Pre-LearningAssessment

Year 8 Module 5: 3-D geometry

Name: ………………………………………………………………….

Class: ……………………………………………………………………

Teacher: ……………………………………………………………….

What are we learning this half term?

Unit 9: Rounding and Accuracy This Unit will further your understanding of rounding numbers to include significant figures. Much of the learning will

be done within the context of the following Units.

Unit 10: Circumference and Area of a Circle This Unit will introduce you to the value of pi; the ratio of a circle’s circumference to its diameter. You will use this to

calculate the area and perimeter of circles, as well as consolidating your understanding of the area and perimeter of other shapes.

Unit 11: 3D shapes and nets In this Unit you will investigate the properties of 3D shapes. You will learn to identify and create nets of 3D shapes,

and build them using blocks.

Unit 12: Surface Area and Volume of 3D shapes This Unit will apply your understanding of 3D shapes to finding the Surface Area and Volume of cubes, cuboids and

other prisms. You will also learn to convert between measures of Area and Volume, and to use your understanding of Volume to calculate missing lengths.

You need: A Pen A Pencil A Ruler A Calculator

Pre-Learning Assessment Mark:

50Teacher Comment:

1) Calculate the area of a circle with a radius of 18 cm. Round your answer to 2 decimal places.

......................... cm2 (2)

2) James is working out the circumference of a circle with radius 4He writes:

Explain why James’ working is wrong.

………………………………………………………………………………………………………………………………...

………………………………………………………………………………………………………………………….. (1)

3) Find the area of this quarter circle. Round your answer to 3 significant figures.

......................... cm2 (2)4) A bike’s wheels have a diameter of 70 cm.

Circumference = π × 4

a) What is the circumference of one wheel? Round your answer to 2 decimal places.

......................... cm (1)

b) How many full rotations will the wheel make during a 500 m race?

............................... (2)

5) The circumference of a circular plate is 94.2 cm. Find the radius of the plate. Round your answer to 3 significant figures.

......................... cm (3)

6) Calculate the area of the unshaded part of the square. Round your answer to 2 decimal places.

Not drawn accurately

............................... (3)7) Calculate the area of this shape. Round your answer to 3 significant figures.

......................... cm2 (4)

8) Sketch and label the nets of these prisms:a)

(3)b)

Not drawn accurately

(2)

9) a) Circle the 3D shapes which share the same plan view.

A B C D (2)

b) Draw the side elevation of shape D

(2)10)

a) Put a circle around each of the images below that are nets of cubes.

(2)b) On an ordinary die all of the numbers on opposite faces add up to seven. Write the letter

of the net that would make an ordinary die.

……………………… (1)

11) This cuboid is made from 12 small cubes.

a) Write how many small cubes there are in this cuboid.

Number of cubes: …………........... (2)b) This shape is made with two cuboids.

Write how many small cubes there are in this shape.

Number of cubes: .......... (2)

12) This is a prism.

(a) The cross section is a trapezium. Calculate the area of the cross section. Show your working.

............................... cm² (2)

(b) Calculate the volume of the prism.

Show your working.

............................... cm3 (1)(c) Give the volume of the prism in mm3 .

............................... mm3 (1)

13) (a) The height of a cuboid is 4cm.

Not drawn accurately

The volume of the cuboid is 60 cm3.What is the area of the shaded face?

................ cm2 (2)(b) The volume of another cuboid is 72 cm3

None of its dimensions is 3 cm. What could the dimensions of this cuboid be?

................ cm by ................ cm by ................ cm (1) (c) A prism has a cross-section that is a right-angled triangle.

Its volume is 60cm3

Not drawn accurately What could the dimensions of this prism be?

................ cm by ................ cm by ................ cm (2)

14) Calculate the volume of this triangular prism

Not drawn accurately

........................ cm3 (2)

15) The diagram shows a cylindrical water tank.

The cross-section of the tank is a circle of radius 3 m.The depth of water in the tank is 0.5 metres.

Not drawn accurately

a) Calculate the volume of water in the tank. Round your answer to 3 decimal places.

Answer .............................................. m3 (2)

b) Use your answer to a) to calculate the volume of water in the tank to the nearest litre.

Answer .............................................. litres (1)

16) If a cube has a volume of 64 cm3, what is the perimeter of one face of the cube?

........................ cm (2)

Finishing task

Explain why this regular hexagon has perimeter 6a units.

Imagine joining a second identical hexagon to the first so that they are joined fully along one side. There is only one option:

What is the perimeter of this shape?

How many ways are there of joining up three hexagons? Find the perimeter of each one.

Explore larger patterns – suppose you had 5 or 6 hexagons, what would be the smallest and largest perimeters possible?

What is the perimeter of this shape?

Millie adds another hexagon to the pattern. What is the perimeter?

Can you explain why this is?

a