IB Maths AA HL Topic 1: Number and algebra 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

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Question 1

Paper 2, calculatorEasy6 marks

A laboratory measures the mass of two layers in a material sample as $6.40\times10^{-8}\,\text{kg}$ and $3.60\times10^{-9}\,\text{kg}$

(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 $5.00\times10^{-7}\,\text{kg}$

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

[2]

Question 2

Paper 2, calculatorEasy6 marks

(a)

Expand $(1+2x)^3$

[2]

(b)

For integer $r$ where $0\leq r\leq 6$ use your GDC to generate a table of $\binom{6}{r}$ Hence determine the value of $r$ for which $\binom{6}{r}=20$ Using the formula for $\binom{6}{r}$ verify your answer.

[4]

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