Year 9 mathematics test - SATs papers
[Pages:28]Ma
KeY STAGe
3
Tier
4?6
Year 9 mathematics test
Paper 2
Calculator 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 may use a calculator for any question in this test. You will need: a pen, pencil, rubber, ruler, a pair of compasses and a scientific or graphic calculator. 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.
For marking use only
Total marks
Instructions
Answers This means write down your answer or show your working and write down your answer.
Calculators You may 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 4? 6/P2
2
1.
Sam has these digit cards.
4
9
7
Order matters
He is going to use each card once to make a 3-digit number. What 3-digit numbers greater than 750 can Sam make? Write them all.
2 marks
Y9/Ma/Tier 4? 6/P2
3
2.
Here are two shapes.
Pentagons or not
(a) Are both shapes pentagons?
Yes
No
Explain how you know.
1 mark
(b) Are both shapes regular?
Yes
No
Explain how you know.
1 mark
Y9/Ma/Tier 4? 6/P2
4
3.
There are two different ways of making 30p with
10p and 20p coins.
Total 30p
10p coins
20p coins
3
0
1
1
Multiple coins
Complete the table below to show all five ways of making 80p with 10p and 20p coins.
Total 80p
10p coins
20p coins
2 marks
Y9/Ma/Tier 4? 6/P2
5
4.
This diagram shows all the factors of 10
Factor
10
1
10
5
2
Draw a diagram to show all the factors of 12
12
2 marks
Y9/Ma/Tier 4? 6/P2
6
UK rivers
5.
A website gives this information about the five longest rivers in the UK.
Severn Thames
Trent Aire Great Ouse
Length (km) 354 346 297 259 230
(a) How many of these rivers are 300km to the nearest 100km?
(b) The longest river in the world is the Nile. Its length is 6695km. Write the missing number in the sentence below.
The length of the Nile is 7000km to the nearest
1 mark
km.
1 mark
Y9/Ma/Tier 4? 6/P2
7
6.
You are a travel agent.
You find these costs of flights for the Jones family.
Family flights
Ticket prices
(includes all taxes, fees and charges)
Adult: ?240
Children aged 1 to 12: 50% of the adult price
Children under 1: 10% of the adult price
1 or 2 suitcases per person: no charge
Ticket prices
(includes all taxes, fees and charges)
Adults and children over 1: ?185
Children under the age of 1: ?20
Each suitcase: ?8
Mr Jones is 41 years old and so is Mrs Jones. Kali Jones is 8 years old, Xena Jones is 4 years old and Roxy Jones is 6 months old. In total, the family want to take 3 suitcases with them.
Which airline do you recommend and why?
Y9/Ma/Tier 4? 6/P2
8
3 marks
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