3883
B. 11151511
C. 315153
D. 215152
