1. The average age of five children is 6 years old. Each child is a
different age and there is a difference of two years in the ages
of any two consecutive children. In years, how old is the oldest
Gemini Topic Test
FAMAT State Convention 2009
NOTA means None of the Above. Assume i = 1, e is the natural base. The
determinant of matrix M is M , its transpose is M T , its adjoint is adj ( M ) , an
Gemini Solutions
FAMAT State Convention 2009
1. D On the first pass you close 2-20 even. On the second pass you close 19, 15, 11, 7,
and 3. On the third pass you close 5, 13, and 21. On the fourth you
Theta Functions Solutions
FAMAT State Convention 2009
1. f ( 3) = 27 + 9 4 = 32 . D
2. The remainder is equal to f ( 1) = 17 23 + 12 + 9 11 = 4 . C
2
2
3. When x = 0 , ln ( x ) is undefined, so f is u
Theta Functions
FAMAT State Convention 2009
For all questions, E. NOTA means none of the above answers is correct.
3
1. If f ( x ) = x + 3 x 4 , then what is f ( 3) ?
A. 4
B. 14
C. 25
D. 32
E. NOTA
5
February Regional Individual Test
The use of a calculator is not permitted!
For all questions, choice E is NOTA, meaning none of these answers.
All angles are measured in degrees
Figures are not neces
February Regional
Geometry Team
Question #1
Lines l, m, and n are parallel to each other.
Evaluate: A+B+C+D
February Regional
Geometry Team
Question #1
Lines l, m, and n are parallel to each other.
Ev
February Regional Solutions
Answers:
1. C
2. C
3. B
4. C
5. A
6. B
7. B
8. D
9. C
10. B
11. A
12. A
13. B
14. D
15. C
16. C
17. D
18. A
19. D
20. A
21. A
22. B
23. C
24. A
25. B
26. B
27. E
28. B
29.
February Regional
Geometry Team
Question #1: Lines l, m, and n are parallel to each other.
Evaluate: A+B+C+D
Question #2: Given that the apothem of the following figures is 6 in., find the areas of th
MAO February Regional Algebra I Team Solutions
1. -9:
The minimum value of f(x) will be at the vertex of f(x). The x -coordinate of the
vertex will be b/2a, or -1; the minimum value is therefore f(-1)
February Geometry Regional Answer
Key
Individual
1. C
2. C
3. B
4. C
5. A
6. B
7. B
8. D
9. C
10. B
11. A
12. A
13. B
14. D
15. C
16. C
17. D
18. A
19. D
20. A
21. A
22. B
23. C
24. A
25. B
26. B
27.
Algebra I Individual Test
MAO February Regional
No calculators allowed.
NOTA means none of these answers are correct
1. Nick decides to go on a vacation to Miami, Florida. For 4 hours, he speeds down
February Regional_
Statistics Individual Test
NOTA stands for None of the Above is Correct
1. Mellican loves to bake. She has also always found psychology interesting. If she doesnt consider
any other
Theta Equations and Inequalities Solutions
FAMAT State Convention 2009
7
.B
3
2. By examination we see that the polynomial has the root x = 1 . Synthetic division yields
( x + 1)( x 2 2 2 x + 5) . Sin
Theta Equations and Inequalities
FAMAT State Convention 2009
The answer choice E. NOTA denotes None of the Above Answers is Correct. Assume least
common multiples are positive.
1. Solve for x if 4 ( x
Alpha Equations and Inequalities
FAMAT State Convention 2009
Directions: Try to answer each question to the best of your ability. The questions are in no
particular difficulty. Also, NOTA means None O
FAMAT State Convention 2009
Errata Sheet
Reasons for changes are on following pages.
Geometry
#20 D
Theta Apps
#27 D
Theta Equations & Inequalities
#16 E
Calc Apps
#14 D
Sequences & Series Calc
#29 B
Alpha Equations and Inequalities
FAMAT State Convention 2009
1) The easiest way to solve this question is to graph both equations. Notice that the
quadratic function is always positive and will never
Matrices
Part II
Matrices So Far
Defined Matrices
Order of a Matrix
Matrix Addition
Zero Matrix
Matrix Subtraction
Scalar Multiplication
Multiplication
Matrices - Today
Determinants
Inverse Mat
Discrete Math Answer Key
2
n
n
1) A, an = 8an 1 12an 2 x 8 x + 12 = ( x 6)( x 2) = 0 an = c1 6 + c2 2 . The initial conditions
3n1n
3 20 1 20
give an = 6 + 2 . Thus, a20 = 6 + 2 9 + 3 2 (mod10)
2
2
2
Discrete Math
FAMAT State Convention 2010
Directions: For the purposes of this test, NOTA denotes none of the above. Let Q + denote
the set of positive rationals, P* denote the set of primes, and Z de
Sequences and Series
An Introduction
Pre-Calculus
Day 75
Sequences
A sequence is an ordered list of numbers. Each number
in the sequence has a position
Mathematically, it is a function whose domain is