Mathematics Specification A - 4MA1 PearsonEdexcel

Ratio And Proportion

Bayani Gaba-gaba

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.

Manufura

  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

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Takardar Darasi

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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Nazarin Darasi

Barka da kammala darasi akan Ratio And Proportion. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  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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Yi aikin wadannan tambayoyi a cikin manhaja

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