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2021 Benjamin (Grade 5 - 6)
Questions: 24 | Answered: 0
Q1. Which of the following solid shapes can be made with these 6 bricks ?
3 points
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Q2. In how many places in the picture are two chil- dren holding each other with their left hands?
3 points
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Q3. In the square you can see the digits from 1 to 9. A number is created by starting at the star, following the line and writing down the digits along the line while passing. For example , the line shown represents the number 42685. Which of the following lines represents the largest number?
3 points
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Q4. Sofie wants to write the word KENGU by using letters from the boxes. She can only take one letter from each box. What letter must Sofie take from box 4?
3 points
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Q5. When the 5 pieces are fitted together correctly, the result is a rec- tangle with a calculation written on it. What is the answer to this calculation?
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Q6. My little brother has a 4 - digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of t he following CAN- NOT be the correct combination of my brother's lock?
3 points
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Q7. Each shelf holds a total of 64 deciliters of apple juice. The bottles have three different sizes: large, medium and small. How many deciliters of ap ple juice does a medium bottle contain?
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Q8. A large cube has side - length 7cm. On each of its 6 faces, the two diagonals are drawn in red. The large cube is then cut into small cubes with side - length 1cm. How many small cubes will have at least one red line drawn on it?
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Q9. Mary had a piece of paper. She folded it exactly in half. Then she folded it exactly in half again. She got this shape . Which of the shapes P, Q or R could have been the sh ape of her original piece of paper?
4 points
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Q10. There is a square with line segments drawn inside it. The line segments are drawn either from the verti- 1 ces or the midpoints of other line seg ments. We colo u red of the large square. Which one is our coloring? 8
4 points
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Q11. The number 5021972970 is written on a sheet of paper. Julian cuts the sheet twice , so he gets 3 num- bers. What is the smallest sum he can get by adding these 3 numbers?
4 points
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Q12. The map shows three bus stations at points A, B and C. A tour from station A to the Zoo and the Port and back to A is 10 km long. A tour from station B to the Park and the Zoo and back to B is 12 km long. A tour from station C to the Port and the Park and back to C is 13 km long. Also , A tour from the Zoo to the Park and the Port and back to the Zoo is 15 km long. How long is the shortest tour from A to B to C and back to A?
4 points
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Q13. Rosa wants to start at the arrow, follow the line, and get out at the other arrow. Which piece is it NOT possible to put in the middle to obtain that?
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Q14. The diagram shows 3 hexagons with numbers at their vertices, but some numbers are invisible. The sum of the 6 numbers around each hexagon is 30. What is the number on the vertex marked with a question mark?
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Q15. 3 rectangles of the same height are positioned as shown. The numbers within the rectangles indicate their areas in cm 2 . If AB = 6 cm, how long is the distance CD ?
4 points
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Q16. A triangular pyramid is built with 10 identical balls, like this . Each ball has one of the letters A, B, C, D and E on it. There are 2 balls marked with each letter. The picture shows 3 side views of the pyramid. What is the letter on the ball with the q uestion mark?
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Q17. Ronja had four white tokens and Wanja had four grey tokens. They played a game in which they took turns to place one of their tokens to create two piles. Ronja placed her first token first. Which pai r of piles could they not create?
5 points
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Q18. Three pirates were asked how many coins and how many di- amonds their friend Graybeard had. Each of the three told the truth to one question but told a lie to the other. Their answers are written on the piece of paper pictured. What is the total num- ber of coins and diamonds that Graybeard has?
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Q19. There were 20 apples and 20 pears in a box. Carl randomly took 20 pieces of fruit from the box and Luca took the rest. W hich of the following statements is always true?
5 points
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Q20. In a railway line between the cities X and Y, the trains can meet, traveling in opposite directions, only in one of its stretches, in which the line is double. The trains take 180 minutes to go from X to Y and 60 minutes to go from Y t o X, at constant speeds. On this line, a train can start from X at the same instant that a train starts from Y, without them colliding during the trip. Which of the following figures represents the line?
5 points
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Q21. Ann, Bob, Carina, Dan and Ed are sitting at a round table. Ann is not next to Bob, Dan is next to Ed and Bob is not next to Dan. Which two people are sitting next to Carina?
5 points
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Q22. Maurice asked the canteen chef for the recipe for his pancakes. Maurice has 6 eggs, 400g flour, 0,5 liters of milk and 200g butter. What is the largest number of pancakes he can make using this recipe?
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Q23. The picture shows 3 gears with a black gear tooth on each. Which picture shows the cor- rect position of the black teeth after the small gear has turned a full turn clockwise?
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Q24. An apple and an orange weigh as much as a pear and a peach. An apple and a pear weigh less than an orange and a peach, and a pear and an orange weigh less than an apple and a peach. Which of the pieces of fruit is the heaviest?
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