This Week's Work : Week 50 - for Inquisitive Young Mathletes

Counting Restrictions from Glyia

Very nice introductory level counting questions with restrictions.

from Mathcounts Mini : Counting the Number of Subsets of a Set

 from AoPS :

Counting with Restrictions Part 3  : This one is tricky. Make sure you understand the concepts well.

Try this question from 2011 AMC-8 # 23 :

How many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit?

Solutions from AoPS

Counting with Combinations Part 3

At our group lessons, we'll continue working on harder Mathcounts concepts, not just the accuracy, but speed.

Take care and happy problem solving !!

This Week's Work : Week 49 - for Inquisitive Young Mathletes

Simon's Favorite Factoring Trick from AoPS

Notes from my blog

Now try this year's team round #9 using SFFT.

Review all the team round questions.

From Mathcounts Mini : Maximum Areas of  Inscribed Rectangles and Triangles

The boring algebra proof from my blog. (Oh, dear !!)

This Week's Work : Week 48 - for Inquisitive Young Mathletes

Tackling Problems with Vieta Section 10.4: Vieta for Quadratics Part 1 Section 10.4: Vieta for Quadratics Part 2 Section 10.4: Tackling Problems with Vieta Practicing Problems using Vieta's formula The Binomial Theorem

• Section 14.2: Introducing the Binomial Theorem   


• Section 14.4: Using the Binomial Theorem Part 1


• Section 14.4: Using the Binomial Theorem Part 2


• Section 14.4: Using the Binomial Theorem Part 3


• Section 14.5: Using the Binomial Theorem Part 4

Casework Counting Part I 

Casework Counting Part II 

This Week's Work : Week 47 - for Inquisitive Young Mathletes

This week, we'll continue discussing this year's Mathcounts state harder problems. Please try these problems before our lesson. Review sprint round questions we went over at last Sunday's lesson, especially #18 to see if you can get that question right and fast the first try. The technique used for this question is very similar to the first explanation from this episode of Mathcounts mini -- more construction counting. Review Binomial Theorem and see if you can use the following concepts solving this year's state sprint # 28. (You can also use modular arithmetic, or mod.) Chapter 14: The Binomial Theorem

• Section 14.2: Introducing the Binomial Theorem   
• Section 14.4: Using the Binomial Theorem Part 1
• Section 14.4: Using the Binomial Theorem Part 2
• Section 14.4: Using the Binomial Theorem Part 3
• Section 14.5: Using the Binomial Theorem Part 4

Have a calculator ready for target and team round questions.

Take care and happy problem solving !!