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Post-Learning Assessment
Year 8 Module 3: GeometryName: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
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
Post-Learning Assessment Mark:
50Teacher Comment:
You need: A Pen A Pencil A Ruler A Protractor A Compass
You DO NOT need: A Calculator
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.
Not drawn accurately
How can you tell that Tamzin has made a mistake?
………………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………
(1)
40o 65o
55o
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
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)
A
8 cm
6 cm
8) Look at the right-angled triangle below.
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.
Not drawn accurately
x = ............................°
y = ............................°
(2)
134o
xy
Not drawn accurately
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.
a) Find the size of the angle marked x Show your working
....................° (3)
Not drawn accurately
b) Now the rectangle just touches the equilateral triangle so that ABC is a straight line.
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)
Not drawn accurately
(b) What is the area of this shaded trapezium?
.................. cm2 (1)
13) What is the area of this parallelogram? Give your answer in cm2.
............................... cm2 (3)
7m
4m5m
Not drawn accurately
14) The diagram shows four identical white rectangles around a shaded square.
What is the area of the shaded square?
............................... (3)
15) What is the area of this shape?Show your working.
............................ cm2 (4)
Not drawn accurately
Not drawn accurately
16) Emile is working out how many trays of cakes he can fit into the oven. Each tray measures 20cm by 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)
1.2m
0.9m
30cm
30cm
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?
