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The world of numbers

English 20 leveled MCQs Free

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The world of numbers

The exam covers the fundamental concepts of numbers: types of numbers (natural, whole, integers, rational, irrational, real), their properties, and operations. Focus on the number line, absolute value, and basic arithmet...

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8 marks Long answer

Explain the difference between rational and irrational numbers with examples, and show how to locate √2 on a number line.

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Rational: p/q (e.g., 1/2); Irrational: non-terminating non-repeating (e.g., √2); √2 is located by constructing a right triangle with legs 1 and 1.

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6 marks Long answer

Describe the real number system and its subsets.

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Real numbers include rationals (integers, fractions) and irrationals; they cover all points on the number line.

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5 marks Long answer

Solve: (3/4) × (8/9) ÷ (2/3).

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(3/4 × 8/9) = 2/3; then (2/3) ÷ (2/3) = 1.

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5 marks Long answer

A shirt costs $40 and is on sale for 25% off. What is the sale price?

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Discount = 25% of $40 = $10; sale price = $30.

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