GRADE 8 STUDY GUIDE

GRADE 8 STUDY GUIDE
OUTLINE OF EXAMS
Your math examination will occur in two parts. The first part will be a situational problem (C1) during
the assessment week between May 27 th and May 31 st . The second part will be a 2.5‐hour long formal
assessment of your mathematical reasoning (C2) will be on Tuesday, June 4 from 9:00‐11:30.
For both evaluations, you will be required to bring a pencil, an eraser, a ruler and a scientific calculator.
Sharing equipment is not permitted.
You are entitled to a one‐page memory aid for both evaluations. You may use both sides of an 8.5” x 11”
sheet of paper, but you must write by hand.
GUIDELINES FOR STUDYING
You will receive a package consisting of blank copies of every unit test that you have written. Re‐writing
these tests will be a good way of preparing for your final evaluations.
You will also receive a practice exam which you are to complete on your own time and which will be
reviewed in class.
You should be reviewing any notes posted in the conference on First Class as well as consulting the
material available to you on Math Help Services.
The following is a list of every topic that we have covered over the course of the year. All of these
topics may potentially be evaluated on both parts of the examination.
Topic 1: Fractions and Decimals
1. Fractions:
a. LCM and GCF
b. Add
c. Subtract
d. Multiply
e. Divide
f. Exponents
g. BEDMAS
h. Division rules
2. Decimals:
a. Fractions to Decimals
b. Decimals to Fractions, including repeating decimals
3. Problems with fractions and decimals

Topic 2: Exponents
1. The meaning of an exponent
2. Exponential/ Factored/ Standard form
3. Prime Factorization
4. Exponent Rules:
a. Zero exponent
b. Negative exponents
c. Product of powers
d. Quotient of Powers
e. And any combination of the above
5. Scientific Notation
Topic 3: Polynomials
1. Definition of a polynomial and its parts
a. Coefficient
b. Literal Coefficient
c. Constant
d. Term
e. Variable
f. Degree
2. Degree of a polynomial
3. Collecting like terms
4. Polynomial names
a. Monomial
b. Binomial
c. Trinomial
5. Multiplying Polynomials
a. Distributive Property
b. FOIL
6. Division of Polynomials
a. Poly by Monomial
b. Poly by Binomial
7. Combinations of the above

Topic 4: Algebra
1. Equations vs. Expressions
2. Solving single variable equations:
a. 1 to 4 step equations
b. Rational equations
c. Equations involving a variable with degree of 2
3. Literal Equations: Isolating a variable
Topic 5: Algebraic Word Problems
4. Converting:
a. Words to Expressions
b. Expression to Words
5. Number Problems
6. Shape Problems
7. Rate/Time/Work Problems
8. Money Problems
9. Speed/Time/Distance Problems
10. Age Problems
Topic 6: Ratios, Rates and Percents
1. Problems involving Ratios
2. Problems involving Rates
3. Percents
a. Converting between fractions, decimals and percents
b. Solving percent problems
c. Calculating taxes, discounts and making bills
d. Percent increase and decrease problems
e. Simple Interest (I = Prt)
f. Commission problems

Topic 7: Angles, Polygons and Circles
1. Identifying the different types of angles
a. Acute
b. Obtuse
c. Reflex
d. Right
e. Complementary
f. Supplementary
2. Parallel Line Theory
a. Interior alternate
b. Exterior alternate
c. Interior same side
d. Corresponding
e. Opposite angles
f. Using these theories to find missing angles
3. Polygons up to 12 sides
a. Definition
b. Names
c. Sum of interior angles
d. Area
i. Including complex shapes, made up of combinations of polygons and circles
e. Perimeter
i. Including complex shapes, made up of combinations of polygons and circles
4. Pythagorean Theorem
a. Finding missing side of a right triangle
b. Word problems involving
5. Circles
a. Parts of
b. Circumference
c. Area
d. Arc length
e. Sector area
f. Problems involving all the above
Topic 8: Surface Area and Volume
1. Calculate the surface area and volume for Prisms, Pyramids, Cylinders and Cones
2. Calculate the surface area and volume for combinations of the above shapes