Foundation November 2024 Paper 2 Q8
8 Junaid says that 20 is a square number because \(10^2 = 20\)
(a) Is Junaid correct?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
Chloe says,
“When you divide an even number by an even number the answer is always an even number.”
(b) Write down an example to show that Chloe is wrong. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| No and reason | C1 | No and reason Acceptable examples No, because \(10^2 = 100\) or \(10^2\) is \(10 \times 10\) \(4^2 = 16\) and \(5^2 = 25\) so 20 is not a square number Junaid is wrong because \(\sqrt{20} \neq 10\) or \(\sqrt{20} = 4.47\ldots\) Incorrect because 20 is \(2 \times 10\) not \(10 \times 10\) No she multiplied by 2 instead of squaring or \(10^2\) is not \(10 \times 2\) Wrong as she added instead of multiplying Not acceptable examples Yes…. No because 20 is \(10 \times 2\) Incorrect because 20 is not a square number No because \(10^2\) is not 20 No because she added No because a square number is when a number is multiplied by itself |
| Answer | Mark | Mark scheme |
|---|---|---|
| example | C1 | for a correctly evaluated example, eg \(12 \div 4 = 3\) or \(10 \div 2 = 5\) or \(2 \div 4 = 0.5\) |
Additional guidance
Accept rounded and truncated values,
eg \(2 \div 6 = 0.3(..)\), \(100 \div 6 = 16.6(..)\)