Here are some interesting problems from the Math
Kangaroo 2008. Take the challenge and see if you can solve these
problems.
1) Tom's dad is 4 years older than
his mom. Right now, his dad is 37 years old. How old was his mother
10 years ago?
A) 31
B) 23 C) 21
D) 20
[Level 2, Math Kangaroo 2008]
2) There are equal numbers of cats,
dogs and chickens in the yard. Together, they have 50 legs. how many
cats are there in the yard?
A) 4
B) 6 C) 5
D) 7
[Level 2, Math Kangaroo 2008]
3) A boy named Peter has as many
brothers as sisters. His sister Ann has twice as many brothers as
sisters. How many children are there in the family?
A) 3
B) 4 C) 5
D) 6 E) 7
[Level 3 & 4, Math Kangaroo 2008]
4 ) Right now, Mary is five times as old as her sister Li. In 6 years,
she will be twice as old as Li. How old will Mary be in 10 years?
A) 15 B) 20
C) 25 D) 30
E) 35
[Level 3 & 4, Math Kangaroo 2008]
5) Three friends lived on the same street: a doctor, an engineer,
and a musician. Their names are: Smith, Roberts and Farrell. The
doctor has neither a sister nor a brother. He is the youngest among
his friends. Farrell is older than the engineer and is married to
the sister of Smith. The names of the doctor, the engineer and the
musician are the following:
A) Farrell, Roberts, Smith
B) Farrell, Smith, Roberts
C) Roberts, Smith, Farrell
D) Roberts, Farrell, Smith
E) Smith, Farrell, Roberts
[Level 5 & 6, Math Kangaroo 2008]
6) A fairy has 6 bottles with the following volumes 16, 18, 22, 24,
32 and 34 ounces. Some are filled with orange juice, some filled
with cherry juice and one is empty. There is twice as much orange
juice as cherry juice. What is the volume of the empty bottle?
A) 18 oz
B) 34 oz
C) 24 oz
D) 32 oz
E) 22 oz
[Level 5 & 6, Math Kangaroo 2008]