Pangea Mathematics-Competition
Questionnaire
Prelim 2014
Year 5
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Rules and Instructions
Answer sheet
Please fill in first name, surname, class and teacher-ID (will be given to you by your
teacher) legibly into the designated fields.
Detach the lower part of the answer sheet. You will find your user data on it with which
you will be able to access your result online.
You may use any kind of pen or pencil. Please make sure you tick your answer accurately.
(We advise you to use a pencil to be able to carry out corrections).
Examination
·· You have 60 minutes to answer the 25 questions.
·· Accuracy and speed are important.
·· Hence you should try not to deal too long with a single question, skip it and try to
answer it in the end if you have time left.
·· Only one single answer is correct. If several answers are checked that assignment
will be counted as wrong. For each incorrect answer a fourth of the gainable score
will be deducted. So it is better not to answer at all than to check a wrong answer.
Therefore don’t guess, calculate!
·· The answer sheet must not be folded or crinkled. Notes or comments outside of
the given fields are not allowed.
·· There are no aides of any kind (calculator, formulary etc.) allowed.
Assessment
·· There are five difficulty levels: The gainable score is given for each question.
·· The assessment will be carried out within a short period of time and can be
accessed on http://anmeldung.pangea-wettbewerb.de (Schüler-Login) using
your user data (ID-number and password).
We wish you much success and we hope you will keep on enjoying maths.
Find the sum of: 1 + 11 + 50 + 39 + 49 =|
|
1 point
1
a) 140
2
Find the sum of: 100000 – 123 =|
|
c) 120
d) 150
1 point
b) 100
a) 9987
3
How many Euro are in 17344 cent?
d) 99877
a) 1.7344 €
4
How many decimetres are in 3 kilometres?
a) 30 dm
5
A cuboid has 6 faces and 8 corners.
How many edges does it have?
2 points
1 point
c) 99777
1 point
b) 9877
e) 180
a) 10
b) 17.344 €
b) 300 dm
b) 12
c) 14
c) 173.44 €
c) 3000 dm
d) 16
4
e) 99987
d) 1734.4 €
d) 30000 dm
e) 24
e) 0.17344 €
e) 300000 dm
Year 5
Pangea Mathematics-Competition 2014
Ina is 1,38 m tall. She has grown 91 cm since her birth.
How tall was Ina when she was born.
a) 37 cm
b) 47 cm
c) 49 cm
d) 57 cm
e) 59 cm
Find the sum of: 615 · 8 = |
|
a) 5940
8
Recognize pattern: Which number does not fit into the sequence?
2 points
7
2 points
2 points
6
•
3 points
9
3 points
10
36600
a) 18600
b) 5840
33600
c) 4200
30600
b) 21600
27600
c) 22600
d) 4920
22600
e) 1480
21600
d) 27600
18600
e) 36600
Place the digits in the boxes to produce the highest total:
|
||
|∙|
||
|
a) 37 · 46
b) 74 · 63
c) 76 · 43
d) 73 · 64
e) 34 · 76
There are 84 children in the cinema. There are three times more boys than girls.
How many girls are there?
a) 63
b) 45
c) 30
d) 21
5
e) 15
3 points
11
3 points
12
3 points
13
The numbers on opposite sides of a die always add
up to 7. The picture shows three dice and on each
die you see three numbers.
Add all the numbers that you cannot see.
a) 32
b) 33
c) 34
d) 35
e) 36
A banana tells us:
I have travelled form the plantation to the port for 23km.
I sailed by ship to form the port to Hamburg for 2113km.
I travelled from Hamburg to the wholesaler in Berlin for 194km.
I travelled from the wholesaler to the supermarket for 11km.
From the supermarket to your house for 4km.
And then you eat me...
How far has the banana travelled?
a) 2285 km
b) 2435 km
c) 2335 km
d) 2344 km
Recognize pattern: Which number fits?
35
a) 77
52
69
b) 86
|
|
c) 93
103
d) 76
6
e) 96
e) 2345 km
Year 5
3 points
14
4 points
15
4 points
16
4 points
17
•
Pangea Mathematics-Competition 2014
Six students go to the zoo. The journey and the entrance fee for them all
is 108 €. The travel costs were the same as the entrance fees.
How much did each student pay to enter the zoo?
a) 9 €
b) 18 €
c) 3 €
d) 6 €
e) 24 €
A taxi travels 440km everyday on weekdays.
At the weekend his daily travel is 550 km.
How many kilometres does the taxi travel each week?
a) 1980 km
b) 2790 km
c) 3000 km
d) 3300 km
The object on the right is made out of 9 small cubes.
It needs to be made into a big cube.
How many small cubes are needed to complete
the large cube?
a) 17
b) 15
c) 18
d) 20
e) 12
Recognize pattern: What is the next number?
5
10
a) 3000
30
120
b) 1800
600
|
|
|
c) 2400
7
d) 3600
e) 4200
e) 3990 km
4 points
18
19
The ceiling of this room needs painting.
One bucket of paint holds 8 kg and costs 45 €.
1 kg of paint is enough for 4 m².
