WI Forward Mathematics 2 — Questions and Answers
Question 1: What is the value of 3/4 + 2/3?
- 5/7
- 17/12 (Correct answer)
- 5/12
- 1/2
Correct answer: 17/12
Find the LCD (12): 9/12 + 8/12 = 17/12.
When adding fractions with unlike denominators, find a common denominator. The LCD of 4 and 3 is 12. Convert: 3/4 = 9/12 and 2/3 = 8/12. Then 9/12 + 8/12 = 17/12.
Question 2: A store sells a jacket for $80 after a 20% discount. What was the original price?
- $96
- $100 (Correct answer)
- $90
- $104
Correct answer: $100
$80 is 80% of the original: $80 / 0.80 = $100.
A 20% discount means the customer pays 80%. Set up: 0.80 x original = $80. Solving: original = $80 / 0.80 = $100.
Question 3: Which expression is equivalent to 5(x + 3) - 2x?
- 3x + 3
- 3x + 15 (Correct answer)
- 7x + 3
- 7x + 15
Correct answer: 3x + 15
Distribute: 5x + 15 - 2x = 3x + 15.
Apply the distributive property: 5(x + 3) = 5x + 15. Then subtract 2x: 5x + 15 - 2x = 3x + 15.
Question 4: What is the area of a triangle with a base of 10 cm and a height of 6 cm?
- 60 cm²
- 30 cm² (Correct answer)
- 16 cm²
- 36 cm²
Correct answer: 30 cm²
Area = 1/2 x base x height = 1/2 x 10 x 6 = 30 cm².
The area formula for a triangle is A = 1/2 x b x h. Substituting: A = 1/2 x 10 x 6 = 30 cm². A triangle is exactly half of a parallelogram with the same base and height.
Question 5: If a number pattern starts with 2 and each term is multiplied by 3, what is the 5th term?
- 30
- 162 (Correct answer)
- 54
- 18
Correct answer: 162
The sequence: 2, 6, 18, 54, 162. The 5th term is 162.
This is a geometric sequence with first term 2 and common ratio 3. Terms: 2, 6, 18, 54, 162. Using the formula: 2 x 3^4 = 2 x 81 = 162.
Question 6: Which point on a coordinate plane is located in Quadrant III?
- (3, 4)
- (-3, 4)
- (-3, -4) (Correct answer)
- (3, -4)
Correct answer: (-3, -4)
Quadrant III contains points where both coordinates are negative.
Quadrant I: (+,+), Quadrant II: (-,+), Quadrant III: (-,-), Quadrant IV: (+,-). The point (-3, -4) has both negative values, placing it in Quadrant III.
What is the value of 3/4 + 2/3?