Further Graphs | CIE IGCSE Maths: Core Topic Questions 2023

1a

2 marks

Complete the table of values for $y = x^{2} - 4 x - 3$

$x$	-2	-1	0	1	2	3	4	5
$y$		2	-3	-6		-6	-3	2

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1b

4 marks

On the grid, draw the graph of $y = x^{2} - 4 x - 3$ for $- 2 ⩽ x ⩽ 5$ .

qp10b-0580-32-paper-3-nov-2020-cie-igcse-maths

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1c

2 marks

Use your graph to solve the equation $x^{2} - 4 x - 3 = 0 .$

$x$ = .................. or $x$ = ..................

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1a

3 marks

Complete the table of values for $y = \frac{15}{x}$

$x$	-5	-3	-2	-1		1	2	3	5
$y$				-15		15

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1b

4 marks

On the grid, draw the graph of $y = \frac{15}{x}$ for $- 5 ⩽ x ⩽ - 1$ and $1 ⩽ x ⩽ 5$ .

q9b-0580-31-paper-3-nov-2020-cie-igcse-maths

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1c

1 mark

On the grid, draw the line $y$ = 6.

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1d

1 mark

Use your graph to solve $\frac{15}{x} = 6$ .

$x =$ .............................

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1a

2 marks

Complete the table of values for $y = 1 + 5 x - x^{2}$

$x$	-1	0	1	2	3	4	5
$y$		1	5		7		1

How did you do?

1b

4 marks

On the grid, draw the graph of $y = 1 + 5 x - x^{2}$ for $- 1 ⩽ x ⩽ 5$ .

qp3b-0580-33-paper-3-nov-2020-cie-igcse-maths

How did you do?

1c

3 marks

i)

On the grid, draw the line

y

= 3.

[1]

ii)

Use your line to solve the equation

1 + 5 x - x^{2} = 3

x

= .................... or

x

= .................... [2]

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$x$	$- 6$	$- 3$	$0$	$3$	$6$	$9$	$12$	$15$
$y$	$96$			$- 21$	$- 24$		$24$	$75$

$x$	–6	–5	–4	–3	–2	–1		1	2	3	4	5	6
$y$	–1			–2	–3	–6		6	3	2		1.2	1

$x$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$
$y$		$2$	$5$	$6$			$- 3$

$x$	$- 4$	$- 2$	$- 1$	$0$	$1$	$2$	$4$
$y$		$- 10$		$0$	$2$		$- 4$

$x$	-5	-4	-3	-2	-1		1	2	3	4	5
$y$		-2	-2.7	-4	-8		8	4	2.7

$x$	−1	0	1	2	3	4	5	6
$y$		0		6	6			−6

$x$	-6	-4	-3	-2	-1		1	2	3	4	6
$y$		-1.5		-3				3		1.5