GCSE Maths Algebra Revision LE

ืžื›ื™ืœ ืžื•ื“ืขื•ืชืจื›ื™ืฉื•ืช ืžืชื•ืš ื”ืืคืœื™ืงืฆื™ื”
3.5
150 ื‘ื™ืงื•ืจื•ืช
+10Kโ€
ื”ื•ืจื“ื•ืช
ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

ืงื— ื ืฉื™ืžื” ื•ืœืขืฉื•ืช ื”ื›ื ืช GCSE ืฉืœืš ืคืขื™ืœื•ืช ืžื”ื ื” ืขื ืืคืœื™ืงืฆื™ื•ืช ื”ืื•ืกืฃ ืฉืœ ื‘ื—ื™ื ื•ืช ืžืขื‘ืจ ืฉืœื ื•. ื”ื ื” ื‘ืื™ื ืืคืœื™ืงืฆื™ืช ื”ืืœื’ื‘ืจื” ื”ืžืงื™ืคื” ื‘ื™ื•ืชืจ.

** ื”ืขืจื”: ื–ื•ื”ื™ ื’ืจืกื” ืœื™ื™ื˜ ืฉื‘ื• ืจืง ื›ืžื” ื ื•ืฉืื™ื ื–ืžื™ื ื™ื. ื›ืœ ื”ื ื•ืฉืื™ื ื”ื ืขื•ืœื™ื ื”ื ื•ืชืจื™ื ื™ื”ื™ื• ื ืขื•ืœ ืขืœ ืงื ื™ื™ืช ื’ืจืกื” ืžืœืื” ืžืชื•ืš ื’ืจืกืช ืœื™ื™ื˜ ื–ื”. ื–ื• ืชื”ื™ื” ืจื›ื™ืฉืช ืคืขื ืื—ืช ื›ื“ื™ ืœืคืชื•ื— ืืช ื›ืœ ืคืจื™ื˜ื™ื ื”ื ืขื•ืœื™ื ื‘ืžื›ื” ืื—ืช.

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ื’ืจืกื” ืžืœืื” 730 ืฉืืœื•ืช ืขืœ ืคื ื™ 73 subtopics.
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โ€ข ืื™ื›ื•ืช ื’ื‘ื•ื”ื” ื‘ื™ื•ืชืจ ื•ืืช ื”ื›ืžื•ืช
730 ืฉืืœื•ืช 73 ื”ืขืจื•ืช ืขื“ื›ื•ืŸ ื‘ื›ืœ ืจืง ืขื‘ื•ืจ ืืœื’ื‘ืจื” !. ืชื•ื›ืŸ ืื™ื›ื•ืชื™ ืฉื ื›ืชื‘ ืขืœ ื™ื“ื™ ืžืชื™ืžื˜ื™ืงืื™ ืžื ื•ืกื”.

โ€ข ืœืฉื ื•ืช ืœืคื™ ื ื•ืฉืื™ื
ื‘ื™ื˜ื•ื™ื™ื, ืžืฉื•ื•ืื•ืช, ืื™-ืฉื•ื•ื™ื•ืŸ, ืžืฉื•ื•ืื•ืช ื‘ื™ื˜ื•ื™ ืžืชืงื“ืžื•ืช, ื“ืคื•ืกื™ื ื•ืจืฆืคื™ื, ื’ืจืคื™ื.

โ€ข ื‘ื“ื™ืงื” ืžื“ื•ืžื”
ืฉืืœื•ืช ืžืขื•ืจื‘ื•ืช ืžื›ืœ ื”ื ื•ืฉืื™ื.

โ€ข ืกืงื™ืจื” ืขื ื”ืกื‘ืจ
ืขื‘ืจ ืขืœ ื›ืœ ืฉืืœื” ื‘ืกื•ืฃ ื”ืžื‘ื—ืŸ. ื“ืข ืืช ื”ืชืฉื•ื‘ื” ื”ื ื›ื•ื ื” ืขื ื”ืกื‘ืจ ืžืคื•ืจื˜ ืขื‘ื•ืจ ื›ืœ ืฉืืœื”.

โ€ข ื”ืชืงื“ืžื•ืช METER
ืขื ื”ืชืงื“ืžื•ืช ื”ื™ื™ื—ื•ื“ื™ืช ืฉืœื ื• ืชื›ื•ื ืช ืžืขืงื‘ ื›ื•ืœืœ ืชืจืฉื™ืžื™ ืขื•ื’ื” ื•ื’ืจืคื™ื ื‘ืจ ื”ืžืจืื” ืืช ื”ื”ืชืงื“ืžื•ืช ืฉืœืš, ืืชื” ื™ื•ื“ืข ืฉืืชื” ืžื•ื›ืŸ ืœืงื—ืช ืขืœ ืขืฆืžื• ืืช ื”ืžื‘ื—ืŸ ื”ืืžื™ืชื™ ืขืœ ื”ืœื•ื— ื›ืืฉืจ ืžื“ ื”ื”ืชืงื“ืžื•ืช ืฉืœืš ืื•ืžืจ 100%.

