Geometry for Year 5: Explore Shapes and Their Properties

Question 1

Which 3D shape can be formed by folding a net with a rectangular base and two triangular sides?

Accepted Answer

Triangular prism

Answer

Cube

Answer

Cone

Answer

Square pyramid

Question 2

Compare and contrast a square and a rectangle. Explain how they are alike and how they differ.

Accepted Answer

Both have four sides and four angles, but the square's sides are all equal in length while the rectangle's sides are not.

Answer

Both have four sides and four angles, but only the square has right angles.

Answer

Both have four equal sides and four equal angles.

Answer

Both are quadrilaterals, but only the square has two pairs of parallel sides.

Question 3

How many sides are in a heptagon?

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 4

Which shape is NOT a quadrilateral?

Accepted Answer

Triangle

Answer

Square

Answer

Rectangle

Question 5

A rectangular garden has a length of 6 meters and a width of 4 meters. Find the area and perimeter of the garden.

Accepted Answer

Area: 24 square meters, Perimeter: 20 meters

Answer

Area: 10 square meters, Perimeter: 14 meters

Answer

Area: 12 square meters, Perimeter: 16 meters

Question 6

When you fold a rectangular piece of cardboard in half, what shape will the cross-section (the cut surface) be?

Accepted Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 7

Which shape has length, width, and height?

Accepted Answer

Cube

Answer

Square

Answer

Circle

Question 8

When a triangle is rotated 90 degrees clockwise around its center, what is the angle between its original and final positions?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

60 degrees

Answer

120 degrees

Question 9

A cube has a volume of 64 cubic units. How long is each side of the cube?

Accepted Answer

4 units

Answer

2 units

Answer

6 units

Answer

8 units

Question 10

You have a rectangular garden that is 10 meters long and 5 meters wide. You want to fence the garden with a fence that is 1 meter high. How many meters of fencing do you need?

Accepted Answer

30 meters

Answer

20 meters

Answer

50 meters

Answer

100 meters

Question 11

What is the name of the angle formed when two lines cross at right angles?

Accepted Answer

Right angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Straight angle

Question 12

What is the name of the line that divides a shape into two equal and mirror-image halves?

Accepted Answer

Line of symmetry

Answer

Diameter

Answer

Median

Answer

Radius

Question 13

How many flat faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 14

Which of the following is the formula for finding the area of a triangle?

Accepted Answer

Area = ½ × base × height

Answer

Area = πr²

Answer

Area = length × width

Answer

Area = 4πr²

Question 15

What is the name of the shape that has three equal sides?

Accepted Answer

Triangle

Answer

Square

Answer

Rhombus

Answer

Trapezium

Question 16

Which of the following 3D shapes has a curved surface?

Accepted Answer

Sphere

Answer

Cube

Answer

Cuboid

Answer

Pyramid

Question 17

What is the name of the point where three edges of a cube meet?

Accepted Answer

Vertex

Answer

Face

Answer

Edge

Answer

Corner

Question 18

Which of the following shapes is similar to a cone?

Accepted Answer

Pyramid

Answer

Sphere

Answer

Cube

Answer

Cuboid

Question 19

Which shape has 4 equal sides and 4 right angles?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Pentagon

Question 20

A hexagon has how many sides?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 21

What type of transformation occurs when a shape is flipped over a line?

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Answer

Dilation

Question 22

Which 3D shape has 6 square faces?

Accepted Answer

Cube

Answer

Sphere

Answer

Cone

Answer

Pyramid

Question 23

How many vertices does a triangular prism have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 24

What is a 2D shape with four equal sides and four right angles called?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Rectangle

Question 25

Which of these is a transformation where a shape is flipped over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 26

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 27

Which of these is a regular hexagon?

Accepted Answer

A shape with six equal sides and six equal angles

Answer

A shape with six equal sides and six different angles

Answer

A shape with six sides and six right angles

Answer

A shape with six sides and six obtuse angles

Question 28

What is the total measure of the interior angles of a pentagon?

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 29

Which of these is a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 30

What is the name for the shape formed by connecting two identical semicircles?

Accepted Answer

Lunula

Answer

Circle

Answer

Ellipse

Answer

Oval

Question 31

Identify the quadrilateral that has four equal sides and four right angles.

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Answer

Parallelogram

Question 32

What is the measurement of an angle that forms a straight line?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 33

Name the 3D shape that has two parallel circular faces.

Accepted Answer

Cylinder

Answer

Cube

Answer

Sphere

Answer

Cone

Question 34

What is the formula to calculate the area of a triangle?

