Practise

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SA-4024-AL-0103 marksL1 FoundationNon-calculatorLinear sequences

The sequence

7,\ 11,\ 15,\ 19,\ldots

has nth term

an+b

. (i) Find

a

and

b

. (ii) Find the

50

th term.

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SA-4024-AL-0161 markL1 FoundationNon-calculatorInverses

f(x)=\dfrac{2x+1}{3}

. Find

f^{-1}(5)

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SA-4024-AL10-0012 marksL1 FoundationNon-calculatorLinear sequences

The nth term of

3,\ 7,\ 11,\ 15,\ldots

an+b

. Find

a

and

b

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SA-4024-AL10-0021 markL1 FoundationNon-calculatorOther sequences

Write down the next term of

1,\ 8,\ 27,\ 64,\ldots

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SA-4024-AL10-0031 markL1 FoundationNon-calculatorOther sequences

Write down the next term of the geometric sequence

2,\ 6,\ 18,\ldots

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SA-4024-AL10-0041 markL1 FoundationNon-calculatorOther sequences

The triangular numbers are

1,\ 3,\ 6,\ 10,\ldots

Find the

10

th triangular number.

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SA-4024-AL1-0012 marksL1 FoundationCalculatorExpanding

Expand and simplify

3(x+4)-2(x-1)

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SA-4024-AL1-0022 marksL1 FoundationCalculatorExpanding

Expand and simplify

(x+5)(x-3)

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SA-4024-AL1-0032 marksL1 FoundationCalculatorFactorising

x^2-7x+12=(x-a)(x-b)

with

a<b

. Find

a

and

b

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SA-4024-AL1-0051 markL1 FoundationCalculatorFactorising

6x^2+9x

factorises completely as

3x(2x+k)

. Find

k

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SA-4024-AL1-0071 markL1 FoundationCalculatorFormulae

Make

h

the subject of

V=\pi r^2h

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SA-4024-AL11-0011 markL1 FoundationNon-calculatorDirect proportion

y

is directly proportional to

x

, and

y=15

when

x=5

. Find the constant

k

y=kx

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SA-4024-AL11-0051 markL1 FoundationNon-calculatorDirect proportion

y

is directly proportional to

x^2

x

is doubled. By what number is

y

multiplied?

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SA-4024-AL11-0071 markL1 FoundationCalculatorDirect proportion

The graph of

y

against

x

when

y

is directly proportional to

x

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SA-4024-AL12-0011 markL1 FoundationNon-calculatorFunctions

f(x)=x^2-3

. Find

f(-2)

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SA-4024-AL12-0022 marksL1 FoundationNon-calculatorFunctions

f(x)=5-2x

. Solve

f(x)=11

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SA-4024-AL2-0012 marksL1 FoundationCalculatorLinear equations

Solve

5x-7=2x+8

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SA-4024-AL2-0023 marksL1 FoundationCalculatorSimultaneous

Solve the simultaneous equations

x+y=10

and

x-y=4

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SA-4024-AL2-0032 marksL1 FoundationCalculatorSolving quadratics

Solve

x^2-5x+6=0

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SA-4024-AL3-0012 marksL1 FoundationCalculatorInequalities

Solve

3x+2>14

and write down the smallest integer that satisfies it.

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