Year 9 mathematics test
[Pages:28]Ma
KEY STAGE
3
Tier
6?8
Year 9 mathematics test
Paper 1
Calculator not allowed
First name
Last name
Class
Date
Please read this page, but do not open your booklet until your teacher tells you to start. Write your name, the name of your class and the date in the spaces above.
Remember:
The test is 1 hour long. You must not use a calculator for any question in this test. You will need: pen, pencil, rubber and a ruler. Some formulae you might need are on page 2. This test starts with easier questions. Try to answer all the questions. Write all your answers and working on the test paper ? do not use any rough paper. Marks may be awarded for working. Check your work carefully. Ask your teacher if you are not sure what to do.
092009_p1.68.indd 1
For marking use only
Total marks
07/12/2009 12:46:19
Instructions
Answers This means write down your answer or show your working and write down your answer.
Calculators You must not use a calculator to answer any question in this test.
Formulae
You might need to use these formulae
Trapezium
Area
=
1 2
(
a
+
b)h
b height (h)
a
Prism
length
area of cross-section Volume = area of cross-section ? length
Y9/Ma/Tier 6?8/P1
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1.
Look at the equation.
14n = 98
(a) Work out the value of 140n
(b) Work out the value of 14( n + 1)
Equation
1 mark 1 mark
Y9/Ma/Tier 6?8/P1
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2. Look at the diagram.
130 ? A AB is a straight line.
Work out the size of angle k
Angle k, Terms
Not drawn
k
accurately
85 ? B
? k =
2 marks
3.
Look at the sequence below.
To get the next term in the sequence, subtract 90 from the term before.
500
410
320
...
Write the first two terms of the sequence that are less than zero.
Y9/Ma/Tier 6?8/P1
092009_p1.68.indd 4
,
2 marks 07/12/2009 12:46:20
4. (a) Look at this information.
Values
x 0
Give an example of what the value of x could be.
Give a different example of what the value of x could be.
(b) Now look at this information.
2y +3 11
What is the largest value that y could be?
Y9/Ma/Tier 6?8/P1
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1 mark
1 mark 07/12/2009 12:46:21
Eurovision Song Contest
5.
Each year a song contest is held in Europe. The country with the greatest number of points wins.
The scatter graphs show information about the contest in 2007.
24th
20th
16th
Position of
the country in the contest
12th
8th
4th
0
50
100
150
200
250
300
Number of points the country scored
24th
20th
16th
Position of
the country in the contest
12th
8th
4th
0
50
100
150
Population of the country (millions)
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Use the graphs to answer these questions. (a) About how many points did the winning country score?
1 mark
(b) How many countries scored fewer than 60 points?
1 mark
(c) What is the population of the country that scored 84 points?
million 1 mark
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6. The table shows information about a pentagonal prism.
Prisms
Pentagonal prism
Number of vertices
10
Number of rectangular faces
5
Total number of faces
7
Pentagonal prism
(a) Complete the table to show information about a triangular prism.
Triangular prism
Number of vertices Number of rectangular faces Total number of faces
1 mark
(b) Complete the table.
Number of vertices
Number of rectangular faces
Total number of faces
Y9/Ma/Tier 6?8/P1
prism 12 6 8
prism
10
3 marks
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