PYTHAGORAS THEOREM. Answers. Edexcel GCSE Mathematics (Linear) 1MA0
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1 Edexel GSE Mthemtis (Liner) 1M0 nswers PYTHGORS THEOREM Mterils required for exmintion Ruler grduted in entimetres nd millimetres, protrtor, ompsses, pen, H penil, erser. Tring pper my e used. Items inluded with question ppers Nil Instrutions Use lk ink or ll-point pen. Fill in the oxes t the top of this pge with your nme, entre numer nd ndidte numer. nswer ll questions. nswer the questions in the spes provided there my e more spe thn you need. lultors my e used. Informtion The mrks for eh question re shown in rkets use this s guide s to how muh time to spend on eh question. Questions lelled with n sterisk (*) re ones where the qulity of your written ommunition will e ssessed you should tke prtiulr re on these questions with your spelling, puntution nd grmmr, s well s the lrity of expression. dvie Red eh question refully efore you strt to nswer it. Keep n eye on the time. Try to nswer every question. hek your nswers if you hve time t the end.
2 1. PQR is right-ngled tringle. PQ = 16 m. PR = 8 m. lulte the length of QR. Give your nswer orret to 2 deiml ples. ² + 8² = 16² ² + 64 = 256 ² = 192 = m 2. X 3.2 m Y 1.7 m Digrm NOT urtely drwn Z XYZ is right-ngled tringle. XY = 3.2 m. XZ = 1.7 m. lulte the length of YZ. 1.7² + 3.2² = ² ² = = m
3 3. Digrm NOT urtely drwn 8 m is right-ngled tringle. = 8 m, = 11 m. lulte the length of. 11 m 11² + 8² = ² ² = 185 = m m L Digrm NOT urtely drwn ngle MLN = 90. LM = 3.7 m. MN = 6.3 m. 6.3 m Work out the length of LN. M N 3.7² + ² = 6.3² ² = ² = 26 = LN =... m
4 5. 10 m 17 m Digrm NOT urtely drwn D is retngle. = 17 m. D = 10 m. D lulte the length of the side D. Give your nswer orret to one deiml ple. ² + 10² = 17² ² = 289 ² = 189 = m 6. Digrm NOT urtely drwn The digrm shows three ities. Norwih is 168 km due Est of Leiester. York is 157 km due North of Leiester. lulte the distne etween Norwih nd York. Give your nswer orret to the nerest kilometre. 168² + 157² = ² ² = ² = = km
5 7. retngulr television sreen hs width of 45 m nd height of 34 m. Digrm NOT urtely drwn Work out the length of the digonl of the sreen. Give your nswer orret to the nerest entimetre. 45² + 34² = ² ² = ² = 3181 = m (4 mrks) 8. 7 m 7 m 4² + ² = 7² 16 + ² = 49 ² = 33 = M 8 m Work out the length, in entimetres, of M. Give your nswer orret to 2 deiml ples. Digrm NOT urtely drwn 5.74 m
6 m D 1.9 m 3.2 m Digrm NOT urtely drwn D is trpezium. D is prllel to. ngle = ngle = 90. D = 2.1 m, = 1.9 m, D = 3.2 m. Work out the length of. = = ² + 1.9² = 3.2² ² = ² = 6.63 = m (4 mrks) m 6 m Digrm NOT urtely drwn is right-ngled tringle. = 6 m. = 9 m. Work out the length of. 6² + ² = 9² 36 + ² = 81 ² = 45 = m
7 11. 10m 20m Digrm NOT urtely drwn In tringle, = 10 m = 20 m ngle = 90 Work out the length of. You must stte the units in your nswer. 20² + 10² = ² ² = ² = 500 = m... (4 mrks) 12. X 5.6 m Y 10.5 m Z In the tringle XYZ XY = 5.6 m YZ = 10.5 m ngle XYZ = 90 Work out the length of XZ. 10.5² + 5.6² = ² ² = ² = = 11.9 Digrm NOT urtely drwn m
8 13. D is trpezium. 6 8 D = 10 m = 9 m D = 3 m ngle = ngle D = 90 8 lulte the length of. ² + 6² = 10² ² + 36 = 100 ² = 64 = 8 8² + 9² = ² = ² ² = 145 = m 14. ldder is 6 m long. The ldder is pled on horizontl ground, resting ginst vertil wll. ( 5 mrks) The instrutions for using the ldder sy tht the ottom of the ldder must not e loser thn 1.5 m from the ottom of the wll. How fr up the wll n the ldder reh? Give your nswer orret to 1 deiml ple. h² + 1.5² = 6² h² = 36 h² = h = h m (4 mrks)
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