Foundation November 2019 Paper 2 Q16

OCRFoundationCurrent spec6 marksIndicesSubstitution

16 Martina has answered some questions on algebra.
In each question, she has made an error.

Describe her error and give the correct answer to each problem.

(a)

Question 1

Simplify.   \(2a \times a \times a\)

Martina’s answer    \(4a\)

Martina’s error is ..................

Correct answer = .................. [2]

(b)

Question 2

Simplify.   \(\dfrac{x^{10}}{x^2}\)

Martina’s answer    \(x^5\)

Martina’s error is ..................

Correct answer = .................. [2]

(c)

Question 3

\(s = ut + \tfrac{1}{2}at^2\)

Find \(s\) when \(u = 0\), \(t = 5\) and \(a = 6\).

Martina’s solution    \(s = 0 \times 5 + \tfrac{1}{2} \times 6 \times 5^2\)
\(s = 0 + 15^2\)
\(s = 225\)

Martina’s error is ..................

Correct answer = .................. [2]