GU D128 Mathematics for
W
Elementary Educators Exam
Formulas 2026-2027 | Questions
& Verified Answers | 100%
Correct | Grade A | Pass
Guaranteed
### PART A – MULTIPLE CHOICE (Q1‑35)
* *Q1 (Geometry – Area of a Circle):** A circle has a radius of 5 inches. What is its area? (Use π
≈ 3.14)
A. 31.4 in²
B. 78.5 in²
C. 15.7 in²
D. 314 in²
**[CORRECT]** B
*Rationale: Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 in². Distractor A (31.4) uses the
diameter instead of radius (π × d = circumference). Distractor C (15.7) is half the correct area.
Distractor D (314) uses π × (2r)² = π × 100 = 314, a common squaring error. Tip: "π r squared,
not π times the diameter squared."*
* *Q2 (Geometry – Circumference):** Find the circumference of a circle with diameter 8 cm. (Use
π ≈ 3.14)
A. 25.12 cm
B. 50.24 cm
C. 12.56 cm
D. 200.96 cm
**[CORRECT]** A
, * Rationale: Circumference = π × d = 3.14 × 8 = 25.12 cm. Distractor B (50.24) uses area
formula πr² with r = 4 (3.14 × 16 = 50.24). Distractor C (12.56) uses π × r instead of π × d.
Distractor D (200.96) uses π × d². Tip: "Circumference = π × diameter; Area = π × radius²."*
* *Q3 (Geometry – Area of a Rectangle):** A classroom measures 24 feet by 18 feet. What is the
area?
A. 84 ft²
B. 432 ft²
C. 216 ft²
D. 42 ft
**[CORRECT]** B
*Rationale: Area = length × width = 24 × 18 = 432 ft². Distractor A (84) is the perimeter
(2(24+18) = 84). Distractor C (216) is 24 × 9, a multiplication error. Distractor D (42) is the
semi-perimeter and uses wrong units. Tip: "Area = L × W; Perimeter = 2(L + W)."*
* *Q4 (Geometry – Area of a Triangle):** Find the area of a triangle with base 12 cm and height 8
cm.
A. 96 cm²
B. 48 cm²
C. 40 cm²
D. 20 cm²
**[CORRECT]** B
*Rationale: Area = ½ × base × height = ½ × 12 × 8 = 48 cm². Distractor A (96) forgets the ½
factor (12 × 8). Distractor C (40) uses incorrect base/height pairing. Distractor D (20) is a
random miscalculation. Tip: "A triangle is half a parallelogram – always divide by 2."*
* *Q5 (Geometry – Area of a Trapezoid):** Find the area of a trapezoid with bases b₁ = 10 in, b₂
= 14 in, and height h = 6 in.
A. 144 in²
B. 72 in²
C. 84 in²
D. 36 in²
**[CORRECT]** B
*Rationale: Area = (b₁ + b₂)/2 × h = (10 + 14)/2 × 6 = 12 × 6 = 72 in². Distractor A (144) adds all
sides and multiplies. Distractor C (84) is (10 + 14) × 6 without dividing by 2. Distractor D (36)
divides by 2 twice. Tip: "Average the bases, then multiply by height."*
* *Q6 (Geometry – Area of a Parallelogram):** A parallelogram has base 15 m and height 7 m.
What is its area?
A. 105 m²
B. 44 m²
C. 210 m²
D. 52.5 m²
**[CORRECT]** A
W
Elementary Educators Exam
Formulas 2026-2027 | Questions
& Verified Answers | 100%
Correct | Grade A | Pass
Guaranteed
### PART A – MULTIPLE CHOICE (Q1‑35)
* *Q1 (Geometry – Area of a Circle):** A circle has a radius of 5 inches. What is its area? (Use π
≈ 3.14)
A. 31.4 in²
B. 78.5 in²
C. 15.7 in²
D. 314 in²
**[CORRECT]** B
*Rationale: Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 in². Distractor A (31.4) uses the
diameter instead of radius (π × d = circumference). Distractor C (15.7) is half the correct area.
Distractor D (314) uses π × (2r)² = π × 100 = 314, a common squaring error. Tip: "π r squared,
not π times the diameter squared."*
* *Q2 (Geometry – Circumference):** Find the circumference of a circle with diameter 8 cm. (Use
π ≈ 3.14)
A. 25.12 cm
B. 50.24 cm
C. 12.56 cm
D. 200.96 cm
**[CORRECT]** A
, * Rationale: Circumference = π × d = 3.14 × 8 = 25.12 cm. Distractor B (50.24) uses area
formula πr² with r = 4 (3.14 × 16 = 50.24). Distractor C (12.56) uses π × r instead of π × d.
Distractor D (200.96) uses π × d². Tip: "Circumference = π × diameter; Area = π × radius²."*
* *Q3 (Geometry – Area of a Rectangle):** A classroom measures 24 feet by 18 feet. What is the
area?
A. 84 ft²
B. 432 ft²
C. 216 ft²
D. 42 ft
**[CORRECT]** B
*Rationale: Area = length × width = 24 × 18 = 432 ft². Distractor A (84) is the perimeter
(2(24+18) = 84). Distractor C (216) is 24 × 9, a multiplication error. Distractor D (42) is the
semi-perimeter and uses wrong units. Tip: "Area = L × W; Perimeter = 2(L + W)."*
* *Q4 (Geometry – Area of a Triangle):** Find the area of a triangle with base 12 cm and height 8
cm.
A. 96 cm²
B. 48 cm²
C. 40 cm²
D. 20 cm²
**[CORRECT]** B
*Rationale: Area = ½ × base × height = ½ × 12 × 8 = 48 cm². Distractor A (96) forgets the ½
factor (12 × 8). Distractor C (40) uses incorrect base/height pairing. Distractor D (20) is a
random miscalculation. Tip: "A triangle is half a parallelogram – always divide by 2."*
* *Q5 (Geometry – Area of a Trapezoid):** Find the area of a trapezoid with bases b₁ = 10 in, b₂
= 14 in, and height h = 6 in.
A. 144 in²
B. 72 in²
C. 84 in²
D. 36 in²
**[CORRECT]** B
*Rationale: Area = (b₁ + b₂)/2 × h = (10 + 14)/2 × 6 = 12 × 6 = 72 in². Distractor A (144) adds all
sides and multiplies. Distractor C (84) is (10 + 14) × 6 without dividing by 2. Distractor D (36)
divides by 2 twice. Tip: "Average the bases, then multiply by height."*
* *Q6 (Geometry – Area of a Parallelogram):** A parallelogram has base 15 m and height 7 m.
What is its area?
A. 105 m²
B. 44 m²
C. 210 m²
D. 52.5 m²
**[CORRECT]** A
