Mathematics Specification B - 4MB1 PearsonEdexcel

Variation And Proportion

Muhtasari

Some quantities grow together, others shrink as one another grows, and the pattern is rarely a straight multiplication. Variation gives you a compact algebraic way to describe exactly how two quantities are linked, whether one is proportional to the other, to its square, to its cube, or to its reciprocal.

Once you can spot the type of variation from a sentence and convert it into an equation with a constant k, every problem becomes the same three-step routine: find k, write the formula, then use it. This topic builds that routine until it is automatic.

Malengo

  1. Understand and use direct and indirect proportion and variation

Maelezo ya Somo

When you double the length of a piece of ribbon, its cost doubles too, since both increase in exactly the same ratio. That relationship is called direct proportion, and it is only one of several standard patterns the 4MB1 specification expects you to recognise, write as an equation, and use to solve problems.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Variation 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. y is directly proportional to x. If y = 20 when x = 4, what is y when x = 9? A) 40 B) 45 C) 36 D) 25 Answer: B
  2. y is inversely proportional to x. If y = 6 when x = 5, what is y when x = 15? A) 2 B) 18 C) 10 D) 0.5 Answer: A
  3. p is directly proportional to the square of q. If p = 8 when q = 2, find p when q = 5. A) 20 B) 40 C) 50 D) 25 Answer: C
  4. If y is inversely proportional to the square of x, what happens to y when x is doubled? A) y doubles B) y halves C) y is divided by 4 D) y is multiplied by 4 Answer: C
  5. v is directly proportional to the cube of w. If v = 16 when w = 2, find v when w = 4. A) 32 B) 64 C) 128 D) 256 Answer: C

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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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