Higher June 2022 Paper 1 Q18
18 Work out the value of \(\dfrac{\left(5\dfrac{4}{9}\right)^{-\frac{1}{2}} \times \left(4\dfrac{2}{3}\right)}{2^{-3}}\)
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 16 | M1 | for working with square root or with reciprocal in \(\left(5\dfrac{4}{9}\right)^{-\frac{1}{2}}\) eg \(\left(\dfrac{9}{49}\right)^{\frac{1}{2}}\) or \(\dfrac{1}{\sqrt{\dfrac{49}{9}}}\) or \(\dfrac{1}{\left(\dfrac{49}{9}\right)^{\frac{1}{2}}}\) or \(\left(\dfrac{7}{3}\right)^{-1}\) or \(\dfrac{3}{7}\) |
| M1 | for a full method to simplify the numerator eg \(\dfrac{3}{7} \times \dfrac{14}{3}\ (= 2)\) | |
| M1 | for showing \(\div\, 2^{-3}\) as \(\times\, 8\), eg \(\dfrac{3}{7} \times \dfrac{14}{3} \times 8\) or for \(2^1 \div 2^{-3}\ (= 2^4)\) or for correctly reducing the expression to a single calculation, eg \(\dfrac{336}{21}\) or \(\dfrac{112}{7}\) or \(2 \div \dfrac{1}{8}\) | |
| A1 | cao |
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