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13. Find the total number of squares in a 4  4 square grid. 14. How man y digits are there before the fifteen 7 of the following number? 37337333733337333337… 15. A box contains 30 coloured pens: 15 blue, 10 red and 5 black. Alice takes some pens from the box without looking at the colours of the pens. What is the least number of pens she must take so that she has at least 8 pens of the same colour? Section B [2 marks for each question] 16. In the following alphametic, all the different letters stand for different digits. Find the four-digit sum PEEL. A M + L A P P E E L 17. A teacher has a bag of sweets to treat her class. If she gave 4 sweets to each student, then she would have 82 sweets left. If she gave 9 sweets to each student, then she would have 2 sweets left. How many students and how many sweets are there? 18. When Amy, Betty and Cheryl eat out, each orders either beef or chicken. a. If Amy orders beef, Betty orders chicken. b . Either Amy or Cheryl orders beef, but not both. c . Betty and Cheryl do not both order chicken. Who could have ordered beef yesterday and chicken today? 19. What are the last 3 digits of the sum 1 + 11 + 111 + … + 111…111? 70 digits 20. The diagram shows 9 points. Draw 4 consecutive line segments (i.e. the start point of the next segment must coincide with the endpoint of the previous segment) to pass through all the 9 points. Свалено от Klasirane.Com