Post-Learning Assessment

Year 9 Module 1: Coordinate, Linear Graphs, Proportion and Standard Form

Name: ………………………………………………………………….

Class: ……………………………………………………………………

Teacher: ……………………………………………………………….

What are we learning this half term?

Unit 1

1.

P

Q

You need: A Pen A Pencil A Ruler

Pre-Learning Assessment Mark:

50Teacher Comment:

Post-Learning Assessment Mark:

50Teacher Comment:

Unit 1: Coordinates In this unit you will work with coordinates in all four quadrants. You will learn to apply your knowledge of 2D-

shapes 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….

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 (2, -2). Label this point A.(1)

d) On the grid, plot the point (-5, 0). Label this point B.(1)

2. Plot points A(4, 2) and B(4, -4) 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 (2, 3) and D has coordinates (4, 1). Find the coordinates of the midpoint

of the line segment CD.

………………………………. (2)

b) R has coordinates (4, -1) and S has coordinates (6, 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.

7. On the grid below, draw the graph of y = 2x - 2 from x = -1 to x = 5.You may find it helpful to fill in the table below first.

X -1 0 1 2 3 4 5Y

(2)

8. Lines A and B are shown on the axes below.Find an equation of each line.

Line A

Line A ………………………… (2)

Line B ………………………… (2)

9. Line L has equation y = 4x + 6

y = 2x + 6 y = 4 + 6x y = 4x – 8 y = 3 – 6x

y = 0.4x + 3 y = 14 x + 8 y = -4x + 9 y =

−14 x + 5

From the list above, write down the equation of the line that isa) Parallel to line L?

………………………………..… (1)b) Perpendicular to line L?

……………………………….…. (1)

10. Courier company A charges £2 per mile. This has been shown graphically on the grid below.Company B charges £1 per mile plus a flat fee of £4.

a) On the axes below draw a graph to represent company B’s charges.

Line B

(2)

b) Use your graph to determine when it would be cheaper to use company B.…………………………………………………………………………………………………………………………………………….

…………………………………………………………………………………………………………………………………………. (1)

Number of miles

Cost in £

11. The graph below can be used to convert from US Dollars ($) to British Pounds (£).

a) Convert £10 to Dollars.

………………………….. (1)

b) Tom buys a sweater for $60. The same sweater sells in the UK for £35. In which country is the sweater cheaper? You must explain your answer.

…………………………………………………………………………………………………………………………………….

………………………………………………………………………………………………………………………………. (2)

British Pounds £

US Dollars $

Unit 3

12. The recipe below makes enough cookies for 12 people.

a) Carly wants to make cookies for 24 people. How much flour will she need?

………………………………………………………………………………………………………. (1)

b) John wants to make cookies for 8 people. How much chocolate will he need?

………………………………………………………………………………………………………. (2)

13. At the supermarket, a box of 8 muffins cost £2.24 and 12 muffins cost £3.60. Which is better value for money?

………………………………………………………………………………………………………. (2)

14. 8 mangoes cost £7.12. How much would 10 mangoes cost?

………………………………………………………………………………………………………. (2)

15. Amrit travels to work by car. When he drives at 60 kilometres per hour, it takes her 2 hours. How long would it take if she drove at 120 kilometres per hour?

………………………………………………………………………………………………………. (1)

Choc Chip Cookies

- 250g flour- 200g butter- 250g sugar- 2 eggs- 300g

chocolate

Unit 4

16. Write these numbers in standard form:

a) 450 000……………………………………. (1)

b) 0.000 03……………………………………. (1)

17. Write these numbers in order of size starting with the smallest:

4.2 x 1011 4.21 x 1010 4 x 10104 x 109

………………..……….…, ……….……..……………, ………..…….……………, ………..….………………, (2)

18. Tilly makes a scale drawing of her office using the scale 1 : 50.

a) What is the actual length of Tilly’s desk?

……………………….. (1)

b) What is the actual area of the rug?

……………………….. (2)

c) Lin buys a filing cabinet which measures 1m by 0.5m. Add the cabinet to the plan of her bedroom. You may place this anywhere in the room.

(2)

RUG

Desk

19. The scale of a map is 1:200 000.

a) A road on the map measures 2cm long. What is the actual length of the road? Give your answer in kilometres.

……………………………….. (2)

b) The distance between Tommy’s home and his school is 3km. How far would this be on the map? Give your answer in centimetres.

……………………………….. (2)

Finishing Task

The point (3, 5) is a vertex of an isosceles triangle. The triangle has height 4 cm and an area of 4cm2.

How long must the base be?

Find as many triangles as possible that fit this description.

You may use the axes below to help you.