Numeracy Foundation June 2022 Unit 1 Q3
3. Rhodri is organising his son’s birthday party.
He decides to give every child a party bag.
There will be 19 children at the party.
A party bag costs £2.98 to produce.
(a) Estimate how much Rhodri will spend on producing party bags. [2]
(b) Is your estimate an underestimate or an overestimate?
Underestimate ☐ Overestimate ☐ Can’t tell ☐
Give a reason for your answer. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 20×(£)3 OR 19×(£)3 OR 20× (£)2.98 | M1 | Allow 20 ×(£)2.95 OR 20 × (£)2.90 (£)59 OR (£)58 |
| (£)60 OR (£)57 OR (£)59.60 | A1 | Ignore Subsequent working if an estimate is seen |
| Scheme | Marks | Comments |
|---|---|---|
| Overestimate indicated and correct suitable reason given e.g. ‘Because 20 is more than 19 and (£)3 is more than (£)2.98’ ‘Because I rounded 2.98 up to 3’ ‘Because I rounded it up’ ‘Rounded 98p to £1’ ‘Rounded it up to the nearest whole number’ ‘Because I rounded both numbers up’ ‘Because the real numbers are less than the ones I used’ ‘Because my bags are 2p more than the party bags’ ‘There are only 19 bags and I used 20’ | E1 | Allow ‘because you estimate to nearest 10’ FT appropriate judgement based on their estimate seen in (a) e.g., 20 × (£)2.50 and underestimate given with reason as ‘2.50 is less than 2.98’, award M0 A0 in (a) and E1 in (b) Allow statements that only refer to one value being estimated where both values have been rounded up. Do not accept ‘Because I am over the real price’ FT from allowed estimates in part (a) with ‘can’t tell’ and a suitable reason given e.g., ‘one is rounded up and the other rounded down.’ If (a) is not attempted but a correct estimate for (a) is seen in (b) with appropriate judgement indicated and correct reason award E1 |