FOR C
CLASS 55
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1.
How much does the result of lack from 1? 1 3 3 5 A) B) C) D) 5 5 8 8 1 0,25 1 2++ −8 FIRST PARTATTENTION!In this part there are questions which have the value 1,25 point from 1 to 10.
2.
The radius of the smallest circle is 2 cm in given simetry. According to this,
what is the ratio of ? BB 1 1 A) B) C) 2 D) 4 4 2 |AB| |CD| A C B D
3.
Mehmet can read a book in 10 days. If he read 20 pages more everyday, this book would be finished.
How many pages does the book have?
DD
A) 120 B) 200 C) 240 D) 300
4.
A number is put in this operation machine and the result is 31.
What is the sum of the digits of this number which is put in this machine? ?? A) 4 B) 5 C) 6 D) 13 NUMBER 5 TIMES OF IT subtract 3 half of it RESULT
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8.
A runner runs at the same speed on the runways which are regular polygons. The runner completes his run in 90 seconds in the first runway.
How long do the second and third runway-runs take him to complate? CC A) 150 sn – 72 sn B) 100 sn – 144 sn C) 150 sn – 216 sn D) 150 sn – 174 sn 10 m 20 m 48 m first
pist secondpist thirdpist
5.
The triangles in the shape are all equilateral triangles. If the perimeter of shaded triangle is 18 cm, what is the perimeter of the triangle PRS? ?? A) 36 B) 48 C) 60 D) 72 P S R D F E C B A
7.
The distance between Ali and his reflection on the mirror is 10 cm.
What should Ali do to have 32 cm distance between him and his reflection? AA A) He should go 11 cm back. B) He should go 22 cm back. C) He should go 6 cm back. D) He should go 12 cm back. mirror
6.
Which of the triangles below is different from the others with its one property? ?? C) D) A) B) T R 38° S 114° V Y Z 86° 31° A B 64° 58°C K 27° 16° L Mwww
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11.
Zeynep put 53 beads in a beads box in 9 times. In every time he put at least 3 beads.How many putting at most were there that she put 8 beads at a time? BB
A) 4 B) 5 C) 6 D) 7
9.
A water tank is full with 60% sea water, 25% of the remaining of it full with pit water.What is the percentage of the empty part in this tank?
CC
A) 15 B) 30 C) 70 D) 85
10.
A worker is digging 3 m pit in half an hour but 1 m of it is closed because of rain. The worker started to dig at 10:30.
What time will he reach 15 m long pit?
CC
A) 12:00 B) 12:30
C)13:30 D)14:00
12.
A sleeping baby wakes up in every 3 hours and drinks milk in 5 minutes then baby sleeps again. One night, the clocks are forwarded 1 hour. At this night, baby sleeps at 22:40 and wakes up at 09:40.
How much did the baby sleep totaly? AA
A) 09 hour 45 minutes B) 10 hour
SECOND PART
ATTENTION!In this part there are questions which have the value 2,50 point from 11 to 30.
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15.
ABCD is a trapozoid and m(ëA) = 100° m(ëD) = 50° |AB| = |AC| = 4 cm What is |CD| ? BB A) 6 B) 8 C) 10 D) 12 A D C B
14.
32+ 1 = 42– 6 52+ 1 = 62– 10 72+ 1 = 82– 14 1492+ 1 = a2– bWhat is b according to the information above? DD A) 198 B) 244 C) 264 D) 298
16.
ABCD is a rectangle |CD| = |AE| = |AF| m(BéED) = 80, m(FéAC) = 50 What is the measurement of CéEF ? DD A) 80 B) 70 C) 60 D) 50 A B D E F C13.
Which of the followings can not be the area of triangles which are drawn in the circle and have a side passing through point M? DD A) 162cm B) 270cm M Diameter = 36 cm 2 C) 324cm D) 360cm 2 2 2
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17.
A 300 m long train has the velocity of 120 km per hour. If this train goes through a tunnel which has the length of 3700 m.
How long does it take between the entrance of the front of this train to the tunnel and going out of the last part of this train from the tunnel? BB
A) 1 dk 40 sn B) 2 dk C) 2 dk 40 sn D) 3 dk
18.
A driver spends 220 TL to fuel-oil per month. After having LPG for his car he gained the benefit of 45%. The cost of LPG system was 1089 TL.How many months later, will be save the equal cost of LPG?
BB
A) 10 B) 11 C) 12 D) 13
19.
Four friends are going for travelling with their bikes that have different lengths. Their radiuses of wires are like the followings:The wire of first child is of second The wire of third child of second The wire of fourth child is half of second Which is 1,8 km.
What is the sum of the perimeters of wires of these children?
(π= 3 are restricted) AA A) 300 cm B) 310 cm C) 320 cm D) 330 cm 3 4 1 4
20.
3⊕5 = 24 7⊕6 = 91 2⊕8 = 20 6⊕5 = 66Furkan who was the champion of Coþmaya 2009 defines a new addition operation that their examples are given above while he is preparing for Coþmaya 2010.
According to Furkan’s addition operation, what is 4 ⊕7? ??
A) 11 B) 17 C) 22 D) 44 At the end of the way the wire of fourth child turned 3000 times.
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21.
ABCD is a square and EBC is an equilateral triangle.
What is the measurement EéFD ? ?? A) 45° B) 60° C) 75° D) 105° A B D C ? E F
22.
The ratio of the lengths of four
basketballer to the basketball pota are given in the shape.
Which basketballer is the tallest? ??
A) Hidayet B) Mehmet C) Ýbrahim D) Semih
23.
The fraction which represents the shaded region in the shape is .
Which of the following information is true for a ?
??