How much will it cost to buy the
paint for the whole ceiling?
a) 60 €
b) 90 €
c) 120 €
8m
12 m
8m
5m
d) 180 €
e) 210 €
Recognize pattern: How many squares will be used in image 4?
4 points
?
4 points
20
1
5
9
(Image 1)
(Image 2)
(Image 3)
a) 12
b) 13
c) 14
d) 15
(Image 4)
e) 17
The distance from Berlin to Paris is 1051 km.
A bus travels from Berlin to Paris in one day and
then returns the next day.
How many kilometres does the bus travel in 20 days?
a) 10510 km
b) 2120 km
c) 21020 km
8
d) 15100 km
e) 20120 km
Year 5
5 points
21
5 points
22
5 points
23
•
Pangea Mathematics-Competition 2014
Puzzle: My number has five digits.
The sum of the first and the second digit is 17.
The sum of the second and third digit is 15.
The sum of the third and fourth digit is also 15.
The sum of the fourth and fifth digit is 9.
The sum of the first and fifth digit is 8.
What is the sum of all five digits.
a) 64
b) 27
c) 54
d) 32
e) 37
Recognize pattern: Which number fits?
2
5
a) 41
14
|
|
|
b) 39
122
c) 37
d) 35
e) 33
Puzzle: In three boxes there are 90 balls.
I take three balls out of the first box and put them in the second box.
Then I take out of the second box one ball and put it in the third box.
Now all of the boxes have an equal number of balls.
How many balls were in the second box at the beginning?
a) 30
b) 31
c) 33
d) 29
9
e) 28
5 points
24
25
There are 10 players taking part in a tennis tournament.
In each round as many pairs play as possible. If there is a round where a
player has no opponent he advances to the next round without having
to play. The winner always advances to the next round while the loser
leaves the tournament.
How many games are played in total throughout the tournament?
a) 5
b) 6
c) 7
d) 8
e) 9
There are 18 fish in an aquarium. There are three different types of fish;
Guppys, Skarlare and Neonfish.
5 points
∙ Every second fish is a guppy.
∙ There are twice as many Neonfish as there are Skalare.
How many Neonfish are there in the aquarium?
a) 2
b) 3
c) 4
d) 5
e) 6
10
Acknowledgment
Für das große Engagement und die nachhaltige Unterstützung bei der Erstellung und
Korrektur der Wettbewerbsfragen bedanken wir uns herzlich bei:
Mrs Prof Dr Karin Richter – University of Halle-Wittenberg – Saxony,
Mr Prof Dr Wilfried Herget - Professor in pension,
Mr Prof Dr Gerd Richter – University of Halle-Wittenberg – Saxony,
Mr Prof Dr Albrecht Beutelspacher – University of Gießen – Hesse,
Mr Prof Dr Hans-Georg Weigand– University of Würzburg – Bavaria,
Mr Prof Dr Marcel Erné– University of Hannover – Lower Saxony,
Mr Michael Löber– Maths Teacher,
Mr Dr Michael Enzinger– Principal – Bavaria,
Mr Helge Dietrich– former head of VBE – Berlin,
Mr Mustafa Altas–body member– Hesse,
Mr Dr Oliver Bueltel– University of Duisburg-Essen – North Rhine Westphalia,
Mr Deniz Schneider– Maths Teacher – Baden-Württemberg,
Mr Georg Doll– Maths Teacher – Baden-Württemberg,
Mrs Gülcan Yildirim– Maths Teacher – Baden-Württemberg,
Mrs Hülya Balkis– Maths Teacher – Baden-Württemberg,
Mr Muhammed Tolus– Maths Teacher – Baden-Württemberg,
Mr Ralf Scherzinger– Maths Teacher – Baden-Württemberg,
Mrs Sarah Becker– Maths Teacher – Baden-Württemberg,
Mrs Kerstin Weimar– Maths Teacher – Bavaria,
Mrs Michaela Bernecker– Maths Teacher - Bavaria,
Mr Salih Ergün– Maths Teacher – Berlin,
Mrs Hildegard Lindner - Maths Teacher – Hesse,
Mrs Kate Wilkinson - Maths Teacher – Hesse,
Mrs Birgit Jochems - Maths Teacher – Hesse,
Mr Steven Wilson – Maths Teacher – Hesse,
Mr Mithat Sarikaya– Teacher in Trainee – Lower Saxony,
Mrs Derya Günes– Maths Teacher – North Rhine Westphalia,
Mr Tolga Gebes– Maths Teacher – North Rhine Westphalia.
Last but not least we want to say our thanks to the, not namely mentioned, engaged and
voluntary supporters and “The European School RheinMain” in Bad Vilbel (Hesse/Germany).
Copyright © 2014
The question catalogues have a copyright protection. Any reutilization without the permission of
Pangea Wettbewerbe e.V., especially the duplicating, translating and saving in electronic data systems
(e.g. the internet) is not allowed and will have a criminal prosecution.
Organisation
2nd Round
Final
Ceremony
Partner Organisation
Supporter
Saturday, 10th of May, 2014
Saturday, 31st of May, 2014 Justus-Liebig University / Gießen
June/July 2014 in 6 several places in Germany
Further information can be found on:
www.pangea-wettbewerb.de
Sponsor