Higher January 2023 Paper 2 Q5
5 The weight of a cake is 2.75 kg, correct to 2 decimal places.
(a) Write down the lower bound of the weight of the cake. (1)
(b) Write down the upper bound of the weight of the cake. (1)
Penny has worked out \(\;\dfrac{81.3 \times 59.2}{1.9^2}\;\) on her calculator.
Her answer is 13 332.299 17
Penny’s answer is not sensible.
(c) By rounding each number to one significant figure, work out a suitable estimate to show that her answer is not sensible.
Show your working clearly. (2)
Show your working clearly. (2)
| Scheme | Marks |
|---|---|
| 2.745 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 2.755 | B1 |
| (1) |
Notes
B1: allow \(2.754\dot{9}\)
| Scheme | Marks |
|---|---|
| \((80 \times 60) \div 2^2\) | M1 |
| eg \((80 \times 60) \div 2^2 = 1200\) oe working with rounded values seen required Answer: 1200 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: For two of 80, 60, 2 or 4 rather than \(2^2\) oe
A1: dep on M1 for answer coming from use of the 3 rounded numbers – if 1200 seen then ignore any other working and comments