Geometry Quizzes for Year 5 Primary School Students in the UK

Question 1

What are the key differences between regular and irregular polygons? Provide an example of each.

Accepted Answer

Regular polygons have equal sides and equal angles, while irregular polygons have unequal sides or unequal angles.

Answer

Regular polygons have more sides than irregular polygons.

Answer

Irregular polygons can be equilateral, while regular polygons cannot.

Answer

Regular polygons can only have 4 or 6 sides, while irregular polygons can have any number of sides.

Question 2

Can a triangle have two right angles? Explain your answer with a logical argument and provide a counter-example if possible.

Accepted Answer

No, a triangle cannot have two right angles because the sum of the interior angles of a triangle is always 180 degrees.

Answer

Yes, a triangle can have two right angles. For example, a 90-90-0 triangle.

Answer

Yes, a triangle can have two right angles if the third angle is also a right angle.

Answer

No, a triangle cannot have two right angles because that would make it a quadrilateral.

Question 3

Which shape has six sides that are all the same length and four corners that are all right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Question 4

When you turn a square 90 degrees:

Accepted Answer

Neither its shape nor its size changes.

Answer

Its shape and size change.

Answer

Only its shape changes.

Answer

Only its size changes.

Question 5

A regular hexagon has sides measuring 4 cm each. Calculate its perimeter and area.

Accepted Answer

Perimeter: 24 cm, Area: 48 cm²

Answer

Perimeter: 12 cm, Area: 24 cm²

Answer

Perimeter: 28 cm, Area: 56 cm²

Question 6

What is the name for a pattern made by repeating the same shape without any gaps or overlaps?

Accepted Answer

Tessellation

Answer

Pattern

Answer

Mosaic

Question 7

Which shape has four equal straight sides and four right angles?

Accepted Answer

Square

Answer

Pentagon

Answer

Rectangle

Answer

Triangle

Question 8

How do you make a 3D model of a triangular prism using nets?

Accepted Answer

Cut out the net and fold it along the edges.

Answer

Draw a triangular prism on paper and cut it out.

Answer

Use glue to stick together three triangular pieces of card.

Answer

There is no way to construct a 3D triangular prism using nets.

Question 9

When a circle is rotated 120 degrees around its center, what happens to the circle?

Accepted Answer

Its orientation changes.

Answer

Its shape changes.

Answer

Its size changes.

Answer

It is flipped over.

Question 10

A cube has a side length of 5 centimeters (cm). What is the cross-sectional area of the cube? How does this differ from the surface area of the cube?

Accepted Answer

The cross-sectional area is the area of one face of the cube, while the surface area is the total area of all six faces.

Answer

The cross-sectional area is the area of the base of the cube, while the surface area is the area of the top and bottom faces.

Answer

The cross-sectional area is the area of the cube's diagonal, while the surface area is the area of the cube's edges.

Answer

The cross-sectional area is the same as the surface area of the cube.

Question 11

Which quadrilateral has four right angles?

Accepted Answer

Rectangle

Accepted Answer

Square

Answer

Trapezium

Answer

Kite

Question 12

Can a triangle have two angles that are greater than 90 degrees? Explain your answer using logical reasoning and provide a counter-example if possible.

Accepted Answer

No, a triangle cannot have two angles greater than 90 degrees.

Answer

Yes, a triangle can have two angles greater than 90 degrees.

Question 13

A rectangular garden measures 20 meters in length and 15 meters in width. What is the ratio of its length to its width?

Accepted Answer

2:1

Answer

1:2

Answer

1:3

Answer

3:1

Question 14

What is the formula for calculating the area of a semicircle?

Accepted Answer

½πr² cm²

Answer

πr² cm²

Answer

2πr cm²

Answer

4πr cm²

Question 15

Which shape is a flat, closed figure with no corners or sides?

