Foundation November 2020 Paper 3 Q6

OCRFoundationCurrent spec6 marksFractions Percentages

(a) Work out 70% of 50. [2]

(b) Beth multiplies a number by 3 and divides the answer by 10.

By what fraction has the number been reduced? [2]

Mark scheme (a)

Answer	Marks	Part marks and guidance
35	2	M1 for 50 × 0.7 oe	Answer 35% implies M1 For M1 accept correct non-calculator methods that show operations See Appendix

Exemplar responses for Q6a

Non calculator methods.

Where non calculator methods are used then the full method must be seen to give M1

This either shows the operations being used at each stage or a complete description of the method with correct values at each stage. e.g.

50 ÷ 10 = n n × 7	50 ÷ 100 = n n × 70	100% → 50 1% → 0.5 ÷ 100 70% → 35 × 50	100% → 50 ✓ 1% → 0.5 ✓ 70% → 35 ✓	100% → 50 ✓ 1% → 0.05 ✗ 70% → 0.35 ✗
n can be incorrect but operations seen so M1	n can be incorrect but operations seen so M1	“→” may be “of 50” or “is” or “=” or missed out Values can be incorrect as operations seen. M1	“→” may be “of 50” or “is” or “=” or missed out Values must be correct as no operations seen: M1	“→” may be “of 50” or “is” or “=” or missed out Values incorrect. As no operations seen: M0

Mark scheme (b)

Answer	Marks	Part marks and guidance
\(\dfrac{7}{10}\) or equivalent fraction	2	B1 for \(\dfrac{3}{10}\) oe or answer 0.7 or 70%	B1 may be implied by e.g.0.3 or \(\dfrac{21}{70}\) etc but not \(\times 3 \div 10\)

Mark scheme (c)

Answer	Marks	Part marks and guidance
Correct fraction	2	M1 for common denominator of form \(7n\) where \(n\) is integer > 1 or for 0.428[5...] and 0.571[4...] or 42.8[5...]% and 57.1[4...]% or \(\left(\dfrac{3}{7} + \dfrac{4}{7}\right) \div 2\)	For 2 marks, Ignore attempts to cancel once correct answer seen but not to change to decimal or percentage. May be 0.429 May be 42.9% Possible correct answers are \(\dfrac{1}{2}\) or \(\dfrac{7}{14}\) or \(\dfrac{10}{21}\) or \(\dfrac{11}{21}\) etc