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YEAR EIGHT Mathex 2011 Team Question 1 A marathon race started at 11.30am and the winner finished at 1.47pm the same day. What was the winner’s time in minutes? YEAR EIGHT Mathex 2011 Team Question 2 $25 is less than $50 by 50%. By how many % is $50 greater than $25? YEAR EIGHT Mathex 2011 Team Question 3 Maria has lived 1/3 of her life in Wellington, ¼ of her life in Dunedin and the other 5 years in Palmerston North. How old is Maria? YEAR EIGHT Mathex 2011 Team Question 4 A clock is set correctly at 1pm. It loses 3 minutes every hour. What will the clock read when it is 10am the next day? YEAR EIGHT Mathex 2011 Team Question 5 What is the sum of the first 20 odd counting numbers? YEAR EIGHT Mathex 2011 Question 6 Find the missing number in the table below: 7 3 11 9 5 22 ? 2 27 Team YEAR EIGHT Mathex 2011 Team Question 7 What are the next two whole numbers greater than 1009? YEAR EIGHT Mathex 2011 Team Question 8 If a rectangle has a perimeter of 24cm and one side is twice as long as another, what is its area In square centimetres? YEAR EIGHT Mathex 2011 Team Question 9 Two cannons are fired together at 8.00am. One cannon then fires again every 120 minutes whilst the other cannon continues to fire every 75 minutes. At what time will the two cannons both fire again at the same time? YEAR EIGHT Mathex 2011 Team Question 10 What numbers comes at the end of this sequence? 1, 5, 7, 13, 25, 45, 83, 153, 281, 517, ________ YEAR EIGHT Mathex 2011 Team Question 11 The ages of a father and son add up to 55. The father’s age is the son’s age reversed. How old are they? Father: Son: YEAR EIGHT Mathex 2011 Team Question 12 You put one magic $1 coin into a box. The coin is converted into 2 such magic $1 coins in one minute. Then those two coins are converted into 4 such coins in one minute, and so on. It takes 12 minutes to fill the box. How long does it take to fill the box if you initially 2 such magic coins in the box instead of one? YEAR EIGHT Mathex 2011 Team Question 13 What is the value of 92 x 33 YEAR EIGHT Mathex 2011 Team Question 14 What is the least number of different colours needed to paint a cube so that no two adjacent faces have the same colour? YEAR EIGHT Mathex 2011 Team Question 15 How many digits are needed to number all the 45 houses in a street? (Each house number appears once only on their letter box) YEAR EIGHT Mathex 2011 Team Question 16 By what number must ½ be divided by to get 3 as an answer? YEAR EIGHT Mathex 2011 Team Question 17 All my ties are red except two. All my ties are blue except two. All my ties are brown except two. How many ties do I have? YEAR EIGHT Mathex 2011 Team Question 18 How many tickets with different points of origin and destination can be sold on a bus line that travels a loop of 25 stops? YEAR EIGHT Mathex 2011 Team Question 19 Riding at 20 km/h how long would it take to ride 25 km? YEAR EIGHT Mathex 2011 Team Question 20 By placing a 1 at both ends of a number, its value is increased by 14789. What is the sum of the digits of the original number? Tie Breaker 1: In a group of 40 students, 20 play tennis, 19 play volleyball and 6 play both tennis and volleyball. How many students play neither tennis nor volleyball? Tie Breaker 2: If a 75 minute test starts at 10:40 am when will it finish? YEAR 8 ANSWERS 2011 1. 137 2. 100% 3. 12 4. 8.57am 5. 400 6. 10 7. 1010, 1011 8. 32 - no units needed 9. 6.00pm 10. 951 11. 41 and 14 ( note 23 and 32 are possible but invalid so mark as incorrect) 12. 11 minutes 13. 2187 14. 3 15. 81 16. 1/6 17. 3 18. 600 19. 1 hr 15 min or 75 mins 20. 10 Tie Breaker 1. 7 Tie Breaker 2. 11.55am