Year 9 Ratio and Proportion Practice Questions PDF

Summary

This document provides practice questions on ratios and proportions for Year 9 students, including example problems. The text covers key concepts like describing proportions and solving related mathematical problems, with a focus on improving skills in arithmetic applications.

Full Transcript

Year 9 SIMILARITIES Ratio & Proportion Learning Outcome describe a proportion; and solve problems involving proportion. Example The ratio of quantitie Ratio is the s...

Year 9 SIMILARITIES Ratio & Proportion Learning Outcome describe a proportion; and solve problems involving proportion. Example The ratio of quantitie Ratio is the s AB and BC can be expressed pa r i s o n of t w o as: com AB to BC 2 to n t i t i e s u s i n g 3 or qua AB : BC 2:3 or division. , 2 ≠ 0 3 Ratios are usually expressed Ratio and in simplest form. Proportion Likewise, the ratio of quantities CD and DE can be expressed as CD to DE or CD:DE or , where DE ≠ 0. The ratio AB:DC and the ration CD:DE are equal. An equation In the proportion = , stating that two the numbers AB and DE ratios are equal is are called extremes of the called proportion. proportion and the numbers BC and CD are the means of the proportion. E x am p l e TA A s s e m b l y, In a recent P t e a ch e r s a n d Example there are 15 t s. W h a t i s t h e 500 paren The parent-teacher r i m a t e p a r e n t - atio is approx 500 to 15 or 500:15 o 500 teacher ra t i o i n t h e r. In lowest term, the p 15 assembly? arent- teacher ratio in the assembly is 100 to 3 or 1 100:3 or.0 0 3 E x am p l e T he r a t i o o f t h e measures o f t h e a n g l e s Example i n a tr i a n g l e i s 2 :3 :4. T h e r at i o 2 : 3 i s h e m e a s u r e s Wh a t a r e t e q u i v al e n t t o 2 x : 3 x , of t h e a n g l e s ? t h u s e x t e n de d r at i o 2 : 3 : 4 c an b e w r i t t e n a s 2 x : 3x : 4x. Example T h e r at i o 2 : 3 i s e q u i v al e n t t o 2 x : 3 x , t h u s e x t e n de d r at i o 2 : 3 : 4 c an b e w r i t t e n a s 2 x : 3x : 4x. E x am p l e h e i n di ca t e d Solve for t v ari ab l e. 15 = 4 2 E x am p l e h e i n di ca t e d Solve for t v ari ab l e. −5 2 = +3 6 E x am p l e h e i n di ca t e d Solve for t v ari ab l e. 7 9 = 3 3 − 2 2 + Answer page 290 Practice and Apply Test II (B) Thank you for listening! See you tomorrow!

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