Decimals And Ratio Worksheet Page 12
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139
STEM
Prescription medicine doses are measured in grams and
16
Finance
Q9 hint
milligrams.
a On a particular day £200 is worth €229.
1000 mg = 1 g
A high dose tablet of ibuprofen has 600 mg of active ingredient.
i How much is £1 worth in euros?
a How much is this in grams?
ii How much is €1 worth in pounds?
A tablet with 600 mg of active ingredient weighs 2.4 g in total.
b On another day £50 is worth $79.
b How much of the tablet is not active ingredient?
not active ingredient?
not
i How much is £1 worth in dollars?
10
Real
Nurses frequently carry out calculations using ratios to convert
ii How much is $1 worth in pounds?
between units.
17 Use suitable equivalent calculations to work out these.
A doctor prescribes 200 mg of ibuprofen.
Q17a hint
The medicine is in a container that has 500 mg of ibuprofen
a 3.5 × 62
b 1.6 × 125
c 2.25 × 848
_
7
3.5 is equivalent to
dissolved in 40 m l of water.
l of water.
l
2
d 1.5 × 4682
e 1.8 × 4235
f 6.25 × 488
Multiplying by 3.5 is the same as
How much of the liquid should the nurse give to the patient so they
multiplying by 7 and dividing by 2.
18 Use a calculator to work out
take the correct dose of ibuprofen?
_
1
9
_
a 4.2
2
× (3.6 + 1
)
b
× 3.5 + 8.4
2
2
4
11
Reasoning
Work out
4
_
_
3
c 6
d (2.6 + 3.2)
3
+ 4.2
2
+ 1.1
2
+
2
× (
+ 1.12)
2
a 105 ÷ 5
b 105 × 0.2
5
4
c 425 ÷ 5
d 425 × 0.2
19
Finance
Banks use interest rates as a way to charge people for
e Copy and complete.
borrowing money.
÷10 is equivalent to ×0.1
The charge you pay is a percentage of the amount you borrow.
÷5 is equivalent to
u
Q11e hint
For example, Clare borrows £10 000 at an interest rate of 5% per year.
_
5
÷0.2 is equivalent to
u
At the end of the year she is charged £10 000 ×
=
Use your answers from parts a to d
100
÷2 is equivalent to
u
£10 000 × 0.05 = £500 interest.
to help you.
÷4 is equivalent to
u
Ajmal has borrowed £200 000 from the bank to buy a house, at an
interest rate of 3.2% per year.
12
Real
5 g of grass seed covers a 10 m by 10 m square.
a How much interest will he pay if he borrows the money for a year?
a How many m
2
will 5 g cover?
b How many grams do you need to cover a football pitch that is
b He pays the bank £850 per month. How much does he owe the bank
110 m × 60 m?
at the end of the fi rst year?
13
Problem-solving
Ramiz is thinking of assembling a bike from spare
20 Copy and complete these. Put the correct sign, < or >, between each
parts bought from an online retailer.
pair of numbers.
The prices of the main items are given in these tables.
a −30.58
b −23.69
u
−33.9
u
−18.93
Part
Price
Part
Price
c −85.93
d −13.87
u
−66.47
u
−82.57
frame
£495.00
seat pillar
£47.36
e −66.43
f
u
−25.07
−40.02
u
−25.83
wheels (each)
£112.49
handlebars
£39.96
g −39.93
h −4.59
u
−39.929
u
4.61
gears
£37.99
tyres (each)
£43.75
brakes (each)
£53.75
chain
£11.89
saddle
£20.99
inner tubes (each)
£4.49
Investigation
Modelling
Estimate the volume and the surface area of a typical adult.
a How much would making such a bike cost?
Use a cuboid as a model.
Postage and packing adds 10% to the price.
You may wish to use measuring equipment to help you.
b How much will it cost to have all the components delivered?
Use a sensible degree of accuracy for all your measurements and calculations.
A similar new bike in a bike shop costs £1150.
c Which would be cheaper, and by how much?
21
Refl ect What kind of jobs might need the maths skills you have used in
14 A cereal box is 19.6 cm wide, 7.2 cm deep and 27.5 cm high.
these Extend lessons?
a What is the volume of the cereal box?
Look back at the questions to help you. For example, Q19 asked you
b All three dimensions are halved. What is the ratio of the volume of
to work out interest on a loan. Someone working as a fi nancial advisor
the small box to the volume of the original one?
needs these skills.
15 8 km is approximately 5 miles.
a How many miles is each km?
b How many km is each mile?
157
Unit 6
Decimals and ratio
158
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