Cambridge International Mathematics

166 Formulae and simultaneous equations (Chapter 7)

5 A visit to the cinemas costsE 64 for a group of 2 adults and 5 children, andE 68 for a group of 3 adults

and 4 children. Find the cost of each adult ticket and each children’s ticket.

6 Answer theOpening Problemon page 147.

7 Martin collects 20 -cent and 50 -cent coins. He has 37 coins, and the total value of the coins is$11: 30.

How many coins of each type does Martin have?

8 A tailor made costumes for students in a school play. Each male costume took 2 hours and cost$40to

make. Each female costume took 3 hours and cost$80to make. In total the tailor spent 30 hours and

$680on the costumes. How many male costumes and how many female costumes did the tailor make?

9

For the parallelogram alongside, findxandy.

10

11 On theCelsiustemperature scale, ice melts at 0 oC and water boils at 100 oC. On theFahrenheit

temperature scale, ice melts at 32 oF and water boils at 212 oF.

There is a linear relationship between temperature in degrees Celsius (C) and temperature in degrees

Fahrenheit (F). It has the form C=aF+b whereaandbare constants.

a Find the values ofaandbin simplest fractional form.

b Convert 77 oF to degrees Celsius.

Review set 7A

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1 The formula for the densityDof a substance with massMand volumeV is D=

M

V

.

a Find the density of lead if 350 g of lead occupies 30 : 7 cm^3.

b Find the mass of a lump of uranium with density 18 : 97 g/cm^3 and volume 2 cm^3.

c Find the volume of a piece of pine timber with mass 6 kg and density 0 : 65 g/cm^3.

2 Maketthe subject of: a 3 t¡s=13 b

t

r

=

4

t

3 Makexthe subject of the formula y=

2 x¡ 3

x¡ 2

:

4aWrite a formula for the volume of waterV in a trough if it is empty initially, then:

i six 8 -litre buckets of water are poured into it

ii n 8 -litre buckets of water are poured into it

iii nl-litre buckets of water are poured into it.

b Write a formula for the volume of waterV in a trough that initially contained 25 litres ifn

buckets of water, each containingllitres, are poured into it.

11 cm

19 cm

()3 ¡+¡2xycm

()xy¡+¡3 cm

Ron the painter charges an hourly fee, as well as a fixed call-out fee, for his work. He charges

for a hour job, and for a hour job. Find Ron’s call-out fee and hourly rate.

$165

2 $345 5

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Y:\HAESE\IGCSE01\IG01_07\166IGCSE01_07.CDR Wednesday, 17 September 2008 10:25:59 AM PETER