Post-LearningAssessment

Year 8 Module 5: 3-D geometry

Name: ………………………………………………………………….

Class: ……………………………………………………………………

Teacher: ……………………………………………………………….

What have we learnt this half term?

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

done within the context of the following Units.

Unit 10: Circumference and Area of a Circle This Unit introduced you to the value of pi; the ratio of a circle’s circumference to its diameter. You used 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 investigated the properties of 3D shapes. You learned to identify and create nets of 3D shapes, and

build them using blocks.

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

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

Pre-Learning Assessment Mark:

50

Post-Learning Assessment Mark:

50Teacher Comment:

1) Find the area of a circle with a radius of 8 m. Round your answer to 2 decimal places.

You need: A Pen A Pencil A Ruler A Calculator

......................... m2 (2)

2) James is working out the area 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 65 cm.

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

Area = π × 4 x 2

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

b) How many times will the wheel revolve during a 500 m race?

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

5) The circumference of a circular window is 152.9 cm.Find the radius of the window. 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.

Not drawn accurately

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

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

(3)b)

(2)

9) a) Circle the 3D shapes which share the same side elevations.

A B C D (2)

b) Draw the plan view of shape A

(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 three 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)(b) Give the volume of the prism in mm3 .

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

13) (a) The height of a cuboid is 6cm.

Not drawn accurately

The volume of the cuboid is 54 cm3.What is area of the shaded face?

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

(b) The volume of another cuboid is 60 cm3

None of its dimensions is 4 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 48cm3

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 tin of soup.

The cross-section of the tin is a circle of diameter 12 cm.The depth of soup in the tin is 15 cm.

Not drawn accurately

a) Calculate the volume of soup in the tin. Round your answer to 2 decimal places.

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

b) Use your answer to a) to give the volume of soup in the tin in litres. Round your answer to 2 decimal places.

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

16) If a cube has a volume of 125 cm3, what is the perimeter of one face of the cube?

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

Finishing task

The diagram shows a cylindrical tin with a paper label around it.The tin has radius 5cm and height 14cm.

The label is 11cm wide.

Monty and Cheyenne are answering some questions about the tin.Below are their calculations and answers to the questions, but they’ve lost the question sheet. Can you work out what questions they have answered?

1. π×10=31.4 cm

2. π×52×14=1099.6 cm3

3. π×52=49.3 cm2

4. π×10×11=345.6cm2

14 cm 11 cm

5 cm

5. π×10×14+2×π ×52=569.9cm2