ASHBOURNE MATHEMATICS CHALLENGE 2009
RULES AND GUIDELINES (to be read before starting)
1. Do not open the paper until the invigilator tell to do so.
2. Time allowed: 1 hour.
No answer, or personal details, may be entered after the allowed hour is over.
3. The use of rough paper is allowed; calculators and measuring instruments are
4. Do not expect to finish the whole paper in 1 hour. Concentrate first on Question 1-
15. When you have checked your answers to these, have a go at some of the later
5. Five marks are awarded for each correct answer to question 1-15.
Six marks are awarded for each correct answer to question 16-25.
6. Write down the answers on the sheet, which accompanies the test paper.
ASHBOURNE, SPRING 2009
NAME OF CANDIDATE -
DATE OF TEST -
1. How many letters of the word MATHEMATICS do not have any lines of
2. Which of the following numbers is exactly divisible by 7?
3. The year 2004 has the units digit equal to twice the thousands digit. How many
years will it be before this next happens?
4. A bug has landed at point P in the diagram.
If it travels only along the edges of the figure, but
cannot travel along any edge more than once, how
many different ways are there for it to get from P to Q ?
5. The word 'thirty' contains 6 letters and 30 = 6x5 Similarly, the word 'forty' contains
5 letters and 40 = 5x8. Which of the following is not a multiple of the number of
letters it contains?
6. Which of these fractions is nearest to 1?
7. In music, a demisemiquaver is half of half of half a crotchet, and there are four
crotchets in a semibreve.