Practice questions for Math Kangaroo Contest preparation for Grade 11 and Grade 12 students. Here is a list of the past test papers from different countries. If you need tutor help for your kid, please sign up for a free trial session from here: https://www.homesweetlearning.com/programs/math_kangaroo_test_prep.html
Grade 11/12 Kangaroo 2005 Questions (PK)
Last modified on 2016-03-09
Which of the following numbers can be expressed as the product of four different integers, each of them greater than 1?
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Grade 11/12 Kangaroo 2006 Questions (PK)
Last modified on 2016-03-09
Given that a and b are both numbers greater than 1, which of the following fractions has the greatest value?
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Grade 11/12 Kangaroo 2007 Questions (PK)
Last modified on 2016-03-09
The sum of five consecutive integers is equal to the sum of the next three consecutive integers. The greatest of these eight numbers is:
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Grade 11/12 Kangaroo 2008 Questions (PK)
Last modified on 2016-03-09
Here are seven numbers: –9; 0; –5; 5; –4; –1; –3. We arranged six of them in groups of two so that the sum in each group is the same. Which number remains?
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Grade 11/12 Kangaroo 2009 Questions (PK)
Last modified on 2016-03-09
Mari, Ville, and Oasi went to a cafe. Each of them bought 3 glasses of juice, 2 ice creams, and 5 buns. Which of the following could be the total bill?
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Grade 11/12 Kangaroo 2010 Questions (PK)
Last modified on 2016-03-09
We throw a dice three times. If the number obtained on the third throw is equal to the sum of the numbers we obtained on the first two, what is the probability that a 2 appeared at least once?
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Grade 11/12 Kangaroo 2011 Questions (PK)
Last modified on 2016-03-09
There are some balls in a raffle bucket. One positive integer is written on each ball; all the integers are different. A number divisible by 6 is written on 30 balls, a number divisible by 7 is written on 20 balls and a number divisible by 42 is written on 10 balls. What is the smallest possible number of balls in the bucket?
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Grade 11/12 Kangaroo 2012 Questions (PK)
Last modified on 2016-03-09
Three vertices of a cube (not all on the same face) are P(3; 4; 1), Q(5; 2; 9) and R(1; 6; 5). Which point is the centre of the cube?
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Grade 11/12 Kangaroo 2013 Questions (PK)
Last modified on 2016-03-09
The regular octagon of the gure measures 10 on each side. Which is the measure of the radius of the circle inscribed in the smallest octagon formed by the diagonals?
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Grade 11/12 Kangaroo 2014 Questions (PK)
Last modified on 2016-03-09
Tom wants to write several distinct positive integers, none of them exceeding 100. Their product should not be divisible by 54. At most how many integers can he write?
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