Surds

Surds Quiz

Spec 1.4 · Edexcel IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. Which of the following is a surd?

    • A. 16\sqrt{16}
    • B. 7\sqrt{7}
    • C. 81\sqrt{81}
    • D. 100\sqrt{100}

  2. 2. Simplify 45\sqrt{45}.

    • A. 959\sqrt{5}
    • B. 353\sqrt{5}
    • C. 535\sqrt{3}
    • D. 15315\sqrt{3}

  3. 3. Rationalise 13\dfrac{1}{\sqrt{3}}.

    • A. 33\dfrac{\sqrt{3}}{3}
    • B. 3\sqrt{3}
    • C. 13\dfrac{1}{3}
    • D. 33\dfrac{3}{\sqrt{3}}

  4. 4. What is the conjugate of 2−52-\sqrt{5}, and what do you multiply by to rationalise 12−5\dfrac{1}{2-\sqrt{5}}?

    • A. 2+52+\sqrt{5}; multiply top and bottom by it
    • B. −2+5-2+\sqrt{5}; multiply only the bottom
    • C. 2−52-\sqrt{5}; multiply only the top
    • D. 5−2\sqrt{5}-2; divide top and bottom by it

  5. 5. Evaluate 8−238^{-\frac{2}{3}}.

    • A. 44
    • B. 14\dfrac{1}{4}
    • C. −4-4
    • D. 116\dfrac{1}{16}

Quiz