Accepted Answer

Circle

Answer

Square

Answer

Cube

Answer

Triangle

Question 16

A rectangle has four equal sides and four right angles. What is its name?

Accepted Answer

Square

Answer

Trapezoid

Answer

Rhombus

Answer

Parallelogram

Question 17

A pyramid has a square base and 4 triangular faces. What type of pyramid is it?

Accepted Answer

Square pyramid

Answer

Triangular pyramid

Answer

Rectangular pyramid

Answer

Hexagonal pyramid

Question 18

Which of these is NOT a type of angle?

Accepted Answer

Curved

Answer

Acute

Answer

Obtuse

Answer

Straight

Question 19

Which of these formulas is used to calculate the area of a rectangle?

Accepted Answer

A = l x w

Answer

A = l + w

Answer

A = (1/2) x b x h

Answer

A = πr²

Question 20

Which of these is NOT a measurement of a circle?

Accepted Answer

Height

Answer

Radius

Answer

Diameter

Answer

Area

Question 21

A pyramid has a base that is a what shape?

Accepted Answer

Triangle

Answer

Square

Answer

Rectangle

Answer

Circle

Question 22

Which of the following is a 3D shape?

Accepted Answer

Cylinder

Answer

Square

Answer

Rectangle

Answer

Triangle

Question 23

Which of these is a 2D shape?

Accepted Answer

Rectangle

Answer

Sphere

Answer

Cylinder

Answer

Pyramid

Question 24

What is the name of the shape with four equal sides and four right angles?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Trapezium

Question 25

Which of these shapes has no vertices?

Accepted Answer

Circle

Answer

Triangle

Answer

Cube

Answer

Cone

Question 26

What is the formula for finding the area of a rectangle?

Accepted Answer

length x width

Answer

(length + width) / 2

Answer

(base + height) / 2

Answer

πr²

Question 27

What is the name of the shape that is formed when two or more straight lines meet at a single point?

Accepted Answer

Angle

Answer

Vertex

Answer

Edge

Answer

Plane

Question 28

What is the 3D shape named that has a circular base and a single vertex?

Accepted Answer

Cone

Answer

Sphere

Answer

Pyramid

Answer

Cube

Question 29

Which property does NOT describe a square?

Accepted Answer

The shape has 5 sides

Answer

All sides are equal in length

Answer

Opposite sides are parallel

Answer

All angles are right angles

Question 30

What is the angle of rotation for a clockwise quarter turn?

Accepted Answer

90 degrees

Answer

45 degrees

Answer

180 degrees

Answer

270 degrees

Question 31

Which formula correctly represents the volume of a cone?

Accepted Answer

V = πr²h

Answer

V = (4/3)πr³

Answer

V = lwh

Answer

V = bh

Question 32

Which of these shapes has four equal sides?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 33

What is the name of the 3D shape that has two circular faces?

Accepted Answer

Sphere

Answer

Cube

Answer

Cylinder

Answer

Pyramid

Question 34

How many edges does a cube have?

Accepted Answer

12

Answer

4

Answer

6

Answer

8

Question 35

Which of these is a type of prism?

Accepted Answer

Cube

Answer

Sphere

Answer

Cone

Answer

Pyramid

Question 36

Which of the following nets can be folded to create a cube?

Accepted Answer

A square net with two pairs of parallel sides

Answer

A rectangular net with four equal sides

Answer

A triangular net with three equal sides

Answer

A circular net with no edges

Question 37

The radius of a circle is 4 cm. What's its area?

Accepted Answer

16π cm²

Answer

8π cm²

Answer

32π cm²

Answer

64π cm²

Question 38

Which of these shapes is known as a quadrilateral?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Sphere

Question 39

What shape has two flat circular ends and a curved surface in between?

Accepted Answer

Cylinder

Answer

Cube

Answer

Cone

Answer

Pyramid

Question 40

What shape is formed when you join the midpoints of a quadrilateral's sides?

