Đề thi Toán IKMC 2022 Cấp độ Benjamin, Khối 5-6 (Có đáp án

 KÄNGURU DER MATHEMATIK 2022 
 17. 3. 2022 
 Level: Benjamin, Grades 5 - 6 
Name: 
School: 
Class: 
 Time: 60 min. 
 24 starting points 
 each correct answer to questions 1. – 8.: 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 ẳ 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! 
 1 2 3 4 5 6 7 8 
 9 10 11 12 13 14 15 16 
 17 18 19 20 21 22 23 24 
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 - 4 Point Examples - 
9. The sides of the square ABCD are 10 cm long. 
 What is the total area of the shaded part? 
 (A) 40 cm² (B) 45 cm² (C) 50 cm² (D) 55 cm² (E) 60 cm² 
10. Five big and four small elephants are marching along a path. 
 Since the path is narrow the elephants cannot change their order. 
 At the fork in the path each elephant either goes to the right or to the left. 
 Which of the following situations cannot happen? 
 (A) (B) (C) (D) (E) 
11. Marc builds the number 2022 as seen in the picture by glueing together 66 cubes of 
 the same size. Afterwards he paints the entire surface of his work. 
 On how many of the 66 cubes has Marc painted exactly four faces? 
 (A) 16 (B) 30 (C) 46 (D) 54 (E) 60 
12. In a box-shaped water tank with dimensions 4 m x 2 m x 1 m, 
 the height of the water is 25 cm. 
 The tank is then turned on its side (see picture on the right). 
 How high is the water in the tank now? 
 (A) 25 cm (B) 50 cm (C) 75 cm (D) 1 m (E) 1.25 m 
13. Some art work can be seen on a square-shaped transparent piece of foil. 
 The foil is folded over twice as shown in the diagram. 
 What does the foil look like after it has been folded over twice? 
 (A) (B) (C) (D) (E) 
14. The year 2022 has three equal digits. 
 This is the third time that Tortoise Eva has experienced a year where the same digit appears three times. 
 What is the minimum age that tortoise Eva can be this year? 
 (A) 20 (B) 22 (C) 23 (D) 56 (E) 134 
15. Four circles are always connected by a line to form chains of four in a drawing. 
 The numbers 1, 2, 3 and 4 appear in each row, each column and each chain of four. 
 Which number is in the circle with the question mark? 
 (A) 1 (B) 2 (C) 3 (D) 4 (E) This cannot be determined. 
16. Lisa has four differently heavy dogs. Each dog weighs a whole number of kilograms. 
 All dogs together weigh 60 kg. The second heaviest dog weighs 28 kg. 
 How heavy is the third heaviest dog? 
 (A) 2 kg (B) 3 kg (C) 4 kg (D) 5 kg (E) 6 kg