Blockhouse Bay Intermediate Summer Maths Challenge 2019/2020 Make your summer mathematical! Complete the following daily challenges yourself with the following problems with a family member. Return your completed answer sheet to the office by Friday 7 February. A teacher will be available to help you in the school library on 21 and 28 January from 10am-12pm. December 2019/ January 2020 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 15 Jeff, Tom and Rob all refused to be weighed at the same time. Jeff and Tom together weigh 156kg. Tom and Rob weigh 165kg, and Jeff and Rob weigh 161kg. How much does each of them weigh? 16 17 A log is cut into 4 pieces in 12 seconds. How long would it take to cut the same log into 5 pieces? 18 19 I am a three-digit number. My tens digit is six more than my ones digit. My hundreds digit is eight less than my tens digit. What number am I? 20 Put the numbers 1,2,3,4,5,6,7 in the circles so that each straight line of three numbers adds up to the same total 21 Can you solve this! 22 Six cards are lying on the table in the order: 6, 2, 1, 4, 5, 3 as shown in the top row of the picture. They need to be placed in the order shown in the bottom row. In each move, any two cards may be switched. What is the least number of moves that need to be made? 23 24 Alvin spent half as much as Lorie did on holiday presents this year and Chris spent three times more than Alvin did. The total spent between the three of them was $720. How much money did each person spend? 25 Take a closer look at the following figure… How many triangles can you find. I’ve counted 35, can you find them all? 26 My birthday is on the 6th of January. What will the date be 50 days after? 27 Cleopatra, queen pharaoh of Egypt acceded to the throne in March 51 BC. She was pharaoh for just over 21 years, and died in the month of August. In which year did Cleopatra die? 28 Write this Roman numeral in digits: MMXX 29 Barbara likes to add the digits showing the current time on her electronic watch. For example, when the watch shows 21:17, she gets the number 11 as the result (2+1+1+7=11). What is the greatest sum she can get? (Note: use "24 hour clock" time: where 1 PM is 13:00, up to 11:59 PM which is 23:59) 30 I am an odd number. Take away one letter and I become even. What number am I? 31 Start with number 1000 then add 20. Now add 1000 one more time. Now add 30. Now add 1000 one more time. Now add 40. Now add 1000 one more time. Now add 10. What is the total? Jan 1 Solve this Roman numeral equation: CL - LXV 2 What number is halfway between 12-20? 3 200 is divided by 7. What is the remainder? 4 3 different prime numbers add up to 40. What are they?