Numeracy Intermediate June 2017 Unit 1 Q5
5.
(a) Jasmine entered herself, Sophie and Bryn as a group in a talent contest.
Bryn only had a minor part.
Bryn only had a minor part.
Bryn, Sophie and Jasmine won the contest.
They shared the prize money in the ratio 2 : 6 : 7, with Bryn getting the smallest share.
Jasmine won £560, the largest share.
(i) How much money did Bryn and Sophie each win? [4]
Bryn receives £ ……………
Sophie receives £ ……………
(ii) Jasmine gave 15% of her winnings to charity.
How much did Jasmine have left? [2]
How much did Jasmine have left? [2]
(b) The talent contest is held once a year.
Every year, the cost of putting on the talent contest increases by 10% of the previous year’s cost.
In summer 2014 the cost was £6600.
Every year, the cost of putting on the talent contest increases by 10% of the previous year’s cost.
In summer 2014 the cost was £6600.
Calculate the cost of putting on the summer 2017 talent contest.
You must show all your working. [3]
| Scheme | Marks | Comments | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (i) (£) 560 ÷ 7 (= £ 80) | B1 | |||||||||||
| 2 × 560 ÷ 7 OR 6 × 560 ÷ 7 OR ⅓ × (560 – 560 ÷ 7) OR 560 – 560 ÷ 7 | M1 | |||||||||||
| (Bryn) (£) 160 | A1 | CAO | ||||||||||
| (Sophie) (£) 480 | A1 | CAO Alternative:(Total prize money)
If no marks, award SC1 only for either of the following answers (from initially 560÷15)
| ||||||||||
| (ii) 560 - 0.15 × 560 or 0.85 × 560 (=560 - 84) | M1 | Or equivalent full method | ||||||||||
| (£)476 | A1 |
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| (2015 cost of hosting:) 6600 + 0.1 × 6600 (£7260) | B1 | |||||||||
| (2016 cost of hosting:) 7260 + 0.1 × 7260 (£7986) AND (2017 cost of hosting:) 7986 + 0.1 × 7986 (£8784.60) | M1 | For the appropriate method of repeatedly increasing by 10% from 2015 to 2017 FT ‘their 6600 + 10%' calculation with ‘their 7260’ + 10% calculation with their 7986’ + 10% calculation Allow intention with sight of rounding or truncation within working, e.g. (£)799 as 10% of (£)7986 | ||||||||
| (2017 cost of hosting is) (£) 8784.6(0) | A1 | CAO Ignore any further working Alternative
If no marks, award SC1 for an answer of (£)8580 (from simple interest, as first B mark is embedded) |