GED Math Test #7 3 — Questions and Answers
Question 1: Solve the system: x + y = 10 and x − y = 4
- x = 7, y = 3 (Correct answer)
- x = 6, y = 4
- x = 8, y = 2
- x = 5, y = 5
Correct answer: x = 7, y = 3
Add the equations: 2x = 14, so x = 7. Substitute: 7 + y = 10, so y = 3. Check: 7 − 3 = 4 ✓.
Question 2: A circle has a diameter of 10 cm. What is its circumference? (Use π ≈ 3.14)
- 31.4 cm (Correct answer)
- 78.5 cm
- 15.7 cm
- 62.8 cm
Correct answer: 31.4 cm
Circumference = πd = 3.14 × 10 = 31.4 cm. The radius would be 5 cm, and area = πr² = 3.14 × 25 = 78.5 cm².
Question 3: Which number is irrational?
- √7 (Correct answer)
- √9
- 0.75
- 4/3
Correct answer: √7
√7 ≈ 2.6457... is a non-repeating, non-terminating decimal, making it irrational. √9 = 3, 0.75, and 4/3 can all be expressed as fractions.
Question 4: A worker earns $960 and saves 30% of it. How much does she save?
- $288 (Correct answer)
- $192
- $300
- $320
Correct answer: $288
Savings = 30% × $960 = 0.30 × 960 = $288. The remaining 70% = $672 is spent.
Question 5: The angles of a quadrilateral measure 90°, 85°, 110°, and x°. What is x?
- 75° (Correct answer)
- 65°
- 80°
- 95°
Correct answer: 75°
The sum of interior angles of a quadrilateral = 360°. x = 360° − 90° − 85° − 110° = 75°.
Question 6: Convert 0.045 to a fraction in simplest form.
- 9/200 (Correct answer)
- 9/100
- 45/100
- 9/20
Correct answer: 9/200
0.045 = 45/1000. Simplify by dividing by GCF of 5: = 9/200. This fraction cannot be reduced further since 9 and 200 share no common factors.
GED Math Test #7 3
Solve the system: x + y = 10 and x − y = 4