Numeracy Foundation June 2018 Unit 2 Q4
4. The diagram below shows a scale drawing of the pitch used in a game of rounders.
The scale of the drawing is 1 cm represents 2 m.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
(a) Use the scale drawing above.
Measure and write down the length of the line from the START to 1st base. [1]
Measure and write down the length of the line from the START to 1st base. [1]
(b)
Calculate the actual distance from the START to 1st base, in metres. [1]
Distance is …………… m
(c)
The caretaker of a sports ground uses the scale drawing to plan how to mark out the lines of a rounders pitch.
The START and the first three bases are the four corners of a square.
The caretaker marks the lines from the START to 1st base, then to 2nd base, then to 3rd base and finally to 4th base.
What is the total actual length of the lines he marks? [3]
| Scheme | Marks | Comments |
|---|---|---|
| 6 ± 0.2 (cm) or 60 ± 2 (mm) | B1 | Units need not be stated but if given, must be correct. |
| Scheme | Marks | Comments |
|---|---|---|
| 12 ± 0.4 (m) | B1 | FT ‘their 6 ± 0.2’ × 2 provided answer (a) in cm. Do not FT from an answer in mm unless the scale is correctly applied i.e. 10 mm is 2m If no units stated in (a), FT ‘their (a)’ provided ≤ 8. |
| Scheme | Marks | Comments |
|---|---|---|
| [(6 ± 0.2) ×3 + (4.2 ± 0.2)] ×2 | M2 | Measurements could be seen on the diagram FT from (a) or (b) for M2 or M1 M1 for (6 ± 0.2) ×3 + (4.2 ± 0.2) (cm) provided consistent units used. Or M1 for sight of (6 ± 0.2) ×3 ×2 (cm) Or M1 for sight of (4.2 ± 0.2) ×2 (cm) Or M1 for (6 ± 0.2) ×4 ×2 (cm) (6 ± 0.2) ×3 could be the sum of different measurements each within tolerance. |
| 44.4 ± 1.6 (m) | A1 | FT for A1 only if M1 involves the total of four lengths. If no marks, award SC1 for an unsupported answer of 22.2 ± 0.8 |