Download Pre-Learning - Mathematics Mastery

Post-Learning
Assessment
Year 8 Module 3: Geometry
Name: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
You need:
 A Pen
 A Pencil
 A Ruler
 A Protractor
 A Compass
You DO NOT need:
 A Calculator
What have we learnt this half term?
Unit 5: Constructing Triangles and Quadrilaterals

In this Unit you practised measuring, identifying, naming and drawing angles. You learned to define a variety of
triangles and quadrilaterals, and to construct them from a given set of properties.
Unit 6: Length and Area – Parallelograms and Trapezia

In this Unit you learned to convert between common units for area, and developed your understanding of area and
perimeter by investigating parallelograms and trapezia. You extended this further through worded problems and
composite shapes.
Pre-Learning Assessment Mark:
50
Teacher Comment:
Post-Learning Assessment Mark:
50
1) Write the mathematical name below each of these quadrilaterals.
(4)
2)
a) Tamzin measures the angles in a triangle. The sketch shows her results.
55o
40o
65o
Not drawn accurately
How can you tell that Tamzin has made a mistake?
………………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………
(1)
b) Using a ruler and protractor draw a triangle with one angle of 40° and one angle of
65°. Use the line below as one side of the triangle.
You must draw your triangle accurately.
_____________________________
(2)
3) The grids below are made up of squares.
(a)
On the grid, draw a triangle
with one right angle.
(1)
(b)
On the grid, draw a quadrilateral
with one pair of parallel sides.
(1)
4) Construct a triangle with lengths 7cm, 8cm and 12cm. Do not rub out your construction
lines.
(3)
5)
a) Construct a triangle with a base of 5 cm and two angles of 45o
b) What type of triangle have you drawn?
………………………………………… (3)
6)
The diagram shows a sketch of a parallelogram, with side lengths labelled.
Not drawn accurately
6 cm
A
8 cm
The size of angle A is 110o.
Use a ruler and protractor to make an accurate drawing of the parallelogram.
(3)
7) An isosceles triangle has one angle equal to 40°.
(a) Write one set of possible sizes of the angles in this triangle
.................°,
..................°,
..................° (1)
(b) Write another set of possible sizes of the angles in this triangle
..................°,
..................°,
..................° (1)
8) Look at the right-angled triangle below.
Not drawn accurately
Work out the sizes of angles x, y and z
x = ............................°
y = ............................°
z = ............................°
(3)
9) This diagram shows a line intersecting two parallel lines. Find the missing angles x and y.
134o
x
y
Not drawn accurately
x = ............................°
y = ............................°
(2)
10)
In this diagram the two parallel lines are marked with arrows. Work out the value of k
Not drawn accurately
k = ……..…….. (3)
11) The diagram shows a rectangle that just touches an equilateral triangle.
Not drawn accurately
a) Find the size of the angle marked x
Show your working
....................° (3)
b) Now the rectangle just touches the equilateral triangle so that ABC is a straight line.
Not drawn accurately
Show that triangle BDE is isosceles
(2)
12)
All of the squares in these grids are 1cm by 1cm
(a) By doing calculations, show that the area of the triangle is half that of the rectangle.
(2)
(b)
What is the area of this shaded trapezium?
.................. cm2 (1)
13)
What is the area of this parallelogram? Give your answer in cm2.
4m
5m
Not drawn accurately
7m
............................... cm2 (3)
14) The diagram shows four identical white rectangles around a shaded square.
Not drawn accurately
What is the area of the shaded square?
............................... (3)
15) What is the area of this shape?
Show your working.
Not drawn accurately
............................ cm2 (4)
16)
Emile is working out how many trays of cakes he can fit into the oven. Each tray
measures 20cm by 30cm.
1.2m
0.9m
30cm
30cm
a) How many trays can he fit in the oven leaving no gaps?
............................. (3)
b) The following formula is used to calculate the amount of time needed to cook the
cakes.
Time (in minutes) = number of trays x 9 + 10
Can Emile cook his cakes in less than 2 hours?
........................... (2)
Finishing Task
Imagine you have 20 cm of string and you are told to make a rectangle
shaped enclosure. Investigate the different types of rectangle you can
make with a perimeter of 20.
Can you find:
- The dimensions of the rectangle that gives the greatest area?
- A rectangle with an area less than its perimeter?
- A rectangle with an area equal to its perimeter?
Using your protractor and ruler accurately draw a kite and a parallelogram with a perimeter of 20
cm. Can you find their area? What happens to the area if you keep the side lengths the same but
change the angles?