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Questions and Answers
What is the sum of $5(7 + 3)$?
If a triangle has sides of lengths 7, 24, and 25, what type of triangle is it?
What is the value of the mathematical constant π (pi) to three decimal places?
In a geometric progression, what would be the next term after 2, 6, 18, 54, ...?
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What is the value of $3^4$?
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If a rectangle has a length of 12 and a width of 5, what is its area?
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What is the square root of 144?
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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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Description
Test your general knowledge of mathematics with this quiz covering various topics such as basic arithmetic, geometry, mathematical constants, and geometric progressions.
