Foundation November 2023 Paper 1 Q11

11 Last week, Erik worked for 10 hours.

He paid no tax and received £90

(a) This week, Erik works for 15 hours.

He assumes he will be paid at the same rate and pay no tax.

How much does he expect to receive this week? [3 marks]

(b) In fact, this week, Erik

is paid an extra 50p per hour
pays £8.90 tax.

What does this tell you about the amount he receives?

Tick one box.

Show working to support your answer. [2 marks]

Mark scheme (a)

Answer	Mark	Comments
Alternative method 1
\(90 \div 10\) or 9	M1	oe
their \(9 \times 15\)	M1dep	oe
135(.00)	A1
Alternative method 2
\(15 \div 10\) or 1.5 or \(10 \div 15\) or \(\dfrac{2}{3}\)	M1	oe
\(90 \times\) their 1.5 or \(90 \div\) their \(\dfrac{2}{3}\)	M1dep	oe
135(.00)	A1
Alternative method 3
\(90 \div (10 \div (15 - 10))\) or 45	M1	oe
\(90 +\) their 45 or their \(45 \times 3\)	M1dep	oe
135(.00)	A1

Allow one error in a build-up method

Mark scheme (b)

Answer	Mark	Comments
Alternative method 1: works out extra from hourly increase or totals (and compares to tax)
\(15 \times (0.)50\) or \(15 \div 2\) or \(15 \times (\)their \(9 + 0.5) - 15 \times\) their 9 or \(142.5(0) -\) their 135 or 7.5(0)	M1	oe may be working in pence or pounds
It is less than he expected and 7.5(0)	A1ft	correct or ft their hourly rate and/or their answer in (a)
Alternative method 2: works out actual amount (and compares to expected amount)
\(15 \times (\)their \(9 + 0.5) - 8.9(0)\) or \(142.5(0) - 8.9(0)\) or 133.6(0)	M1	oe may be working in pence or pounds
Correct box ticked for comparison with their (a) and 133.6(0)	A1ft	correct or ft their hourly rate and/or their answer in (a)

It’s 1.40 less with 135 in (a) (with no box ticked)	M1A1
Allow one error in a build-up method
Ignore further work after correct answer seen