Name: _ Class: _ Date: _
ID: A
Unit 1 Final Review Worksheet - Measurement & Surface Area
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. Is the thickness of a dime about 1 km, 1 mm, 1 cm, or 1 m?
a. 1 m
Radicals
So far, we have defined a n for n . We now wish to define a power where the exponent is any rational
number, that is, we wish to attach a meaning to a power such as a1 / n and a m / n . Let us first define a root of a real
number.
If n , n > 1 an
Complex Numbers
In the earlier discussions, it was mentioned that
n
a does not have a real root when n is even and a is a
n
negative number. The a is an imaginary number when the index n is even and the radicand a is a negative number. The larger number s
Complex Numbers
In the earlier discussions, it was mentioned that
n
a does not have a real root when n is even and a is a
n
negative number. The a is an imaginary number when the index n is even and the radicand a is a negative number. The larger number s
Polynomial Functions
POLYNOMIAL FUNCTION
A function f written in the form
f x an x n an 1x n-1 an 2 x n -2 . . . a1x a0 ,
where n is a nonnegative integer and an , an 1 ,., a1 and a0 are real numbers, with an 0 , is called a
polynomial function of degree
Systems of Linear Equations
SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES
A linear system of equations in two variables contains two linear equations, each of which has a form
ax by c . This equation is satisfied by an ordered pair of numbers (x, y).
Syste
Chapter 21:
Chapter
Chi-Squared - Goodness of Fit Test
Chi-Squared
Example 1:
According to the W.H.O. (World Health
Organization), medical causes of death of elderly
people are in the proportions as shown.
Column 3 below shows the number of elderly
deaths
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 11 ANSWERS
1. Three coins are tossed. The probability model is
below.
Possibilities
Number of Hs
HHH
3
HHT
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 9 ANSWERS
1. A sample of size n=10 is taken from
X ~ N( = ? , 2 = ? )
25 , 28 , 26 , 29 , 32 , 22 , 24 , 26
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 10 ANSWERS
1.
a)
HYPOTHESIS:
H 0 : 1 = 2 1 2 = 0
H A : 1 2 1 2 0
Mine 1 has a different mean heat-producing
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 11
1. GOODNESS OF FIT
Three coins are tossed 160 times and 0, 1, 2, 3 heads showed 15, 54, 72
and 19 times.
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 8 ANSWERS
NORMAL SAMPLING THEOREM:
1.
n
n
X
i =1
~ N (n , n )
2
i
X
and
i =1
i
n
n
2
~Z
Let X = body lengt
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 10
1. The
following random samples are
measurements of the heat-producing capacity
(in millions of calories
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 9
1. A random sample of 10 data is selected. The results are as follow:
25 , 28 , 26 , 29 , 32 , 22 , 24 ,
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 7 ANSWERS
NORMAL SAMPLING THEOREM:
1.
n
n
X
i =1
~ N (n , n )
2
i
and
X
i =1
i
n
n
2
~Z
Let X= weight in p
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT 0301 ELEMENTARY STATISTICAL METHODS
Sem 2 2012 / 2013
EXAMPLE CLASS 8
NORMAL SAMPLING THEOREM
1.
The
body
length of
a certain
species
of insect
has a
normal
distributi
on with
Polynomials
Algebra uses two important quantities, constants and variables. In fact, these quantities are
essential entities in all fields of pure and applied mathematics. A constant is a symbol whose value does not
change. A variable is a symbol that tak
Functions
The term "function" was first used by Gottfried Wilhelm Leibniz in 1673 to denote the dependence of one quantity on another but it was first defined by the German mathematician Lejeune Dirichlet (1805-1859). Many mathematical models use the conc
Name: _ Class: _ Date: _
ID: A
Right Triangle Trigonometry Test Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the length of the missing side. Leave your answer in simplest radical form.
_
_
1.
a
Chapter 3: Right Triangle Trigonometry
MULTIPLE CHOICE
Choose the best answer.
1. Evaluate cos 11, to four decimal places.
a. 0.9816
b. 0.1944
ANS: B
DIF: Easy
TOP: The Sine and Cosine Ratios
2. In
,
cm and
c. 0.1908
d. 0.0044
OBJ: Section 3.2
NAT: M4
KEY
review unit 4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
_
_
_
_
1. Identify the index of
a.
_
3. Evaluate
a. 4
b. 2.6
c. 16
d. 1.41
b. impossible
c. 12.8
d. 4
b. 0.007
c. 0.1143
d. 0.49
b.
c.
d.
c.
d.
Grade 10 Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. A model of the Calgary Tower has a scale of 1:300. The height of the model is
height of the Calgary Tower to the nearest foot?
a
Unit 3: Review for Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
_
_
1. Write the prime factorization of 1386.
a.
b.
c.
d.
2. Determine the greatest common factor of 72 and 90.
a. 20
b. 360
c.
Unit 3: Review for Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
_
_
1. Write the prime factorization of 1386.
a.
b.
c.
d.
2. Determine the greatest common factor of 72 and 90.
a. 20
b. 360
c.
IAP 20S - Unit 1
Chapter 2
Name: _
Date: _
Trigonometry Practice Test
Multiple Choice
1. A ladder leans against the side of a building. The top of the ladder is 5 m from the ground. The base of the
ladder is 1.0 m from the wall. What angle, to the nearest
I37= %
MATHEMATICS 10 Measurement - - .
TRIGONOMETRY TEST Name: .
ovember 5, 20
Selective Response (11 points):
Identify the choice that best completes the statement or answers the question. Circle your
answer carefully and ﬁll in the Scantron sheet.
I; 2
7 Name: Class: Date: - I 1]): A ’ Name: 1]): A
3. Foundations and Pro-calculus Mathematics 10 .
PRACTICE TEST: Chapter 8 — Trigonometry _ , G Dmﬂniﬂe the tangent ratio for 4K-
: L V M
Short Answer '
1. DetenninetanQandtanR. ' tan Q: .—- :
2 1'6. I '24 14
wave 8'
Name: Class:
Foundations and Pro-calculus Mathematics 10
PRACTICE TEST: Chapter 8 — Trigonometry
Short Answer '
1. Determine tan Q and tan R.
P s a
12
Date: - I 1]): A
2. Determine the measure of AD to the nearest tenth of a degree.
1
{c
Rational Expressions
The definition of a numerical fraction can be extended to include variables in its parts leading to the fraction
called an algebraic fraction or algebraic fractional expression. An algebraic fraction is an expression which
is a quotie
Radicals
So far, we have defined a n for n . We now wish to define a power where the exponent is any rational
number, that is, we wish to attach a meaning to a power such as a1 / n and a m / n . Let us first define a root of a real
number.
If n , n > 1 an