A) The sum of its number is 4. B) It is a multiple of 15.
C) It is the smallest number with two digits.
D) It is odd number.
15 a 4−
24.
Sema, Coþkun and Nilüfer who are siblings will share a sack of walnut. Coþkun took of walnuts, Nilüfer took half of the number of Coþkun’s walnuts, Sema took the walnuts which remained from Sema and Nilüfer. Sema took 140 walnuts.
How many walnuts were there in the sack?
??
A) 312 B) 320 C) 324 D) 340
8 3
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25.
The graphic above shows the number of questions solved by Burak in the days of week. Burak’s teacher wanted 120 questions which should be solved by Burak as an arithmetic mean for a day.
At least how many questions should Burak solve for getting teacher’s aim on Sunday? ?? A) 40 B) 60 C) 80 D) 140 20 40 60 80 100 120 140 160 Monday Tuesday W
ednesday Thursday Friday Saturday Sunday
Number of Questions
Days
26.
Coþkun who wants to be a plane engineer drew a plane model on his notebook.
What is the area of this plane model?
1 br. 1 br.
{
{
27.
Information:It is known that there is a relationship between the number of side of a polygon and the number oftriangles which are obtained by drawing diagonals from a corner of the polygon.
According to this relationship how many triangles are there in a polygon which has two thousand and ten sides by drawing diagonals from a corner of the polygon? ?? A) 2007 B) 2008 C) 2009 D) 2010
28.
The question which is written by the mathematics teacher Mr. Önder is solved by Yurtkan, Furkan, Çaðrý and Yiðit as the followings.Which students solved the question right? ?? The solution of Yurtkan 18 + 12 : 3 –2 x 5 = 18 + 4 – 10 = 22 – 10 = 12 The solution of Furkan 18 + 12 : 3 –2 x 5 = 30 : 3 – 10 = 10 – 10 = 0 The solution of Çaðrý 18 + 12 : 3 –2 x 5 = (18 + 12) : 3 –2 x 5 = 30 : 3 –2 x 5 = 10 –2 x 5 = 8 x 5 = 40 The solution of Yiðit 18 + 12 : 3 –2 x 5 = 18 + 12 : 1 x 5 = 18 + 12 x 5 = 18 + 60 = 78
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29.
COÞMAYA COÞMAYA COÞMAYA ...COÞMAYA
2011 letters are used in the squence which is above.
What is the letter that is 1453rdfrom the left?
??
A) C B) Þ C) M D) A
30.
The smallest squares are equal in the shape which is above.
How many squares are there in this shape?
??
A) 25 B) 35 C) 45 D) 55
31.
The first three steps of relationship are given above that they were done by using equal match stics. Sevgi has 440 match stics.
How many more steps can be dane by Sevgi in this relationship?
DD A) 3 B) 4 C) 5 D) 6 First step Second step Third step
32.
When the fountain is opened half of a litre water is poured. Water is going from a depot to the other when a depot is full. The fountain is opened at 09.00 a.m in the morning and it is closed at 12.04 pm on the same day.
After closing the fountain, which depot has the water come and how many litre water was poured in the last depot? CC A) third depot – 46 Lt B) third depot – 56 Lt C) fourth depot – 6 Lt D) fourth depot – 16 Lt 120 lt 90 lt 60 lt 30 lt first
depot seconddepot thirddepot fourthdepot
THIRD PART
ATTENTION!In this part there are questions which have the value 3,75 point from 31 to 40.
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33.
A wehicle which has a hole in its petrol tank, is going to way with it’s length of 596 km. 1 ml petrol is poured from the tank in 4 seconds. Driver filled up the tank. He took 50 litre petrol in the half of way. When he arrived the end of the way, he saw that of tank is full, and the tank can take 60 liter petrol. As we think that the way takes 5 hours.How many liters of petrol did the wehicle use?
BB
A) 90 B) 90,5 C) 91 D) 91,5
1 4
34.
There are 34 students in a class. All of them are forming a circle in the garden by holding hands of each other. There are t-shirts which has the number 1,2,3, ... 34 on their back of each student. They are starting a game by counting from 1 to 7. The student who said 7, is going out from the circle 8th student says again 1, 9th student says again 2 and 14th student says again 7. 14th student goes out from the circle.What is the number of the student who remains the last in this game? CC
A) 11 B) 16 C) 19 D) 24
35.
In the triangle above |AB| = |AC| and |AD| = |BD| = |BC|.
What is the measurement of AéDB? ??
A) 90° B) 108° C) 120° D) 145°
A
B C
D
36.
5% of a goods is sold with the profit of 5%, 10% of this goods is selling with the profit of 10%; 30% of this goods is selling with the profit of 30% and 45% of this good is selling with the profit of 45%. The remainings of goods is selling without benefits.What is percentage of total profit that is obtained from these goods? ??
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40.
Ali is starting from the square A1 and putting 2 rices, 6 rices, 12 rices, 20 rices on the direction of arrow according to a rule.
Which square does Ali put 870 rices into? ?? A) E5 B) C4 C) D4 D) F4 A B C D E F G H 1 2 3 4 5 6 7 8
37.
a, b, c are natural numbers and theysatisfy the rule a < b < c < 10.
How many different fractions with integers can be written in the form of ? ?? A) 110 B) 116 C) 117 D) 118 b a c
38.
a and b are natural numbersIf 3×a+7×b= 96 then what is the sum of the values that can be taken by a? ??
A) 32 B) 76 C) 80 D) 84
39.
A wire with the length of 24 m is disintagrated into different parts. Two different squares are obtained from these parts. The area of the big square is 9 times of the small one.What is difference of the lengths of these parts?
??
