MATH KANGAROO 3-4

Cindy colors each region on the pattern red, blue, or yellow. She colors regions that touch each other with different colors. She colors the outer ring (region) of the pattern red. How many regions does Cindy color red?

Linda pinned up 3 photos in a row on a cork board using 8 pins. Peter wants to pin up 7 photos in the same way. How many pins does he need?

Roberto makes designs using tiles made up of two squares as shown. How many of the 5 designs is it possible to make?

Loes looks at the pyramid from above. What does Loes see?

Dennis wants to remove one cell from the first shape shown. How many of the shapes shown below it can he get?

Albert fills the grid with the five figures shown below. Each figure appears exactly once in every column and every row. Which figure must Albert put in the cell with the question mark?

Dennis ties his dog 1 meter from a corner of a 7-meter by 5-meter hut as shown in the picture. He uses an 11-meter-long leash. Dennis places 5 treats as shown. How many of the treats can the dog reach?

Six strips are woven into a pattern as shown below. What does the pattern look like from the back?

Tom cuts two kinds of shapes out of grid paper as shown below. What is the smallest number of shapes that Tom needs in order to exactly cover the boat in the picture?

Lonneke builds a fence using 1-meter-long poles. The second picture shows a 4-meter-long fence. How many poles does Lonneke need to build a 10-meter-long fence?