Difference of squares

  

 

Source: 

Jonathan Hall

@StudyMaths

How many triangles?

 I took this lovely activity from Nolan Fossum's tweet. 

Expanding Brackets

 

A parabola

 

Crypto Puzzle

Replace each letter with a number to solve this puzzle.

 

Solution types

Find the solutions of the equations on the left column, then match them with the appropriate descriptions.

 

 

 

 

 

 

Expanding Brackets on Mathigon

 

Proving x^0=1

 

This belongs to one of my students. 

She came up with a better explanation than mine : )

 

Equation to Solve in Your Head!

 (from Boris Kordemsky - The Moscow Puzzles)

Forming Equations - Bingo

When a number is increased by 5, the answer is 7. 

 

When a number is decreased by 3, the answer is -1.

 

When a number is increased by 5 and the resulting number is doubled, the answer is 33.

 

A number is doubled and three is added. The result is 7. 

 

Twice a number is 3 less than the number. 

 

Four times a number is equal to 35 minus the number. 

 

3 added to the square of a number is 7. 

 

Two consecutive numbers are added and the answer is 21. 

 

Two consecutive even numbers are added and the answer is 14. 

 

Three more than a number is two.

A number subtracted from seven is equal to three more than that number.

 

 

Multi-step Equation Challenge

Using the digits 1 to 9, at most one time each, create an equation where x has the smallest (or greatest) possible value. 

Source: Open Middle

The Idler and the Devil

 

Source: Boris Kordemsky - The Moscow Puzzles

Find the perimeter

[source]

Problem 153: Power Equation Puzzle

 

Problem 115: Math Question From 'Little Man Tate'

How about giving me a number that when divided by the product of its digits the quotient is 3, and if you were to add 18 to this number the digits would be inverted?

Rich Tasks 48: SEE+ME=NOW

Assign a different number for each letter.




Challenge 1:

Challenge 2:

(I do not know if Challenge 1 and 2 are solveable)

Problem 106: Height of the table

Problem 104: Arithmetic and Geometric Sequences

The general formulae for geometric and arithmetic sequences.

The 1st, 5th and 17th terms of an arithmetic sequence are the first three terms of a geometric sequence. Both sequences start from 8. 

Which term of the arithmetic sequence will be equal to the 4th term of the geometric sequence?

Rich Tasks 35: Flipped Equations!

1. Solve the following equation for x. Then flip the equation and solve it again.

Resource:@robeastaway

2. Write an equation which gives the same answer when turned upside down.

Resource and detailed solution: Aperiodical

Problem 72: Square and Triangle

A square and an equilateral triangle together have the property that the area of each is the perimeter of the other.

Find the square's area.




Source: The Center of Math