Practice — pick a lesson

Every lesson in Grade 6 (U01–U10) has its own 10-question practice set with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions. New to Grade 6? Start with U01 · L1.

U01 · Integers & Number OperationsAB-MAT6-N1/N2

L1AB-MAT6-N1/N2
Positive and negative numbers in real life
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-N1/N2
The number line: magnitude and direction
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-N1/N2
Comparing and ordering positive and negative numbers
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-N1/N2
Opposites and additive inverses
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-N1/N2
Adding integers: sums and zero pairs
10 questions · gates Q8 & Q10 · hints available
Start practice →
L6AB-MAT6-N1/N2
Subtracting integers: a difference is a sum
10 questions · gates Q8 & Q10 · hints available
Start practice →
L7AB-MAT6-N1/N2
Standard algorithm: adding big numbers in context
10 questions · gates Q8 & Q10 · hints available
Start practice →
L8AB-MAT6-N1/N2
Standard algorithm: subtracting in context (money and metric)
10 questions · gates Q8 & Q10 · hints available
Start practice →
L9AB-MAT6-N1/N2
Add/subtract problem-solving clinic
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U01 lessons?Take Quiz A →Quiz B — retake form →

U02 · Factors, Primes & ExponentsAB-MAT6-N3

L1AB-MAT6-N3
Factors and building products in many ways
10 questions · gates Q9 & Q10 · hints available
Start practice →
L2AB-MAT6-N3
Prime and composite numbers
10 questions · gates Q9 & Q10 · hints available
Start practice →
L3AB-MAT6-N3
Prime factorization
10 questions · gates Q9 & Q10 · hints available
Start practice →
L4AB-MAT6-N3
Common factors from prime factorization
10 questions · gates Q9 & Q10 · hints available
Start practice →
L5AB-MAT6-N3
Powers: base and exponent
10 questions · gates Q9 & Q10 · hints available
Start practice →
L6AB-MAT6-N3
Divisibility through prime factors and powers
10 questions · gates Q9 & Q10 · hints available
Start practice →
Finished the U02 lessons?Take Quiz A →Quiz B — retake form →

U03 · Decimal OperationsAB-MAT6-N4

L1AB-MAT6-N4
Multiplying natural numbers: standard algorithm
10 questions · gates Q9 & Q10 · hints available
Start practice →
L2AB-MAT6-N4
Dividing natural numbers: standard algorithm and remainders as decimals
10 questions · gates Q9 & Q10 · hints available
Start practice →
L3AB-MAT6-N4
Multiplying decimals
10 questions · gates Q9 & Q10 · hints available
Start practice →
L4AB-MAT6-N4
Dividing decimals
10 questions · gates Q9 & Q10 · hints available
Start practice →
L5AB-MAT6-N4
Estimation: checking if an answer is reasonable
10 questions · gates Q9 & Q10 · hints available
Start practice →
L6AB-MAT6-N4
Multiply/divide problem solving (including money)
10 questions · gates Q9 & Q10 · hints available
Start practice →
Finished the U03 lessons?Take Quiz A →Quiz B — retake form →

U05 · Ratios, Rates & PercentAB-MAT6-N8

L1AB-MAT6-N8
Ratios: comparing two quantities
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-N8
Equivalent ratios
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-N8
Proportions: stating equivalence
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-N8
Rates and unit rates
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-N8
Unit price and speed
10 questions · gates Q8 & Q10 · hints available
Start practice →
L6AB-MAT6-N8
Percent of a number (within 100 percent)
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U05 lessons?Take Quiz A →Quiz B — retake form →

U06 · Algebra: Expressions & EquationsAB-MAT6-A1

L1AB-MAT6-A1
Order of operations: parentheses first
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-A1
Order of operations: powers
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-A1
Like terms
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-A1
Rearranging expressions: commutative, associative, distributive
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-A1
Simplifying both sides of an equation
10 questions · gates Q8 & Q10 · hints available
Start practice →
L6AB-MAT6-A1
Solving and verifying one- and two-step equations
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U06 lessons?Take Quiz A →Quiz B — retake form →

