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Compound Interest
Fibonacci Sequence
Pascal's Triangle
Magic squares
Miscellaneous
100
What does the following variables mean? A=____________ R=____________ P=____________ T=_____________A=end
A=end amount, P= principle, T=time, R= rate
100
What are the three types of sequences?
Arithmetic, Geometric, Neither
100
Who is Pascals Triangle named after and what year was it in?
Blaise Pascal; 1600's
100
What is the sum of a 3x3 magic square and what numbers does it use?
5; 1-9
100
Is the following undefined or indeterminate? 0/0
0/0=indeterminate
200
What is the following in decimal form? 117%_____ 3.5%_____ .47%_____
1.17, .035, .0047
200
What is the rule to get the next number?
Add the previous numbers
200
What is the connection to math using the Pascal Triangle?
Used to help solve binomial expansions
200
What is the hint to solving a 3x3 square?
5 goes in the middle and all sides are even.
200
What is the approximate value of a golden ration?
1.618
300
What is what is the formula for yearly compound inrterest?
A=p(1+r)^t
300
What is the next three numbers? 81, 891, 8991...
Add a nine in the middle each time; 89991, 899991, 8999991
300
What line in the Pascal triangle uses the equation (a+b)^0?1
1
300
What is the missing number in this 4x4 square? 13,6,11,__
4; hint 4x4 equals 34
300
What are the rules for working with tangrams?
-All 7 pieces must be used -Pieces cannot overlap -Pieces must touch in some way
400
What is the formula used to find a depreciated value?
A=P(1-r)
400
What are the next three number and what is the type of sequence? 1,4,9,16,__,__,__
25,36,49 (Neither)
400
What is the seventh line in the Pascal Triangle?
1,6,15,20,15,6,1
400
What magic square equals up to a sum of 175?
7x7
400
What is the sum of the numbers using the formulas: n=(L-F)+1 & S=n(F+L)/2 15+16+17...83
83-15=68+1=69 69(15+81)/2=3,243
500
What is the final amount using the interest compound formula? Principle= $1,800.52 r= 7.36% time= 3 years
1,800.52(1+.0736)^3=2228.052697 Final amount= $2,228.05
500
What is the definition of a sequence?
A list of numbers that follows a pattern in which the next term(s) can be found logically.
500
What is the binomial expansion of (X+Y)^4?
1x^4+4x^3y+6x^2y^2+4xy^3+1y^4
500
What is the missing number in this 8x8 square? Hint: equals 260 __,20,25,51,62,8,29,6 8,13,64,__,49,4,34,28
59, 60
500
What is the amount of U.S. dollars you get after you calculate the currency exchange? Argentina Pesos 1 USD=3.86 7,500 Argentina Pesos
3.86/1=7,500/X 3.86X/3.86=7500/3.86 X=$1,943.01