Higher November 2021 Paper 1 Q10
10 The diagram shows a shape made from 6 identical squares.
The total area of the shape is 5406 cm2
(a) Find an estimate for the length of one side of each square.
Give your answer correct to the nearest whole number. (3)
Give your answer correct to the nearest whole number. (3)
(b) Is your answer to part (a) an underestimate or an overestimate?
You must give a reason for your answer. (1)
You must give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 30 | P1 | for a start to the process, eg \(5406 \div 6\ (= 901)\) or \(5400 \div 6\ (= 900)\) or \(5000 \div 6\ (= 833.33..)\) or \(5410 \div 6\ (= 901.66..)\) |
| P1 | for a process to find the length of one side, eg \(\sqrt{\text{``}901\text{''}}\) or \(\sqrt{\text{``}900\text{''}}\) or \(\sqrt{\text{``}833.33..\text{''}}\) or \(\sqrt{\text{``}901.66..\text{''}}\) | |
| A1 | for 30 |
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for a correct explanation based on their working in (a), eg underestimate because I rounded the total area down |
Additional guidance
Must be based on the use of a rounded value in a calculation