Problem 58: Factorial Frenzy

(moderated from @Feynmaths)

Problem 57: Reflection

Problem 56: Highest 5-digit number

by Kumi Yamashita

Using the numbers 1 to 9 one time only, a 3-digit number and a 2-digit number will be generated. Then these two numbers will be multiplied. What is highest possible product?

Problem 55: Fill in the table

Which of the following is most suitable to write instead of the question marks?

Problem 54: Isosceles Triangles

This is an isosceles triangle. Two of its sides are equal in length to each other.

How many such triangles exist given that their perimeter is 100 and all side lengths are whole numbers?

1. 24
2. 25
3. 49
4. 50
5. none

Problem 53: Number Puzzle

Retweet if you can solve the answer! pic.twitter.com/1KshVfM2x0

— Drew@Maths (@drewfoster0) June 11, 2018

Problem 52: Iceland's World Cup Adventure

http://www.goal.com/en-gb/news/russia-2018-iceland-becomes-smallest-nation-to-qualify-for-world-/1gwdmlxhdwsui1hzp4o0nu6rgz

Iceland participates to the Soccer World Cup for the first time in history. The people of this small island nation so excited.

They are going to play with Costa Rica, Argentina and Nigeria in the group stage.

Can you determine in how many different ways can they qualify to the second stage? This includes being in the top two positions. Points may vary for qualifying to the upper level. For example, consider all the games are draw. Then all teams will have 3 points each. Some other rules will be used to determine the teams which qualify.

Here are some other examples:

1. Argentina 9 points

2. Iceland 6 points

3. Nigeria 3 points

4. Costa Rica 0 points

1. Iceland 9 points

2. Costa Rica 7 points

3. Argentina 4 points

4. Nigeria 0 points

Problem 51: Missing Numbers

In this easy puzzle, you should discover the pattern and find the missing numbers.

Rich Tasks 12: Brand Logo Activity (Transformations)

You are a project designer. Your job is to analyze different logos and determine what type of transformations they used. Your assistant provided you the following table. Fill in the following table and explain the transformations.

Logo	Transformation	Description

Download the pdf

Problem 50: Number Challenge

In this number challenge you are going to start with a three digit number. Next step, you should write one less of the first number to the end and double the second and third digit and write the result to the front in the new number.

Here is an example:

1.      812

2.    247

3.     941

4.   827

5.     547

6.   946

7.    928

8.   568

9.    1364

In this example, the numbers reach to four digits in nine steps. It is not possible to reach to the ninth step every time as you can see below:

1. 124

2.480

3.1603 

Can you produce sequences of numbers continuing with more than nine numbers?

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