Fractions: WJEC GCSE Foundation November 2017 Unit 2 Q7

Foundation November 2017 Unit 2 Q7

WJECFoundationCurrent spec6 marksFractions Percentages Properties of Numbers

(a) Kian thinks of a number.
A quarter of his number is 37.

What is 10% of Kian’s number?
You must show all your working. [3]

10% of Kian’s number is ……………

(b) Sophie thinks of a number between 1 and 9.
She multiplies her number by six and then adds 25.
Her final answer can be divided exactly by 7.

What number did Sophie first think of? [3]

Sophie’s number is ……………

Mark scheme (a)

Scheme	Marks	Comments
4 x 37	M1
= 148	A1
(10% of 148 =) 14.8	B1	FT ‘their 148’ if of equivalent difficulty (i.e. not a multiple of 10). Do not follow through 37.

Mark scheme (b)

Scheme	Marks	Comments
4	B3	B2 for 4 x 6 + 25 = 49 OR for 2 trials of 'a number between 1 and 9' x 6 + 25 with at least one evaluated correctly. B1 for trial of 'a number between 1 and 9' x 6 + 25 (May not be evaluated correctly). Accept evaluation of ‘a multiple of 6 + 25’ as a trial. Correctly evaluated trials 1 x 6 + 25 = 31 (31÷7 = 4.4285….) 2 x 6 + 25 = 37 (37÷7 = 5.2857…) 3 x 6 + 25 = 43 (43÷7 = 6.1428…) 4 x 6 + 25 = 49 (49÷7 = 7) 5 x 6 + 25 = 55 (55÷7 = 7.8571…) 6 x 6 + 25 = 61 (61÷7 = 8.7142…) 7 x 6 + 25 = 67 (67÷7 = 9.5714…) 8 x 6 + 25 = 73 (73÷7 = 10.4285…) 9 x 6 + 25 = 79 (79÷7 = 11.2857…)