Table of Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
NUMBER & OPERATIONS
Let’s Have “Sum” Fun! (Adding Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Oh, What’s the Difference? (Subtracting Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Master Multiplication! (Multiplying Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Dive Into Division! (Dividing Whole Numbers With and Without Remainders) . . . . . . . . . . . . . . . 12
Divisibility Rules Rule! (Divisibility Rules) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
The Factor Factory (Factors, Primes, and Greatest Common Factor) . . . . . . . . . . . . . . . . . . . . . . 14
Mad About Multiples! (Multiples and Least Common Multiple) . . . . . . . . . . . . . . . . . . . . . . . . . 15
Deci-mental Powers (Decimal Number Sense) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Order in the Court! (Comparing and Ordering Decimals) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
“Sum” More Decimals (Adding Decimals) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Decimal Deli (Subtracting Decimals) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
It’s Time(s) for Decimals! (Multiplying Decimals) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Dare to Divide Decimals! (Dividing Decimals) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Make Sense of Cents! (Money Computation) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Fractions Beyond Compare (Comparing Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Add “Sum” Fractions! (Adding Fractions and Mixed Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . 24
Fraction Leftovers (Subtracting Fractions and Mixed Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . 25
Recipe for Multipli-Fractions (Multiplying Fractions and Mixed Numbers) . . . . . . . . . . . . . . . . . . 26
I Will Divide This Fraction in Half! (Dividing Fractions and Mixed Numbers) . . . . . . . . . . . . . . . . 27
Ratio Rodeo (Ratio and Proportion). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Percent Scents? (Percent of a Whole or Set). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Percent Power! (Percent of a Number) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Donut Wholes (Percent: Finding the Whole When You Know the Part) . . . . . . . . . . . . . . . . . . . . 31
We’re All Equal! (Fractions, Decimals, and Percents) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Super Powers (Exponents and Scientific Notation). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Absolutely Positive! (Working With Integers) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
ALGEBRA
Meet Patty Pattern! (Finding a Pattern) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Three Cheers for Decimal Patterns! (Number Patterns With Decimals) . . . . . . . . . . . . . . . . . . . . 36
Table of Contents
I Detect a Pattern (Number Patterns with Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Pass the Pattern Table! (Patterns and Functions). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
x Marks the Spot (Evaluating Variable Expressions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Simplifying Sampler (Evaluating Variable Expressions in Fractions) . . . . . . . . . . . . . . . . . . . . . . . 40
FraXions (Using Variables and Simplifying Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Give y a Try! (Writing Algebraic Equations) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Try Using a Table! (Problem Solving Using a Table or Chart). . . . . . . . . . . . . . . . . . . . . . . . . . . 43
DATA ANALYSIS & PROBABILITY
Mean and Median à la Mode (Averages: Mean, Median, and Mode) . . . . . . . . . . . . . . . . . . . 44
Above-Average Kids (Averages: Mean, Median, and Mode) . . . . . . . . . . . . . . . . . . . . . . . . . . 45
What’s Your Probability Ability? (Probability, Permutations, and Combinations) . . . . . . . . . . . . . . 46
MEASUREMENT & GEOMETRY
These Angles Add Up! (Complementary and Supplementary Angles) . . . . . . . . . . . . . . . . . . . . . 47
What “Acute” Triangle! (Classifying Triangles by Side Length and Angle Measure) . . . . . . . . . . . 48
Classified Quadrilaterals (Classifying Quadrilaterals). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Geome-tricks! (Perimeter and Area of Geometric Figures) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
Make Room for Volume! (Volume of Geometric Figures) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Are You a Geometry Genius? (Geometry) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Conquer the Clock! (Working With Time) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
MIXED REVIEW
Mix and Match These Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
The Daily Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
Mix It Up, DJ! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Four-Star Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Rev Up for Review! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
SKILL : Adding Fractions and Mixed Numbers
Name(s): ___________________________________________________________________
Add “Sum”
Fractions!
You just “half” to solve three fraction addition
problems to get Tic-Tac-Math! Write all answers in
simplest form.
1
4
+
=
6
6
2
5
+ 43 =
6
8 87 + 2 52 =
Daniel made a pan of
butterscotch brownies.
1
He ate 4 of the pan on
3
Tuesday and 8 of the pan
3
+
8
1 82 =
3
4
1
+
=
9
3
5 61 + 8 83 + 2
1
=
3
Nina was 48 4 inches tall on
her birthday last year. This
On Monday morning, Heather
year she grew 1 58 inches
more. How tall is she now?
morning she ran 6 4 miles, and
7
on Friday morning she ran 5 8
1
ran 5 3 miles. On Wednesday
3
on Friday. How much of the
miles. How many miles did she
pan did Daniel eat on those
run altogether?
two days together?
24
Scholastic • Tic-Tac-Math: Grades 5 & Up
SKILL : Subtracting Fractions and Mixed Numbers
Name(s): ___________________________________________________________________
Fraction
Leftovers
What’s left over when you subtract these mixed numbers?
Solve three problems to get Tic-Tac-Math!
