Geometry - KS2 Maths Lessons Online

Shape Properties & 3D Shapes

Learning Objective: Pupils should be able to recognise and describe 3D Shapes Compare and classify geometric shapes based on their properties and sizes

Shape Properties and 3D shapes

Worksheet

Quiz

Shape properties and 3d shapes

1 / 10

Which 3D shape has **2 circular faces and 1 curved face**?

Cone

Sphere

Cylinder

Pyramid

2 / 10

How many lines of symmetry does a regular hexagon have?

3 / 10

Which shape has **interior angles that add up to 180°**?**

Square

Rectangle

Triangle

Pentagon

4 / 10

What is the name of a 3D shape with 6 rectangular faces?

Cube

Square-based pyramid

Cuboid

Triangular prism

5 / 10

Which of these is **not** a quadrilateral?

Trapezium

Pentagon

Parallelogram

Rhombus

6 / 10

How many edges does a square-based pyramid have?

7 / 10

Which shape has **only one line of symmetry**?**

Square

Rectangle

Isosceles triangle

Equilateral triangle

8 / 10

How many faces does a triangular prism have?

9 / 10

Which 2D shape has **4 equal sides and 4 right angles?

Rectangle

Rhombus

Square

Parallelogram

10 / 10

How many vertices does a cube have?

Your score is

The average score is 100%

Making 3D Shapes

Learning Objective: Pupils should be able to recognise, describe and build simple 3-D shapes, including making nets.

Making 3D Shapes

Worksheet

Quiz

Making 3d shapes

1 / 10

Which statement is **true** about nets of 3D shapes?

All nets must be symmetrical

A net must have the same number of faces as the 3D shape

A net can have curved edges only if the shape is a sphere

You can make a cube from any 6 connected squares

2 / 10

A cereal box is unfolded into a flat shape. What does its net look like?

6 squares

6 rectangles (including squares)

4 rectangles and 2 squares

2 circles and a rectangle

3 / 10

Which net will **not** fold into a closed 3D shape?

6 squares arranged in a “T” shape (valid cube net)

4 triangles meeting at a point (pyramid net)

1 circle and 1 triangle

2 triangles and 3 rectangles (prism net)

4 / 10

How many faces does the 3D shape have if its net shows **1 square and 4 triangles**?

5 / 10

When you fold this net, you get a 3D shape with 5 faces. The net shows 2 triangles and 3 rectangles. What is the shape?

Square-based pyramid

Triangular prism

Pentagonal pyramid

Cuboid

6 / 10

Which 3D shape does this net make?

(Net: 2 circles and 1 rectangle)

Cone

Cylinder

Sphere

Hemisphere

7 / 10

A net for a square-based pyramid must have:

4 triangles and 1 square

4 squares and 1 triangle

5 triangles

6 squares

8 / 10

Which of these **cannot** be a net of a cube?

A cross shape with 6 squares

4 squares in a row with 1 square attached to the second and third

6 squares in a straight line

A “T” shape with 6 squares arranged correctly

9 / 10

How many rectangles are needed in the net of a **triangular prism**?

10 / 10

Which 3D shape can be made from a net that has **6 identical squares**?

Cuboid

Square-based pyramid

Cube

Triangular prism

Your score is

The average score is 90%

Circles

Learning Objective: Pupils should be able to illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

Circles

Worksheet

Quiz

Circles

1 / 10

Which diagram shows a **diameter**?

(Imagine four options described)

A line from centre to edge

A line from edge to edge **through the centre**

A curved line around the circle

A line from edge to edge **not through the centre**

2 / 10

Which part of the circle is **always** shorter than the diameter?

Circumference

Radius

A chord that is not a diameter

Both B and C

3 / 10

If the radius of a circle is 9 mm, what is the diameter?

4.5 mm

9 mm

18 mm

27 mm

4 / 10

Look at this circle. The line labelled “r” goes from the centre to the edge. What is “r” called?

Diameter

Circumference

Radius

Sector

5 / 10

Which of these lines **must** pass through the centre of the circle?

Radius

Chord

Diameter

Arc

6 / 10

A circle has a diameter of 14 cm. What is its radius?

3.5 cm

7 cm

14 cm

28 cm

7 / 10

What is the name of the distance around the outside of a circle?

Radius

Diameter

Perimeter

Circumference

8 / 10

Which statement is **true**?

The radius is twice the diameter

The diameter is half the radius

The diameter is twice the radius

The circumference is the same as the diameter

9 / 10

If the radius of a circle is 5 cm, what is the diameter?

