IKMCOfficial Paper

Official Paper IKMC 2018 - Junior

The official 2018 paper. Practise with a timer, automatic marking and a question by question review.

Time limit

180 minutes

Questions

30 questions

Maximum score

150 points

Question type

Multiple choice

How this paper is marked

1You start with 30 points, so your score cannot go negative.
2A wrong answer loses ¼ of that question points. Leaving it blank costs nothing.

Question 1 of 303 points

In my family each child has at least two brothers and at least one sister. What is the smallest possible number of children in my family?

Question 2 of 303 points

How many of the numbers a)

2^{100} + 2^{102}

, b)

3^{100} + 3^{102}

, c)

5^{100} + 5^{101}

, d)

9^{100} + 9^{101 }

are multiples of 10?

28 more questions are waiting for you.

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