Tiêu đề Master Kangaroo Level B_Final Test.pdf ✅

Name: School: Class: Time: 60 min. 24 starting points 3 points each correct answer to questions 9. – 16.: 4 points each correct answer to questions 17. – 24.: 5 points each questions left unanswered: 0 points each incorrect answer: minus 1⁄4 of the points for the question Please write the letter (A, B, C, D, E) of the correct answer in the square under the question number (1 bis 24). Write clearly and carefully! Information über den Känguruwettbewerb: www.kaenguru.at Wenn du mehr in dieser Richtung machen möchtest, gibt es die Österreichische Mathematikolympiade; Infos unter: www.oemo.at 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 MASTER TEST MASTER KANGAROO LEVEL B Master Trần Đại Nghĩa each correct answer to questions 1. – 8.: 1
Känguru der Mathematik Österreich – 17. 3. 2022 Level Écolier (Schulstufe 3 and 4) Name: - 3 Point Examples - 1. The bee wants to get to the flower. Each arrow indicates a move to one neighbouring square. Which path can the bee fly to get to the flower? (A) ↓ → → ↓ ↓ ↓ (B) ↓ ↓ → ↓ ↓ → (C) → ↓ → ↓ → → (D) → → ↓ ↓ ↓ ↓ (E) → ↓ → ↓ ↓ → 2. For every birthday Maria gets as many teddies as she is years old on that day. For her first birthday she got 1 teddy. For her second birthday she got 2 teddies and so on. How many teddies in total has Maria got on the day after her sixth birthday? (A) 19 (B) 20 (C) 21 (D) 22 (E) 23 3. One of the five coins A, B, C, D or E shall be placed in an empty square so that there are exactly two coins in each row and in each column. Which coin should be moved? (A) A (B) B (C) C (D) D (E) E 4. Which two numbers can be placed instead of the  in the calculation 2022 +  = 2020 +  so that it is correct? (A) 3 and 5 (B) 4 and 1 (C) 3 and 4 (D) 7 and 2 (E) 9 and 8 5. If a laser beam hits a mirror it changes its direction (see small diagram). Each mirror has mirrored sides on both sides. At which letter does the laser beam end? (A) A (B) B (C) C (D) D (E) E 6. Kengu jumps on the number line to the right (see diagram). He first makes one big jump and then two little jumps in a row and keeps repeating the same thing over and over again. He starts at 0 and ends at 16. How many jumps does Kengu make in total? (A) 4 (B) 7 (C) 8 (D) 9 (E) 12 7. In the diagram on the right two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed? (A) (B) (C) (D) (E) Master Trần Đại Nghĩa 2

14. Johanna folds a piece of paper with the numbers 1 to 36 in half twice (see diagrams). Then she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so? (A) 8, 11, 26, 29 (B) 14, 16, 21, 23 (C) 14, 17, 20, 23 (D) 15, 16, 21, 22 (E) 15, 17, 20, 22 15. Three football teams are taking part in a tournament. Each team plays each other team once. For a win the team scores 3 points, the other team 0 points. For a draw both teams get 1 point each. Which number of points is impossible, for any team to reach at the end of this tournament? (A) 1 (B) 2 (C) 4 (D) 5 (E) 6 16. Jan sends five postcards to his friends during his holiday. The card for Michael does not have ducks. The card for Clara shows the sun. The card for Lexi shows a dog. The card for Heidi shows kangaroos. The card for Paula shows exactly two animals. Which card does Jan send to Michael? (A) (B) (C) (D) (E) - 5 Point Examples - 17. Wanda chooses some of the following shapes. She says: „I have chosen exactly 2 grey, 2 big and 2 round shapes.“ What is the minimum number of shapes Wanda has chosen? (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 18. The little caterpillar rolls up to go to sleep. What could it look like then? (A) (B) (C) (D) (E) Master Trần Đại Nghĩa 4