Accepted Answer

Area = (base x height) / 2

Answer

Area = length x width

Answer

Area = πr²

Answer

Area = 4 x πr

Question 35

What is the total sum of the interior angles of a quadrilateral?

Accepted Answer

360 degrees

Answer

180 degrees

Answer

270 degrees

Answer

540 degrees

Question 36

What do we call the point where two or more lines meet?

Accepted Answer

Vertex

Answer

Edge

Answer

Face

Answer

Side

Question 37

What does symmetry mean when describing shapes?

Accepted Answer

A shape that can be divided into two equal parts that are mirror images

Answer

A shape that looks the same from all sides

Answer

A shape with many sides

Answer

A shape that is perfectly round

Question 38

Which of these shapes is three-dimensional?

Accepted Answer

Cube

Answer

Square

Answer

Triangle

Answer

Circle

Question 39

How many sides does a pentagon have?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 40

Which transformation flips a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Enlargement

Question 41

Which shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Answer

Parallelogram

Question 42

What is the point where two lines cross called?

Accepted Answer

Vertex

Answer

Edge

Answer

Face

Answer

Angle

Question 43

What are the similarities and differences between rectangles and squares?

Accepted Answer

Both rectangles and squares have 4 right angles.

Accepted Answer

Squares are rectangles, but rectangles are not always squares.

Accepted Answer

Both rectangles and squares have 2 pairs of parallel sides.

Question 44

What's the formula to calculate the volume of a rectangular prism?

Accepted Answer

Length x Width x Height

Answer

Length + Width + Height

Answer

Length x Height

Answer

Width x Height

Question 45

Which of these is a three-dimensional (3D) shape?

Accepted Answer

Cube

Answer

Square

Answer

Triangle

Answer

Circle

Question 46

Which two-dimensional (2D) shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Question 47

Which transformation involves flipping a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Dilation

Answer

Rotation

Question 48

Which shape has the most faces?

Accepted Answer

Cube

Answer

Cone

Answer

Sphere

Answer

Tetrahedron

Question 49

Which property is NOT true for a triangle?

Accepted Answer

It has curves

Answer

It has an area

Answer

It has three sides

Answer

The sum of its interior angles is 180 degrees

Question 50

Which of the following is a three-dimensional shape?

Accepted Answer

Cube

Answer

Circle

Answer

Square

Question 51

What is the shape made up of when you unfold a cube?

Accepted Answer

Six squares

Answer

Three triangles

Answer

Two circles

Answer

Four rectangles

Question 52

What is a line of symmetry?

Accepted Answer

A line that divides a shape into two identical halves

Answer

A line that intersects a shape

Answer

A line that is perpendicular to a side of a shape

Question 53

Which of these properties describes a square?

Accepted Answer

Equal length sides and right angles

Answer

Only two equal sides

Answer

All sides are parallel

Answer

Equal angles but not equal sides

Question 54

What is the name of a triangle with all sides equal in length?

Accepted Answer

Equilateral triangle

Answer

Isosceles triangle

Answer

Right triangle

Answer

Scalene triangle

Question 55

Which shape has rotational symmetry of order 6?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Rectangle

Question 56

What is the area of a rectangle that has a length of 6 cm and a width of 4 cm?

Accepted Answer

24 cm²

Answer

12 cm²

Answer

36 cm²

Answer

10 cm²

Question 57

Which of these transformations does NOT change the size or shape of a figure?

Accepted Answer

Translation

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 58

Which of these shapes is three-dimensional?

Accepted Answer

Sphere

Answer

Circle

Answer

Square

Answer

Triangle

Question 59

What is the volume of a rectangular prism that has a length of 5 cm, a width of 3 cm, and a height of 2 cm?

Accepted Answer

30 cm³

Answer

15 cm³

Answer

45 cm³

Question 60

A square has four equal sides and four right angles. Which of these shapes is a square?

Accepted Answer

Image of a square

Answer

Image of a circle

Answer

Image of a rectangle

Answer

Image of a triangle

Question 61

The point where two or more lines meet is called a:

Accepted Answer

Vertex

Answer

Edge

Answer

Face

Answer

Angle

Question 62

An angle that measures more than 90 degrees but less than 180 degrees is called an:

Accepted Answer

Obtuse angle

Answer

Right angle

Answer

Acute angle

Answer

Reflex angle

Question 63

The transformation that moves a shape without changing its size or shape is called:

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 64

Which of these 3D shapes has a circular base and one pointy top?

Accepted Answer

Cone

Answer

Cylinder

Answer

Sphere

Answer

Cube