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Rhombus

Answer

Kite

Question 41

What is the theorem that says the sum of the angles in a triangle is 180°?

Accepted Answer

Angle Sum Theorem

Answer

Pythagoras' Theorem

Answer

Triangle Inequality Theorem

Answer

Euler's Theorem

Question 42

What is a shape with three sides called?

Accepted Answer

Triangle

Answer

Square

Answer

Circle

Answer

Rectangle

Question 43

What is special about a circle?

Accepted Answer

All points are the same distance from the center.

Answer

It has straight edges.

Answer

It has four equal sides.

Answer

It has sharp corners.

Question 44

What is the total of the angles in a triangle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 45

What is the space inside a box called?

Accepted Answer

Volume

Answer

Area

Answer

Perimeter

Answer

Length

Question 46

Which of these shapes has all sides equal?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Rectangle

Question 47

What do you call a shape with two parallel sides?

Accepted Answer

Trapezoid

Answer

Triangle

Answer

Circle

Answer

Square

Question 48

How can examining cross-sections of a 3D shape help us understand its properties?

Accepted Answer

Cross-sections show us the inside of the shape.

Answer

Cross-sections tell us the volume of the shape.

Answer

Cross-sections are always the same shape as the 3D shape.

Answer

Cross-sections are not useful for understanding 3D shapes.

Question 49

How many degrees are there in all the inside angles of any four-sided shape?

Accepted Answer

360

Answer

180

Answer

270

Answer

450

Question 50

How do the surface area and volume of a cylinder change when we increase its radius or height?

Accepted Answer

Radius increase: Surface area and volume increase. Height increase: Only volume increases.

Answer

Radius increase: Surface area decreases, volume increases. Height increase: Surface area and volume increase.

Answer

Radius increase: Surface area and volume decrease. Height increase: Surface area increases, volume decreases.

Question 51

How do you construct a regular hexagon using a compass and a straightedge?

Accepted Answer

Divide a circle into six equal parts and connect the points

Answer

Find the midpoint of the base and draw a perpendicular line

Answer

Draw six equal sides and connect them

Question 52

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 53

An angle that measures less than 90 degrees is called:

Accepted Answer

Acute

Answer

Obtuse

Answer

Right

Answer

Straight

Question 54

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 55

Which of the following is a prism?

Accepted Answer

Cube

Answer

Sphere

Answer

Pyramid

Answer

Cone

Question 56

A shape with two parallel sides and four right angles is called a:

Accepted Answer

Rectangle

Answer

Square

Answer

Triangle

Answer

Trapezium

Question 57

Calculate the volume of a square-based pyramid with a base edge length of 4 cm and a height of 5 cm.

Accepted Answer

33.33 cm³

Answer

20 cm³

Answer

40 cm³

Answer

50 cm³

Question 58

What shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Kite

Answer

Rectangle

Answer

Triangle

Question 59

Which 3D shape has six square faces?

Accepted Answer

Cube

Answer

Pyramid

Answer

Sphere

Answer

Cylinder

Question 60

What is a regular polygon?

Accepted Answer

A shape with equal sides and equal angles

Answer

A shape with five or more sides

Answer

A shape with three or more sides

Answer

A shape with four or more sides

Question 61

Calculate the volume of a cube with a side length of 4 cm.

Accepted Answer

64 cm³

Answer

48 cm³

Answer

32 cm³

Answer

16 cm³

Question 62

What best describes a net of a cube?

Accepted Answer

A 2D shape that can be folded into a cube

Answer

A shape that has six sides

Answer

A shape that has eight vertices

Answer

A 3D shape that has been flattened

Question 63

What do you call the point where two or more lines intersect?

Accepted Answer

Vertex

Answer

Edge

Answer

Centre

Answer

Face

Question 64

Which of the following shapes has all sides and angles equal?

Accepted Answer

Regular polygon

Answer

Trapezoid

Answer

Octagon

Answer

Rectangle