PROPORTIONS AND RATIOS

Time allowed: 45 Minutes

Calculators are NOT allowed

(1) Divide K90.00 between Noel and Peter in the ratio 4 : 5. What is Peter's share?

K10.00

K50.00

K40.00

K72.00

(2) If A : B = 2 : 3 and B : C = 3 : 5, then the ratio of A : B : C is ...

2 : 6 : 5

2 : 5 : 9

2 : 3 : 5

7 : 2 : 1

(3) The ratio K2.50 to K3.75 in its lowest terms can be written as...

2 : 3

3 : 5

1 : 5

1 : 3

(4) If 2 400 is divided in the ratio 5 : 4 : 3, then the largest share is ...

1 200

1 000

800

600

(5) Divide K300.00 in the ratio 3 to 7.

K30.00 and K270.00

K100.00 and K200.00

K60.00 and K240.00

K90.00 and K210.00

(6) The ratio of the two measurements 0.4km and 400m can be written in the simplest form as...

1 : 800

1 : 10

1 : 1

10 : 1

(7) Mr. Phiri buys a house for K50 000.00. He pays for it in two parts, in the ratio of 3 : 7. How much is the bigger part that he pays?

K5 000.00

K35 000.00

K15 000.00

K45 000.00

(8) Mweemba, Tembo and Mubita shared K1 200.00 in the ratio 5 to 4 to 3. Who got the largest share?

Mubita

Tembo

Mweemba

Mubita and Tembo

(9) Divide K100.00 in the ratio 3 to 7.

K3.00 and K7.00

K70.00 and K30.00

K30.00 and K70.00

K10.00 and K5.00

(10) Share two hundred and forty kwacha among Eddie, James and Chipo in the ratio 3 to 2 to 1. How much does Chipo get?

K240

K120

K80

K40

(11) Express the ratio 3 years to 3 months in its simplest form.

12 to 1

1 to 1

1 to 12

36 to 3

(12) Divide 72 in the ratio 1 : 2 : 5.

9, 45, 18

9, 18, 45

18, 9, 45

45, 18, 9

(13) A field is 450 metres long and 90 metres wide. What is the ratio of the length to the width?

5 to 1

1 to 5

4 to 5

5 to 4

(14) Divide K120.00 in the ratio of 3 : 7.

K50.00 and K70.00

K60.00 and K60.00

K20.00 and K100.00

K36.00 and K84.00

(15) If 144 is divided in the ratio of 9 : 3, the larger share would be...

132

36

108

48

(16) K120.00 shared in the ratio of 1 : 3 : 2 is...

K60 : K40 : K40

K20 : K60 : K40

K40 : K20 : K60

K40 : K60 : K20

(17) If one Zimbabwean Dollar will buy K120, what is the value in Kwacha of 100 Zimbabwe Dollar?

K120

K1 200

K12 000

K120 000

(18) Share 750 oranges in the ratio 2 : 3

250 : 375

300 : 450

450 : 300

150 : 600

(19) Find the ratio of 500m to 2 500m in its lowest terms.

1 to 5

5 to 1

5 to 25

1 to 25

(20) Meto, Mutale and Mwale shared 400 bananas in the ratio 5 : 4 : 1 respectively. How many more bananas did Meto get than Mwale?

160

40

30

10

(21) The ratio 15 hours : 1 day written in its lowest terms is.....

15 : 1

15 : 24

5 : 8

5 : 15

(22) The ratio 15 to 20 can be written as ...

4 : 3

5 : 4

3 : 4

1 : 2

(23) What is the smallest share, if K60.00 is divided in the ratio 1 : 2 : 3 ?

K20.00

K30.00

K9.00

K10.00

(24) Share K480 in the ratio 1 : 2 : 5 ...

K60 : K160 : K96

K80 : K240 : K300

K80 : K180 : K300

K60 : K120 : K300

(25) Meti and Mary shared K66 in the ratio 3 to 8. How much did Mary get?

K18

K48

K24.75

K41.25

(26) What is the largest share if K220 is divided in the ratio 2 : 4 : 5 ?

K100

K40

K160

K45

(27) Reduce the ratio 72 : 108 to its simplest form.

2 : 3

12 : 8

3 : 2

6 : 9

(28) What is the ratio of 6 boys to 18 girls in the lowest term?

1 : 2

2 : 1

3 : 1

1 : 3

(29) Divide K330 in the ratio 4 to 7.

K40 and K70

K30 and K210

K120 and K210

K120 and K70

(30) In its lowest terms , the ratio 1kg 500 g to 500 g is equal to ...

1 500 : 500

1 : 3

3 : 1

1 : 1

(31) After dividing K100 in the ratio 3 : 2 , the largest share is ...

K100

K60

K160

K140

(32) 3 : 4 is the same as 6 :

8

9

12

13

(33) As a ratio, ⁴/₅ can also be written as...

5 : 4

4 : 5

⁴/₇

⁵/₄

(34) Express the ratio 7 to 14 to 49 in its lowest terms.

7 : 1 : 2

2 : 7 : 1

7 : 2 : 1

1 : 2 : 7

(35) The ratio of boys to girls in a class is 1 : 2. If there are 48 pupils in the class, how many are girls?

16

22

32

44