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[PDF] 2019 AMC Middle Primary Years 3 and 4 Questions Australian Mathematics Competition [PDF]
[PDF] 2019 AMC Middle Primary Years 3 and 4 Questions Australian Mathematics Competition [PDF]
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Copyright © 2019 Australian Mathematics Trust AMTT Limited ACN 083 950 341 AUSTRALIAN MATHEMATICS COMPETITION Middle Primary Years 3 & 4 (Australian school years) NAME: TIME ALLOWED: 60 minutes THURSDAY 1 AUGUST 2019 INSTRUCTIONS AND INFORMATION General 1 Do not open the booklet until told to do so by your teacher. 2 You may use any teaching aids normally available in your classroom, such as MAB blocks, counters, currency, calculators, play money etc. You are allowed to work on scrap paper and teachers may explain the meaning of words in the paper. Mobile phones are not permitted. 3 Diagrams are NOT drawn to scale. They are intended only as aids. 4 There are 25 multiple-choice questions, each requiring a single answer, and 5 questions that require a whole number answer between 0 and 999. The questions generally get harder as you work through the paper. There is no penalty for an incorrect response. 5 This is a competition not a test; do not expect to answer all questions. You are only competing against your own year in your own country/Australian state so different years doing the same paper are not compared. 6 Read the instructions on the answer sheet carefully. Ensure your name, school name and school year are entered. It is your responsibility to correctly code your answer sheet. 7 When your teacher gives the signal, begin working on the problems. The answer sheet 1 Use only lead pencil. 2 Record your answers on the reverse of the answer sheet (not on the question paper) by FULLY colouring the circle matching your answer. 3 Your answer sheet will be scanned. The optical scanner will attempt to read all markings even if they are in the wrong places, so please be careful not to doodle or write anything extra on the answer sheet. If you want to change an answer or remove any marks, use a plastic eraser and be sure to remove all marks and smudges. Integrity of the competition The AMT reserves the right to re-examine students before deciding whether to grant official status to their score. Reminder: You may sit this competition once, in one division only, or risk no score.
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MP 5 18.Meena has a $50 gift voucher to spend in a toyshop, \but they won’t give change from the voucher. Here is a short list of toys she would like. She tried to spend as much of the $50 as possi\ble. $24 $14 $6 $39 If she \buys no more than one of each toy, how much of the voucher will not get used? (A) $1 (B) $3 (C) $5 (D) $7 (E) $9 19. A square piece of paper is folded twice along its diagonals, as shown in the diagram. Two corners are then cut off. When the paper is unfolded, what will it look like? (A) (B) (C) (D) (E) 5 2019 AMC — Middle Primary
MP 6 20.It takes Preeti 30 minutes to walk to school. Sometimes she \boes on her bike and she cycles twice as fast as she walks. Occasionally, her mother takes her in the car, which \boes three times as fast as her bike. How many minutes does it take to \bet to school in the car? (A) 2 (B) 4 (C) 5 (D) 10 (E) 15 Questions 21 to 25, 5 marks each 21. In my dance class, 14 students are taller than Bob, and 12 are shorter than Alice. Four students are both shorter than Alice and taller than Bob. How many students are in my dance class? (A) 22 (B) 24 (C) 26 (D) 28 (E) 30 22. My sister and I are playin\b a \bame where she picks two countin\b numbers and I have to \buess them. When I tell her a number, she multiplies my number by her first number and then adds her second number. When I say 15, she says 50. When I say 2, she says 11. If I say 6, what should she say? (A) 23 (B) 27 (C) 35 (D) 41 (E) 61 23. A year 6 student saved 100 cents in 5 days, each day savin\b 5 cents more than the previous day. How many cents did she save on the fifth day? (A) 20 cents (B) 25 cents (C) 30 cents (D) 40 cents (E) 50 cents 24. A cube has the letters A, M, C, D, E and F on its six faces. Two different views of the cube are shown. I place the cube on the table so that the front shows C . If I look at the back of the cube, what will I see? D A C A E F (A) D (B) E(C) F (D) E (E) F 6 2019 AMC — Middle Primary
MP 7 25.Shirley has six pieces of her construction kit: two re\b, two blue an\b two green. She wants to buil\b a square using four of the pieces. Shirley consi\bers Square 1 below to be the same as Square 2, since the colours match once Square 2 is turne\b over an\b rotate\b. However she consi\bers Square 3 to be \bifferent from Square 1, since no matter how it is turne\b, the two re\b si\bes are always opposite, an\b cannot match Square 1. Red Red Blue Green Square 1 Green Blue Red Red Square2 Red Blue Red Green Square3 How many \bifferent squares coul\b she buil\b? (A) 4 (B) 8 (C) 12 (D) 16 (E) 18 For questions 26 to 30, shade the answer as a whole num\ber from 0 to 999 in the space provided on the answer sheet. Questions 26–30 are worth 6, 7, 8, 9 and 10 marks, respectively. 26. At my local greengrocer, you take a ticket from the machine an\b wait until your number is calle\b. The roll of tickets goes from 000 up to 999. When I was there last week with my neighbour, we took two tickets in a row an\b our two numbers a\b\be\b to 777. What was the next ticket number after ours? TAKE A TICKET 7 2019 AMC — Middle Primary
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2019 AMC — MIDDLE PRIMARY SOLVE PROBLEMS. CREATE THE FUTURE. amt.edu.au Problems are part of life and we’ve made it our mission to equip young students with the skills to solve more of them. Problem solving is a life skill and by developing it, students can create more choices for themselves and the future.