U07 · Geometry & CoordinatesAB-MAT6-G1/CG1

L1AB-MAT6-G1
Reflection symmetry
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-G1
Rotation symmetry
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-G1
Tessellations and symmetry in design
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-G1
Congruence: same size, same shape
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-CG1
The Cartesian plane: axes, origin and ordered pairs
10 questions · gates Q8 & Q10 · hints available
Start practice →
L6AB-MAT6-CG1
Plotting and describing points and polygons
10 questions · gates Q8 & Q10 · hints available
Start practice →
L7AB-MAT6-CG1
Translations on the Cartesian plane
10 questions · gates Q8 & Q10 · hints available
Start practice →
L8AB-MAT6-CG1
Reflections and rotations on the Cartesian plane
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U07 lessons?Take Quiz A →Quiz B — retake form →

U08 · Measurement: Area & VolumeAB-MAT6-M1/M2

L1AB-MAT6-M1
Area of a parallelogram: base times height
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-M1
Finding a missing base or height
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-M1
Area of a triangle: half the parallelogram
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-M1
Composite area
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-M2
What is volume: units and cubic centimetres
10 questions · gates Q8 & Q10 · hints available
Start practice →
L6AB-MAT6-M2
Volume of a right rectangular prism
10 questions · gates Q8 & Q10 · hints available
Start practice →
L7AB-MAT6-M2
Volume problem solving
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U08 lessons?Take Quiz A →Quiz B — retake form →

U09 · Patterns & FunctionsAB-MAT6-P1

L1AB-MAT6-P1
Changing quantities: independent and dependent variables
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-P1
Tables of values and the function rule
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-P1
Functions on the Cartesian plane
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-P1
Writing an equation for a function
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-P1
Solving with functions: both directions and problem solving
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U09 lessons?Take Quiz A →Quiz B — retake form →

U10 · Data & Relative FrequencyAB-MAT6-S1

L1AB-MAT6-S1
Frequency and relative frequency
10 questions · gates Q8 & Q10 · hints available
Start practice →
L2AB-MAT6-S1
Expressing relative frequency: fraction, decimal, percent
10 questions · gates Q8 & Q10 · hints available
Start practice →
L3AB-MAT6-S1
Equally likely outcomes and experiments
10 questions · gates Q8 & Q10 · hints available
Start practice →
L4AB-MAT6-S1
Predicting likelihood from relative frequency
10 questions · gates Q8 & Q10 · hints available
Start practice →
L5AB-MAT6-S1
Sample size: why more trials give a better estimate
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the U10 lessons?Take Quiz A →Quiz B — retake form →

U04 · FractionsAB-MAT6-N5/N6/N7

F1AB-MAT6-N5START HERE
Sharing Fairly: Division Becomes a Fraction
10 questions · gates Q8 & Q9 · hints available
Start practice →
F2AB-MAT6-N5
Fraction, Division, Decimal: Three Names for One Number
10 questions · gates Q9 & Q10 · hints available
Start practice →
F3AB-MAT6-N5/N6 prep
Equivalent Fractions: Same Quotient, New Name
10 questions · gates Q9 & Q10 · hints available
Start practice →
F4AB-MAT6-N6 prep
Related Denominators: One Common Name for Two Fractions
10 questions · gates Q8 & Q9 · hints available
Start practice →
F5AB-MAT6-N6
Adding Fractions: One Common Unit First
10 questions · gates Q8 & Q10 · hints available
Start practice →
F6AB-MAT6-N6
Subtracting Fractions: Take Away Parts of the Same Size
10 questions · gates Q8 & Q10 · hints available
Start practice →
F7AB-MAT6-N6
Mixed Numbers: Two Ways to Add and Subtract
10 questions · gates Q8 & Q10 · hints available
Start practice →
F8AB-MAT6-N6
Problem-Solving Clinic: Estimate First, Then Solve
10 questions · gates Q8 & Q10 · hints available
Start practice →
F9AB-MAT6-N7
A Natural Number Times a Fraction
10 questions · gates Q8 & Q10 · hints available
Start practice →
F10AB-MAT6-N7
Unit Fractions and Fraction of a Quantity
10 questions · gates Q8 & Q10 · hints available
Start practice →
F11AB-MAT6-N5–N7
Fractions Mixed Review: The Whole Unit, Interleaved
10 questions · gates Q8 & Q10 · hints available
Start practice →
Finished the lessons?Take Quiz A →Quiz B — retake form →