(a) What percentage of the following shape is shaded? [2]
…………… %
(b) You are given the value of 25% of a number. Explain how you can find the value of the number. [1]
(c) Explain how you know that \(\dfrac{1}{8}\) is greater than \(\dfrac{1}{10}\). [1]
Mark scheme (a)
Scheme
Marks
Comments
60 (%)
B2
B1 for equivalent fraction or decimal (0.6, 3/5, 12/20). If B2 not awarded, F.T. their fraction (except for ½, ¼ and ¾) correctly converted to a percentage for B1.
Mark scheme (b)
Scheme
Marks
Comments
Multiply by 4
E1
Accept other correct explanations e.g. divide (the number) by 5 then multiply by 20, double (the number) and double (it) again or divide by ¼.
Mark scheme (c)
Scheme
Marks
Comments
Accept suitable explanations, e.g.
0.125 (is greater than) 0.1
5/40 (is greater than) 4/40
E1
Award E1 for other correct explanations e.g. a larger denominator means each part of the whole is smaller, or for correct evaluation of 1/8 and 1/10 of a chosen number.
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