Foundation June 2025 Paper 3 Q15
15
(a) Heidi and Ben both work with the same positive number \(N\).
Heidi works out \(\dfrac{5}{8} \times N\).
Ben works out \(0.63 \times N\).
Tick (✓) the correct statement.
- Heidi gets a larger answer than Ben
- Heidi gets a smaller answer than Ben
- Heidi gets the same answer as Ben
Give a reason why you ticked the statement. [2]
(b) Heidi correctly works out the area of a circle with radius 10 cm.
Heidi uses the formula \(A = \pi r^2\).
Heidi uses the formula \(A = \pi r^2\).
Heidi’s answer is 314.1592654 cm\(^2\).
Ben correctly works out the area of the same circle using the same formula.
Ben’s answer is bigger than Heidi’s answer.
Show how this can happen. [2]
| Answer | Marks | Part marks and guidance | |||||||
|---|---|---|---|---|---|---|---|---|---|
Correct row only
| 2 | B1 for correct statement only selected | Accept any clear indication | ||||||
| and \(\left[\dfrac{5}{8} =\right]\) 0.625 | B1 for correct conversion isw or correctly finding 0.63 and \(\dfrac{5}{8}\) of the same amount isw | For second B1 Mark converted value(s) on the answer line first If insufficient converted value(s) on line, mark converted value(s) in body Accept both converted to comparable form e.g. 63% and 62.5% or \(\dfrac{630}{1000}\) and \(\dfrac{625}{1000}\). Condone \(\dfrac{63}{100}\) and \(\dfrac{62.5}{100}\) condone rounding/truncation to a level to compare quantities | |||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(k \times 10^2\) where \(k\) is one from 3.1415927, 3.141593, 3.1416, 3.142 leading to 314.15927, 314.1593, 314.16, 314.2 | 2 | B1 for \(k \times 10^2\) where \(k\) is one from 3.1415927, 3.141593, 3.1416, 3.142 | For 1 or 2 marks
e.g 314.1592654 = 314.2 [to 1dp] |