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EOG
Math
Strategies
Race to the Finish!
Cathy Barlow - Hudson Middle School
Sharon Norman – Leland Middle School
Some important things
for you to know about the
Math EOGs…
The math EOGs were
• brand new two years ago
• the questions are HARDER
• the passing grade is HIGHER!
What does that mean to us?
 The state has made the EOGs more
challenging…
 We have to work harder to be prepared…

What worked before may not work now…
Not only do you need to work
HARDER,
BUT you also need to work SMARTER!
Let’s look at some STRATEGIES that
will help you “work smarter”…
Come to school EVERYDAY
during EOGs!
May
May
May
26
27
28
Get a good night’s sleep before
the EOGs!
Eat a good breakfast
before the EOGs!
Remember, work
slowly and
carefully on the
tests!
“I tried my very best!”
 Try your
hardest on
EVERY
problem –
don’t give up!
I’ll just fill in any circle –
I’ll just fail anyway!”
 If you can
narrow it down
to two good
choices –
choose the best
of the two!
“Well, I know it’s either A
or C, but I think C is better
so I’ll mark C!”
Let’s practice and learn some
tips for success…
1.)
A class is conducting a probability experiment
using the spinner shown. The table shows the
results of spinning the spinner 200 times.
What is the experimental probability that the
spinner will land on blue on the next spin?
Spinner Results
R
Blue
76
Y
B
Red
27
Y
B
Green
52
Yellow
45
G
A. 19
50
R
B
3
B.
8
1
C. 4
D. 37
100
Math vocabulary is very
important!
Do you know what the words
experimental probability
mean?
The Answer is
A) 19/50
Math vocabulary is very important! Try to
really think about the meaning of the math
words!
2.) Simplify: 9 + 63 ÷ (9 – 8) 32
A. -476
B. 648
C. 576
D. 0
ALWAYS use Order of Operations!
1.) Parenthesis (and other grouping
symbols)
2.) Exponents
3.) Multiplication or division, left to right
4.) Addition or subtractrion, left to right
The answer is
C) 576
Remember order of operations “Please excuse my dear Aunt Sally.”
3.) A bag contains 6 pink, 8 white, 4 green, and 2
blue ribbons. Jasmine picks ribbons out of
her bag at random. She picked one ribbon
out of the bag, put it aside, and then picked
out a second ribbon. What is the probability
that the first ribbon is white and the second is
blue?
A. 1/25
C. 4/25
B. 4/95
D. 1/4
Sometimes they make the answers
very tricky!
It does not look like the answer is
here, BUT…. It is!
Here’s a hint:
Always look for answers that may be
simplified or written in another
“form”!
The answer is
B) 4/95
Don’t let them trick you!
Always look for answers that may
be simplified or written in another
“form”!
4.) What is the value of 253?
A. 565
B. 15,625
C. 5,165
D. 75
DON’T FALL for common mistakes!
WRONG answers that students often pick
are usually included in the answer choices.
Think before you choose!
The answer is
B) 15,625
Remember, common wrong
answers are often included as
choices – take your time and think
before you write!!!!
5.) What is 7/8 written as a percent and
as a decimal number?
A. 78%, 0.78
B. 85%, 8.5
C. 87.5%, 0.875
D. 92.5%, 92.5
Think carefully about the meaning
of math symbols…
HINT:
A fraction bar has a special
meaning in math!
The answer is
C) 87.5%, 0.875
Pay special attention to math
symbols on the EOG!
Think about their meaning!!!
6.) Which list shows the numbers in
order from greatest to least?
A. 2, 5/9, 1.815, 67%
B. 0,
33.3%, 3/4, 4.2
C. 99%, 10, 8/9, 0.36
D. 1, 2/5, 0.16, 11.5%
Read carefully to see what the
question asks for:
greatest to least
OR
least to greatest !
Remember:
• Numbers are easiest to compare when they are
written in the same form!
• ALL negatives are less than ALL positives!
• Whole numbers are greater than fractions!
The answer is
D) 1,
2/5, 0.16, 11.5%
To compare numbers, change them to
the same form – usually decimals!
Be sure you know WHAT the question
is asking for!!
7.) Evaluate: 9
A. 13
B. 6561
C. 176
D. 36
4
If you are unsure of a math symbol –
try looking on your calculator!
Many math symbols are on the
calculator!
The answer is
B) 6561
Remember, your calculator is a
tool so if you are confused:
Look for keys on the calculator
that might help you!
8.) A carpenter built a gazebo with a floor
in the shape of an octagon. If each
side of the octagon measures 2 ½
feet, what is the perimeter of the
gazebo floor?
A. 35 feet
B. 20 feet
C. 13.2 feet
D. 52.48 feet
Remember, you want to work “smarter” NOT “harder”!
Always ESTIMATE before you work the
problem…
Hmm…
This helps you ELIMINATE choices AND helps
you know if your answer is REASONABLE!
The answer is
B 20 feet
ESTIMATING before you work a
problem helps you eliminate choices
and determine if your answer is
REASONABLE!
9.) What is 2.35
10-4 written in
standard form?
A. 2,350
B. 0.0235
C. 0.000235
D. 2,350,000
If a question seems confusing think about
it in small parts first!
You can think…
1.) Do I know what 10-4 means?
If so, use the calculator to find the answer!
2.) Then look at the rest of the problem….
Do I know what the dot means between
the numbers? If so use the calculator….
The answer is
C) 0.000235
Remember, if you are confused –
start somewhere! See if you can
begin with a small part of the
problem first!
10.) What number is represented on the
mat shown below? The shaded
counters represent negative numbers
and the white counters represent
positive numbers.
