IB Maths AA HL AA 1.2 Exponents and logarithms 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, no calculatorPaper 2, calculator
Difficulty
EasyMediumHard

Question 1

Paper 2, calculatorEasy6 marks

A laboratory measures the mass of two layers in a material sample as 6.40×10−8 kg6.40\times10^{-8}\,\text{kg} and 3.60×10−9 kg3.60\times10^{-9}\,\text{kg}

(a)

Determine the combined mass of the two layers. Give your answer in scientific notation.

[2]
(b)

A batch contains five identical samples, each with the combined mass found in part (a).

Determine the total mass of the batch. Give your answer in scientific notation.

[2]
(c)

The storage limit for the batch is 5.00×10−7 kg5.00\times10^{-7}\,\text{kg}

Using your answer to part (b), determine the mass by which the batch is below this limit. Give your answer in scientific notation.

[2]