Ratio And Proportion
Muhtasari
Mix white paint and blue paint in the ratio 3 to 2, then work out what 20 litres of the mixture costs. Buy a 400 gram jar for $3.20 or a 650 gram jar for $5.07 and say which is better value. Work out how many cards you can cut from a thousand centimetres of ribbon. These three questions look like three different subjects and they are all the same idea: quantities that keep a fixed relationship to one another as they change.
You will write ratios and reduce them to their simplest form, see how a ratio connects to a fraction, divide a quantity in a given ratio, and apply ratio to problems that do not announce themselves as ratio problems. You will use common measures of rate, including rates of pay and best-buy comparisons, and solve problems involving direct and inverse proportion, including repeated proportional change. On the Extension Tier you will meet exponential growth and decay, where the multiplier itself is the model.
Malengo
- [Core] use ratio notation, including reduction to simplest form and links to fraction notation
- [Core] divide a quantity in a given ratio
- [Core] apply ratio to solve problems
- [Core] use common measures of rate, including calculating rates of pay and best-buy problems
- [Core] solve problems involving direct and inverse proportion including repeated proportional change
- [Extension] exponential growth and decay
Ramani ya mawazo
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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 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.
- White paint and blue paint are mixed in the ratio 3 : 2. What fraction of the mixture is blue? A. 2/3 B. 3/2 C. 2/5 D. 3/5 Answer: C
- 6 workers build a wall in 10 days. How long would 4 workers take, working at the same rate? A. 6.7 days B. 8 days C. 15 days D. 24 days Answer: C
- The mass of 40 cubic centimetres of copper is 354 grams. What is the mass of 100 cubic centimetres? A. 141.6 g B. 414 g C. 885 g D. 1416 g Answer: C
- In the model N = 12 000 a^t with a = 0.8, what is the value of N when t = 0? A. 0 B. 0.8 C. 9600 D. 12 000 Answer: D
- Coffee costs $3.20 for 100 g, $7.75 for 250 g or $22.80 for 750 g. Which is the best value? A. the 100 g jar B. the 250 g jar C. the 750 g jar D. they are all the same value Answer: C
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Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Ratio And Proportion? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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