Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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2730 questions · page 27 of 137 · choose a topic above to narrow them down

SA-9709-P1-CG-0012 marksL1 FoundationCalculatorEquations

Find the equation of the line with gradient

3

passing through

(2,\,-1)

, in the form

y=mx+c

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0032 marksL1 FoundationCalculatorEquations

The line

L

has equation

3x+4y=12

. State the gradient of

L

and the

y

-coordinate where

L

crosses the

y

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0053 marksL1 FoundationCalculatorEquation

State the centre and radius of the circle

(x-3)^2+(y+2)^2=49

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0012 marksL1 FoundationCalculatorGradient & midpoint

Find the gradient of the line through

(-3,4)

and

(5,-2)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0012 marksL1 FoundationCalculatorGradients

Find the equation of the line parallel to

y=4x-1

that passes through

(2,3)

, in the form

y=mx+c

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-G011 markL1 FoundationCalculatorGradients

A line has gradient

\tfrac25

. State the gradient of a line perpendicular to it.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG3-G013 marksL1 FoundationCalculatorEquation

A circle has centre

(2,-3)

and radius

4

. Its equation can be written

x^2+y^2+ax+by+c=0

. Find

a

b

and

c

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-G014 marksL1 FoundationCalculatorEquations

A

(1,\,2)

and

B

(5,\,10)

. Find the gradient of

AB

, the midpoint of

AB

, and the length of

AB

in exact form.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM-0011 markL1 FoundationCalculatorConverting

Convert

2.5

radians to degrees, correct to 1 decimal place.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM-0022 marksL1 FoundationCalculatorArc length

Find the length of an arc of a circle of radius

6

cm that subtends an angle of

0.8

radians at the centre.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM-0032 marksL1 FoundationCalculatorSector area

Find the area of a sector of radius

5

cm and angle

1.2

radians.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM1-0011 markL1 FoundationCalculatorConverting

Convert

72^\circ

to radians, giving an exact answer.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM1-0021 markL1 FoundationCalculatorConverting

Convert

\dfrac{5\pi}{12}

radians to degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM1-0031 markL1 FoundationCalculatorConverting

Convert

1.2

radians to degrees, correct to 1 decimal place.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM2-G013 marksL1 FoundationCalculatorSector area

A sector has radius

10

cm and angle

0.6

radians. Find its arc length, its area and its perimeter.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CM-G012 marksL1 FoundationCalculatorConverting

(a) Convert

150^\circ

to radians, giving an exact answer. (b) Convert

\dfrac{3\pi}{4}

radians to degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-DF-0012 marksL1 FoundationCalculatorPower rule

Find

\dfrac{dy}{dx}

when

y=3x^4-5x^2+7

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-DF1-0032 marksL1 FoundationCalculatorPower rule

Find

\dfrac{dy}{dx}

when

y=x^5-2x^3+x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-DF2-0012 marksL1 FoundationCalculatorChain rule

Differentiate

(1-2x)^3

with respect to

x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-DF2-G012 marksL1 FoundationCalculatorChain rule

Differentiate

(3x+1)^5

with respect to

x

Salam Academy Original Practice · Proposed mark scheme