Practise questions · Salam Academy

SA-9709-P1-SR1-0011 markL1 FoundationCalculatorExpanding

Find the value of

\binom73

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0081 markL1 FoundationCalculatorExpanding

Which row of Pascal's triangle gives the coefficients in

(a+b)^4

?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-Q011 markL1 FoundationCalculatorExpanding

How many terms are there in the expansion of

(a+b)^8

?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-G013 marksL1 FoundationCalculatorExpanding

Find the first three terms in the expansion of

(1+2x)^5

in ascending powers of

x

. Give the coefficients of

x

and

x^2

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-Q031 markL1 FoundationCalculatorExpanding

\binom52

equals

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0012 marksL2 StandardCalculatorExpanding

Find the coefficient of

x^3

in the expansion of

(2-x)^6

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0143 marksL2 StandardCalculatorExpanding

Find the first three terms in the expansion of

\left(3-\dfrac{x}{3}\right)^6

in ascending powers of

x

. Enter them as one expression.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0022 marksL2 StandardCalculatorParticular terms

Find the coefficient of

x^2

in the expansion of

(3+x)^4

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0032 marksL2 StandardCalculatorParticular terms

Find the coefficient of

x^4

in the expansion of

(1-2x)^7

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0043 marksL2 StandardCalculatorExpanding

Find the first three terms in the expansion of

(2+x)^5

in ascending powers of

x

. Enter them as one expression.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0023 marksL3 ExamCalculatorParticular terms

Find the term independent of

x

in the expansion of

\left(x+\dfrac{2}{x}\right)^6

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0034 marksL3 ExamCalculatorProducts

The first three terms in the expansion of

(1+ax)^8

are

1+24x+bx^2

. Find

a

and

b

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0044 marksL3 ExamCalculatorProducts

Find the coefficient of

x^2

in the expansion of

(1+2x)(2-x)^5

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR-0173 marksL3 ExamCalculatorProducts

In the expansion of

(1+kx)^6

, the coefficient of

x^2

is

60

. Find the possible values of

k

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0053 marksL3 ExamCalculatorParticular terms

Find the term independent of

x

in the expansion of

\left(x^2+\dfrac1x\right)^6

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0063 marksL3 ExamCalculatorProducts

Find the coefficient of

x^2

in the expansion of

(1+x)(1-3x)^5

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-SR1-0074 marksL5 ExtensionCalculatorProducts

In the expansion of

(2+ax)^6

, where

a\neq0

, the coefficient of

x^2

is equal to the coefficient of

x^3

. Find

a

.

Salam Academy Original Practice · Proposed mark scheme

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