OCR Further Additional Pure 2021 November — Question 1 3 marks

Exam BoardOCR
ModuleFurther Additional Pure (Further Additional Pure)
Year2021
SessionNovember
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicNumber Theory
TypeBase conversion
DifficultyModerate -0.8 This is a straightforward base conversion problem requiring repeated division by 16 and tracking remainders. While it involves multiple steps (5 divisions for a 5-digit number), the algorithm is mechanical and requires no problem-solving insight—just careful arithmetic and knowledge of hexadecimal notation (A-F for 10-15). Easier than average A-level questions which typically require more conceptual understanding.
Spec8.02a Number bases: conversion and arithmetic in base n

1 In this question you must show detailed reasoning. Express the number \(\mathbf { 4 1 7 2 3 } _ { 10 }\) in hexadecimal (base 16).

Question 1:
AnswerMarks
141723 = 10163 + 2162 + 1516 + 11
= A2FB
AnswerMarks
16M1
A1
A1
AnswerMarks
[3]1.1
1.1
AnswerMarks
1.2Writing in terms of powers of 16;
correct
Question 1:
1 | 41723 = 10163 + 2162 + 1516 + 11
= A2FB
16 | M1
A1
A1
[3] | 1.1
1.1
1.2 | Writing in terms of powers of 16;
correct
1 In this question you must show detailed reasoning.
Express the number $\mathbf { 4 1 7 2 3 } _ { 10 }$ in hexadecimal (base 16).

\hfill \mbox{\textit{OCR Further Additional Pure 2021 Q1 [3]}}