Download Pre-Learning - Mathematics Mastery

Post-Learning
Assessment
Year 8 Module 3: Geometry
This is independent work.
You must complete the paper in silence, without help from others.
Name: ………………………………………………………………….
Total Marks (out of 50):
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
You will need:
 Pen
 Pencil
 Ruler
 Protractor
 Calculator
 Compass
What have we learnt this half term?
During this half term, I have learnt to….
 Construct triangles and quadrilaterals using a protractor and ruler or compass and ruler
 Master angle rules involving parallel lines
 Use all of my knowledge about angle rules to find missing angles in more complex problems
 Find the area of a parallelogram and of a trapezium
 Use all of my knowledge about area and perimeter to find the area or perimeter of more complex shapes
 Convert between metric units of area
Q1) (a)
Tina measures the angles in a triangle. The sketch shows her results.
55o
40o
65o
Not drawn accurately
How can you tell that Tina has made a mistake?
…………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………
(1)
(b) 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)
Q2) In this question, all the grids are square grids.
(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)
Q3) Accurately construct a triangle with lengths 7cm, 8cm and 12cm. You should
leave in your construction lines.
(3)
Q4) By using construction show that a triangle with a base of 5 cm and two angles
of 45o must be a right angled triangle.
(3)
Q6) The diagram shows a sketch of a parallelogram, with a base of 8 cm and height of
6 cm.
Not drawn accurately
A
The size of angle A is 110o.
Use a ruler and protractor to make an accurate drawing of the parallelogram.
(3)
Q7) 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)
Q8)
Look at the right-angled triangle ABC.
Not drawn accurately
x
35o
z
y
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z
x = ............................°
y = ............................°
z = ............................°
(3)
Q9) 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)
Q10) In the next two diagrams the two parallel lines are marked with arrows.
(a) Work out the value of k
2ko
Not drawn accurately
4ko
y = ……..…….. (3)
(b) Work out the value of t.
(u + 25)o
124o
4uo
to
t = .................. (5)
Q11) The interior angles of a triangle are (8x + 3y)o, (5x + 20)o and (10y + 30)o, where x
and y are positive integers. Find the value of x + y.
(8x + 3y)o
(5x +20)o
(10y + 30)o
.......................°
(5)
Q12) All of the grids in this question are centimetre square grids.
(a) Show that the area of the triangle is half that of the rectangle.
...................(2)
(b)
What is the area of this shaded parallelogram?
.................. cm2 (1)
Q13) What is the area of this trapezium? Give your answer in cm2.
9m
5m
4m
............................... cm2 (3)
Q14)
(UKMT 2012)
............................... (3)
Q15) What is the area of this shape?
Show your working.
60mm
0.08m
............................ cm2 (4)
Q16) Emile is working out how many trays of cakes he can fit into the oven. Each
tray measures 20cm by 30cm.
1.2m
0.8m
30cm
20cm
a) How many trays can he fit in?
............................. (3)
`
(b) The following formula is used to calculate the amount of time needed to
cook the cakes.
Time = number of trays x 6 + 10
Can Emile cook his cakes in under 2 hours?
........................... (2)