Problem 133: How many 5s?

How many 5s?



source: Jonathan Hall

Problem 132: Simple Substitution

Find the value of f, if :

Problem 131: Quarter final combinations

Four English teams have progressed to the Champion's League quarter-finals. What is the probability of an all-English tie?















Hint 1
Hint 2
Hint 3

Problem 130: Dividing 3 units into 4

via Matematik Dunyasi

Rich Tasks 68: 2020

2020

Number 2020 - Facts about the integer

Problem 129: Congruent rectangles

Three Congruent Triangles. What is the angle?

source: Catriona Shearer

Rich tasks 67: Hospitals and Ambulances

Rich Tasks 66: How many ways to fix?

In how many different ways can you fix this? You are allowed to use one extra matchstick and you can do 1 move at most.






Some solutions...

11 in base 2 equals to 3

Can there be more solutions?

Rich Tasks 65: What Mathematics Do You See In This Picture?

Math Pics 17: Euler Diagrams

 

Resource, Resource2

Rich Tasks 64: Introduction to Logs

Problem 128: Function in the function

Rich Tasks 63: Radical Activity 2

Rich Tasks 62: Radical Activity

 

Problem 128: Arithmetic Puzzle

Problem 127: Decimals and Number Bases

Rich Task 61: Exponents and Personal Life

inspired from 

Rich Task 60: Pattern with Cubic Numbers

Rich Task 59: Cyrillic-Latin and Greek Alphabets

Draw a Venn diagram with three sets, which each set represents one of the Greek, Cyrillic or Latin alphabets. Then fill in the regions.

Problem 126: A Beautiful similarity Problem

from @_WTProject

The fraction of the regular hexagon that is shaded is 5/24. What is the ratio red:orange?

Math Pics 16: The Pentagram and the Golden Ratio

Problem 125: Million Dollar Question

Math Pics 15: Van Eck's Sequence

Problem 124: SQRT 2

Problem 123: Squares

The side lengths of the three squares are consecutive integers. What’s the total area?

Source Catriona Shearer

Problem 122: Square Root Graph Puzzle

Find the values of a, b, c and d. (All triangles are equilateral)

Resource: Diego Rattagi

Problem 121: Who Gets the Most Amount?

Photo by Ibrahim Rifath on Unsplash

An amount of money is distributed among some people in such a way that;

the first person gets 1% of the money

the second gets 2% of the remaining

the third gets 3% of the remaining

and so on...

Which person gets the highest amount?

Resource: Mustafa Yağcı

Rich Tasks 58: Cubic Sums

In 1939, L. E. Dickson proved that all positive integers can be represented as the sum of at most 9 positive cubes. Interestingly, only two numbers exist that require all 9 cubes: 23 and 239 pic.twitter.com/ii93g0RqrB

— Fermat's Library (@fermatslibrary) July 12, 2019

Each group will write the given numbers using cubes from 1 to 9. The first group to finish will be the winner!

48
980
763
227
341

Problem 120: Arithmetic series

IBDP past paper question, taken from Revision Village.

Problem 119: Hypotenuse

Problem 118: 2025

Problem 117: Geometric Series Proof

Rich Tasks 57: Four Twos

Rich Tasks 56: Powers 2

Also look: Different forms of a number
                  Powers 1