IB Maths AI HL AI 1.1 Number and approximation questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1 Paper 2

Difficulty

Easy Medium Hard

Question 1

Paper 1Hard6 marks

A remote-sensing archive receives data from two instruments. Instrument A records $4.8\times10^{12}$ observations, each requiring $2.7\times10^3$ bytes. Instrument B produces $2.24\times10^{15}$ bytes of data. The archive has $4.1\times10^{15}$ bytes of free space. Each additional storage module can hold at most $3.6\times10^{14}$ bytes.

(a)

Show that the data from Instrument A require $1.296\times10^{16}$ bytes. Give your answer in scientific notation.

[2]

(b)

Determine the least number of additional storage modules required to store all the data from both instruments. Justify that this number is least.

[4]