Mathematics Knowledge Flashcards

What is the value of 3² + 4²?

Answer: 25

3² = 9 and 4² = 16, so 9 + 16 = 25.

Simplify: (x³)(x⁴)

Answer: x⁷

When multiplying like bases, add the exponents: 3 + 4 = 7, giving x⁷.

The area of a triangle with base 10 and height 6 is:

Answer: 30

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30.

Which of the following is a prime number?

Answer: 37

37 is divisible only by 1 and itself; 51=3×17, 49=7×7, 27=3³.

Solve for x: 5x − 3 = 2x + 9

Answer: 4

5x − 2x = 9 + 3 → 3x = 12 → x = 4.

What is 15% of 200?

Answer: 30

15% of 200 = 0.15 × 200 = 30.

A rectangle has a perimeter of 36 and a width of 8. What is its length?

Answer: 10

Perimeter = 2(l + w) → 36 = 2(l + 8) → l + 8 = 18 → l = 10.