Đề thi IKMC lớp 5 - 6 năm 2024

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ĐỀ THI IKMC LỚP 5-6 NĂM 2024

1. Kangaroo Joey wants to jump through the maze. Joey starts in the square on the bottom left (see picture). The number of arrows decides how long the jump must be. A square with three arrows means that Joey has to jump over two squares in the direction of the arrows and land in the third square. Where will Joey leave the maze?

A. A B. B C. C D. D E. Joey cannot leave the maze anywhere.

2. The picture shows the foot prints of the first few jumps of 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 arrow. In which of the following squares is Mia allowed to land with her right foot only?

A. square no. 10 B. square no. 1 C. square no. 20 D. square no. 22 E. square no. 23

3. Dina has 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?

A. B. C. D. E.

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4. 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?

A. 6cm B. 7cm C. 8cm D. 9cm E. 10cm

5. Pieter has a parcel that weighs 445 g and the following eight weights: He places the parcel on the right scale pan (see picture). Pieter is allowed to place weights on either side of the scale. What is the minimum number of weights that he needs to balance the scale?

A. 2 B. 3 C. 4 D. 5 E. 6

6. Werner has 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?

A. B. C. D. E.

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7. Two children are flying their kites. Which picture fits into the empty space so that each child is holding one kite?

A. B. C. D. E.

8. There are eight boxes on a lorry (see picture). A worker unloading the lorry is not allowed to pick up a box that has another one lying on top. He places every box either on the floor or on top of another box. Each box is only to be touched once. Which one of the following towers can the worker not build?

A. B. C. D. E.

9. Pia writes a number into each of the 16 little circles (see picture). Numbers 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 different numbers does Pia write in the 16 circles?

A. 9 B. 10 C. 13 D. 14 E. 15

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10. 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?

A. 2 24cm B. 2 27cm C. 2 30cm D. 2 33cm E. 2 36cm

11. 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 and the digit ‘5’ 3 times. What is the biggest possible room number in this hotel?

A. 25 B. 26 C. 34 D. 35 E. 41

12. 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 lengths of the small grey squares are stated in the drawing. What is the perimeter of the white shape?

A. 36 B. 40 C. 44 D. 48 E. 52

13. The number 2024 is made up of the four digits 2, 0, 2 and 4. How many different four-digit numbers bigger than 2024 can be formed with exactly those digits?