Upper and lower boundsIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

Bounds of 48 m, to the nearest metre?
Bounds of 12.4 s, to the nearest 0.1 s?
Bounds of 450 g, to the nearest 10 g?
How do you find the bounds of a rounded value?
Upper bound of a+b?
Upper bound of a-b?
Lower bound of a-b?
Upper bound of a\times b?
Upper bound of \frac ab?
Lower bound of \frac ab?
How do you choose the accuracy of a final answer?
If a claimed value is inside the bounds, is it proven?

Exam questions on Upper and lower bounds

A rectangular plot has length $48$ m and width $35$ m, each measured correct to the nearest metre.
Find the lower bound of the area of the plot.2 marks
A runner covers a distance of $100$ m, measured to the nearest metre, in a time of $12.4$ seconds, measured to the nearest $0.1$ second.
Calculate the lower bound of the runner's average speed, correct to 3 significant figures.2 marks
A parcel contains $6$ identical books and an empty box. Each book has mass $450$ g, correct to the nearest $10$ g. The box has mass $1.2$ kg, correct to the nearest $0.1$ kg.
Find the upper bound of the total mass of the parcel, in kilograms.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).