International Junior Math Olympiad Grade2_12 on Day:.........Month:..........Year:...........


Total Core =

  • Question 1: How many ways can we arrange the letters of SIMSO?
  • Question 2: At Angelo's Ice Cream Shop, there are 5 flavors of homemade ice cream vanilla, chocolate, caramel, strawberry and mango. You can choose to have your ice cream in a dish or in a cone. How many possible ice cream orders are there?
  • Question 3: The valleyball team is choosing a uniform. They can pick yellow or pink shirts for the tops and gray or black jogging pants for the bottoms. Assuming all colors go together, how many different combinations can they pick?
  • Question 4: How many counting numbers from 1 to 100 are not even?
  • Question 5: How many ways can you arrange 4 people in a line?
  • Question 6: Using Pi = 22/7, what is the perimeter of a circle with radius 42 cm?
  • Question 7: A regular polygon is a polygon whose sides and angles have equal measure. A regular pentagon has a side length of 5, a regular hexagon has a side length of 4, and a regular octagon has a side length of 3. Which of the three polygons has the largest perimeter?
  • Question 8: A triangle is cut as shown below (not drawn to scale). If the perimeter of the triangle is 10 cm and the length of the cut is 4 cm, what is the total perimeter of the two new shapes formed?
  • Question 9: Using Pi = 22/7, find the area between two concentric circles (i.e. circles having the same center) if the larger circle has radius 12 cm and the smaller circle has radius 5 cm.
  • Question 10: Teacher Mai is painting her classroom. She has orange, green, and purple paint. She plans to use one color as a base coat and stencil a design with another. How many different ways can she do this?