Mathematics, grade 7
20 topics for grade 7, 182 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
Linear Equations
A linear equation with one variable has the form ax = b.
10 exercises
Systems of Linear Equations
A system of two linear equations asks for a pair satisfying both at once.
10 exercises
Algebraic Expressions
Algebraic expressions are written with letters standing for numbers.
10 exercises
Polynomials
A monomial is a product of numbers and letters, like 5a^2b.
10 exercises
Special Product Formulas
A special product formula is a shortcut for multiplying certain sums and differences.
10 exercises · about 25 min
Adding and Subtracting Algebraic Fractions
An algebraic fraction has a polynomial on the top, the bottom, or both.
9 exercises · about 22 min
Addition and Multiplication Rules of Counting
The addition rule counts choices when you pick one option from separate groups.
9 exercises · about 18 min
Linear Function
A linear function is a rule of the form y = kx + b.
10 exercises
Powers and Exponents
A power with a natural exponent is a product of equal factors.
10 exercises
Geometry Basics
Geometry basics are the facts everything later is built on.
10 exercises
Triangles
A triangle has three sides, three vertices and three angles.
10 exercises
Parallel Lines and Angles
Parallel lines are lines in one plane that never meet.
10 exercises
Rational Expressions
A rational expression is built from numbers and letters.
12 exercises · about 30 min
Multiplying and Dividing Rational Fractions
Multiplying and dividing rational fractions works on the top and the bottom separately.
12 exercises · about 30 min
Permutations and Combinations
A permutation lines up every one of n distinct items in some order.
6 exercises
Circle, Chords, and Tangent Lines
A circle's radius connects its centre to any point on it.
7 exercises · about 20 min
Inscribed and Circumscribed Circles of a Triangle
An inscribed circle sits inside a triangle, touching every one of its three sides.
7 exercises · about 20 min
Central and Inscribed Angles
A central angle has its vertex at the circle's centre.
7 exercises · about 20 min
Relative Position of Two Circles
Two circles can sit apart, touch at one point, or cross at two points.
6 exercises · about 20 min
Geometric Locus of Points
A geometric locus is the set of every point sharing one property.
7 exercises · about 20 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
