IKMCOfficial Paper

Official Paper IKMC 2021 - Student

The official 2021 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.

Preview a few questions

Question 1 of 303 points

A large square is divided into smaller squares, as shown. A shaded circle is inscribed inside each of the smaller squares. What proportion of the area of the large square is shaded?

A $\frac{8\pi}{9}$
B $\frac{13\pi}{16}$
C $\frac{3}{\pi}$
D $\frac{3}{4}$
E $\frac{\pi}{4}$

Question 2 of 303 points

How many integers are in the interval

(20 - \sqrt{21}, 20 + \sqrt{21})

28 more questions are waiting for you.

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