Unit 3 Maths Test Paper 2
Ma
KEY STAGE
Mathematics test
3
TIER
Paper 2
Calculator allowed
Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school in the spaces below.
6–8 2003
First name Last name School
Remember
■
The test is 1 hour long. You may use a calculator for any question in this test. You will need: pen, pencil, rubber, ruler 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 …show more content…
A book gives this information:
A baby giraffe was born that was 1.58 metres high. It grew at a rate of 1.3 centimetres every hour.
Suppose the baby giraffe continued to grow at this rate. About how many days old would it be when it was 6 metres high? Show your working.
days old
3 marks
KS3/03/Ma/Tier 6–8/P2
12
Long-eared owls
9.
Owls eat small mammals. They regurgitate the bones and fur in balls called pellets. The table shows the contents of 62 pellets from long-eared owls. Number of mammals found in the pellet Frequency
1 9
2 17
3 24
4 6
5 5
6 1
(a) Show that the total number of mammals found is 170
1 mark
(b) Calculate the mean number of mammals found in each pellet. Show your working and give your answer correct to 1 decimal place.
2 marks
(c) There are about 10 000 long-eared owls in Britain. On average, a long-eared owl regurgitates 1.4 pellets per day. Altogether, how many mammals do the 10 000 long-eared owls eat in one day? Show your working and give your answer to the nearest thousand.
2 marks
KS3/03/Ma/Tier 6–8/P2
13 …show more content…
How much would a cup of coffee cost? Show your working.
£
2 marks
KS3/03/Ma/Tier 6–8/P2
17
Cissoid of Diocles
12.
The equation of the curve shown is
When x = 2.5 calculate the positive value of y Show all the digits on your calculator display.
1 mark
When x = 2.5 give both values of y correct to 3 significant figures.
and
2 marks
KS3/03/Ma/Tier 6–8/P2
18
Populations
13.
The table shows information about some countries. Area (km2) 1.0 t 10 7 5.5 t 10 5 1.1 t 10 4 3.3 t 106 2.4 t 105 9.3 t 106
Country Canada France Gambia India United Kingdom United States
Population 3.1 t 107 6.0 t 107 1.4 t 106 1.0 t 109 6.0 t 107 2.8 t 10 8
(a) Use the table to fill in the gaps:
The country with the largest population is
1 mark
The country with the smallest area is
1 mark
(b) On average, how many more people per km2 are there in the United Kingdom than in the United States? Show your working.
3 marks
KS3/03/Ma/Tier 6–8/P2
19
Joining
14.
Two right-angled triangles are joined together to make a larger triangle ACD.
Not drawn accurately
(a) Show that the perimeter of triangle ACD is 78cm.
2
KEY STAGE
Mathematics test
3
TIER
Paper 2
Calculator allowed
Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school in the spaces below.
6–8 2003
First name Last name School
Remember
■
The test is 1 hour long. You may use a calculator for any question in this test. You will need: pen, pencil, rubber, ruler 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 …show more content…
A book gives this information:
A baby giraffe was born that was 1.58 metres high. It grew at a rate of 1.3 centimetres every hour.
Suppose the baby giraffe continued to grow at this rate. About how many days old would it be when it was 6 metres high? Show your working.
days old
3 marks
KS3/03/Ma/Tier 6–8/P2
12
Long-eared owls
9.
Owls eat small mammals. They regurgitate the bones and fur in balls called pellets. The table shows the contents of 62 pellets from long-eared owls. Number of mammals found in the pellet Frequency
1 9
2 17
3 24
4 6
5 5
6 1
(a) Show that the total number of mammals found is 170
1 mark
(b) Calculate the mean number of mammals found in each pellet. Show your working and give your answer correct to 1 decimal place.
2 marks
(c) There are about 10 000 long-eared owls in Britain. On average, a long-eared owl regurgitates 1.4 pellets per day. Altogether, how many mammals do the 10 000 long-eared owls eat in one day? Show your working and give your answer to the nearest thousand.
2 marks
KS3/03/Ma/Tier 6–8/P2
13 …show more content…
How much would a cup of coffee cost? Show your working.
£
2 marks
KS3/03/Ma/Tier 6–8/P2
17
Cissoid of Diocles
12.
The equation of the curve shown is
When x = 2.5 calculate the positive value of y Show all the digits on your calculator display.
1 mark
When x = 2.5 give both values of y correct to 3 significant figures.
and
2 marks
KS3/03/Ma/Tier 6–8/P2
18
Populations
13.
The table shows information about some countries. Area (km2) 1.0 t 10 7 5.5 t 10 5 1.1 t 10 4 3.3 t 106 2.4 t 105 9.3 t 106
Country Canada France Gambia India United Kingdom United States
Population 3.1 t 107 6.0 t 107 1.4 t 106 1.0 t 109 6.0 t 107 2.8 t 10 8
(a) Use the table to fill in the gaps:
The country with the largest population is
1 mark
The country with the smallest area is
1 mark
(b) On average, how many more people per km2 are there in the United Kingdom than in the United States? Show your working.
3 marks
KS3/03/Ma/Tier 6–8/P2
19
Joining
14.
Two right-angled triangles are joined together to make a larger triangle ACD.
Not drawn accurately
(a) Show that the perimeter of triangle ACD is 78cm.
2