4 self-marking Additional Maths practice questions on Linear law: transforming relationships, written specifically for Cambridge IGCSE Additional Maths (0606) across Single tier. Instant marking with full worked solutions on every question.
Sample Linear law: transforming relationships questions
A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 13 marksGrade 9
Variables x and y are related by y=Abx, where A
What are the common mistakes in Linear law: transforming relationships?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
After dividing two equations to eliminate a variable, forgets that the result is a power of the unknown and must be rooted rather than read off directly
Dividing Ab3=54 by Ab=6 eliminates A
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There are 4 self-marking Additional Maths Maths questions on Linear law: transforming relationships, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.
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and
b
are positive constants.
(a) Show that plotting
lny
against
x
gives a straight line. [1]
(b)(i) State the gradient of the line, in terms of
A
and
b
. [1]
(b)(ii) State the
lny
-intercept of the line, in terms of
A
and
b
. [1]
Show the worked solution
Taking ln of both sides of y=Abx: lny=lnA+ln(bx)=lnA+xlnb, i.e. lny=(lnb)x+lnA.
This is linear in x, with gradient lnb and lny-intercept lnA.
Question 24 marksGrade 9
The variables x and y are related by the equation y=Abx, where A and b are positive constants. When x=1, y=6; when x=3, y=54.
Find the values of A and b. [4]