IB Maths AI SL 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.

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Question 1

Paper 1Medium6 marks

A laboratory sample contains $3.6 \times 10^{13}$ identical nanoparticles. Each nanoparticle has a mass of $4.7 \times 10^{-19}$ kg.

(a)

Calculate the total mass of the nanoparticles in the sample, in kg. Give your answer in scientific notation.

[2]

(b)

A filter removes nanoparticles with a combined mass of $5.64 \times 10^{-6}$ kg. Using your answer to part (a), determine the number of nanoparticles remaining. Give your answer in scientific notation.

[4]

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