Math Kangaroo Grades 9-10 (Full Solutions 2022)

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Errata:
04:18 - Q1-4 - Correct answer is 3 or (C). I made a mistake in the final counting - I counted 2 instead of 3 :( Thank you @PixelNomad99 for pointing it out!

Contents:
00:00 - Intro
00:02 - Q1-1 What is ...​
00:46 - Q1-2 Karo has a box of matches with 30 matches. ...
01:50 - Q1-3 An equilateral triangle with side length 12 has ...
02:44 - Q1-4 Various symbols are drawn on a piece of paper (see picture). ...
04:21 - Q1-5 Karin places tables of size 2 × 1 according to ...
05:35 - Q1-6 I am smaller than my half and bigger than my double.
08:12 - Q1-7 The midpoints of both longer sides of ...
10:04 - Q1-8 Sonja's smartphone displays the diagram on the right. ...
11:40 - Q1-9 In the multiplication grid displayed, each white cell should ...
12:55 - Q1-10 There are 5 people to choose from on a ballot paper. ...
15:01 - Q2-1 Five squares and two right-angled triangles are ...
16:29 - Q2-2 2022 tiles are placed in one long row. ...
18:44 - Q2-3 The diagram shows three big circles of ...
20:30 - Q2-4 A bee called Maja wants to hike from ...
22:33 - Q2-5 The sum of two positive integers is three ...
24:50 - Q2-6 The rectangle 𝐴𝐵𝐶𝐷 is made up of 12 congruent ...
26:55 - Q2-7 A rabbit and a hedgehog enter a race against each other. ...
30:20 - Q2-8 The grandchildren ask their grandma how old she is. ...
32:50 - Q2-9 There are three paths running through our ...
37:05 - Q2-10 The diagram shows a square 𝑃𝑄𝑅𝑆 with side length 1. ...
41:08 - Q3-1 Once I met six sisters whose ages were six ...
45:16 - Q3-2 (Approach 1) Veronika wears five rings as shown. ...
47:10 - Q3-2 (Approach 2)
49:57 - Q3-3 One square is drawn inside each of the two ... (*** there is an easier solution by @ZEPHYRZHANG-mg8zi in the comment section!)
55:46 - Q3-4 In a certain city the inhabitants only communicate by ...
58:53 - Q3-5 Twelve weights have integer masses of ...
01:02:58 - Q3-6 The diagonals of the squares ...
01:06:00 - Q3-7 The product of the digits of a number 𝑁 is 20. ...
01:09:42 - Q3-8 Consider the five circles with midpoints ...
01:14:58 - Q3-9 Eight teams take part in a football tournament where ...
01:20:57 - Q3-10 A hemispheric hole is carved into each face of a ...
01:23:13 - End

Notice:
The questions provided here are sourced from previous Math Kangaroo tests. We are an independent entity, not affiliated with Math Kangaroo.

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