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Difference between revisions of "2007 Cyprus MO/Lyceum/Problems"

(→‎Problem 2)
(→‎Problem 3)
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== Problem 3 ==
 
== Problem 3 ==
 +
A cyclist drives form town A to town B with velocity 40 <math>^{km} / _h</math> and comes back with velocity 60 <math>^{km} / _h</math>. The mean valocity in <math>^{km} / _h</math> for the total distance is
 +
 +
A. 45
 +
 +
B. 48
 +
 +
C. 50
 +
 +
D. 55
 +
 +
E. 100
  
 
[[2007 Cyprus MO/Lyceum/Problem 3|Solution]]
 
[[2007 Cyprus MO/Lyceum/Problem 3|Solution]]

Revision as of 10:51, 6 May 2007

Problem 1

If $x-y=1$,then the value of the expression $K=x^2+x-2xy+y^2-y$ is

A. $2$

B. $-2$

C. $1$

D. $-1$

E. $0$

Solution

Problem 2

Given the formula $f(x) = 4^x$, then $f(x+1)-f(x)$ equals to

A. $4$

B. $4^x$

C. $2$•$4^x$

D. $4^{x+1}$

E. $3$•$4^x$

Solution

Problem 3

A cyclist drives form town A to town B with velocity 40 $^{km} / _h$ and comes back with velocity 60 $^{km} / _h$. The mean valocity in $^{km} / _h$ for the total distance is

A. 45

B. 48

C. 50

D. 55

E. 100

Solution

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

See also

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