Foundation November 2024 Paper 3 Q12

OCRFoundationCurrent spec3 marksIndices

12 The table shows some numbers each written as a power of 4.

(a) Complete the table to show 16 and 64 each written as a power of 2. [2]

(b) A number is written as \(4^{20}\).

Use a pattern in the table to help you write this number as a power of 2. [1]

Mark scheme (a)

Answer

Marks

Part marks and guidance

Number	...as a power of 2
4	\(2 \times 2\)	\(2^2\)
16	\(2 \times 2 \times 2 \times 2\)	\(2^4\)
64	\(2 \times 2 \times 2 \times 2 \times 2 \times 2\)	\(2^6\)

B1 for \(2^4\)
B1 for \(2^6\)

OR

B1 for \(2 \times 2 \times 2 \times 2\) or \(2 \times 2 \times 2 \times 2 \times 2 \times 2\)