Numeracy Intermediate November 2023 Unit 2 Q3
3. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Elwyn ordered a solid garden ornament.
The ornament arrives in a box in the shape of a cuboid.
The box has length 15 cm, width 15 cm and height 30 cm.
Diagram not drawn to scale
The box only contains the ornament and packing.
The packing fits around the ornament and fills all the other space in the box.
When Elwyn opens the box, he is surprised at the volume of the packing in the box.
He says,
“\(\frac{2}{3}\) of this box is filled with packing.”
Use this information to calculate the volume of the garden ornament.
You must show all your working. [4 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Volume of the ornament is) ⅓ × 15 × 15 × 30 or ⅓ × 6750 or 6750 − ⅔ × 6750 or equivalent | M2 | Allow also any of the following:
|
| 2250 (cm3) | A2 | CAO. Must be indicated and not ambiguously embedded A1 for any of the following:
|
| 3. Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |