2nd Year

 All-Ireland Finalist Exam for 2nd Year Students
Do not turn the page until you are instructed to do so.
Answer each question in the box provided next to the question on this
sheet. Only one answer should be given unless the question states
otherwise. There is no need to explain your answer or show your work.
You may use a separate piece of paper to complete your workings.
You will have 40 minutes to complete 5 problems of varying difficulty.
You may not leave until the exam has finished.
USE BLOCK CAPITAL LETTERS Name:
____________________
Student ID:
____________________
School:
____________________
County:
____________________
THIS IS ON YOUR BADGE
Write your final answer in the box next to each question î
1. If a tire rotates at 500 revolutions per minute when the car is traveling
75km/h, what is the circumference of the tire?
2. What number should replace the question mark?
3. Normally, the train between Wexford and Gorey drives at an average
speed of 90 km/h. One day, the train was delayed a little. Because of
this, the average speed of the train between Wexford and Gorey was
only 70 km/h, and the train arrived four minutes late in Gorey. What is
the distance between the stations of Wexford and Gorey?
4. Farmer Joe has a turkey farm. On a certain day, Joe calculates in how
many days he will run out of turkey-food. He notices that if he sells 75
of his turkeys, he could feed the remaining turkeys twenty days longer
with the turkey-food he has, and that if he bought 100 extra turkeys, he
would run out of turkey-food fifteen days earlier.
How many turkeys does Farmer Joe have?
5. It takes a boat 3 hours to travel down a river from point X to point Y,
and 5 hours to travel up the river from Y to X. How long would it take
the same boat to go from X to Y in still water? Give your answer in
hours and minutes