Mathematics, grade 6
52 topics for grade 6, 502 exercises. Each one starts with an explanation, then practice that adapts: get it right and the difficulty rises, get it wrong and the tutor takes the step apart.
Topics in this grade
Numeric and Letter Expressions
Numeric and letter expressions are written instructions for a calculation.
9 exercises · about 25 min
Multiplying Decimals
Multiplying decimals is done by ignoring the points at first.
9 exercises · about 25 min
Dividing Decimals
Dividing decimals splits such a number into equal shares.
9 exercises · about 25 min
Rounding Decimals
Rounding decimals replaces a number with a shorter, nearby one.
9 exercises · about 25 min
Scale on Maps and Plans
A scale says how many times a drawing is smaller than reality.
8 exercises · about 25 min
Equivalent Fractions
Equivalent fractions are different fractions that name the same amount.
10 exercises · about 20 min
Simplifying Fractions
Simplifying a fraction means dividing the top and bottom by one number.
10 exercises · about 20 min
Common Denominator of Fractions
A common denominator is one bottom number both fractions can share.
10 exercises · about 20 min
Comparing Fractions with Different Denominators
Comparing fractions means finding which one names a bigger amount.
10 exercises · about 20 min
Adding Fractions with Different Denominators
Adding fractions with different bottoms means giving them a common bottom first.
10 exercises · about 25 min
Subtracting Fractions with Different Denominators
Subtracting fractions with different bottoms means giving them a common bottom first.
10 exercises · about 25 min
Adding and Subtracting Mixed Numbers
A mixed number has a whole number and a fraction together.
10 exercises · about 25 min
Multiplying Fractions
Multiplying fractions means finding a part of a part.
10 exercises · about 20 min
Multiplying Mixed Numbers
To multiply mixed numbers, first turn each one into a single fraction.
10 exercises · about 20 min
Finding a Fractional Part of a Number
Finding a part of a number means multiplying by the fraction.
10 exercises · about 20 min
Reciprocal Numbers
Reciprocal numbers are a pair of fractions that make 1 when multiplied.
10 exercises · about 15 min
Dividing Mixed Numbers
To divide mixed numbers, first turn each one into a single fraction.
10 exercises · about 20 min
Finding a Number from a Fractional Part
Finding a number from its part means dividing by the fraction.
10 exercises · about 20 min
Multiplying a Decimal by a Whole Number
Multiplying a decimal by a whole number works like normal multiplication.
10 exercises · about 20 min
Dividing a Decimal by a Whole Number
Dividing a decimal by a whole number works like normal division.
10 exercises · about 20 min
Repeating Decimals
A repeating decimal has digits that repeat forever after the point.
10 exercises · about 20 min
What Is a Rational Number
A rational number can be written as a fraction of two whole numbers.
10 exercises · about 20 min
Adding Rational Numbers
Adding rational numbers means giving them a common denominator first.
10 exercises · about 20 min
Subtracting Rational Numbers
Subtracting a rational number means adding its opposite instead.
10 exercises · about 20 min
Multiplying Rational Numbers
Multiplying rational numbers means multiplying the fractions and finding the sign together.
10 exercises · about 20 min
Dividing Rational Numbers
Dividing rational numbers means multiplying by the reciprocal of the second number.
10 exercises · about 20 min
Triangle Elements and Perimeter
A triangle has three sides and three corners called vertices.
10 exercises · about 20 min
Classifying Triangles by Their Angles
A triangle is acute, right, or obtuse based on its biggest angle.
10 exercises · about 20 min
Finding Area by Counting Grid Squares
You can find area by counting the squares a shape covers.
10 exercises · about 20 min
Circle Basics: Radius, Diameter, Chord, Arc
Every point on a circle is the same distance from its center.
10 exercises · about 20 min
Circumference and Area of a Circle
The circumference is the distance around a circle.
10 exercises · about 20 min
Area of Composite Figures with Circles
A composite figure is made of two or more simple shapes joined together.
10 exercises · about 20 min
Volume of Composite Solids
A composite solid is made of two or more cuboids joined together.
10 exercises · about 20 min
Ratios and Proportions
Ratios and proportions compare two amounts by dividing one by the other.
10 exercises
Direct and Inverse Proportion
Two amounts are directly proportional if their ratio stays equal as both change.
8 exercises · about 20 min
Percentage Increase, Decrease, and Mixtures
A percentage change means an amount grows or shrinks by a percent.
8 exercises · about 20 min
Negative Numbers
Negative numbers are the numbers below zero, written with a minus.
10 exercises
Divisibility Rules
Divisibility rules tell you whether one number divides another exactly.
10 exercises
LCM and GCD
LCM and GCD are two numbers you can find for any pair.
10 exercises
Coordinate Plane
A coordinate plane carries two number lines drawn across it.
10 exercises
Adding and Multiplying Fractions
Adding and multiplying fractions works even when the parts differ in size.
10 exercises · about 25 min
Dividing Fractions
Dividing fractions is done by turning the second one over and multiplying.
10 exercises · about 25 min
Fractions as Decimals
Every fraction becomes a decimal when you divide its top by its bottom.
10 exercises · about 20 min
Percentage Ratio of Two Numbers
A percentage ratio says what one amount is as a percentage of another.
10 exercises · about 20 min
The Circle: Circumference and Area
A circle is a line drawn one distance around a centre.
10 exercises · about 25 min
Perpendicular and Parallel Lines
Perpendicular and parallel lines describe how two straight lines sit together.
10 exercises · about 25 min
Solving Equations by Moving Terms
Solving equations by moving terms means carrying a term across the equals sign.
10 exercises · about 25 min
Properties of Equality
An equality is two expressions joined by an equals sign.
8 exercises · about 18 min
Cost, Price, and Quantity Problems
Cost is the price of one item multiplied by the quantity bought.
8 exercises · about 20 min
Converting Measurement Units
Converting means writing a measurement in a different unit.
9 exercises · about 20 min
Reading and Building Data Tables
A data table lists facts in rows and columns.
8 exercises · about 15 min
Range, Median, and Mode
The range is the biggest number in a list minus the smallest.
9 exercises · about 18 min
Where this leads
These topics feed DTM (State Testing Center), NMT (National Multi-Subject Test), ZNO (External Independent Evaluation).
Start with a 15-minute diagnostic
It finds which of these topics are solid and which are shaky, then builds the plan from there.
Start free
