2025-kisii-sch-maths-form-4-p1-marking-scheme
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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: Standard material from the 2025 academic period.
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MATHEMATICS FORM 4 PAPER 1 MARKING SCHEMES 1. 9 5 7 M1 – = 27-20 = 12 4 3 1 1 1 - 9 = 3-2 = 18 6 18 7 18 21 2 21 M1 × 2 = 2 12 15 - 8 = 84-15 M1 8 69 = 8 5 A1 =88 2. A1 360 M1 (2n – 4 ) 90 = ( 𝑛 ) 40 180n2 – 360n – 14400=0 n2 - 2n - 80 = 0 MATHS 121/1 M1 1 FORM 4 MS n=2 ± 324 2 A1 n= 10 4. 840= 23 × 3× 5× 7 396= 22 ×32×11 M1 GCD = 22 × 3 = 12 Area = 12 ×12 =144 M2 M1 A1 For Both 5. 20 × 2950000 100 = 590,000 yen 590,000 118 = 5000 dollars M1 76 × 5000 M1 = sh. 5 ≤ X B1 X–15 > 2X-18 3>X 1. M1 3 –3 = 486 3X 3 3X 3 × 3 – 3 × 32 = 486 3(x+1) 3X+2 32X (27-9) = 486 33X = 33 3X = 3 MATHS 121/1 M1 2 FORM 4 MS X= 1 A1 8. Let loss be X Profit = 3X 1040-3X=880 +X 1040 – 880 = 3X+X 160=4X X=40 M1 A1 Buying price = 880+40 = 920 12 9. 8 = B1 3 2 9 ASF = 4 M1 4 1 Area PST = 9 ×336 = 149 3 M1 Area QRST = 336-149⅓ A1 = 186 ⅔ cm2 10. 5(X-10) km 250km (5X) km (5X)2 + (5X+50)2 = 2502 25X2+500X-60000=0 X2+10X-1200=0 X2 + 40X – 30X - 1200 = 0 X(X+40) – 30 (X+40)=0 (X-30) (X+40) =0 MATHS 121/1 M1 M1 3 FORM 4 MS X=30 A1 30+10 = 40Kmh-1 B1 11. Sin X + 2 cos X 1-Sin X 12 Tan X = 5 12 5 M1 22 + 2 (13) = 13 13 12 1 1 − 13 = 13 22 M1 13 = 13 × 1 = 22 12. 2 (X+7) (X-7) × 3X +5 (3X+5) (X-7) X+7 M1 M1 =2 A1 3 M1 14. 3X+ 8 = 16+ X + 4 X + 12 5 X = 20 4 X= 16 A1 Fatuma = 3×16 MATHS 121/1 4 FORM 4 MS = 48 yrs.
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MATHEMATICS FORM 4 PAPER 1 MARKING SCHEMES 1. 9 5 7 M1 – = 27-20 = 12 4 3 1 1 1 - 9 = 3-2 = 18 6 18 7 18 21 2 21 M1 × 2 = 2 12 15 - 8 = 84-15 M1 8 69 = 8 5 A1 =88 2. 3 1.9 × 0.032 × 0.08 × 1000000 20 × 0.0038 × 1000000 = 3 19×32×8 20×38 =3 64 1000 =3 43 103 M1 M1 4 = 10 2 = 5 3. A1 360 M1 (2n – 4 ) 90 = ( 𝑛 ) 40 180n2 – 360n – 14400=0 n2 - 2n - 80 = 0 MATHS 121/1 M1 1 FORM 4 MS n=2 ± 324 2 A1 n= 10 4. 840= 23 × 3× 5× 7 396= 22 ×32×11 M1 GCD = 22 × 3 = 12 Area = 12 ×12 =144 M2 M1 A1 For Both 5. 2...
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