INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
3
111
111
1110
Level Student (Class 11 & 12)
111
1000
3
1000
3
1110
Page 1 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
XY
Y
X
X
Y
Y
(A)
Y
X
(B)
Y
X
Y
X
(D)
X
Y
(E)
Level Student (Class 11 & 12)
X
Page 2 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
?
S1
X
Y
S2
5
S1
Y
S2
X
8
4
3
3
2
7
4
8
5
15
10
2
2
x - 4x + 2 = 0, then x + x equals
AP
AXP
BP
A
O
20
B
16
X
P
30
24
Level Student (Class 11 & 12)
18
Page 3 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
a,b,c,d
a, b, c and d?
a
a + 2 = b - 2 = c . 2 = d : 2.
b
c
d
x4 if x1 = 2 and xn+1 = xnxn for n >1?
22
3
22
ABCD
CD
Level Student (Class 11 & 12)
4
22
11
22
16
22
BC
AM = MC
AC.
768
M
< CAM?
Page 4 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
2
4
2
3+ 3
Level Student (Class 11 & 12)
3
3+ 2
4+ 3
Page 5 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
B
C
?
X
A
A,B,C,D
A,
X
X
X
X
E
<ABD?
X
D
E
2
(X - 4x + 5)
4:
3 2 :
x 2 + x -30
=1
16 : 9
:3
4:3
Y
O
Level Student (Class 11 & 12)
X
Page 6 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
P.
8 ,
P
these
ABCD
M
N
B
D
CD.
AB.
2
A
B
D
C
M
N
A
B’
D
C’
A’
D
B’
C’
Level Student (Class 11 & 12)
Page 7 of 8
INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 3 Hours
n
n.
p
n + p?
3
3
Let an is the remainder, when (n + 1) divided by n . Let b n is the remainder, when an
divided by 3. Find b1 + b2 + ... + b 2016 . (n is positive integer.)
168
672
N
1008
1344
2014
N.
N?
Level Student (Class 11 & 12)
Page 8 of 8