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
- [Higher] Set up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations
Ramani ya mawazo
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Kadi za kumbukumbu
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Maelezo ya Somo
Dokezo Kamili la Somo Linapatikana kwenye Programu ya Green Bridge
Pata programu ya Green Bridge CBT kwenye simu au kompyuta yako kwa maktaba kamili ya IGCSE: mitihani ya miaka iliyopita, miongozo ya usahihishaji, ramani za mawazo, kadi za marudio na masomo ya sauti.
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.
- 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
- 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
- y is proportional to x squared. When x = 3, y = 18. What is k? A) 6 B) 2 C) 9 D) 3 Answer: B
- Which equation represents inverse proportion? A) y = kx B) y = k/x C) y = kx + c D) y = k + x Answer: B
- 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
Fanyia kazi maswali haya kwenye programu
Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Use Direct and Inverse Variation
Solve direct variation problems
"Elementary Algebra: Use Direct and Inverse Variation" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/8-9-use-direct-and-inverse-variation. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
Vimechapishwa na mashirika mengine chini ya leseni huria na vinatajwa kama wanavyoomba. Viungo hufungua tovuti zao.
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Proportion? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
