review exercise 17 (subjective)

8/18/2019 Review Exercise 17 (Subjective)

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Review Exercise 17

Subjective Questions

1. Write each of the following ratios in the form a : b.

(a) 18° C to 25° C (b) 30 ml to 43 ml(c) 26 mintes to 1.1 hors (!) 3" st!ents to 1 teacher

2. #etermine whether each of the following $airs of ratios are e%i&alent ratios.

(a) 2 : 3 an! 6 : " (b) 5 : 6 an! 15 : 18

(c) 44 : 42 an! 11 : 13 (!) 16 : 10 an! 5 : 8

3. 'im$lif the following ratios to the lowest terms.

(a) 12 : 18 (b) 14 :

(c) 22

1 : 2 (!) 6 : 1

3

1

(e) 1.2 : 4 (f) 2 : 1.6

(g) 3." : 2.1 (h) 2.05 : 500

4. *t is gi&en that x : y + 4 : . 'tate

(a) y : x (b) x : x , y

(c) y : y – x (!) y - x : x , y

5. #etermine whether each of the following statements is tre or false.

(a) *f x : y + 3 : 4 then x : x , y + 3 : .

(b) *f u : v + : 5 then u - v : u + 2 : .

(c) *f m : n + 2 : " then n : m , n + 11 : ".(!) *f p : q + 13 : 6 then p - q : p , q + : 18.

6. 't!ents of /orm 1 an! /orm 2 in a school are !i&i!e! accor!ing to the table.

Number of students Number of classes

/orm 1 120 4

/orm 2 150 6

#etermine whether the nmber of st!ents is $ro$ortional to the nmber of classes.

7. *n the following tables x an! y are two %antities. #etermine whether x is

$ro$ortional to y.

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1

(a) x y

4 6

16 24

(!) x y

14 21

24 48

(c) x y

" 13

13 "

(b) x y

10

21 30


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Review Exercise 17

8. *n a com$an the starting salar an! the woring e$erience of two worers are

shown in the table.

Starting salary Working e!erience

1 500 6 ears

2 000 8 ears

ase! on the abo&e information what is the starting salar $ro$ortional to the

woring e$erience of the worers

". *n a t$ing $ractice #li$ is able to t$e 136 wor!s in 4 mintes. assming the

nmber of wor!s t$e is $ro$ortional to the time fin! the time taen b #li$ to t$e3 060 wor!s.

1#. *t is gi&en that p : q + 2 : ". /in!

(a) the &ale of p when q + 81

(b) the &ale of q when p + 30.

11. Calclate the &ales of x an! y in the following cases.

(a) x : y + 2 : 5 an! x , y + 42(b) x : y + 8 : 15 an! x , y + 115

(c) x : y + 20 : 11 an! x , y + 2"

(!) x : y + 33 : 16 an! x , y + 53"

12. *n each of the following cases fin! the &ale of x , y.

(a) x : y + 4 : 3 an! x - y + 3

(b) x : y + 5 : 8 an! y - x + "

(c) x : y + 10 : an! x - y + 12

(!) x : y + : 13 an! y - x + 21

13. /ong ing boght some a$$les an! oranges from a h$ermaret. 7he ratio of the

nmber of a$$les to the nmber of oranges is 6 : . i&en that the nmber of oranges

boght is 3 more than the nmber of a$$les. Calclate the total nmber of a$$les an!

oranges boght b /ong ing.

14. 'im$lif the following ratios to the lowest terms.

(a) 12 : 15 : " (b) 35 : 21 : 4"

(c) 2 :4

3 :2

1(!) 1

4

1 :3

1 :6

1

(e) 1.2 : 3 : 1.4 (f) 8.4 : 3.6 : 10.8

15. *t is gi&en that x : y : z + 4 : : 8. 'tate the relate! ratios in the lowest terms.(a) x : z (b) y : z

(c) x : y

16. 7he angles of a triangle are in the ratio 5 : 3 : 4. Calclate each of the angle.



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Review Exercise 17

17. #etermine the &ales of p q an! r in the following cases.

(a) p : q : r + 2 : 3 : 4 an! p , q , r + 18

(b) p : q : r + : 5 : 8 an! p , q , r + 60

(c) p : q : r + 6 : 11 : 13 an! p , q , r + 150

(!) p : q : r + " : 10 : 14 an! p , q , r + 165

18. /in! the ratio a : b : c in the following cases.

(a) a : b + 1 : 4 an! b : c + 2 :

(b) a : b + 3 : 2 an! b : c + 3 : 5

(c) a : b + 5 : 3 an! b : c + 4 : "

(!) a : b + 11 : an! b : c + 3 : 10

1". *n a st! the color of cars owne! b worers of a firm shows that the nmber of

white cars re! cars an! ble cars are in the ratio 10 : 4 : 3. i&en that the nmber of

white cars ecee!s the nmber of re! cars b 42. Calclate

(a) the nmber of white cars

(b) the total nmber of cars owe! b the worers.

2#. 7he $rices of a ala !ictionar an 9nglish !ictionar an! a Chinese !ictionar are

accor!ing to the ratio f : " : 3. i&en that the $rice of a Chinese !ictionar is 21

whereas the total $rice of the three !ictionaries is 112. Calclate

(a) the $rice of an 9nglish !ictionar

(b) the &ale of f .


review exercise 17 (subjective)

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