Mathematics Specification A - 4MA1 PearsonEdexcel

Proportion

Muhtasari

When two quantities are linked so that changing one always changes the other in a predictable way, we say they are in proportion. This Higher-tier topic builds on the ratio and proportion work from Foundation by introducing algebraic equations for direct and inverse relationships.

You will learn to set up proportionality equations using a constant of proportionality, solve problems involving direct and inverse proportion (including squared and cubed relationships), and connect the algebra to the shape of the corresponding graph.

Malengo

  1. [Higher] Set up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations

Maelezo ya Somo

The fuel cost for a journey doubles when the distance doubles. The time to fill a pool halves when you use twice as many hoses. These two patterns, direct and inverse proportion, have distinct algebraic forms that examiners test at Higher tier.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la 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. If y is directly proportional to x, which graph shows this? A) A straight line through the origin B) A curve through the origin C) A straight line not through the origin D) A horizontal line Answer: A
  2. y is inversely proportional to x. When x = 5, y = 4. What is y when x = 10? A) 8 B) 2 C) 20 D) 1 Answer: B
  3. y is proportional to x squared. When x = 3, y = 18. What is k? A) 6 B) 2 C) 9 D) 3 Answer: B
  4. Which equation represents inverse proportion? A) y = kx B) y = k/x C) y = kx + c D) y = k + x Answer: B
  5. y is inversely proportional to the square root of x. When x = 4, y = 6. Find y when x = 16. A) 3 B) 12 C) 1.5 D) 24 Answer: A

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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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