Name:
Lower Secondary Mathematics Year 9
SUMMATIVE TEST TERM 3
Topic
: Sequences, Functions, and Graphs
Instructions
: Solve the problems below.
1. Find the rules and the next two numbers in the pattern:
a. 13, 17, 21, 25, ……, …….
Rule: ………………………
b. -95, -75, -55, -15, ……, ……
Rule: ………………………
c. 0.125, 0.25, 0.5, 1, ……, ……
Rule: ………………………
2. A pattern is described in the following way:
To get the next term, double the previous term then add 3.
a. If the 1st term is 5, what will be the 3rd term?
b. If the 6th term is 20, what will be the 7th term?
c. If the 5th term is 9, what will be the 8th term?
3. Find the nth term of the arithmetic sequence:
a. 5, 14, 23, 32, ……
b.
2
2
2
2
, 1 3, 2 3 , 3 3, ……
3
c. -9, -13, -17, -21, ……
4. The formula of geometric sequence is an=a1 × rn-1, where a1 is the first term, and r is the common
ratio. Find the 6th term in the geometric sequence 3, 12, 48, ......
5. Complete the table below with the output with the function: y = 2x2 – 5x
x
2
4
6
8
10
y
6. Find the value of each function from the problems below.
a. Renting a canoe is cost $10 plus $28 per day, which is expressed as f(x) = 28x + 10.
Find f(3).
b. Bowling costs $7.50 per game, plus $10 for shoe rental. This is expressed as f(x) = 7.5x + 10.
Find f(5).
c. The math club goes to an amusement park. Student tickets cost $10 each. Teachers go for
free. The bus costs $28. This is expressed as f(x) = 10x + 28.
Find f(4).
7. Complete the function table and draw the linear graph.
a. y = x + 2
x
y
x
0
1
b. y = 2x - 3
1
2
x
2
3
y
x
0
1
y
1
2
2
3
y
x
x
8. Find the terminologies of these definitions.
Definition
A diagram representing data or relationship(s) between
variables.
A relation between sets of input and output where each
input is related to one and only one output.
This is the set of all possible outputs of a function. It's
generally the possible y-values.
Terminology
9. A bus is making a 90 km journey back to Swansea. For the first hour and a half it travels at a constant speed
of 40 km/h. One of its tyres gets a puncture so they have to stop for an hour. After repairing the puncture,
the bus continues on its journey at a reduced speed of 20 km/h. Draw a travel graph to represent this
journey.
10. A cyclist leaves home at 19:00 and cycles at a constant speed for 10 miles, reaching his destination
at 20:15. He stays there for half an hour and returns home cycling at a constant speed at 21:30.
Draw a travel graph to represent this journey.