Practise questions · Salam Academy

SA-4024-CG3-0051 markL1 FoundationCalculatorCurves

Which equation has an S-shaped graph that can cross the

x

-axis up to three times?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0012 marksL1 FoundationNon-calculatorTangents

A tangent to a curve at

P

passes through

(1,2)

and

(3,10)

. Estimate the gradient of the curve at

P

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0021 markL1 FoundationCalculatorTangents

On a distance–time graph, the gradient of the tangent at a point gives

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0031 markL1 FoundationCalculatorTangents

On a speed–time graph, the gradient of the tangent at a point gives

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0072 marksL1 FoundationNon-calculatorGraphical solutions

The graphs of

y=x^2

and

y=x+2

are drawn. Find the positive

x

-coordinate where they cross.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0101 markL1 FoundationNon-calculatorGraphical solutions

Using the graph of

y=x^2+4

, write down how many solutions

x^2+4=0

has.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG4-0121 markL1 FoundationCalculatorTangents

At a maximum point of a curve, the gradient of the tangent is

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-G014 marksL1 FoundationNon-calculatorGradient & midpoint

A

is

(2,3)

and

B

is

(8,11)

. Find (a) the gradient of

AB

(b) the length of

AB

(c) the coordinates of the midpoint of

AB

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-Q011 markL1 FoundationCalculatorPerpendicular

A line has gradient

\tfrac23

. A line perpendicular to it has gradient

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-Q021 markL1 FoundationCalculatorStraight lines

The line

y=5-2x

crosses the

y

-axis at

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-Q031 markL1 FoundationCalculatorTravel graphs

The area under a speed–time graph gives the

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0022 marksL1 FoundationNon-calculatorPolygons

Find the sum of the interior angles of a nonagon (

9

sides).

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0032 marksL1 FoundationNon-calculatorAngle facts

Triangle

ABC

is isosceles with

AB=AC

, and angle

BAC=52^\circ

. Find angle

ABC

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0041 markL1 FoundationNon-calculatorAngle facts

Two parallel lines are crossed by a transversal. One of a pair of co-interior angles is

115^\circ

. Find the other.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0061 markL1 FoundationNon-calculatorCircle angles

ABCD

is a cyclic quadrilateral with angle

DAB=78^\circ

. Find angle

BCD

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0082 marksL1 FoundationNon-calculatorCircle angles

AB

is a diameter of a circle and

C

is a point on the circle. Angle

CAB=35^\circ

. Find angle

ABC

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0131 markL1 FoundationNon-calculatorBearings

The bearing of

B

from

A

is

065^\circ

. Find the bearing of

A

from

B

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0141 markL1 FoundationNon-calculatorBearings

The bearing of

Q

from

P

is

310^\circ

. Find the bearing of

P

from

Q

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0151 markL1 FoundationCalculatorScale & symmetry

How many lines of symmetry does a rhombus (that is not a square) have?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0171 markL1 FoundationNon-calculatorAngle facts

In triangle

ABC

, angle

A=58^\circ

and angle

B=47^\circ

. Side

BC

is extended beyond

C

to

D

. Find angle

ACD

.

Salam Academy Original Practice · Proposed mark scheme

Question bank