Numeracy Intermediate June 2018 Unit 1 Q5
5. Lekan’s parents have complained that they are paying too much towards his mobile phone bill each month.
Lekan decides to ask a number of students in school how much their parents or carers pay towards their mobile phone bills each month.
He displays the results in a scatter diagram. These include his own results.
(a) Lekan’s parents want to know the names of some of these students.
The two 15-year-old students are Harriet and Eleri.
Eleri is older than Harriet.
Gwilym and Aled’s parents each pay £27.50 per month.
Aled is younger than Gwilym.
(i) Complete each of the following statements. [2]
‘Eleri’s parents or carers pay £ …………… each month towards her mobile phone bill.’
‘Harriet’s parents or carers pay £ …………… each month towards her mobile phone bill.’
(ii) Complete each of the following statements. [3]
‘Gwilym is …………… years …………… months old.’
‘Aled is …………… years …………… months old.’
(b) Lekan’s parents pay £32.50 per month towards his mobile phone bill.
He is the youngest of the 3 students who receive £32.50 per month towards their mobile phone bill.
He is the youngest of the 3 students who receive £32.50 per month towards their mobile phone bill.
(i) How old is Lekan? [1]
(ii) Do you think Lekan’s parents are right to complain that they are paying too much towards his mobile phone bill each month?
You must use the scatter diagram to give a reason for your answer. [1]
You must use the scatter diagram to give a reason for your answer. [1]
Yes ☐ No ☐
| Scheme | Marks | Comments |
|---|---|---|
| (i) (£) 20 | B1 | |
| (£) 30 | B1 | If B0, B0, award SC1 for (£)30 followed by (£)20 |
| (ii) 16 (years) 0 (months) 13 (years) 6 (months) | B3 | Accept 16 (years) with months left blank throughout B2 for (in order)
B1 for
|
| Scheme | Marks | Comments |
|---|---|---|
| (i) 13 (years old) | B1 | CAO |
| (ii) Indicates or implies ‘Yes’ with a reason, e.g. ‘only one young person gets more paid towards their mobile phone bill’, ‘the 13½ year old (only) gets £27.5(0), ‘There are older children that pay less than Lekan’, ‘only 3 others pay the same or more’, ‘most pay less’, ‘only 4 pay more or the same’ ‘the amount paid for other 13-year olds is less’, ‘most parents pay less’, OR Indicates or implies ‘No’ with a reason, e.g. ‘there is no correlation’, ‘there is no relationship between age and amount’ | E1 | Do not accept ‘Yes, he is the youngest’ Accept ‘Yes’ with a reasonable true comparison If amounts are quoted they must be correct unless accompanied by a correct comparative statement |