IB Maths AI SL AI 2.2 Modelling 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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Paper 1 Paper 2

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Question 1

Paper 1Easy7 marks

A technician records the volume, $V$ of water in a container as it is filled from a tap.

$t$ (minutes)	0	2	4	6
$V$ (litres)	2.6	4.0	5.5	7.0

(a)

State one feature of the measurements that supports using a linear model for $V$

[1]

(b)

Using the measurements at $t=0$ and $t=6$ determine the gradient $m$ and intercept $c$ of the linear model $V(t)=mt+c$ Hence write down the model.

[3]

(c)

Use your model to estimate the volume at $t=5$ minutes, giving your answer to the nearest $0.1$ litre. State whether this prediction involves extrapolation, giving a reason.

[3]

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