Practice Workbook Series
Mental Math Practice Workbook
Extra Practice for Every Strategy, with a Worked Solution for Every Method
Mirrors the Main BookTimed DrillsEvery StrategyWorked Solutions
Grades 4–8
·Competition Ready
·
Print-Ready PDF
$25.00
About This Book
The companion practice volume to Mental Math Strategies. Each strategy gets a fresh drill set with the reasoning written out, because a mental method only becomes fast after it has been used on many numbers.
Table of Contents
1
Basic Divisibility Rules
2
Powers of Two
3
Last-Digit Divisibility Tests –- Easy Primes (7, 13, 19, 29, 31)
4
Triangular Numbers
5
The 1/7 Repeating Decimal Cycle
6
Decimal Digits of p/11
7
Cyclic Last-Digit Patterns in Powers
8
The 9-9-10 Rule –- Subtracting From Powers of Ten
9
Percent Building Blocks –- 10%, 5%, 1%, Pivot
10
Left-to-Right Addition
11
Compensation –- Addition and Subtraction
12
Friendly Number Anchors –- 25, 50, 75, 100
13
Mental Multiplication by Simple Fractions
14
Difference of Squares –- a^2 - b^2 = (a+b)(a-b)
15
Cross-Product for Proportions
16
Percentage Change
17
Sum of an Arithmetic Sequence
18
Halving and Doubling –- x5, x25, x50, x125
19
Special Number Multipliers –- x9, x11, x12, x15, x99, x101
20
Squares –- Special Cases (Ends in 5, 0, 1)
21
Ratio Scaling –- Simplify and Scale
22
Estimation with Compatible Numbers
23
Modular Clock Arithmetic and Clock-Hand Angles
24
Division by 9 and 11 via Digit Sums
25
Squares Near 50 and Near 100
26
Factor Decomposition –- Breaking One Factor Into Parts
27
Squaring Any Two-Digit Number
28
Average via Anchor
29
Speed Multiplication Methods –- x6, x7, x8
30
Square Root Linearization –- Approximation from Nearest Perfect Square
31
GCD by Repeated Subtraction
32
Last-Digit Divisibility Tests –- Medium Primes (11, 17, 23, 37, 41, 43)
33
Casting Out Nines –- Checking Arithmetic
34
Prime Factorization Strategies
35
Number of Divisors
36
LCM from GCD
37
Place-Value Column Method –- 3-Digit by 2-Digit
38
Compensation in Multiplication –- Round, Multiply, Adjust
39
Halving Chains and Reciprocal Division –- /4, /8, /25, /125
40
Cube Root Estimation
41
Sum of Divisors
42
Last-Digit Divisibility Tests –- Hard Primes (47 to 97)
43
The Euclidean Algorithm for GCD
44
Vedic Cross-Multiplication –- 2-Digit by 2-Digit
45
Squaring Any Three-Digit Number
46
Vedic Division –- Quotient Digit by Digit
47
The Doomsday Algorithm –- Day of the Week for Any Date
48
Square Roots by Long Division –- Perfect Squares
49
Lattice Multiplication –- Grid Method
50
Square Roots by Long Division –- Non-Perfect Squares
Free Sample
A free sample for this title is coming soon.
Why This Book?
Infinite Variations
Every practice set uses our AI-powered generator — the same numbers never appear twice.
Answers and Worked Methods
Every problem has an answer, and a full step-by-step solution for its method — nothing is left as just a number.
Competition Aligned
Difficulty and style are calibrated to AMC 8 and MathCounts standards.
Print Ready
Professionally typeset with LaTeX — sharp on any standard printer.