Post-Learning
Assessment
Year 8Module3: Geometry
Name: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
What have we learntthis 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:
50
Teacher Comment:
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)
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
withone right angle.
(1)
(b)On the grid, draw a quadrilateral
withone 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 is110o.
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.
Work out the sizes of angles x, yand z
x = ...... °
y = ...... °
z = ...... °
(3)
9)This diagram shows a line intersecting two parallel lines. Find the missing angles xand 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 rectanglethat just touches an equilateral triangle.
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.
Show that triangle BDE is isosceles
(2)
12)Allof thesquares 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 incm2.
...... cm2 (3)
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)
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 inthe 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 have20cm of string and you are told to make a rectangle shaped enclosure. Investigate the different types of rectangleyou 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?