Practise

Question bank

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

TopicSkillDifficulty

6854 questions · page 5 of 343 · choose a topic above to narrow them down

SA-4024-GE1-0012 marksL1 FoundationNon-calculatorAngle facts

Three angles on a straight line are

x

2x

and

3x

. Find

x

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE1-0021 markL1 FoundationCalculatorAngle facts

A line crosses two parallel lines, making a Z-shape. The two angles inside the Z are

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE1-0032 marksL1 FoundationNon-calculatorPolygons

Find the size of each exterior angle of a regular octagon.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE1-0061 markL1 FoundationCalculatorPolygons

The interior angles of any quadrilateral add up to

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0012 marksL1 FoundationNon-calculatorCircle angles

A

B

and

C

lie on a circle with centre

O

. Angle

ACB=38^\circ

. Find the angle

AOB

at the centre, standing on the same arc.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0021 markL1 FoundationNon-calculatorCircle angles

A

B

C

and

D

lie on a circle, with

C

and

D

on the same side of the chord

AB

. Angle

ADB=41^\circ

. Write down angle

ACB

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0061 markL1 FoundationCalculatorTangents

The angle between a tangent and the radius at the point of contact is

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE3-0012 marksL1 FoundationCalculatorSimilar shapes

Two triangles are similar. The smaller has sides

4

cm and

6

cm; the matching sides of the larger are

10

cm and

x

cm. Find

x

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE3-0021 markL1 FoundationCalculatorSimilar shapes

A length of

8

cm on one shape corresponds to

12

cm on a similar, larger shape. Find the length scale factor.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE3-0051 markL1 FoundationCalculatorSimilar shapes

Which of these pairs of shapes are always similar?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE3-0091 markL1 FoundationCalculatorArea & volume scale

Two similar solids have volumes in the ratio

8:27

. Their lengths are in the ratio

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0011 markL1 FoundationNon-calculatorBearings

B

is due east of

A

. Write down the bearing of

B

from

A

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0021 markL1 FoundationNon-calculatorBearings

Write down the three-figure bearing of the direction south-west.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0041 markL1 FoundationNon-calculatorBearings

The bearing of

B

from

A

200^\circ

. Find the bearing of

A

from

B

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0052 marksL1 FoundationCalculatorScale & symmetry

A map has scale

1:50\,000

. Two towns are

6

cm apart on the map. Find the real distance in km.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0071 markL1 FoundationCalculatorScale & symmetry

Write down the order of rotational symmetry of a regular hexagon.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE4-0081 markL1 FoundationCalculatorScale & symmetry

How many lines of symmetry does an equilateral triangle have?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE5-0011 markL1 FoundationCalculatorLoci

The locus of points exactly

3

cm from a point

P

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE5-0021 markL1 FoundationCalculatorLoci

The locus of points equidistant from two points

A

and

B

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE5-0031 markL1 FoundationCalculatorLoci

The locus of points equidistant from two intersecting lines is

Salam Academy Original Practice · Proposed mark scheme