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2015 MIDDLE PRIMARY DIVISION AUSTRALIAN SCHOOL YEARS 3 and 4 TIME ALLOWED: 60 MINUTES 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. 3. Diagrams are NOT drawn to scale. They are intended only as aids. 4. There are 25 multiple-choice questions, each with 5 possible answers given 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. ©AMT P ublishing 2015 AMTT liMiTed Acn 0 8 3 9 5 0 3 41 A ustr Ali An M Athe MAtics c o M petition sponsored by the c o MM onwe Alth b A nk An AcTiviTy of The AusTrAliAn MATheMATics TrusT NAME YEAR TEACHER Au s Tr A l i An M A T h e M A T i c s Tr u sTMiddle Primary Division Questions 1 to 10, 3 marks ea\bh 1. How many dots are on the plate? (A) 10 (B) 12(\b) 13 (D) 14 (E) 15 2.Jill had 15 grapes. She ate 5. How many are left? (A) 7 (B) 8 (\b) 9 (D) 10 (E) 11 3.This grid gives the position of different shapes. For example, a ♦is in position B4. Which shape is in position D2? (A) ♦ (B)⊕ (\b)♥ (D) (E) 1 A 2 B 3 \b 4 D ⊕ ♥ ♥ ♦ ⊕ ♥ ♥ ⊕ 4. What fraction of this shape is shaded? (A) 1 2 (B) 1 3 (\b) 1 4 (D) 1 5 (E) 1 6
MP2 5. On this spinner, which shape are you most likely to spin? \bA) \bB) \bC) \bD) ♠ \bE) • • • ♠ 6.What time is shown on this clock? \bA) twelve o’clock \bB) a quarter to nine \bC) a quarter past three \bD) a quarter past twelve \bE) three o’clock 1 2 3 4 5 6 7 8 9 10 11 12 7.The graph below shows the number of pets owned by the students in a Year 4 class. 0 2 4 6 8 Cats Dogs Fish Rabbits Pets in Year 4 How many pets does this class have altogether? \bA) 24 \bB) 22 \bC) 21 \bD) 14 \bE) 4
MP3 8. Which number do you need in the box to make this number sentence true? 1\b + 45 = 20 + (A) 34 (B) 44 (C) 46 (D) 64 (E) 84 9.How many 2 by 1 rectangles will fit exactly into an 8 by 7 rectangle? (A) 14 (B) 28(C) 36 (D) 56 (E) 63 10.Five swimmers were in a 50 m race. The time each swimmer took to finish the race is shown in this graph. Who won the race? Time in seconds 0 10 20 30 40 I va n Henry Franco Ethan George (A) George (B) Ethan (C) Franco (D) Henry (E) Ivan
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MP5 14. To which square should I add a counter so that no two rows have the same number o\b counters, and no two columns have the same number o\b counters? (A) A (B) B (C) C (D) D (E) E A B C D E 15.John wrote his name on his book. Martha said he wrote with a black pen. Aaron said it was a brown pencil. Frankie said it was a black crayon. I\b each o\b John’s \briends were hal\b right, what did he really use to write his name? (A) a brown pen (B) a brown crayon (C) a brown pencil (D) a black pen (E) a black pencil 16.Follow the instructions in this flow chart. Start with 5 Subtract 2 Multiplyby 3 Is this greater than 50? Select this answer Ye s No (A) 57 (B) 63 (C) 75 (D) 81 (E) 84
MP6 17. A square piece of paper is folded along the dashed lines shown and then the top is cut off\b The paper is then unfolded\b Which shape shows the unfolded piece? (A) (B) (C) (D) (E) 18.Rod had fewer than 100 blocks\b When he made five equal rows, he had one block left over\b With four equal rows, he had one block left over\b With nine equal rows, there were no blocks left over\b How many blocks did he have? (A) 18 (B) 49 (C) 81 (D) 91 (E) 99 19.Simon has some 24 cm long strips\b Each strip is made from a different number of equal-sized tiles\b Simon took 1 tile from each strip to make a new strip\b How long is the new strip? (A) 18 cm (B) 20 cm (C) 23 cm (D) 24 cm (E) 33 cm
MP7 20. The numbers 1 to 6 are placed in the circles so that each side of the trian\ble has a sum of 10. If 1 is placed in the circle shown, which number is in the shaded circle? (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 1 Questions 21 to 25, 5 marks each 21. Grandpa had $400 in his wallet. He \bave half the money to his wife. From what was left, he then \bave one-quarter to his son. Half of the remainder went to his \brandson. How much money did his \brandson receive? (A) $50 (B) $125 (C) $100 (D) $200 (E) $75 22.The numbers 40, 19,37 ,33, 12,25 ,46 ,18 ,39 ,21 are matched in pairs so that the sum of each pair is the same. Which number is paired with 39? (A) 19 (B) 33 (C) 21 (D) 18 (E) 25 23. This shape is made from two overlappin\b rectan\bles. What is its area in square centimetres? (A) 35 (C) 39 (B) 37 (D) 41 (E) 43 5 cm 3 cm 3 cm 6 cm 4 cm 4 cm 2 cm
MP8 24. Molly is thinking of a number. Twi\be her number take away seven is the same as her number plus five. What is her number? (A) 19 (B) 17 (C) 15 (D) 12 (E) 10 25.Tom borrowed some items from the stationery \bupboard. He found that 5 glue sti\bks weigh the same as 2 staplers, and that 3 staplers weigh the same as 20 erasers. iGloo iGloo iGloo iGloo iGloo How many glue sti\bks balan\be with how many erasers? (A) 3 glue sti\bks with 8 erasers (C) 1 glue sti\bk with 6 erasers (B) 3 glue sti\bks with 50 erasers (D) 3 glue sti\bks with 17 erasers (E) 7 glue sti\bks with 23 erasers For questions 26 to 30, shade the answer as a whole nu\bber fro\b 0 to 999 in the space provided on the answer sheet. Question 26 is 6 \barks, question 27 is 7 \barks, question 28 is 8 \barks, question 29 is 9 \barks and question 30 is 10 \barks. 26. Jill has three large piles of \boins: 10\b, 20\b and 50\b. In how many different ways \ban she make one dollar?
MP9 27. A newspaper open on the table had page 42 opposite page 55 beca\bse someone had removed some pages from the centre. What is the n\bmber of the last page of the news- paper? 28.Alex is designing a sq\bare patio, paved by p\btting bricks on edge \bsing the basketweave pattern shown. She has 999 bricks she can \bse, and designs her patio to be as large a sq\bare as possible. How many bricks does she \bse? 29. There are many ways that yo\b can add three different positive whole n\bmbers to get a total of 12. For instance, 1 + 5 + 6 = 12 is one way b\bt 2 + 2 + 8 = 12 is not, since 2, 2 and 8 are not all different. If yo\b m\bltiply these three n\bmbers, yo\b get a n\bmber called the prod\bct. Of all the ways to do this, what is the largest possible prod\bct? 30.A3×2 flag is divided into six sq\bares, as shown. Each sq\bare is to be colo\bred green or bl\be, so that every sq\bare shares at least one edge with another sq\bare of the same colo\br. In how many different ways can this be done?