Thomas makes a regular pentagonal picture frame as shown. He wants to paint its five sides red, yellow or green, with neighbouring sides in different colours. How many colourings are there, if turning or flipping the frame counts as the same colouring, as illustrated?
Lan draws the circular plate design shown on very thin paper, so every line can be seen from the other side. Which picture shows the design when viewed from the back of the paper?
Mai has 25 flowers. She wants to tie them into bouquets, with the same number of flowers in every bouquet. Which of these numbers of bouquets can she make?
The cards in the top row read K A N G A R O O, and those in the bottom row read N R O A O K A G. Identical cards in different rows are joined by a straight segment. What is the largest number of segments that can be drawn without intersecting?
Mi has two identical squares. She cuts one square into two pieces, leaving the two shapes shown. Which option is the piece cut off from the square on the right?
Ben and Ann are lost in the maze shown. Ben follows rectangles and Ann follows triangles. Help them reach the exit by adding rectangles and triangles. What is the smallest number of rectangles and triangles that must be added?
Ben builds a 3-by-3-by-3 cube from equally sized white and grey cubes as shown. No two cubes sharing a face have the same colour. Which colour is used more?
Two seahorses, 1 starfish and 3 fish hide in a cave. Then 5 seahorses, 3 starfish and 4 jellyfish enter the same cave. How many animals are hiding there altogether?
Grandfather Kangaroo joins the jumping competition. He moves 2 or 3 cells in each jump; his grandchild still moves 1 cell per jump. Both move to the right. At which numbered cell can Grandfather catch the grandchild earliest?
Six colourful elephants stand in a straight queue to buy cinema tickets.
1. What colours are the elephants at the front and at the back, respectively?
2. What colours are the elephants behind the yellow elephant and ahead of the orange elephant?
3. What colours are the elephants between the black and white elephants?
4. One elephant is behind yellow, ahead of orange, and between black and white. What colour is it?
5. Six elephants A,B,C,D,E,F queue for tickets. F is behind E and ahead of C, and F is between D and A. D is at the front and B at the back. What position does F occupy?
In the cats’ kingdom, the pictured coin is used for buying and selling. The shop sells fish for 2 coins each and grass for 5 coins a bundle. How many coins must Tom pay for 3 fish and 1 bundle of grass?