1.6 Approximation and errorIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 1.6 Approximation and error

1. The width of a doorway is recorded as $0.86$ m, correct to 2 decimal places.
   The width of the doorway is later found to be exactly $0.8632$ m. Calculate the percentage error in the recorded width.2 marks
2. A cyclist rides $41.8$ km in $2.3$ hours, with the distance and the time each given to the accuracy shown.
   A second student calculates the speed as $1.8$ km h$^{-1}$. Use your estimate to explain why this answer is unreasonable, and suggest the likely error.2 marks
3. A rectangular field is measured as $85$ m by $42$ m, with each measurement correct to the nearest metre.
   Find the lower bound and the upper bound of the area of the field.3 marks