## Coordinates, Sequences and Graphs Exercise

1. Find the next two numbers in each of the following sequences:

a. 2, 4, 6, 8, ...
b. 3, 5, 7, 9, ...
c. 0, 5, 10, 15, ...
d. 15, 13, 11, 9, ...
e. 4, 12, 36, 108, ...

2. Find the next two shapes in each of the following patterns:

a. b. c. 3. Find the missing number in each of the following sequences:

a. 2, ?, 4, 5, ...
b.1, 3, ?, 7, ...
c. 4, 7, 11, ?, ...
d. 2, ?, 8, 16, ...
e. 1, ?, 9, 16, ...

4. The diagram shows a sequence of squares: a. Draw the next two shapes.

b. Copy and complete the following table:

 Diagram Number 1 2 3 4 5 6 Number of squares 1 3 6

c. Sketch the graph of the sequence.

5. The diagram show a sequence of three sets of tiles. a. By sketching the next two sets of tiles, complete the sequence for the number of yellow tiles.

1, 4 , __ , __ , __

b. Give the sequence for the number of pink tiles in five sets of tiles.
c. Sketch a graph showing the two sequences.

6. Give the coordinates of the points marked by letters. A = ( _ , _ ) B = ( _ , _ ) C = ( _ , _ ) D = ( _ , _ ) E = ( _ , _ ) F = ( _ , _ )

7. On a grid the same size as the one above, mark on it the following coordinates:

P =(4, 2)
Q = (-3, 1)
R =(1, -4)
S = (0, 5)
T = (-3, 0)
U = (-4, -4)

 8 The graph shows time taken by a family on an outing to the beach Use the graph to best answer the following questions: a. How long was the whole outing? b. The family had a rest on the way to the beach, how long did the break last? c. How long did the trip back from the beach last? d. How far was it from home to the beach?

 9 The graph shows the number of containers unloaded at a port in the year 2000. Use the graph to best answer the following questions: a. How many containers were unloaded in April and May? b. In which month was the greatest number of containers unloaded? c. Which month showed the biggest increase in the number of containers unloaded?

 10 Complete the ordered pairs from the graph shown. a. (5, _ ) b. (0, _ ) c. ( _ , 5) d. ( _ , 2) e. (5.5, _ ) f. (7, _ ) g. ( _ , 3.5) 