Section A Coordinate Geometry Grade G / F

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Molly Haynes
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1 Name: Teacher Assessment Section A Coordinate Geometr Grade G / F. (a) On the grid plot the points with coordinates (, ), (, ) and (, ). x () (b) Join the points and give the mathematical name of the shape.. The parallelogram ABCD is drawn on a centimetre square grid. Answer... (Total marks) A B O x D C The coordinates of A are (, ). Write down the coordinates of B, C and D. Answer B (...,...) C (...,...) D (...,...) () (Total marks) St Paul s Catholic School

2 . Triangle ABC is drawn on a grid. A O x C Write down the coordinates of A, B and C. B Answer A (,.) B (,.) C (,.) (Total marks). Points A, B and C are three corners of a square ABCD. 7 C Success: B Target: A 7 x (a) Write down the coordinates of A, B and C. A (...,...) B (...,...) C (...,...) () (b) The point D (, ) is the fourth corner of the square. Mark, with X, the position of the point D on the grid. (Total marks) St Paul s Catholic School

3 Teacher Assessment Section B Straight Line Grade E C. A line AB is shown on the grid. 7 A P B x (a) Mark the mid-point of AB. Label it M. (b) Write down the coordinates of M. Answer (...,...) (c) Draw a line through the point P, parallel to the line AB.. The diagram shows the points P (, ) and Q (, ). (Total marks) Q Find the coordinates of the mid-point of the line segment PQ O P x Answer (...,... ) (Total marks) St Paul s Catholic School

4 . (a) On the grid below, draw the graph of = x for values of x from to +... () O x 7 (b) The line = crosses = x at P. Write down the coordinates of P.. On the grid below, draw the graph of = 7 x for values of x from to Answer (...,... ) (Total marks) x 7 (Total marks) St Paul s Catholic School

5 . The line = crosses the line = x at the point P. What are the coordinates of P? You ma use the grid below if ou wish O x Answer (...,...) (Total marks) St Paul s Catholic School

6 . On the grid below draw the graph of = x for values of x from to x (Total marks) St Paul s Catholic School

7 7. (a) On the grid draw the graph = x + for values of x from to x () (b) Solve x + = 7. Answer x =... ()(Total marks) Success: Target: St Paul s Catholic School 7

8 Teacher Assessment Section C Real Life Grade F C. This is a conversion graph for gallons and litres. Litres 7 8 Gallons (a) Use the graph to convert (i) gallons to litres, Answer... litres (ii) litres to gallons. Answer... gallons () (b) gallons is approximatel litres. Explain how ou can use the graph to show this (Total marks) St Paul s Catholic School 8

9 . On a gas oven F = Gas Mark and F = Gas Mark 8 (a) Plot these values on the grid Gas Mark Temperature F () (b) (c) Join our points with a straight line. Using our conversion graph, or otherwise, work out the Gas Mark for a temperature of 7 F... Answer Gas mark... () (Total marks) St Paul s Catholic School 9

10 . A speed limit in France is kilometres per hour. The speedometer shows the speed of a lorr. 8 8 km/h (a) How much slower than the speed limit is the lorr travelling? Answer... km/h () (b) (i) Use the graph to convert kilometres per hour into miles per hour. miles per hour kilometres per hour Answer... miles per hour (ii) Convert 9 kilometres per hour into miles per hour Answer... miles per hour () (Total marks) St Paul s Catholic School

11 . (a) Liquid is poured at a stead rate into the bottle shown in the diagram. As the bottle is filled, the height, h, of the liquid in the bottle changes. Which of the five graphs below shows this change? Give a reason for our choice. Graph A Graph B h h Graph C Graph D h h Graph E h Graph.. Reason () St Paul s Catholic School

12 (b) Liquid is poured at a stead rate into another container. The graph shows how the height, h, of the liquid in this container changes. Sketch a picture of this container. h (Total marks). The graph shows a train journe from A to D, stopping at B and C. D C Distance (km) B A (a) What is the time when the train leaves B? Answer... (b) How far is it from A to C? Answer... km (c) During which part of the journe did the train travel the fastest? Explain our answer. Answer... Explanation.... () (Total marks) St Paul s Catholic School

13 . The graph illustrates a metre race between Nina and Poll. Distance (metre) Nina Poll 8 8 (seconds) (a) Who was in the lead seconds after the start of the race? Answer... (b) Describe what happened seconds after the start of the race. (c) Describe what happened to Nina 9 seconds after the start of the race. (d) Who won the race? Answer... (Total marks) St Paul s Catholic School

14 7. The graph shows Adil s biccle journe. Distance from start (km) (hours) (a) How man times does Adil stop on his journe? Answer (b) How man times is Adil exactl km from the start of his journe? Answer (c) What is the total distance that Adil travels on his journe? Answer.. km (d) Calculate Adil s average speed during the first minutes of his journe. Give our answer in kilometres per hour. Answer km/h () (Total marks) St Paul s Catholic School

15 8. The distance-time graph shows the journe of a train between two stations. The stations are kilometres apart. Distance (kilometres) (minutes) (a) During the journe the train stopped at a signal. For how long was the train stopped? Answer... minutes (b) What was the average speed of the train for the whole journe? Give our answer in kilometres per hour Answer... kilometres per hour () (Total marks) St Paul s Catholic School

9. The graphs show two parts of a train journe. Describe in words what is happening in each part. (a) Speed (b) Speed..................() (Total marks). A rectangular tank contains water.

16 9. The graphs show two parts of a train journe. Describe in words what is happening in each part. (a) Speed (b) Speed () (Total marks). A rectangular tank contains water. The height of the water is 8 cm. The length of the diagonal of the surface of the water is cm. Water is leaking from the tank at a stead rate. The tank is empt after minutes. (a) Sketch the graph of the length of the diagonal against the time. ( mark) (b) Sketch the graph of the height against the time. ( marks) (Total marks) Success: Target: St Paul s Catholic School

Section A Plotting Straight Line Graphs Grade D / C

Name: Teacher Assessment Section A Plotting Straight Line Grade D / C. The diagram shows the points P (0, 4) and Q (5, 2). Q O Find the coordinates of the mid-point of the line segment PQ. P Answer (...,...