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.

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Question 1

Paper 1Medium6 marks

A laboratory receives microscopic particles in sealed deliveries. Figure 1 shows the mass of one particle and the numbers of particles and cartridges in a cartridge and a delivery, respectively. The diagram is not to scale.

(a) Calculate the mass of particles in one cartridge. Give your answer in standard form, correct to 2 significant figures. [2]

(b) Calculate the total mass of particles in one delivery. Give your answer in standard form, correct to 2 significant figures. [2]

(c) A laboratory requires at least $1.0\,\text{g}$ of particles. Find the minimum whole number of deliveries required. [2]

(a)

Calculate the mass of particles in one cartridge. Give your answer in standard form, correct to 2 significant figures.

[2]

(b)

Calculate the total mass of particles in one delivery. Give your answer in standard form, correct to 2 significant figures.

[2]

(c)

A laboratory requires at least $1.0\,\text{g}$ of particles. Find the minimum whole number of deliveries required.

[2]

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