1.6 Approximation and errorIB Maths: Applications and Interpretation HL: Flashcards

What these 13 flashcards ask

What is the margin for a value given to 1 d.p.?
Bounds for x=4.1 to 1 d.p.?
Bounds for l=85 to the nearest metre?
Why is the upper bound not included?
Lower bound of an area l\times w?
Formula for percentage error?
What do vA and vE stand for?
What is a rounding error?
How accurately should a result be given?
How do you estimate 41.8\div2.3?
Round 0.004567 to 2 s.f.
Name two checks for a reasonable answer.
Default accuracy in IB exams?

Exam questions on 1.6 Approximation and error

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).