3
1
–
=
4
4
7 53 – 3 51 =
7
3
–
=
8
16
Sasha was shocked to realize
7
7
–
8 10
3 52 =
9 43 –
that she had collected 10 8
pounds of Halloween candy.
3 21 =
5
So she brought 5 8 pounds of
it to school to share with her
friends. How much candy did
Sasha have left?
Paulina’s butterscotch and
Derek intended to cut a
5
8”
1
chocolate-chip brownies
piece of wood 12
were so good that she made
By mistake, he cut a piece
5 large pans of them for her
11 4 ” long. How much
He ran 3 5 miles before twisting
his ankle. How many miles was
holiday party. After the party,
shorter was the piece than it
Max short of his goal?
she only had 1
3
5
pans of
long.
Max was planning to run
1
10 4 miles on Saturday.
4
was supposed to be?
brownies left. What fraction of
the brownies did her guests
eat?
25
Scholastic • Tic-Tac-Math: Grades 5 & Up
SKILL : Multiplying Fractions and Mixed Numbers
Name(s): ___________________________________________________________________
Recipe for
Multipli-Fractions
Get cooking on solving three fraction multiplication problems
to get Tic-Tac-Math!
3
x
8
3 =
7 52 x 3 =
3
4
1
x
=
5
3
6
x
11
3 21 x 6 =
2 21 x 3 83 =
1
5
=
6
2
A recipe calls for 4 cup of
flour. If Jacob triples the
Patrick usually jogs 1 2
miles each morning. But
Tammy’s tiny doll is 2 3 ” tall.
Her big doll is 3 6 times as tall.
recipe, how much flour will
yesterday, he jogged
How tall is her big doll?
he use?
only 3 as far. How far did
Patrick jog yesterday?
7
1
26
Scholastic • Tic-Tac-Math: Grades 5 & Up
SKILL : Dividing Fractions and Mixed Numbers
Name(s): ___________________________________________________________________
I Will Divide This
Fraction in Half!
You don’t have to be a magician to divide fractions.
Simply solve three problems to get Tic-Tac-Math! Express
answers in simplest form.
15 ÷
1
=
2
2 ÷
2 21 ÷
1
=
8
5 ÷
Hortence has 12 yards of
1 =
8
2
=
3
3
3
÷
9
2
=
5
32 85 ÷ 3 85 =
1
Anna had 6 4 pounds of
jelly beans, which she
Gina made 8 2 pounds of
fudge, which she was putting
cut into even strips of 34 -yard
long. How many strips will
divided evenly into 108
bags. How many pounds
into 4 -pound bags to sell at
the school bake sale. How
she have?
of jelly beans were in
many bags of fudge can she
each bag?
fill? How much fudge will she
ribbon, which she plans to
3
have left over?
27
Scholastic • Tic-Tac-Math: Grades 5 & Up
SKILL : Ratio and Proportion
Name(s): ___________________________________________________________________
Ratio Rodeo
Yee-haw! See if you can rustle up some ratios by
solving three problems to get Tic-Tac-Math! Express
your answers in simplest form.
A box of chocolates has
In a jar, there are 6 red jelly
In a jar, there are 5 red M&Ants,
8 solid chocolates and
beans, 3 yellow jelly beans,
8 yellow ones, and 4 orange
4 chocolate-covered
and 9 orange jelly beans.
ones. What is the ratio of
caramels. What is the ratio
What is the ratio of red jelly
orange M&Ants to yellow ones?
of chocolate-covered
beans to orange jelly beans?
caramels to solid chocolates?
Solve the following proportion:
Solve the following proportion:
12
60
=
y
24
18
30
=
100
x
1
Solve the following proportion:
x
18
=
30
50
12% of 800 toy cars are
salad dressing is 3 to 1. If you
A map’s scale is 4 inch = 6
miles. The remote island of
make a large batch of salad
Boogie Woogie is 12 miles
proportion to find out how
by 21 miles. What would be
many cars are defective.
The ratio of oil to vinegar in
dressing with
3
4
cup of vinegar,
how much oil do you need?
defective. Solve the following
the island’s dimensions on
the map? Write proportions
to solve.
28
12
x
=
100
800
Scholastic • Tic-Tac-Math: Grades 5 & Up
SKILL : Percent of a Whole or Set
Name(s): ___________________________________________________________________
Percent Scents?
Skunks stink at finding the percent of a number.
Follow your nose and solve three percent problems
to get Tic-Tac-Math!
What is 10% of 80?
What is 20% of 660?
Stanley only got 80% of the 80
questions on the geography
test correct. How many
problems did he get right?
How many did he get wrong?
What is 18% of 900?
What is 28% of 175?
Conceited Carlos claimed
that he would dance with
75% of the 260 girls at the
dance. If Carlos fulfilled his
claim, how many girls did he
dance with?
What is 38% of 230?
Vera bought a black velvet
Roger was the 1,000th
dress because it was on sale
customer at The Dill Pickle, so
for 25% off. The original price
he received a coupon for 15%
was $73. How much did
off his purchase. Roger spent
Vera save?
$167.99 on groceries. How
much money did he save with
the coupon? Round your
answer to the nearest cent.
29
Scholastic • Tic-Tac-Math: Grades 5 & Up