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2010 Benjamin (Grade 5 - 6)
Questions: 24 | Answered: 0
Q1. Given that ▲ + ▲ + 6 = ▲ + ▲ + ▲ + ▲ . which number should replace ▲ ?
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Q2. The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5?
3 points
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Q3. Kangi goes directly from the zoo to school (Schule) and counts the flowers along the way. Which of the following numbers can he not obtain this way? Zoo Schule
3 points
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Q4. A staircase has 21 steps. Nick and Mike c ount the steps; one from botton to top and the other from top to bottom. They meet at one st ep which Nick indicate s as the 10th. As which number does Mike indicate this step?
3 points
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Q5. Anna has connected all the uppe r and lower points with straight lines. How many lines has she drawn?
3 points
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Q6. A fly has 6 legs and a spider has 8. Together , 2 flies and 3 spiders have as many legs as 10 birds and.........
3 points
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Q7. In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved?
3 points
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Q8. lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which lines were the cuts made
3 points
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Q9. What is the perimeter of the figure shown (all angles are right angles)?
4 points
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Q10. In the following figures you see five elastic bands, only one of which is tied in a knot. Which one?
4 points
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Q11. Which of the following expressions has a value that differs from the others?
4 points
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Q12. grams in total. (The weight of the sticks and threads is not taken into account.) How mu ch does the star weigh?
4 points
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Q13. Benjamin chooses a number, divides it by 7, adds 7 to the re sult and multiplies that result with 7. He obtains the number 777. Which number did he start with?
4 points
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Q14. The numbers 1, 4, 7, 10 and 13 should be written into the squares so that the sum of the three numbers in the horizontal row is equal to the sum of the three numbers in the vertical column. What is the largest possible value of these sums?
4 points
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Q15. In order to produce a newspaper w ith 60 pages, you need 15 sheets that are stuck within each other. In one such news paper page 7 is missing. Which other pages are also missing from this newspaper?
4 points
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Q16. In the adjacent picture we see that 1+3+5+7 = 4 × 4. How big is
4 points
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Q17. Lydia draws a flower with 5 pe tals. She wants to colour in the flower using the colours white and black. How many different flowers can she draw with these tw o colours if the flower can also be just one colour?
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Q18. 3.2010 Categorie: Benjamin, Grades: 5-6 Name: School: Class: Time allowed: 60 min. Each correct answer, questions 1.-8.: 3 Points Each correct answer, questions 9.-16.: 4 Points Each correct answer, questions 17.-24.: 5 Points Each question with no answer given: 0 Points Each incorrect answer: Lose ¼ of the points for than question. You begin with 24 points. Please write the letter (A, B, C, D,
5 points
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Q19. The picture shows a hanging mobile. The mobile weighs
5 points
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Q20. In a pizzeria there is a ba sic pizza with tomato and cheese that can be ordered with onl y one or two of the following toppings: anchovies, artichokes, mushrooms or cap ers. The pizza comes in three sizes. How many different types of pi zza are offered in total?
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Q21. In order to decide who will get the last pi ece of Leni’s birthday cake, five children use a rhyme. Leni, Sara, Hannes, Petr a and Arno stand in this order, clockwise in a circle. They count in a clockwise direction: KAN – GA – ROO – OUT – ARE – YOU. For each syllable one child is counted and whoever is counted at YOU is out. They continue this until only one child is left. Leni can choose who starts. Who does she have to choose if she wants Arno to get the piece of cake?
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Q22. In the multiplication of a three-digit number with a single-digit number PPQ × Q = RQ5Q, P, Q and R represent different digits. P + Q + R =
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Q23. In the grid, how many grey squares have to be coloured white, so that in each row and each column th ere is exactly one grey square?
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Q24. Six-legged, seven-legged a nd eight-legged octopuses serve Neptune, the king of the sea. The seve n-legged ones always lie and the six-legged and eight-ledded ones always speak th e truth. One day four octopuses meet. The blue one says: „We have 28 legs altogether.“ The green one says: „We have 27 legs altogether.“ The yellow one says: „We have 26 le gs altogether.“ The re d one says: „ We have
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