Foundation June 2018 Paper 1 Q10
10. Donna wants to take 3 guinea pigs and 2 rabbits to the vet.
To be safe, Donna’s pet carrier must not carry pets with a total mass greater than 7 kilograms.
Donna weighs one guinea pig and overestimates the total mass of her 3 guinea pigs to be 3000 grams.
She weighs her rabbits and writes her results in this table.
| Snowy | Sooty |
| 1986 grams | 1834 grams |
- Write down a calculation to estimate the total mass of Donna’s rabbits.
- Using the information in the question, decide whether Donna can safely take all her pets to the vet in her pet carrier.
Show how you decided. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 2 × 2000 or 1990 + 1800 or 2000 + 1800 or 2000 + 1900 or equivalent | B1 | Allow any reasonable calculation with at least one correctly rounded value and no incorrect rounding in each case. NB1 the question requires a calculation so sight of 2000 and 1800 followed by a total of 3800 without the + seen is B0 NB2 It is acceptable to round up in both cases because of the context of the question. Ignore consistent place value errors from converting to kg for M1 A1 |
| Attempts to calculate e.g. 2 × 2000 + 3000 (= 7000) or 1990 + 1800 + 3000 (= 6790) or 2000 + 1800 + 3000 (=6800) 2000 + 1900 + 3000 (= 6900) or 1986 + 1834 + 3000 (= 6820) or equivalent or 7000 – 2 × 2000 ( = 3000) or 7000 – 1990 – 1800 (= 3210) or 7000 – 2000 – 1800 (= 3200) 7000 – 2000 – 1900 (= 3100) 7000 – 1986 – 1834 (= 3180) | M1 | ‘their estimate for the total mass’ + 3000 or ‘the actual total mass + 3000’; or 7000 – ‘their estimate for the total mass’ or 7000 – ‘the actual total mass’ Accept all masses in kilograms Allow 7000 – 3000 (= 4000) with sight of the total mass of the rabbits |
| Evaluates correctly | A1 | FT their sum or difference of masses; implies M1 |
| Yes stated or implied following a correctly-evaluated, valid calculation and with evidence of an appropriate correct conversion from grams to kilograms or kilograms to grams seen or implied at some stage e.g. 1986 (g) \(\approx\) 2 (kg) or 1834 (g) \(\approx\) 1.8 (kg) 7000 (g) = 7(kg) or 6790(g) = 6.79(0) (kg) or 6900 (g) = 6.9(00) (kg) | A1 | Dep on previous M1 A1 Conversion may be implied by e.g. 6800 g is less than 7 kg or by 4000 + 3000 = 7000 g so yes but NOT by e.g. 6800 is less than 7 or 4000 + 3000 = 7000 Allow further rounding when grams converted to kg e.g. 6900 (grams) = 7 kg NB Sight of 1000 g = 1 kg only, is not sufficient to earn the mark. The conversion must be for a mass relating to the context of the question. |
| (4) |