Mathematics General Knowledge Quiz

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Questions and Answers

What is the sum of $5(7 + 3)$?

  • 100 (correct)
  • 35
  • 25
  • 50

If a triangle has sides of lengths 7, 24, and 25, what type of triangle is it?

  • Scalene
  • Isosceles
  • Right-angled (correct)
  • Equilateral

What is the value of the mathematical constant π (pi) to three decimal places?

  • 3.618
  • 3.267
  • 3.415
  • 3.142 (correct)

In a geometric progression, what would be the next term after 2, 6, 18, 54, ...?

<p>216 (B)</p> Signup and view all the answers

What is the value of $3^4$?

<p>81 (A)</p> Signup and view all the answers

If a rectangle has a length of 12 and a width of 5, what is its area?

<p>60 (B)</p> Signup and view all the answers

What is the square root of 144?

<p>12 (C)</p> Signup and view all the answers

If a circle has a radius of 6, what is its circumference (use 3.14 for π)?

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Study Notes

Arithmetic Operations

  • The sum of 5(7 + 3) is 50.

Geometry

  • A triangle with sides of lengths 7, 24, and 25 is a right triangle.
  • This is because it satisfies the Pythagorean theorem (a² + b² = c²), where 7² + 24² = 25².

Mathematical Constants

  • The value of the mathematical constant π (pi) to three decimal places is 3.142.

Geometric Progressions

  • In a geometric progression, the next term after 2, 6, 18, 54,… is 162. It's a geometric progression because each term is obtained by multiplying the previous term by a constant factor (in this case, 3).

Exponents

  • The value of 3⁴ is 81.

Area

  • The area of a rectangle with a length of 12 and a width of 5 is 60.
  • Area is calculated by multiplying length and width: 12 * 5 = 60.

Square Roots

  • The square root of 144 is 12.

Circumference

  • The circumference of a circle with a radius of 6 is 37.68.
  • The formula for circumference is 2πr, where r is the radius.
  • Using 3.14 for π, the circumference is 2 * 3.14 * 6 = 37.68.

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