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2016 Benjamin (Grade 5 - 6)
Questions: 24 | Answered: 0
Q1. W hich of the following road signs has the most axes of symmetry ?
3 points
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Q2. Mike cuts a pizza into four equally big pieces. Then he cuts each piece into three equally big pieces . In to how many equally big pieces did Mike cut the pizza ?
3 points
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Q3. A 10 cm l o ng piece if wire is folded so that every part is equally long (see diagram). The wire is then cut through in the two positions marked . How long are the three pieces created in this way ?
3 points
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Q4. Lisa has mounted 7 postcards on her fridge door using 8 strong magnets (black dots) . W hat is the maximum am ount of magnets she can remove without any postcards falling on the floor ?
3 points
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Q5. Kathi draws a square with side length 10 cm. Then she joins the midpoints of each side to form a smaller square . W hat is the area of the smaller square ?
3 points
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Q6. Maria wants there to be a knife to the right of every plate and a fork to the left of it . In order to get the right order she always swaps one fork with one knife . What is the minimum number of swaps necessary ?
3 points
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Q7. A centipede owns 25 pairs of shoes . He needs one shoe for every one of his 100 feet . How many more single shoes does the centipede still need to buy ?
3 points
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Q8. Four girls are sleeping in a room with their heads on the grey pillows . Bea a nd Pia are sleeping on the left hand side of the room with their faces towards each other ; Mary a nd Karen are on the right hand side with their backs towards each other . How many girls sleep with their right ear on the pillow ?
3 points
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Q9. The given net is folded along the dotted lines to form an open box . The box is place d on the tab le so that the open ing is on the top . Which side is facing the table ?
4 points
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Q10. Robert has two equally big squares made of paper . He glues them together . W hich of the following shapes can he not make ?
4 points
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Q11. Mona, Asma a nd Nadja work in the same nursery . On each day from Monday to Friday exactly two of them are working. Mona works three times and Asma works four times per week . How many times does Nadja work per week ?
4 points
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Q12. F ive squirrels A, B, C, D a nd E are sitting on the points marked . The crosses indicate 6 nuts that they are collecting. The squirrels start to run at the same time with the same speed to the nearest nut in order to pick it up . As soon as a squirrel has picked up the first nut it immediately continues to run in order to get another nut . W hich squirrel gets a second nut ?
4 points
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B
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Q13. T here are 30 girls and boys i n a class . Always two students share a desk . Every boy shares a desk with a girl. Exactly half the girls share a desk with a boy . How many boys are in the class ?
4 points
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Q14. Hansi writes the number 2581953764 on a strip of paper . Twice he cuts through the strip of paper between two digits and obtains three number s which he adds . How big is the smallest sum he can obtain in this way ?
4 points
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Q15. Bart sit s at the hairdressers . In the mirror he sees a clock as shown in the diagram : W hat was the mirror image of the clock 10 minutes earlier ?
4 points
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Q16. W hat is the maximum number of such pieces that can be cut from a 5 x 5 square ?
4 points
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Q17. Tim, Tom a nd Jim are triplets . Their brother Carl is exactly 3 years younger . All four are having thei r b i r thdays today . How old can the four brothers be altogether ?
5 points
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Q18. Richard writes down all numbers that have the following properties : The first digit is 1. Each of the follow i n g digits is at least as big as the previous one . The sum of the digits is 5. How many such numbers can Richard write down ?
5 points
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Q19. The p e r imeter of the rectangle ABCD is 30 cm. Three more rectangles are added so tha t their centres are in the corners A, B a nd D and their sides are parallel to the rectangle (see diagram ). The sum of the perimeters of these three rectangles is 20 cm. W hat is the length of the boarder of the shape ( thick black line )?
5 points
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Q20. Luigi owns a few square tables and some chairs for his little restaurant . If he sets out his tables individually with 4 chairs each, then he is 6 chairs short. If he always puts two tables toge ther to create a bigger table with 6 chairs, then he has 4 chairs left over. How many tables does Luigi have ?
5 points
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Q21. Clara forms one big triangle made up of identical little triangles . S he has already put some triangles together (see diagram ). What is the minimum number of little triangles she has to add ?
5 points
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Q22. Kirsten ha s written numbers into 5 of the 10 circles . She wants to write numbers into the remaining circles so that the sum of the three numbers along every side of the pentagon is always the same . W hich number does she have to write into the circle marked X ?
5 points
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Q23. The s ymbo l s , a nd represent three different digits . If the digits of the number a re a dde d , you receive the two - digit number . If the digits of the two - digit number a re a dde d , you receive the single - digit number . W hich digit is represented by ?
5 points
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Q24. Two three - digit numbers are made up of six different digits. The first digit of the second number is twice as big as the last digit of the first number . ( Note : 0 is also a digit but cannot be the first digit of a number !) How big is the smallest possible sum of the two numbers ?
5 points
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2016 Benjamin Test | Test and Chat