Forming Equations: Eduqas GCSE Foundation June 2017 Paper 1 Q12

Foundation June 2017 Paper 1 Q12

12. Sam thinks of a number. His number is \(n\).

Anwen, Bea and Carl also think of numbers.
Their numbers are shown in the table.

(a)

Anwen’s number is seven less than Sam’s number.

Using words, complete the following statement. [1]

Bea’s number is …………………… Sam’s number.

(b)

Carl says:

‘My number is double Sam’s number.’

Explain why Carl is not correct. [1]

(c)

David thinks of a number. His number is 9 more than Anwen’s number.

Write an expression, in terms of \(n\), for David’s number.
Give your answer in its simplest form. [1]

(d)

Anwen’s number is 63.

Find Carl’s number. [3]

Scheme	Marks	Comments
(Bea’s number is) four times (Sam’s number)	B1	Accept equivalent descriptions; allow ‘4 times’

Mark scheme (b)

Scheme	Marks	Comments
Valid explanation e.g. ‘Dividing by 2’ or ‘It is being halved’ or ‘Doubling would be \(2n\)’	B1	Accept equivalent descriptions; accept a valid counter-example