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IGCSE Math B4 FunctionsTopic Practice

4 Functions

Edexcel IGCSE Math B 4 Functions question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math B practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

Question 2

Factorise completely 3x2−12y23 x^{2}-12 y^{2}3y=4x3−2x3 y=4 x^{3}-\frac{2}{x} Find dy dx\frac{\mathrm{d} y}{\mathrm{~d} x}

dy dx=\frac{\mathrm{d} y}{\mathrm{~d} x}=

Question 2

[Maximum number: 4]
Question image

The line L\mathbf L with equation y=-2x-2 is drawn on the grid opposite.

Question 2(a)

(a)

On the grid opposite, draw the graph with equation x-y=4 for values of x from -4 to 6.

[ 2 ]

Question 2(b)

(b)

On the grid opposite, draw the graph with equation 3y+x=-3 for values of x from -4 to 6.

[ 2 ]

Question 3

Given that y=3x2−x−5y=3 x^{2}-x^{-5}
find dy dx\frac{\mathrm{d} y}{\mathrm{~d} x}

Question 3

[Maximum number: 5]

f varies inversely as the cube of r.
f = 576 when r = 1/2.

Question 3(a)

(a)

Find a formula for f in terms of r.

[ 3 ]

Question 3(b)

(b)

Given that f = 5 + 1/t when r = 2,

find the value of t.

[ 2 ]

Question 3

[Maximum number: 6]

3 y varies inversely as the square of x.

Question 3(a)

(a)

Write down a formula for y in terms of x and a constant k.

[ 1 ]

Question 3(b)

(b)

Given that
dydx=−532when x=4,\frac{dy}{dx}=-\frac5{32}\quad\text{when }x=4,
find the values of x when y=454y=\frac{45}{4}.

[ 5 ]

Question 5

The function g, where g:x↦16−x2g:x\mapsto16-x^2, is defined for all values of x.
Write down

Question 5(i)

(a)

the maximum value of g(x),

Question 5(ii)

(b)

the range of g.

Question 5

Given that y=21x2−8xy=21 x^{2}-\frac{8}{x}
find dy dx\frac{\mathrm{d} y}{\mathrm{~d} x}

dy dx=\frac{\mathrm{d} y}{\mathrm{~d} x}=

Question 2(a)

[Maximum number: 1]
Question image

The points with coordinates (2,1), (5,1), (3,3) and (6,3) are the vertices of parallelogram A.

On the grid, draw and label parallelogram A.

Question 23

[Maximum number: 5]

y is directly proportional to x3x^3.
x is inversely proportional to the square root of w.
y=729 when x=4.5,x=25 when w=0.16.y=729\text{ when }x=4.5, \qquad x=25\text{ when }w=0.16.
Find a formula for y in terms of w.

Question 5

Given that
y=2x4−3x2,y=2x^4-\frac3{x^2},
find dydx\frac{dy}{dx}.

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