mathematics-end-f4t2-pp1-ms
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DATE 07 Dec 2025
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Document Type: This is a Study Notes, designed for Reviewing core curriculum material.
Context: Core educational material suitable for current academic requirements.
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This notes resource titled "mathematics-end-f4t2-pp1-ms" provides comprehensive exam preparation materials designed to test and enhance your understanding. This resource is structured to facilitate effective learning and retention of important information.
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MATHEMATICS FORM FOUR PAPER ONE MARKING SCHEME 2 Working 1 2 4 ๐ โน (8 โ 6 ) รท 2 3 9 51 โ 40 9 ( )ร 6 4 11 9 33 ร = 6 4 8 2 25 5 ๐ท โน ๐๐ + 5 4 4 5 5 15 + = 2 4 4 ๐ 33 4 1 โน ร =1 ๐ท 8 15 10 Download this and other FREE materials from https://teacher. ke/notes No 1 2 M1 M1 A1 1 27 โ3 16 4 ( ) ร( ) 125 81 2 1 M1 2 1 M1 125 3 16 4 ( ) ร( ) 27 81 5 3ร3 2 4ร4 ร( ) ( ) 3 3 5 2 2 1 25 2 50 23 ร = =1 ( ) ร( ) = 3 3 9 3 27 27 3 4 5 Marks 2ร3=6 Doctor A will give jabs to 3 teachers in 6 minutes Doctor B will give jabs to 2 teachers in 6 minutes 300 ร 6 = 1800 1800 รท 5 = 360 minutes ๐ โน 6๐2 โ 3๐๐ + 4๐๐ โ 2๐ 2 = (3๐ + 2๐)(2๐ โ ๐) A1 MI M1 A1 M1 ๐ท โน 4๐2 โ ๐ 2 = (2๐ โ ๐)(2๐ + ๐) M1 (3๐ + 2๐)(2๐ โ ๐) (3๐ + 2๐) ๐ โน = (2๐ + ๐)(2๐ โ ๐) (2๐ + ๐) ๐ท A1 sin ๐ด = cos ๐ต โน ๐ด + ๐ต = 90ยฐ 2๐ โ 50ยฐ + ๐ + 10 = 90ยฐ M1 3๐ = 130 M1 ๐= 130 1 = 43 ยฐ 3 3 A1 Download this and other FREE revision materials from https://teacher. ke/notes ๐ = 5๐ก 2 โ 2๐ก + 9 6 Acc = ๐๐ ๐๐ก M1 = 10๐ก โ 2 M1 A1 ๐๐ก=4 โน 10(4) โ 2 = 38 ๐/๐ 2 Heptagon ๐ = 7 7 Download this and other FREE materials from https://teacher. ke/notes Sum of interior angles = (2๐ โ 4)90 โน (14 โ 4)90 = 900ยฐ M1 (2๐ฆ + 35) + (3๐ฆ + 25) + (2๐ฆ โ 20) + 100 + 135 + 150 + 125 = 900 M1 7๐ฆ + 550 = 900 7๐ฆ = 350 A1 ๐ฆ = 50ยฐ 8 L. F = ( ) = 9 10 M1 M1 42 3 1 3 1 3 27 1 Volume of smaller cylinder = ร 12 474 = 462 ๐๐3 27 a) โ ๐๐๐ = 2 ร 70 = 140ยฐ b) ๏๐๐ ๐ = 900 (๐๐ข๐๐ ๐ก. ๐๐ฆ ๐กโ๐ ๐๐๐๐๐๐ก๐๐) ๏ ๐๐ ๐ = 90 โ 70 = 20ยฐ 23 โ 2๐ฅ > ๐ฅ + 2 A1 B1 B1 B1 21 > 3๐ฅ ๐ฅ<7 M1 ๐ฅ + 2 โฅ โ0. 25๐ฅ โฅ โ5 M1 ๐ฅ โฅ โ4 11 12 โ4 โค ๐ฅ < 7 A1 Integral values area โ4, โ3, โ2, โ1,0, 1,2,3, 4,5 ๐๐๐ 6 B1 M1 2๐ฬ + 2๐ฬ = 2(3๐ โ 2๐ + 3๐) + 2(2๐ โ 4๐ โ 3๐) = 6๐ โ 4๐ + 6๐ + 4๐ โ 8๐ โ 6๐ = 10๐ โ 12๐ |2๐ฬ + 2๐ฬ| = โ(10)2 + (โ12)2 = โ244 = ๐ข๐๐๐ก๐ 7800 ร 145. 1 132 560 Balance after spending = Amount US dollars = 30 100 339 768 105. 339 768 = 3 223 ๐๐๐๐๐๐๐ M1 A1 M1 M1 A1 Download this and other FREE revision materials from https://teacher. ke/notes Download this and other FREE materials from https://teacher. ke/notes 13 โ๐ด๐ต๐ถ โ complete Lines ๐ด๐ต ๐๐๐ ๐ต๐ถ Angle ABC Shortest distance BX๐ต๐ = 2 ยฑ 0.
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MATHEMATICS FORM FOUR PAPER ONE MARKING SCHEME 2 Working 1 2 4 ๐ โน (8 โ 6 ) รท 2 3 9 51 โ 40 9 ( )ร 6 4 11 9 33 ร = 6 4 8 2 25 5 ๐ท โน ๐๐ + 5 4 4 5 5 15 + = 2 4 4 ๐ 33 4 1 โน ร =1 ๐ท 8 15 10 Download this and other FREE materials from https://teacher.co.ke/notes No 1 2 M1 M1 A1 1 27 โ3 16 4 ( ) ร( ) 125 81 2 1 M1 2 1 M1 125 3 16 4 ( ) ร( ) 27 81 5 3ร3 2 4ร4 ร( ) ( ) 3 3 5 2 2 1 25 2 50 23 ร = =1 ( ) ร( ) = 3 3 9 3 27 27 3 4 5 Marks 2ร3=6 Doctor A will give jabs to 3 teachers in 6 minutes Doctor B wil...
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