Numeracy Intermediate November 2020 Unit 2 Q8
8. In Cuba, urban gardens are used for food production.
| 1 acre ≈ 0·00405 km2 |
35 000 acres of urban gardens in Cuba produced 3·4 million tonnes of food in 2002.
Calculate the number of tonnes of food produced per km2 in urban gardens in Cuba in 2002.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Sight of, for example, 3500 or 0.0405 are treated as MR-1 (from first accuracy mark) in addition to any place value error in ‘their 3.4 million’ | ||
| (35000 acres ≈ ) 35000 × 0.00405 | M1 | |
| 141.75 (km2) | A1 | Allow 141.8 May be implied by further working |
| (Food per km2) 3 400 000 ÷ 141.75 | M1 | Allow 3.4 (million) ÷ 141.75 Allow place value error in ‘their 3.4 million’ FT ‘their 141.75’, provided derived from a calculation involving 35000 and 0.00405 |
| Following correct working, answers in the range 23975 (tonnes) to 24 000 (tonnes) | A1 | (Actual answer is 23985.89… tonnes) Do not FT from place value error in ‘their 3.4 million’ FT for equivalent range, e.g. use of 141.8 gives 23977(.433 tonnes)) so accept answers in the range 23977 to 24000 tonnes |
Alternative
8. Alternative method 1:
| Scheme | Marks | Comments |
|---|---|---|
| (tonnes / acre) 3 400 000 ÷ 35000 | M1 | Allow 3.4 (million) ÷ 35000 Allow place value error in ‘their 3.4 million’ |
| 97.1(428….) | A1 | Do not FT from place value error in ‘their 3.4 million’ May be implied by further working |
| (per km2) 97.1(428….) ÷ 0.00405 | M1 | FT from place value error in ‘their 3.4 million’ FT ‘their 97.1(428….)’ provided derived from a calculation involving 3 400 000 and 35 000 |
| Following correct working, answers in the range 23975 (tonnes) to 24 000 (tonnes) | A1 | (Actual answer is 23985.89… tonnes) Note: Accuracy for place value error in ‘their 3.4 million’ must be penalised once only on first occurrence |
Alternative
8. Alternative method 2:
| Scheme | Marks | Comments |
|---|---|---|
| 3 400 000 ÷ 0.00405 | M1 | Allow 3.4 (million) ÷ 0.00405 Allow place value error in ‘their 3.4 million’ |
| 839506172.8(….) | A1 | Do not FT from place value error in ‘their 3.4 million’ May be implied by further working |
| 839506172.8(….) ÷ 35000 | M1 | FT from place value error in ‘their 3.4 million’ FT ‘their 839506172.8(….)’ provided derived from a calculation involving 3 400 000 and 0.00405 |
| Following correct working, answers in the range 23975 (tonnes) to 24 000 (tonnes) | A1 | (Actual answer is 23985.89… tonnes) Note: Accuracy for place value error in ‘their 3.4 million’ must be penalised once only on first occurrence |