MATHEMATICS TEAM
CHALLENGE 2014
TEAM EVENT: Year 8
(Calculators are allowed)
Please write answers on the answer sheet.
Time: 45 minutes
Total: 150 points_
T1. (10 points)
How many times does the digit “1” appear if all of the counting numbers from 1 to 100 are written down?
T2. (20 points)
How many triangles are in this figure?
T3. (20 points)
The hours 2, 4, 7 and 11 are connected to form a quadrilateral on a clockface. What is the measure of the
largest interior angle?
T4. (10 points)
Find the largest two-digit integer that is increased by 20% of its value if its digits are reversed.
T5. (15 points)
Every 13th day, Mary visits the park, hoping to find Fred there; every 17th day, Fred does the same, hoping
to find Mary. They just missed each other when Mary visited the park on Christmas Eve and Fred went on
Christmas Day. On what date will they eventually meet?
T6. (20 points)
How many three-digit numbers can be written using no 0’s and at least one 6?
T7. (10 points)
The ratio of the lengths of a right-rectangular prism is 1: 2 : 4 and the total surface area is 252 m2. What is
the volume?
T8. (15 points)
A certain number has exactly eight factors, of which 35 and 77 are two. What is the number?
T9. (15 points)
A farmer bought 100 head of livestock with exactly $100. Pigs were $10 each, sheep were $3 each and
chickens were $0.50 each. If he bought at least one of each, how many chickens did he buy?
T10. (15 points)
A prime-prime is a prime number that remains prime when its unit digit is truncated. (e.g., 131 is a primeprime because 13 is prime). How many two-digit prime-primes are there?
School Name:_____________________________ Team 1:
Team 2:
2014 MATHS TEAM CHALLENGE
YEAR EIGHT
TEAM EVENT
ANSWER SHEET
Question
T1. (10 points)
Answers
Points
T2. (20 points)
T3. (20 points)
T4. (10 points)
T5. (15 points)
T6. (20 points)
T7. (10 points)
T8. (15 points)
T9. (15 points)
T10. (15 points)
Total
/150
2014 MATHS TEAM CHALLENGE
YEAR EIGHT
TEAM EVENT
ANSWER SHEET
Question
T1. (10 points)
Answers
21 times
T2. (20 points)
20
T3. (20 points)
105º
T4. (10 points)
45
T5. (15 points)
14th February
T6. (20 points)
217
T7. (10 points)
216 m3
T8. (15 points)
385
T9. (15 points)
94 chickens
T10. (15 points)
9
Points