... Question 26 is 6 marks, question 27 is 7 marks, question 28 is 8 marks, question 29 is 9 marks and question 30 is 10 marks. 26. The right-angled triangle ABC has area **2016** cm 2 . Lines AI, IF , IE, EH, HD, DG ...

7

... (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 20. The increasing sequence of positive integers 1, 2, 4, . . . has the property that each term from the third onwards is the next positive integer which is not equal to the sum of any two ...

7

... For poems with three lines, there are five different rhyming structures: either all three lines rhyme, exactly one pair of lines rhyme (occurring in three ways), or none of the lines rhy[r] ...

7

... Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such p[r] ...

7

... Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such p[r] ...

7

... Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such p[r] ...

7

... Using blobs of modelling clay to join the matches together, they make a long row of cubes. This is how their row starts[r] ...

9

... UP 8 27. The number 840 is the 3-digit number with the most factors. How many factors does it have? 28. A class has **2016** matchsticks. Using blobs of modelling clay to join the matches together, they make a long ...

9

... At Berracan station, northbound trains arrive every three minutes starting at noon and ﬁnishing at midnight, while southbound trains arrive every ﬁve minutes starting at noon and ﬁnishin[r] ...

8

... A four-digit number abcd is called cool if a is divisible by 4, the two-digit number ab is divisible by 5, the three-digit number abc is divisible by 6 and abcd is divisible by 7.. The s[r] ...

7

... A hockey game between two teams is ‘relatively close’ if the number of goals scored by the two teams never differ by more than two?. In how many ways can the first 12 goals of a game be [r] ...

7

... Record your answers on the reverse of the answer sheet (not on the question paper) by FULLY colouring the circle matching your answer6. Your answer sheet will be scanned.[r] ...

8

... If you start from any town and travel along red and yellow roads alternately (RYRY...) you will get back to your starting town after having travelled over six diﬀerent roads.. In fact RY[r] ...

7

... Record your answers on the reverse of the Answer Sheet (not on the question paper) by FULLY colouring the circle matching your answer.. Your Answer Sheet will be read by a machine.[r] ...

10

... This book reproduces problems, solutions and extension questions from both Junior (Years 7 and 8) and Intermediate (Years 9 and 10) versions of the Mathematics Challenge for Young Austr[r] ...

8

... When Jack finished, there were half as many runners who had finished before him compared to the number who finished behind him.. Jill was the 10th runner to finish behind Jack and there [r] ...

7

... The teacher claims that no matter what the students write, there will be at least three numbers on the whiteboard whose digits have the same sum.. What is the smallest number of students[r] ...

6

... One corner of the paper has been folded over so that the sides of the triangle formed are parallel to the sides of the square as shown.. The total visible area of the paper is half shade[r] ...

7

7

... 27. 從一個邊長為 y cm 的大正方形**中**，在角落、邊上與中心分別切除邊長 為 x cm 的小正方形做成一個墊子，如圖所示。 若 x 、y 都是質數，且這個墊子外圍與內圍總周長的 cm 數值等於這 個墊子面積的 cm 2 數值。請問這個墊子可能的最小面積是多少 cm 2 ？ 28. 在右圖**中**，每個圓圈有三個或六個相鄰的圓 ...

8