2009 Benjamin Test | Test and Chat

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2009 Benjamin (Grade 5 - 6)

Questions: 24 | Answered: 0

Q1. Where is the Kangaroo?

3 points

ABCDE

Question 1

Q2. appear in all room numbers of the hotel?

3 points

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Question 2

Q3. How many Natural numbers lie between 2·009 und 23·03?

3 points

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Question 3

Q4. What is the minimum number of digits that must be removed from the number 12323314, so that the resulting number is the same when read from either left to right or right to left?

3 points

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Question 4

Q5. In front of me there are three boxes, one white, one red and one green. In one box there is a chocolate bar, in another an apple and one box is empty. The chocolate bar is in either the white or red box. And the apple is in neither the white or the green box. In wh ich box is the chocolate bar?

3 points

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Question 5

Q6. How many faces has the object shown? (Prism with a hole)

3 points

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Question 6

Q7. The diagram shows squares of different sizes. The side length of the smallest square is 20 cm. How long is the black line?

3 points

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Question 7

Q8. The different digits are build using sticks as shown. The “ weight ” of a number describes the number of sticks used to build it. H ow heavy is the heaviest two digit number?

3 points

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Question 8

Q9. A bridge is being build over a 120m wide river. One quarter of the bridge continues on land on the left bank, another quarter continues on land on the ri ght bank. How long is the bridge?

4 points

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Question 9

Q10. In a park there are some cats and dogs. The number of cats feet is double the size of the number of dogs noses. The number of cats is …… ??? …… . of the number of dogs .

4 points

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Question 10

Q11. Which of the following is made using more than one piece of string?

4 points

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Question 11

Q12. The quadrilateral on the right has the following side lengths: AB = 11, BC =

4 points

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Question 12

Q13. In a dance group there are 39 boys and 23 girls. Every week 6 more boys and 8 more girls join the group. After a few weeks there will be the same number of boys as girls in the dance group. How many boys and girls will be in the dance group at that time?

4 points

ABCDE

Question 13

Q14. The „ tower “ in the diagram on the left is made up of a sqaure, a rectangle and an equlateral triangle. Each of those three shapes has the same perimeter. The side length of the square is 9cm. How long is the side of the rectangle indicated?

4 points

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Question 14

Q15. We want to build a box with the measurements 40 × 40 × 60 using all identical cubes. What is the minimum number of cubes needed ?

4 points

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Question 15

Q16. Today i s Sunday. Francis starts to read a book with 290 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages, with no exception. How many days does it take him to read the entire book?

4 points

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Question 16

Q17. Two rectangles with measurements 8 × 10 and

5 points

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Question 17

Q18. Eight cards that are numbered 1 to 8 are inside two boxes A and B so that the sum of the cards in both boxes is identical. If there are exactly 3 cards in box A then which of the following statements is definitely true:

5 points

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Question 18

Q19. Andrea, Branimir, Celestin and Doris (but not necessarily in this order) are ranked one to four in a fencing tournament. If you add Andrea ’ s, Branimir ’ s and Doris ’ rank, your total is 6. You obtain the same number if you add Branimir ’ s and Celestin ’ s rank. Who won the tournament, if Branimir did better than Andrea?

5 points

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Question 19

Q20. In the diagram o pposite there is an object with 6 triangular faces. On each corner there is a number (two are shown). The sum of the numbers on the corners of each triangle is the same. What is the sum of all 5 numbers?

5 points

ABCDE

Question 20

Q21. The rooms in a hotel are numbered with three digit numbers each. The first digit determines the floor and the last two digits the st number of the room on each floor; e.g. room 125 is on the 1 floor, room number 25. The hotel has 5 floors (from 1 to 5) and 35 rooms on e ach floor, i.e. st on the 1 floor you have room numbers 101 to 135 etc. How often does the digit

5 points

ABCDE

Question 21

Q22. ABCD is a square with side length 1 0cm. The distance of N to M measures 6cm. Each area not shaded grey is either a sqaure or an isosceles triangle. How big is the area shaded in grey?

5 points

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Question 22

Q23. In the diagram on the left the total of each row and column is given. What is the value of ?

5 points

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Question 23

Q24. We want to paint each square in the grid with the colours A, B, C and D, so that neighbouring squares always have different colours. (Squares which sh are the same corner point also count as neighbouring.) Some of the squares are already painted. In which colour(s) could the grey square be painted?

5 points

ABCDE

Question 24

2009 Benjamin Test | Test and Chat