2.5 cm

5 cm

10 cm

15 cm

10 / 10

What is the name of the line from the centre of a circle to the edge?

Diameter

Circumference

Radius

Chord

Your score is

The average score is 100%

Angles in Shapes

Learning Objective : Pupils should be able to find unknown angles in any triangles, quadrilaterals, and regular polygons

Angles in shapes

Worksheet

Quiz

Angles in shapes

1 / 10

In a **square**, what is the size of each interior angle?

45°

60°

90°

120°

2 / 10

A triangle has angles of 35° and 110°. What type of triangle is it?

Acute

Right-angled

Obtuse

Equilateral

3 / 10

Which shape **always** has four right angles?

Rhombus

Parallelogram

Rectangle

Trapezium

4 / 10

A regular pentagon has interior angles that add up to 540°. What is the size of **one angle**?

90°

108°

120°

135°

5 / 10

Which type of triangle **always** has one angle of 90°?

Isosceles

Equilateral

Scalene

Right-angled

6 / 10

In an **equilateral triangle**, what is the size of each angle?

45°

60°

90°

120°

7 / 10

A quadrilateral has three angles: 90°, 90°, and 100°. What is the fourth angle?

60°

80°

90°

100°

8 / 10

What is the total of the interior angles in **any quadrilateral**?**

180°

270°

360°

540°

9 / 10

A triangle has angles of 50° and 60°. What is the size of the third angle?

60°

70°

80°

90°

10 / 10

What is the total of the interior angles in **any triangle**?

90°

180°

270°

360°

Your score is

The average score is 100%

Angle Rules

Learning Objective: Pupils should be able to recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

Angle Rules

Worksheet

Quiz

Angle rules

1 / 10

An angle measures 270°. What is it called?

Obtuse

Straight

Reflex

Right

2 / 10

Angles A and B are **vertically opposite**. Angle A = 115°. What is angle B?

65°

115°

180°

245°

3 / 10

How many right angles are in a full turn?

4 / 10

Which of these is a **reflex angle**?

45°

90°

170°

210°

5 / 10

Two straight lines cross. One angle is 50°. What is the size of the **vertically opposite angle**?

40°

50°

130°

180°

6 / 10

Which type of angle is **greater than 90° but less than 180°**?

Acute

Right

Obtuse

Reflex

7 / 10

Three angles meet at a point. They are 120°, 90°, and 80°. What is the fourth angle?

60°

70°

80°

90°

8 / 10

What is the total of the angles **around a point**?

90°

180°

270°

360°

9 / 10

Two angles lie on a straight line. One is 65°. What is the other?

65°

105°

115°

125°

10 / 10

What is the size of an angle that is **half a full turn**?

90°

180°

270°

360°

Your score is

The average score is 100%

Coordinates

Learning Objective: Pupils should be able to describe positions on the full coordinate grid (all 4 quadrants)

Coordinates

Worksheet

Quiz

Coordinates

1 / 9

What are the coordinates of the origin?

(0, 1)

(1, 0)

(0, 0)

(1, 1)

2 / 9

A rectangle has vertices at (–2, 1), (3, 1), and (3, –2) What are the coordinates of the fourth vertex?

(–2, –2)

(–2, 3)

(1, –2)

(–3, –2)

3 / 9

Which pair of coordinates are **2 units apart vertically**?

(3, 4) and (5, 4)

(3, 4) and (3, 6)

(3, 4) and (4, 5)

(3, 4) and (1, 4)

4 / 9

A point is reflected in the y-axis. Its original coordinate is (4, 2). What is its new coordinate?

(–4, 2)

(4, –2)

(–4, –2)

(2, 4)

5 / 9

Which point is **highest up** on the grid?

(2, 5)

(4, 3)

(1, 6)

(5, 2)

6 / 9

A triangle has vertices at (2, 3), (5, 3), and (2, 7). What type of triangle is it?

Equilateral

Isosceles

Right-angled

Scalene

7 / 9

Three vertices of a square are at (1, 1), (1, 4), and (4, 4). What are the coordinates of the fourth vertex?

(4, 1)

(0, 1)

(1, 0)

(4, 0)

8 / 9

A point is at (5, 2). It is moved **3 squares left and 4 squares up**. What are its new coordinates?

(2, 6)

(8, 6)

(2, –2)

(5, 6)

9 / 9

What are the coordinates of the point shown below?

(It is 4 units right along the x-axis and 3 units up the y-axis.)