ืขื•ื“ ืคืจื˜ื™ื ืขืœ ื ื•ืฉืื™ื:

1. ื‘ื™ื˜ื•ื™ื™ื, ืžืฉื•ื•ืื•ืช ื•ื›ื•:

ื”ืฉืคื” ืฉืœ ืืœื’ื‘ืจื”
ื‘ื™ื˜ื•ื™ื™ ืคื™ืฉื•ื˜ (1)
ื‘ื™ื˜ื•ื™ื™ ืคื™ืฉื•ื˜ (2)
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืขื ืกื•ื’ืจื™ื™ื
ื”ื›ืคืœืช ื‘ื™ื˜ื•ื™ื™ื
ืžืฉื•ื•ืื•ืช ืขื ืžืฉืชื ื” ืžืฉื ื™ ืฆื™ื“ื™ (1)
ื ื•ืกื—ื•ืช, ื‘ื™ื˜ื•ื™ื™ื ื•ืžืฉื•ื•ืื•ืช
ืจื—ื‘ื”, ื‘ืคื™ืฉื•ื˜ ืคืจื•ืง (1)
ื ื•ืกื—ืื•ืช ืกื™ื“ื•ืจ ืžื—ื“ืฉ (1)
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืœื™ื ื™ืืจื™ื•ืช
ืžืฉื•ื•ืื•ืช ืขื ืžืฉืชื ื” ืžืฉื ื™ ืฆื™ื“ื™ (2)
ื”ื’ื“ืจืช ืžืฉื•ื•ืื•ืช
ื”ื—ืœืคื”
ื ื™ืกื™ื•ืŸ ื•ืฉื™ืคื•ืจ
ื–ื”ื•ื™ื•ืช
ื”ืจื—ื‘ื”, ื‘ืคื™ืฉื•ื˜ factorisation (2)
ื ื•ืกื—ืื•ืช ืกื™ื“ื•ืจ ืžื—ื“ืฉ (2)
ืจื—ื‘ืช ืจื™ื‘ื•ืขื™ืช
ืžืชื™ื™ืฉื‘ ื‘ืกื•ื’ืจื™ื™ื
ืคืจืฉ ืจื™ื‘ื•ืขื™ื
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืจื™ื‘ื•ืขื™ื•ืช ืขืœ ื™ื“ื™ factorisation (1)
Factorising ืจื™ื‘ื•ืขื™ืช ืขื ืžืงื“ื ื™ื—ื™ื“ืช xยฒ
ืคืชืจื•ืŸ quadratics ืฉืœ ื˜ื•ืคืก axยฒ + bx + c = 0
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืจื™ื‘ื•ืขื™ื•ืช ืขืœ ื™ื“ื™ factorisation (2)
ืคืชืจื•ืŸ ืจื™ื‘ื•ืขื™ืช ื›ืœืœื™ืช ืขืœ ื™ื“ื™ ื ื•ืกื—ื” ืจื™ื‘ื•ืขื™ืช
ื‘ืืžืฆืขื•ืช ื ื•ืกื—ื” ืจื™ื‘ื•ืขื™ืช ืœืœื ืžื—ืฉื‘ื•ืŸ
ืคืชืจื•ืŸ ื‘ืขื™ื•ืช ืขื ืžืฉื•ื•ืื•ืช ืจื™ื‘ื•ืขื™ื•ืช
ืคืชืจื•ืŸ ืžืฉื•ื•ืื” ืจื™ื‘ื•ืขื™ืช ืขืœ ื™ื“ื™ ื”ืฉืœืžื” ืœืจื™ื‘ื•ืข
ืžืฉื•ื•ืื•ืช ืจื™ื‘ื•ืขื™ื•ืช ืœืœื ืคืชืจื•ืŸ

2. ืื™ ืฉื•ื•ื™ื•ืŸ (F & H)

ืื™ ืฉื•ื•ื™ื•ืŸ
ืคืชืจื•ืŸ ืื™-ืฉื•ื•ื™ื•ื ื•ืช
ืื™ ืฉื•ื•ื™ื•ืŸ ืขืœ ืžืกืคืจ ืฉื•ืจื•ืช
ืื™ ืฉื•ื•ื™ื•ืŸ ื’ืจืคื™
ื™ื•ืชืจ ืื™ ืฉื•ื•ื™ื•ืŸ ืื—ื“

3. ื“ืคื•ืกื™ ืจืฆืคื™ื (F)

ื“ืคื•ืกื™ ืžืกืคืจ
ืจืฆืคื™ ืžืกืคืจ
ืžื•ื ื— ื”ืžื™ ื™ื•ื“ืข ื›ืžื” ืฉืœ ืจืฆืฃ
ืžืฆื™ืืช ื˜ื•ื•ื— ื”ืžื™ ื™ื•ื“ืข ื›ืžื”
ืจืฆืคื™ื ืžื™ื•ื—ื“ื™ื
ืžืฆื™ืืช ื˜ื•ื•ื— ื”ืžื™ ื™ื•ื“ืข ื›ืžื” ืžื“ืคื•ืกื™ ื ืชื•ืŸ