A. 18
B. 12
C. -6
D. -12
Try to create some “visual tricks” to
help you remember what to do for
some problems…
When you see two-colored counters,
think of one negative and one positive
going together to make a “zero
sandwich”!
0
The answer is
C) -6
“Visual tricks” can sometimes help you
remember what to do!
Try to create some of your own “visual”
tricks.
11. Which statement is true?
A. -7 > -1.5
B. - 2/3 > - 1/3
C. -2.4 < - 2.46
D. – ½ < - 0.2
Negative numbers can be very
confusing – don’t JUMP at an answer
– THINK before you write – DRAW a
number line!
-4 -3 -2 -1 0 1
2 3 4
Remember that numbers get smaller
as you go left on the number line!
The answer is
D) – ½ < - 0.2
Don’t JUMP at an answer –
THINK before you write!
12. Susan bought fencing for a rectangular
garden that measures 12 feet by 10 feet.
After she bought the fencing, she
decided to increase the dimensions of
the garden to 18 by 12 feet. If she wants
to install fencing around the new garden,
how much more fencing does she need?
A. 8 feet
B. 16 feet
C. 96 feet
D. 104 feet
Sometimes, if you do not understand a
problem, drawing a picture of what is
happening will help!
Start drawing and labeling the gardens…
12 ft
10 ft
12 ft
18 ft
The answer is
B) 16 feet
If you are confused about a problem, try to
draw a picture! This will often help you
understand the problem.
13. Trevor had a board that was 6.1 feet
long. He cut the board into two pieces.
One of the pieces is 3.9 feet long. About
how long is the other piece?
A. 2 feet
B. 8 feet
C. 1.1 feet
D. 5.5 feet
The word about in this problem means
that you do not need to have an exact
answer!
Use the information that is given to
make a reasonable estimate…
The answer is
A) 2 feet
Remember that “about” does
NOT mean you need an exact
answer! You may not have to
work the problem out, BUT it’s
always GOOD to check!!!!
14. Raleigh-Durham airport had about 6.4 x 105
passengers in November of 2002. In
December 2002, they had about 6.8 x 105
passengers. How many passengers traveled
through the airport in November and
December?
A. 132,000 people
B. 40,000 people
C. 400,000 people
D. 1,320,000 people
Remember to use your
calculator as a TOOL!
Doing “several operations at one time” is
easy on most calculators because they will
automatically do order of operations.
Use as many calculator functions as you
can!
The answer is:
D) 1,320,000 people
• If the exponent is positive move it to
the right JUST LIKE on the number
line!
• If it is negative move it to left JUST
LIKE on the number line!
3.08 x 10 4 = ?
3.08 x 10 -4 = ?
15. On a trip to the Ashboro zoo, 5 friends
wanted to sit together on the bus, but there
were only 3 adjacent seats. In how many
ways could 3 of the 5 friends sit together?
A. 6
B. 15
C. 60
D. 120
Think carefully about VOCABULARY-
permutation or combination?
• If you change the
• If you change the order
and it makes a different
arrangement, then it is a
permutation!
Example: 5P3
order and it does
not make a different
arrangement or
change the item,
then it is a
combination!
Example: 5c3
The answer is
C) 60
• A PERMUTATION is where order is
important because if you change the
order you get a different group or
arrangement!
M S H
H S M
16. If the circumference of a circle is 40
what is the radius of the circle?
A. 5 meters
B. 20 meters
C. 10 meters
D. 60 meters
meters,
C=
d
What information do you know by “thinking”
about this formula and the problem that was
given?
The answer is
B) 20 meters
• A FORMULA can help you find all
kinds of “missing” information!
17. Which of the following numbers, when
multiplied by 2/3, results in a number
greater than 2/3?
A. 1/3
B. 9/10
C. 1
D. 3/2
Think about what you know is true
about fractions. …
They are trying to find 2/3
“of” another number!
The answer is
D) 3/2
When multiplying by a fraction, you
are finding “part of” another
number!
18. What is the value of 5 + 2x – (y)2 if x =
12 and y = 3?
A. 13
B. 20
C. 26
D. 75
Is this an equation or an
expression?
You do not need to “solve” an equation….
just substitute and evaluate the
expression!
The answer is
B) 20
SUBSTITUTE the values given for x and y
and then EVALUATE the expression!
19. If WXYZ is rotated 90 counterclockwise
about the origin, in what quadrant will
the image of W lie?
A. I
B. II
C. III
D. IV
W
X
Z
Y
Another word for “rotate” is TURN!
“About the origin” means around (0,0)
on the coordinate grid… staying the
same distance from that point!
90 means the new “image” will form a
right angle with the first figure.
The answer is
C) quadrant III
Quadrants are numbered from the top
right side and go
COUNTERCLOCKWISE!!!
20. If 2 fair coins are tossed, the sample
space is {HH, HT, TH, TT} where H
represents heads and T represents tails.
What is the probability of getting 2
heads?
A. ¼
B. ½
C. ¾
D. 1
Sample space????
Sample space is a list of all of
the possible outcomes!
The answer is
A) ¼
The sample space is a list of all
of the possible outcomes!
21. What property is shown by
6(5x + 4) = (6 x 5x) + (6 X 4)
A. Commutative Property of Addition
B. Associative Property of Multiplication
C. Distributive Property
D. Multiplication Property
Think about each of the
properties…
Commutative Property
Associative Property
Distributive property
The answer is
C) Distributive Property
Commutative – Change the order
Associative –
Change the grouping
Distributive –
Multiply what’s outside the
parentheses by both
things inside of the
parentheses
You DID a GREAT job.
Keep up the good work!
Do your BEST on the
EOGs!!!
HMS Hornets
will succeed!!!