Percentages: WJEC GCSE Higher November 2021 Unit 2 Q7

Higher November 2021 Unit 2 Q7

WJECHigherCurrent spec3 marksPercentages

(a) A number, when increased by 4%, is equal to \(N\).
Which of the following calculations would give you the original number?
Circle your answer. [1]

\(N \times 1{\cdot}04\) \(N \div 1{\cdot}04\) \(N \times 1{\cdot}4\) \(N \div 1{\cdot}4\) \(N - 4\)

(b) The number shown on each diagram below is 20% greater than the number shown on the previous diagram.

Three boxes on a line: Diagram 1 shows 100, Diagram 2 shows 120, Diagram 3 shows 144, with a dashed line continuing

Diagram not drawn to scale

Find the number that should be shown on Diagram 6. [2]

Mark scheme (a)

Scheme	Marks	Comments
\(N \div 1{\cdot}04\)	B1

Mark scheme (b)

Scheme	Marks	Comments
248·832	B2	Allow B2 if 248·832 seen then corrected to a final answer of 249 or 248·8(..). If B2 not awarded, B1 for final answer of 249 or 248·(…) i.e. 248·832 not seen. B1 for sight of \(100 \times 1{\cdot}2^5\) or for equivalent calculations, e.g. \(144 \times 1{\cdot}2^3\) or \(100 \times 1{\cdot}2 \times 1{\cdot}2 \times 1{\cdot}2 \times 1{\cdot}2 \times 1{\cdot}2\) (may be seen in stages) B1 for a final answer of 298·5984.