🧠 Practice

← Tests Support this project

Drill any concept until you've got it. Each set is timed; master a topic by scoring 80%+ on 3 sets. Shaky on basic facts? Warm up with the math facts drills.

Ratios & Proportional Relationships (RP)

Writing & simplifying ratios
Equivalent ratios & ratio tables
Solving proportions
Unit rates
Constant of proportionality
Proportional relationships & graphs
Scale drawings, maps & models
Dividing a quantity in a ratio
Combining ratios via a shared quantity
Ratios as fractions of a whole
Unit conversion by proportion
Comparing ratios & rates
Chained conversions with made-up units
Scale drawings: area & perimeter

The Number System (NS)

Integer operations
Fraction & mixed-number arithmetic
Decimal arithmetic & place value
Fraction/decimal/percent equivalence & ordering
Number line representation
Order of operations
Exponents & powers
Square & cube roots, radicals
Scientific notation
Absolute value
Reciprocal & unit-fraction reasoning
Primes & prime factorization
GCF & LCM
Divisibility, factors & multiples
Number properties & even/odd rules
Rounding & estimation
Perfect squares & cubes from prime factors
Counting factors from prime factorization
Coprime pairs & must-be-true divisibility
Digit puzzles with divisibility
Remainder arithmetic

Expressions & Equations (EE)

Evaluating expressions
Simplifying expressions
Translating words to expressions
One-variable linear equations
Multi-step equations
Literal equations & rearranging formulas
Linear inequalities
Systems of equations
Slope
Graphing lines & slope-intercept form
Proportional vs. linear relationships
Patterns & sequences
Consecutive-integer setups
Defined operations & symbols
Identities & matching coefficients
Compound inequalities & integer solutions
Equations with fractions

Geometry (G)

Perimeter & circumference
Area of 2D shapes
Volume of 3D solids
Surface area & nets
Cross-sections & slicing
Angle relationships
Parallel lines & transversals
Angles in triangles & polygons
Pythagorean theorem & right triangles
Similar figures
Congruent figures
Transformations
Coordinate geometry
Segment lengths & midpoints
Composite & shaded regions
Triangle Inequality
Circle sectors and arcs

Statistics & Probability (SP)

Measures of center & spread
Weighted & combined averages
Reading data displays
Stem-and-leaf & box plots
Outliers & their effect
Two-way tables
Set logic, Venn & inclusion-exclusion
Simple probability
Compound probability
Fundamental counting principle
Permutations & combinations
Sampling & inference
Mean after adding, removing, or changing values
Arrangements with restrictions

Percents

Percent of a number
Percent/fraction/decimal conversion
Finding the whole
Percent increase & decrease
Discount & markup
Tax & tip
Simple interest
Percent comparison
Successive percent changes
Multi-step percent problems
Reverse percent: find the original

Word Problems & Rates

Distance, rate & time
Unit pricing & best buy
Average rate
Work-rate problems
Mixture problems
Multi-step arithmetic word problems
Age problems
Money & cost problems
Proportional word problems
Rate conversion
Clock, time, and calendar cycles

Techniques

Fluency

Long division
Multi-digit multiplication
Times-table recall (to 20x20)
Fraction arithmetic
Decimal/percent/fraction conversion
Benchmark fraction-decimal recall
Percent benchmark recall
Squares, cubes & roots recall
Powers-of-two recall
Factorial recall
Unit-conversion recall
Prime-factorization fluency
GCF/LCM fluency
Mental estimation
Rounding fluency
Order-of-operations execution
Cross-multiplication (butterfly)
Signed-number arithmetic

Error patterns

Off-by-one / inclusive counting
Sign error
'Which is NOT' misread
Order-of-operations trap
Unit mismatch
Ratio direction flip
Percent of wrong base
Pre-tax / post-tax confusion
Inequality flip forgotten
Area vs. perimeter confusion
Partial-answer stop
Rounding too early
Adding denominators
Mean / median swap
Radius / diameter confusion
Part-to-part / part-to-whole swap
Decimal place shift
Percent change vs. final value
Reversed difference