Lemmara logoLemmaraWorked solution

0580/33 Oct/Nov 2022, Question 3: Upper and Lower Bounds

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 8 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Alaska data question: convert a population figure to words, compute people per square kilometre, find Anchorage's share as a percentage, bound a rounded race length, and compare heights and temperatures of Denali and Everest.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (ai) · 1 mark

Express the number 735720 in words.

  1. 1735 720 = seven hundred and thirty-five thousand, seven hundred and twenty

AnswerSeven hundred and thirty-five thousand, seven hundred and twenty

Part (aii) · 1 mark

Using 1477300 square kilometres, calculate how many people there are per square kilometre on average.

  1. 1735 720 ÷ 1 477 300 = 0.4980…

Answer0.498 or 0.4980…

Part (aiii) · 1 mark

Work out what percentage of Alaska's 735720 people live in Anchorage, which has 291830.

  1. 1291 830 ÷ 735 720 × 100 = 39.66… ≈ 39.7%

Answer39.7 or 39.66 to 39.67

Part (b) · 2 marks

Given L = 1569 km to the nearest kilometre, state the lower and upper bounds for L.

  1. 1Half a kilometre either side of 1569
  2. 21568.5 ≤ L < 1569.5

Answer1568.5, 1569.5

Part (ci) · 1 mark

Work out how much taller Everest (8849 m) is than Denali (6190 m).

  1. 18849 − 6190 = 2659 m

Answer2659

Part (cii) · 1 mark

For Denali, calculate the gap between its maximum of −9 °C and minimum of −20 °C.

  1. 1−9 − (−20) = 11 °C

Answer11

Part (ciii) · 1 mark

Everest's maximum is 27 °C below Denali's maximum of −9 °C; find the value to fill in the table.

  1. 1−9 − 27 = −36 °C

Answer−36

Stuck on a step? Read the free lesson: Upper and Lower Bounds

Practise more upper and lower bounds questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on upper and lower bounds

Also searched as: 0580/33/O/N/22 · 0580_w22_qp_33 · 0580 w22 33 · question 3.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.