Pre-Learning
Assessment
Year 9 Module 1: Coordinate, Linear Graphs, Proportion
and Standard Form
Name: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
You need:
 A Pen
 A Pencil
 A Ruler
What are we learning this half term?
Unit 1: Coordinates

In this unit you will work with coordinates in all four quadrants. You will learn to apply your knowledge of 2Dshapes to coordinate problems and how to find mid-point and end-points of lines joining two points.
Unit 2: Linear Graphs

This unit will introduce you to graphical representations of algebraic equations. You will discuss the main
properties of straight line graphs, including recognising parallel and perpendicular lines, and you will consider
real-life applications for your knowledge
Unit 3: Direct and Inverse Proportion

In this unit you will learn to recognise direct and inverse proportion…
Unit 4: Standard Form and Calculating with Scale

In the final unit you will learn to represent numbers using Standard Form….
Pre-Learning Assessment Mark:
50
Teacher Comment:
Unit 1
1.
P
Q
a) Write down the coordinates of the point P.
……………………………. (1)
b) Write down the coordinates of the point Q.
……………………………. (1)
c) On the grid, plot the point (4, -1). Label this point A.
(1)
d) On the grid, plot the point (-3, 0). Label this point B.
(1)
2. Plot points A(3, 4) and B(3, -2) on the grid below.
…………………………….. (2)
A and B are two vertices of an isosceles triangle. Write down the coordinates of a point C that
could be the 3rd vertex.
Point C ……………………. (2)
3.
a) C has coordinates (1, 4) and D has coordinates (3, 0). Find the coordinates of the midpoint
of the line segment CD.
………………………………. (2)
b) R has coordinates (3, -2) and S has coordinates (5, 3). Find the coordinates of the midpoint
of the line segment RS.
………………….………….. (2)
4. The points below are the opposite vertices of a square. Plot the position of the other two
vertices and complete the square.
(2)
Unit 2
5.
Find the gradient of the line segment below
……………………… (1)
6.
On the grid below, draw the graph of y = 2x - 1 from x = -1 to x = 5.
You may find it helpful to fill in the table below first.
X
Y
-1
0
1
2
3
4
5
(2)
7.
Lines A and B are shown on the axes below.
Find an equation of each line.
Line A
Line A ………………………… (2)
Line B
Line B ………………………… (2)
8.
Line L has equation y = 3x + 7
y = 2x + 7
y = 3 + 7x
y = 0.3x + 6
y = 3x + 6
1
y = 3x – 9
y = 4 – 7x
y = -3x + 8
y = − 3x + 4
1
From the list above, write down the equation of the line that is
a) Parallel to line L?
………………………………..… (1)
b) Perpendicular to line L?
……………………………….…. (1)
9.
Courier company A charges £3 per mile. This has been shown graphically on the grid below.
Company B charges £2 per mile plus a flat fee of £5.
a) On the axes below draw a graph to represent company B’s charges.
Cost in £
(2)
b) Use your graph to determine when it would be cheaper to use company B.
…………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………. (1)
10. The graph below can be used to convert from US Dollars ($) to British Pounds (£).
British Pounds £
Number of miles
US Dollars $
a) Convert £5 to Dollars.
………………………….. (1)
b) Tom buys a sweater for $75. The same sweater sells in the UK for £45. In which
country is the sweater cheaper? You must explain your answer.
…………………………………………………………………………………………………………………………………….
………………………………………………………………………………………………………………………………. (2)
Unit 3
11.
The recipe below makes enough brownies for 8 people.
a) Carly wants to make brownies for 16 people. How much flour will she need?
………………………………………………………………………………………………………. (1)
b) John wants to make brownies for 6 people. How much sugar will he need?
………………………………………………………………………………………………………. (2)
12.
At the supermarket, a box of 6 eggs cost £1.32 and 10 eggs cost £2.28. Which is better value
for money?
………………………………………………………………………………………………………. (2)
13.
6 candles cost £2.70. How much would 10 candles cost?
………………………………………………………………………………………………………. (2)
14.
Raxa travels to her grandmother’s house. When she drives at 40 kilometres per hour, it takes
her 2 hours. How long would it take if she drove at 80 kilometres per hour?
………………………………………………………………………………………………………. (1)
Unit 4
15.
Write these numbers in standard form:
a) 230 000
……………………………………. (1)
b) 0.000 02
……………………………………. (1)
16.
Write these numbers in order of size starting with the smallest:
2.3 x 1012
2.31 x 1011
2 x 1011
2 x 10-3 2x1010
………………..…, ....……………, …….……………, ….………………, ………………….., (2)
17.
Lin makes a scale drawing of her bedroom using the scale 1 : 50.
BED
RUG
a) What is the actual length of Lin’s bed?
……………………….. (1)
b) What is the actual area of the rug?
……………………….. (2)
c) Lin buys a desk which measures 1m by 1.5m. Add the desk to the plan of her bedroom.
You may add this to any position in the room.
(2)
18. The scale of a map is 1:200 000.
a) A road on the map measures 3cm long. What is the actual length of the road? Give
your answer in kilometres.
……………………………….. (2)
b) The distance between Ali’s home and his school is 5km. How far would this be on the
map? Give your answer in centimetres.
……………………………….. (2)
Finishing Task
Katie draws a rectangle so that one of the vertices is at the point (2, 1). Her rectangle has area 12
square units.
How many rectangles can you come up with that fit Katie’s description? For each rectangle, write
down the coordinates of the other three vertices.
You may use the axes below to help.