This document has 20 pages. Any blank pages are indicated.[Turn over*2743470414*Cambridge IGCSE™DC (DE/CGW) 329211/3© UCLES 2024MATHEMATICS0580/41Paper 4 (Extended)May/June20242 hours 30 minutesYou must answer on the question paper.You will need: Geometrical instrumentsINSTRUCTIONS●Answer all questions.●Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.●Write your name, centre number and candidate number in the boxes at the top of the page.●Write your answer to each question in the space provided.●Do not use an erasable pen or correction fluid.●Do not write on any bar codes.●You should use a calculator where appropriate.●You may use tracing paper.●You must show all necessary working clearly.●Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.●For r, use either your calculator value or 3.142.INFORMATION●The total mark for this paper is 130.●The number of marks for each question or part question is shown in brackets [ ].
20580/41/M/J/24© UCLES 20241 (a)The table shows the areas, in km2, of the four largest rainforests in the world.RainforestArea (km2)Amazon 5 500 000Congo 2 000 000Atlantic 1 315 000Valdivian 250 000(i) Find the area of the Valdivian rainforest as a percentage of the area of the Amazon rainforest. ..............................................% [1](ii)Write, in its simplest form, the ratio of the areas of the rainforests Valdivian : Atlantic : Congo........................ : ...................... : ...................... [2](iii)The Amazon rainforest has 60% of its area in Brazil and 10% of its area in Colombia.4331% of the remaining area of the rainforest is in Peru.Find the percentage of the Amazon rainforest that is in Brazil, Colombia and Peru. ..............................................% [3]
30580/41/M/J/24© UCLES 2024[Turn over(iv)The area of the Amazon rainforest represents 5027 of the total area of rainforest in the world.Calculate the total area of rainforest in the world.Give your answer correct to the nearest 100 000 km2. .........................................mk2 [3](v)In the world, 60.7 hectares of rainforest are lost every minute.Calculate the total area, in hectares, of rainforest that is lost in 365 days.Give your answer in standard form. ................................... hectares [3](b)The Amazon river has a length of 6440 km, correct to the nearest 10 km.The Congo river has a length of 4400 km, correct to the nearest 100km.Calculate the upper bound of the difference between the lengths of the Amazon river and the Congo river. ........................................... km [3]
40580/41/M/J/24© UCLES 20242 (a)yx246–6–4–2–2–4–664T20On the grid, draw the image of(i) triangle T after a reflection in the x-axis[1](ii)triangle T after a translation by the vector 52--eo[2](iii)triangle T after an enlargement by scale factor 21- with centre ,11-`j. [2]
50580/41/M/J/24© UCLES 2024[Turn over(b)A shape P is enlarged by scale factor 3 to give shape Q.Shape Q is then enlarged by scale factor 52 to give shape R.The area of shape P is 10cm2.Calculate the area of shape R. .........................................mc2 [3]
60580/41/M/J/24© UCLES 20243 (a)Cxy412=(i) Find C when x5= and y8=.C= ................................................ [2](ii)Find the positive value of y when C15= and .x24= .y= ................................................ [2](b)Write as a single fraction in its simplest form.xx14253--+ ................................................. [3](c)Expand and simplify.xx2342+-``jj ........................................................................................ [3]
