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IB Maths AI SL 1.6 Approximation and Error Questions

Practise IB Maths AI SL 1.6 by calculating percentage error, rounding bounds and practical approximations in applied problems.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

Exam points

  • Round values to decimal places or significant figures and state an appropriate level of accuracy for the calculation.
  • Use upper and lower bounds for rounded measurements to find an interval or bound for a derived quantity.
  • Calculate percentage error or percentage change from exact, measured, estimated or rounded values.
  • Judge whether the approximation, precision or uncertainty is sufficient for the stated practical decision and report the result appropriately.

IB Maths AI SL 1.6 Approximation and Error Questions question 1

[Maximum number: 6]

A marathon is a race over a distance of 42.19 km .

Question (a)

(a)

Write down 42.19 km correct to the nearest kilometre.

[ 3 ]

Question (b)

(b)

Find the percentage error if 42.19 km is rounded to the nearest kilometre.

Rolando and Davi are training to run a marathon. They both start their training in the same week.
Rolando runs 6 km in the first week, 8 km in the second week and 10 km in the third week. In each subsequent week he runs 2 km further than the previous week.

[ 3 ]
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