(3, 4)

(4, 3)

(4, 4)

(3, 3)

Your score is

The average score is 88%

Reflection

Learning Objective: Pupils should be able to master the reflection of shapes on a full coordinate grid (all four quadrants), using the x and y axes as mirror lines, plotting reflected coordinates accurately.

Reflection

Worksheet

Quiz

Reflections

1 / 10

The mirror line is the **y-axis**. A point is 4 units to the right of the mirror line. Where is its reflection?

4 units above the mirror line

4 units below the mirror line

4 units to the left of the mirror line

On the mirror line

2 / 10

A triangle has vertices at (1, 1), (1, 3), and (4, 1). It is reflected in the **x-axis**. What are the coordinates of the reflected triangle?

(–1, 1), (–1, 3), (–4, 1)

(1, –1), (1, –3), (4, –1)

(1, 1), (1, –3), (4, 1)

(–1, –1), (–1, –3), (–4, –1)

3 / 10

A letter “D” is reflected in a **vertical mirror line**. What does the reflection look like?

a backwards D

4 / 10

A shape has a vertex at (–3, 2). It is reflected in the **y-axis**. What are the coordinates of the image?

(3, 2)

(–3, –2)

(3, –2)

(–2, 3)

5 / 10

Which of these **must** be true for a shape and its reflection?

They are the same size and shape

They face the same direction

They are joined together

They overlap

6 / 10

A square is drawn to the **right** of a vertical mirror line. Where will its reflection appear?

Above the mirror line

Below the mirror line

To the left of the mirror line

On top of the original square

7 / 10

A point is at (5, 4). It is reflected in the **x-axis**. What are its new coordinates?

(–5, 4)

(5, –4)

(–5, –4)

(4, 5)

8 / 10

Which diagram shows a correct reflection in a **horizontal mirror line**?

*(Imagine four options)*

Shape flipped upside down

Shape flipped left to right

Shape moved to the right

Shape rotated 90°

9 / 10

A triangle has a vertex at (2, 3). It is reflected in the **y-axis**. What are the coordinates of the reflected vertex?

(–2, 3)

(2, –3)

(–2, –3)

(3, 2)

10 / 10

A shape is reflected in a **vertical mirror line**. Which statement is true?

The shape moves up

The shape flips left–right

The shape flips top–bottom

The shape rotates

Your score is

The average score is 100%

Translation

Learning Objective: Pupils should be able to use the full coordinate grid (all four quadrants) to describe positions, and to draw and translate simple shapes, moving them left/right (x-axis) and up/down (y-axis) without changing size or orientation

Translation

Worksheet

Quiz

Translation

1 / 10

A rectangle is translated. What **does not** change?

Its position

Its size and shape

Its coordinates

Its orientation

2 / 10

Which pair of points shows a translation of **(0, –5)**?

(2, 3) → (2, 8)

(2, 3) → (7, 3)

(2, 3) → (2, –2)

(2, 3) → (–3, 3)

3 / 10

A shape is translated **6 squares right and 1 square down**. Which vector describes this?

(6, 1)

(–6, –1)

(6, –1)

(1, –6)

4 / 10

Point P is at (–1, –3). After a translation of **(2, 4)**, where is the new point?

(1, 1)

(–3, 1)

(1, –7)

(–1, 1)

5 / 10

A square is translated by **(–4, 5)**. What does this mean?

4 right, 5 down

4 left, 5 up

4 up, 5 left

5 right, 4 down

6 / 10

Which diagram shows a **translation** (not a reflection or rotation)?

Shape flipped over a line

Shape turned around a point

Shape slid to a new position without turning

Shape made larger

7 / 10

A triangle has vertices at (0, 0), (2, 0), and (1, 2). It is translated by **(3, –1)**. What are the new coordinates?

(3, –1), (5, –1), (4, 1)

(–3, 1), (–1, 1), (–2, 3)

(3, 1), (5, 1), (4, 3)

(0, 0), (2, 0), (1, 2)

8 / 10

Which statement correctly describes the translation from point A (1, 4) to point B (–2, 6)?

3 left, 2 up

3 right, 2 down

2 left, 3 up

3 left, 2 down

9 / 10

A point is at (2, 5). It is translated **5 squares left and 2 squares down**. What are its new coordinates?

(7, 3)

(–3, 3)

(–3, 7)

(3, –3)

10 / 10

A shape is moved 4 squares right and 3 squares up. How would you describe this translation?

(4, –3)

(–4, 3)

(3, 4)

(4, 3)

Your score is

The average score is 100%

Shape Properties & 3D Shapes

Making 3D Shapes

Circles

Angles in Shapes

Angle Rules

Coordinates

Reflection

Translation

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