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IB Maths AI SL 1.6 Approximation and percentage error Question Bank

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

  • Calculate percentage increase or percentage error from measured, estimated or rounded values.
  • Use upper and lower bounds to describe the possible value of a length, area or quantity.
  • Round an applied result appropriately and explain how approximation affects the answer.

SL 1.6—Approximation and error 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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