Mathematics Specification A - 4MA1 PearsonEdexcel

Ratio And Proportion

Muhtasari

From mixing paint colours to sharing prize money, ratios describe how quantities compare to each other. Proportion extends that idea to situations where one quantity scales up or down in step with another. Together, they form a topic that appears across almost every Edexcel paper.

You will learn to simplify ratios, divide quantities in a given ratio, recognise direct proportion and solve a wide range of word problems, all while building the algebraic reasoning that connects ratio work to fractions and percentages.

Malengo

  1. Use ratio notation, including reduction to its simplest form and its various links to fraction notation
  2. Divide a quantity in a given ratio or ratios
  3. Use the process of proportionality to evaluate unknown quantities
  4. Calculate an unknown quantity from quantities that vary in direct proportion
  5. Solve word problems about ratio and proportion

Maelezo ya Somo

A recipe calls for 200 g of flour to every 50 g of butter. A map shrinks a 5 km road into a 2 cm line. Whenever we describe how two quantities relate in size, we are using ratio or proportion.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Ratio And Proportion. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. Simplify the ratio 36 : 48. A) 4 : 3 B) 3 : 4 C) 6 : 8 D) 9 : 12 Answer: B
  2. Divide 200 in the ratio 3 : 2. What is the larger share? A) 80 B) 100 C) 120 D) 150 Answer: C
  3. If 6 books cost 42, what do 10 books cost? A) 60 B) 70 C) 48 D) 84 Answer: B
  4. The ratio of cats to dogs is 2 : 5. What fraction are cats? A) 2/5 B) 5/7 C) 2/7 D) 5/2 Answer: C
  5. A map has a scale 1 : 50 000. What real distance does 3 cm represent? A) 150 m B) 1.5 km C) 15 km D) 150 km Answer: B

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Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

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Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

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