4. ืžืฉื•ื•ืื•ืช ื‘ื™ื˜ื•ื™ื™ื ืžืชืงื“ืžื•ืช (H)

ืฉื™ืžื•ืฉื™ื ืฉืœ ื’ืจืคื™ื ืœืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืกื™ืžื•ืœื˜ื ื™ื•ืช ืœื™ื ื™ืืจื™
ืžืฉื•ื•ืื•ืช ืกื™ืžื•ืœื˜ื ื™
ื”ื’ื“ืจืช ืžืฉื•ื•ืื•ืช ืกื™ืžื•ืœื˜ื ื™ื•ืช
ืฉื‘ืจื™ื ืืœื’ื‘ืจื™ื™ื
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ืขื ืฉื‘ืจื™ื ืืœื’ื‘ืจื™ื™ื
ืœื™ื ืืจื™ืช ื•ืœื ืœื™ื ืืจื™ืช ืžืฉื•ื•ืื•ืช ืกื™ืžื•ืœื˜ื ื™ื•ืช

5. ื’ืจืคื™ื (F)

ืงื•ืื•ืจื“ื™ื ื˜ื•ืช ืฉืœื™ืœื™ื•ืช
ื’ืจืคื™ ืžืจื”
ืฆื™ื•ืจ ื’ืจืคื™ื ืžื˜ื‘ืœืื•ืช
ื’ืจืคื™ ืžืกืขื•ืช
ื’ืจืคื™ื ืœื™ื ืืจื™
ืื•ืจื›ื™ ืงื• ืืžืฆืข ื ืงื•ื“ื•ืช
ืขื™ืจื•ื‘ื™ื
ื’ืจืคื™ื ื—ื™ื™ื ืืžื™ืชื™ื™ื
ืฉื™ื˜ืช ื˜ื™ื•ื— ืขื‘ื•ืจ ืฆื™ื•ืจ ื’ืจืคื™ื
ืฆื™ื•ืจ ื’ืจืคื™ื ืจื™ื‘ื•ืขื™ืช
ืงืจื™ืืช ืขืจื›ื™ื ืž ื’ืจืคื™ื ืจื™ื‘ื•ืขื™ืช
ื‘ืืžืฆืขื•ืช ื’ืจืคื™ื ื›ื“ื™ ืœืคืชื•ืจ ืžืฉื•ื•ืื•ืช ืจื™ื‘ื•ืขื™ื•ืช

6. ื’ืจืคื™ื (H)

ืงื•ืื•ืจื“ื™ื ื˜ื•ืช 3D
ืงื•ื•ื™ื ืžืงื‘ื™ืœื™ื, ืžืื•ื ื›ื™ื
ืฉื™ื˜ืช Gradient-ื™ื™ืจื•ื˜
ืฆื™ื•ืจ ืงื• ืขื ืฉื™ืคื•ืข ื ืชื•ืŸ
ืžืฆื™ืืช ื”ืžืฉื•ื•ืื” ืฉืœ ืงื• ืžืŸ ื”ื’ืจืฃ ืฉืœื”
ืฉื™ืžื•ืฉื™ื ืฉืœ ื ื•ืกื—ืื•ืช ืื• ื›ืœืœื™ื ืžืžืฆื graphs-
ื ืงื•ื“ื•ืช ืžืฉืžืขื•ืชื™ื•ืช ืฉืœ ื’ืจืฃ ืจื™ื‘ื•ืขื™ืช
ื’ืจืคื™ื ืžืขื•ืงื‘ื™ื
ื’ืจืคื™ ืžืขืจื™ื›ื™ื
ื’ืจืคื™ ื’ื•ืžืœื™ืŸ
ื’ืจืคื™ื ืฉืœ ืคื•ื ืงืฆื™ื•ืช ืœื•ืงื•ืกื™ื ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”
ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช ื‘ืฉื™ื˜ืช ื”ื—ื™ืชื•ืš
ื’ืจืคื™ ืกื™ื ื•ืก ื•ืงื•ืกื™ื ื•ืก
ื˜ืจื ืกืคื•ืจืžืฆื™ื•ืช ืฉืœ ื”ื’ืจืฃ y = f (x)
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
4 ื‘ื™ื•ืœื™ 2024

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.

ื“ื™ืจื•ื’ื™ื ื•ื‘ื™ืงื•ืจื•ืช

3.5
128 ื‘ื™ืงื•ืจื•ืช

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Sangeetha Bhatta
webrichappsindia@gmail.com
sector 18, plot 44 603 Siddhivinayak splendour ulawe, raigad, Maharashtra 410206 India
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