652 Multi-Topic Questions (Chapter 33)7 May 2006, Paper 4
The length,y, of a solid is inversely proportional to the square of its height,x.
a Write down a general equation forxandy.
Show that when x=5and y=4: 8 the equation becomes x^2 y= 120.
b Findywhen x=2.
c Findxwhen y=
d Findxwhen y=x.
e Describe exactly what happens toywhenxis doubled.
f Describe exactly what happens toxwhenyis decreased by36%.
g Makexthe subject of the formula x^2 y= 120.8The first three diagrams in a sequence are shown above.
The diagrams are made up of dots and lines. Each line is one centimetre long.
a Make a sketch of the next diagram in the sequence.
b The table below shows some information about the diagrams.Diagram 1 2 3 4 ...... n
Area 1 4 9 16 ...... x
Number of dots 4 9 16 p ...... y
Number of one centimetre lines 4 12 24 q ...... zi Write down the values ofpandq.
ii Write down each ofx,yandzin terms ofn.
c
en^3 +fn^2 +gn:
i Find the values ofe,fandg.
ii Find the total number of one centimetre lines in the first 10 diagrams.9 Nov 2005, Paper 4
A Spanish family went to Scotland for a holiday.
a The family bought 800 pounds($)at a rate of $1=1: 52 euros (E). How much did this cost in
euros?
b The family returned home with$ 118 and changed this back into euros. They receivedE 173 : 46 :
Calculate how many euros they received for each pound.
cd The total cost of the holiday wasE 4347 : 00. In the family there were 2 adults and 3 children. The
cost for one adult was double the cost for one child. Calculate the cost for one child.diagram 1 diagram 2 diagram 3Thetotalnumber of one centimetre lines in the firstndiagrams is given by the expressionA toy which costs in Spain costs only in Scotland. Calculate, as a percentage of the
cost in Spain, how much it costs in Scotland.EE11 50::9 75
less10.
Adapted from May 2007, Paper 4IGCSE01
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Y:\HAESE\IGCSE01\IG01_33\652IGCSE01_33.CDR Friday, 14 November 2008 10:25:12 AM PETER