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2024 Benjamin (Grade 5 - 6)
Questions: 24 | Answered: 0
Q1. Kangaroo Joey wants to jump through the ma ze. Joey starts in the square on the bottom le f t (see picture) . The number of arrows decides how long th e jump must be. A square with three arrows means that Joey has to jump over two squares in the direction of the arrow s and land in the third square. W here will Joey leave the maze ?
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Q2. The picture shows the foot prints of the first few jump s o f a type of hopscotch . The prints show whether one is allowed to land in that square with the left foot , the right foot or both feet. Mia starts with both feet in the field with the number 1 and repeats the jumping pattern in the direction of the ar row . In which of the following squares is Mia allowed to land with her right foot only ?
3 points
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Q3. Dina ha s placed three building blocks behind a wall. From the front , the arrangement looks as shown in the picture on the right. What does the arrangement look like from behind ?
3 points
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Q4. Mona wants to draw the figure shown without lifting her pen. The lengths of the segments are known. Mona can start her drawing anywhere and go over segments more than once. What is the minimum distance in cm that Mona has to move her pen across the paper ?
3 points
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Q5. Pieter has a parcel that weighs 445 g and the following eight weights : He places the parcel on th e right scale pan (see picture) . Pieter is allowed to place weights on either side of th e scale . What is the minimum number of weights tha t he needs to balance the scale ?
3 points
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Q6. Werner ha s a circular transparent piece of paper with some holes and lines . He folds it along the dashed line . What does the folded paper look like ?
3 points
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Q7. Two children are flying their kite s . Which picture fits into the empty spa c e so that each child is holding one kite ?
3 points
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Q8. There are eight boxes on a lorry (see picture). A worker unload ing the lorry is not allowed to pick up a box that has another one lying on top. He places every box ei ther on the floor or on top of another box. Each box is only to be touched once . W hich one of the following towers can the worker not buil d ?
3 points
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Q9. Pia writes a number into each of the 16 little circles (see picture) . Number s in neighbouring circles differ by 1. She writes the number 5 into one of the circles and the number 13 into another one. How many differ e nt numbers does Pia write in the 16 circles ?
4 points
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Q10. The picture on the right is 45 cm wide, 30 cm high and made up of identical rectangles . What is the area of one such rectangle ?
4 points
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Q11. The rooms in a hotel are numbered in ascending order (No. 1, 2, 3, ...) . No number is left out . Beaver Benji counts the digits of all the room numbers and finds the digit ‘2’ 14 times a nd the digit ‘ 5 ’ 3 times. What is the biggest possible room number in this hotel ?
4 points
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Q12. Christian cuts out four small grey squares from one big square. The white shape remains (see picture). This shape has half the area of the big square . The side leng t hs of the small grey squares are state d in the drawing. What is the perimeter of the white shape ?
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Q13. The number 2024 is made up of t he four digits 2, 0, 2 a nd 4. How many different four - digit numbers bigger than 2024 can be formed with exactly those digits ?
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Q14. Simon has four cups with matching saucers (see picture). H e places a randomly chosen cup o n each saucer . Which statement is definitely true ?
4 points
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Q15. The picture on the right shows four rectangles that touch eac h other . W hat is the are a of the rectangle with the question mark ?
4 points
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Q16. Blind people use Braille, in which numbers and letters are displayed as a code with up to 6 tactile dots (black in the picture). The numbers 0 to 9 can be seen on the right. How many two - digit numbers have exactly four black dots ?
4 points
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Q17. The two large squares have the same area. Parts of them are colo u red gr e y (see picture). In the left square, the dots divide the sides into two equal pieces. In the right square, the dots divide the sides into three equal pieces. The four grey parts in the left square have a combined area of 9 cm 2 . What is the area of the four grey parts in the right squa re ?
5 points
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Q18. Annie wants to write the numbers 1 to 10 in the ten circles (see picture on the right). Each circle should have a different number. Annie wants the sum of the four numbers along each line to be exactly 23 . W hich number does she have to write in the circle with the question mark ?
5 points
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Q19. The map shows the seven subway lines of a city. The stations are represented by circles. Martin wants to colour in the subway lines in the plan. If two lines have a common station, they must have different colo u rs. What is the smallest number of different colo u rs he can use?
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Q20. Dimitri wants to fold the shown net into a cube. If two areas share an edge, the triangles that are next to each other should have the same colo u r. How does he have to paint the triangles of the white square ?
5 points
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Q21. Mary wan ts to write the numbers 1 to 8 i n the corners of the cube. For each of the six side s , the sum of the four numbers at the corners should be the same. She has already entered the numbers 6, 7 and 8 (see picture). What number does Mary have to write in the corner with the question mark?
5 points
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Q22. Daniel wants to cut a rope into 12 equal pieces and marks the places where he has to cut. Mohammed wants to cut the same rope into 16 equal pieces and marks the cuts as well. Maya finally cuts the rope at all the marked spots. How many pieces does Maya get ?
5 points
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Q23. The following image shows a honeycomb with 16 cells. Some cells (but not all) are filled with honey. The numbers in the cells indicate how many of the neighbo u ring cells are filled with honey. How many cells of the honeycomb are filled with honey?
5 points
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Q24. There are three identical dice on a table. What is the sum of the three numbers that are on the bottom of the dice and touch ing the table?
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