Ratio/rates

Question 1

What is 1.5 g/mL expressed in g/L

Answer 1

1L = 1000mL

1.5 g/L x 1000 = 1500 g/L

Question 2

A 250 mL bottle of cough mixture contains 21.6 g/40mL of sorbitol

How much sorbitol is in the bottle?

Answer 2

21.6g/40mL = 0.54g/mL

Amount of sorbitol = 250 x 0.54 = 135g

Question 3

A trout farmer took 600 trout from his dam, tagged and returned them. When a sample of 120 was captured a few days later 35 were tagged.

How many trout are in the dam

Answer 3

600 35
—— = —— P = 120
P 120 —— X 600
35
P 120
—— = —— Trout = 2057
600 35

Question 4

1mm3 = mL

1cm3 = mL

1m3 = L

Answer 4

1mm3 = 0.001mL

1cm3 = 1mL

1m3 = 1000L

Question 5

Fuel consumption for a vehicle that travelled 340km using 51 Litres of petrol

Answer 5

Fuel consumption = Fuel (L)
———————
Distance (km)

Fuel consumption = 51 x 100
———————
340
Fuel consumption = 15L / 100km

Question 6

The scale on a map is given as 1cm = 5km. If the distance between two points on the map is 46mm, what is the actual distance between these points (km)

Answer 6

Actual distance = 46mm / 10
= 4.6 cm x 5
= 23 km

Question 7

There are 384 passengers and 144 crew in a cruise ship. If there are 22 lifeboats, enough for everyone, how many are allotted to the passengers, and how many to the crew?

Answer 7

384 : 144 = 8 : 3 8 part = 8 x 2
11part = 22 = 16 boats

 1 part = 22                         crew 3 part = 2 x 3
               -----                                             = 6 boats
                11                           
              = 2

Question 8

WIR = ?
B.I.W = ?
W.C = ?
Dw =?

Answer 8

WIR = Walk in robe
B.I.W = Built in wardrobe
W.C = Water Closest (toilet)
Dw = Dishwasher

Question 9

Simplify 1.70 : 0.03

Answer 9

170 : 3

Question 10

1W = ? J

1KJ = ? Kw

Answer 10

1W = 1J per second

1KJ = 1Kw

Question 11

1Kwh = ? MJ

Answer 11

1Kwh = 3.6 MJ

Question 12

MHR =

THR =

Answer 12

MHR = 220 - Age in years

THR = is between 65% and 85%

Question 13

D =

S =

T =

Answer 13

D = S x T

S = D / T

T = D / S

Question 14

Determine the scale for the photo of a 50m pool given the length of the pool is 5cm

Answer 14

5cm : 50m

5cm : 5000cm

 1 : 1000

Question 15

Scale = drawing length = actual length

Answer 15

True

Question 16

In a tropical drink , the ratio is pineapple to mango to orange 15:9:4

How much orange juice is need if there is 3L of pineapple juice?

Answer 16

Pineapple = 15 part = 3L

4 part Orange = 3
— x 4
15

Orange = 0.8L or 800mL

Question 17

10 : 15 : 30

Answer 17

= 10 : 15 : 30
— — —
55 55 55

= 2 : 3 : 6

Question 18

How do you find Sin 0

Answer 18

Sin-1(O)
—
H

Question 19

How many kilojoules are in 1KWh

Answer 19

1KJ = 1 second

1 KWh = 1 x 60 x 60
= 3600 kJ

Question 20

Issy and Patrick share a pizza in a ratio of 1 : 8 what fraction of the pizza does Patrick get?

Answer 20

Patrick part = 8
—
9

Question 21

A group of preschoolers contains 63 boys and 27 girls. What is the ratio of boys to all children

Answer 21

Ratio = 7 : 10

Question 22

The ratio of flour to sugar is 5 : 3, and the ratio of sugar to butter is 4 : 1

What is the ratio of flour to butter?

Answer 22

F : S : B
5 : 3
4 : 1

F = 5 x 4

S = 1 x 3

20 : 3

Question 23

A room is 20m long and measures as 9cm what is a approximate ratio

Answer 23

9cm : 20m = 9cm: 2000cm

Ratio = 9 : 2000
= 1 : 222

Question 24

What does PWDR stand for

Answer 24

Powder room