Foundation June 2017 Unit 1 Q10
10. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
The diagram shows part of a rectangle and some identical circles drawn inside the rectangle.
The circles touch each other or the sides of the rectangle, as shown in the diagram.
Diagram not drawn to scale
The rectangle measures 30 cm by 1 m.
The diameter of every circle is 5 cm.
What is the largest number of circles that will fit into this rectangle?
The circles must be arranged in the way shown above.
You must show all your working. [3 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Number of circles on the length=)100 ÷ 5 (=20) OR (Number of circles on the width =)30 ÷ 5 (=6) | M1 | Accept either 5 x 20 (=100) OR 5 x 6 (=30). |
| (Number of circles =) 6 × 20 | m1 | FT ‘their 6' and 'their 20’ if M1 awarded |
| 120 | A1 | CAO |
| OC1 | Organisation and Communication. For OC1, candidates will be expected to:
| |
| W1 | Accuracy of writing. For W1, candidates will be expected to:
|