GenEd Math covers number sense, ratio and proportion, basic algebra, geometry, probability, and statistics — all at a general-knowledge level. Expect word problems with practical contexts.
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Sample questions with answers and explanations
Sample 1
Solve for x in the equation 3(x - 5) = 12.
A4
B9✓
C7
D1
Answer: B
Solve step by step. First, distribute the 3 across the parentheses: 3(x − 5) = 3x − 15. So 3x − 15 = 12. Add 15 to both sides to keep the equation balanced: 3x = 27. Divide both sides by 3: x = 9. Quick check: 3(9 − 5) = 3 × 4 = 12. Correct. Picture a scale — whatever you do to one side, do exactly the same to the other to keep it level.
Why the other choices are wrong
A. Probably from forgetting to add the 15 before dividing.
C. Doesn't satisfy the equation when plugged back in.
D. Result of an arithmetic slip during the division step.
Sample 2
Four mangoes cost ₱29.00. At that price, what will 2 dozen mangoes cost?
A₱145.00
B₱174.00✓
C₱184.00
D₱204.00
Answer: B
The fast way: 2 dozen = 24 mangoes, and 24 ÷ 4 = 6. So you need 6 sets of "4 mangoes for ₱29." That's 6 × ₱29 = ₱174. (You can also do unit price: ₱29 ÷ 4 = ₱7.25 per mango, then ₱7.25 × 24 = ₱174 — same answer, but more arithmetic.) The trick on word problems like this is to scale by the count ratio first (24 ÷ 4 = 6) before computing — it usually keeps the numbers cleaner.
Why the other choices are wrong
A. ₱145 is 5 × ₱29 — used 20 mangoes (5 sets) instead of 24 (6 sets).
C. ₱184 is what you get if you mistakenly multiply ₱23 by 8 or make a similar setup error.
D. ₱204 looks plausible but doesn't match any clean scaling of ₱29 — likely a small arithmetic slip distractor.
Sample 3
What is the circumference of a circle with a radius of 7 units? (Use π ≈ 22/7)
A14 units
B22 units
C44 units✓
D154 units
Answer: C
The circumference of a circle is C = 2 × π × r (two times pi times the radius). With radius = 7 and π ≈ 22/7: C = 2 × (22/7) × 7. Notice the 7 in the denominator and the 7 from the radius cancel each other (because 7 ÷ 7 = 1). What's left: 2 × 22 = 44 units. Useful pattern: when π is given as 22/7 and the radius is a multiple of 7, the 7s often cancel and the math gets simple.
Why the other choices are wrong
A. 14 is just 2 × 7 (twice the radius) — that's the diameter, not the circumference.
B. 22 would be π × r (forgetting the 2), giving half the circumference.
D. 154 = 22/7 × 7 × 7 = π × r² — that's the AREA of the circle, not the circumference.
