Numeracy Foundation November 2023 Unit 2 Q10
10. Treviso is a company that designs and builds bicycles.
(a) 
Treviso has designed this new bike frame.
The missing angles need to be calculated.
Diagram not drawn to scale
Find the size of each of the angles \(a\), \(b\) and \(c\). [3]
\(a\) = ……………… ° \(b\) = ……………… ° \(c\) = ……………… °
(b)
Each wheel on Treviso’s new bike has a diameter of 29 inches.
| Remember: 12 inches ≈ 30 cm |
What is the diameter of each wheel in millimetres? [3]
Diameter is …………………… mm
| Scheme | Marks | Comments |
|---|---|---|
| \(a\) = 54° \(b\) = 54° \(c\) = 78° | B1 B1 B1 | Answer spaces take precedence, if blank check the diagram FT ‘their a’ FT 132 – ‘their a’ or 132 – ‘their b’ |
| Scheme | Marks | Comments |
|---|---|---|
| (10 ×) 29 × 30 ÷ 12 or equivalent or for an answer of 72.5 | M2 | Allow embedded with an incorrect change of units Allow (10 ×) 2.4(16…) × 30 M1 for any one of the following:
|
| 725 (mm) | A1 | Answer space takes precedence Allow answers in the range 720 (mm) to 726 (mm) from premature approximation, not from incorrect working |