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Maths Exercices

Eighth grade

Here is a list of all the skills students learn in eighth grade!
The skills are organized into categories, and you can click on any skill name to start practicing!

Number theory

A.1. Factors
Divisibility rules
Prime or composite
Prime factorization
Greatest common factor
Least common multiple
A.7. GCF and LCM: word problem
A.8. Classify numbers


B.1. Integers on the number line
Absolute value and opposite integers
B.3. Compare and order integers
Add integers (Worksheet)
Subtract integers (Worksheet)
Multiply integers (Worksheet)
Divide integers (Worksheet)
B.8. Integer inequalities with absolute values
B.9. Simplify expressions involving integers and absolute values
B.10. Evaluate variable expressions with integers and absolute values

Rational numbers

C.1. Identify rational and irrational numbers
Simplify fractions
Least common denominator
C.4. Round fractions and mixed numbers
C.5. Absolute value of rational numbers
C.6. Convert improper fractions to mixed numbers
C.7. Convert mixed numbers to improper fractions
C.8. Convert decimals to fractions (Worksheet)
C.9. Convert fractions to decimals (Worksheet)
C.10.Compare and order rational numbers
C.11. Reciprocals and multiplicative inverses
C.12.Add and subtract rational numbers (Worksheet)
C.13.Multiply rational numbers (Worksheet)
C.14.Divide rational numbers (Worksheet)
C.15. Word problems involving rational numbers
C.16. Simplify expressions involving rational numbers
C.17. Evaluate variable expressions involving rational numbers

Exponents and roots

D.1. Understanding exponents

D.2. Evaluate exponents
D.3. Exponents: solve for the variable
D.4. Exponents with negative bases
D.5. Exponents with fractional bases

D.6. Understanding negative exponents
D.7. Evaluate negative exponents
D.8. Exponents with fractional exponents
D.9. Multiplication with exponents
D.10. Division with exponents
D.11. Power rule
D.12. Simplify expressions involving exponents
D.13. Square roots of perfect squares (Worksheet)
D.14. Positive and negative square roots
D.15. Estimate positive and negative square roots
D.16. Relationship between squares and square roots
D.17. Evaluate variable expressions involving square and square roots
D.18. Cube roots of perfect cubes (Worksheet)
D.19. Estimate cube roots

Scientific notation

E.1. Convert between standard and scientific notation
E.2. Compare numbers written in scientific notation
E.3. Multiply numbers written in scientific notation
E.4. Divide numbers written in scientific notation

Ratios and proportions
F.1. Understanding ratios
F.2. Equivalent ratios
F.3. Equivalent ratios: word problems
F.4. Compare ratios: word problems
F.5. Unit rates
F.6. Do the ratios form a proportion?
F.7. Do the ratios form a proportion?: word problems
F.8. Solve proportions
F.9. Solve proportions: word problems
F.10. Estimate population size using proportions
F.11. Rate of change
F.12. Constant rate of change
F.13. Scale drawing and scale factors

Proportional relationships
G.1. Identify proportional relationships
G.2. Find the constant of variation: graphs
G.3. Find the constant of variation: word problems
G.4. Graph a proportional relationship
G.5. Write an equation for a proportional relationship
G.6. Proportional relationships: word problems

I.1. Convert a percent to a decimal
I.2. Convert a percent to a fraction
I.3. Convert a decimal to a percent
I.4. Convert a fraction to a percent
I.5. Compare percents of numbers
I.6. Compare percents to decimals
I.7. Compare percents to fractions
I.8. Percents of numbers
I.9. Percents of money amounts
I.10. Percents of numbers: word problems
I.11. Find what percent one number is of another
I.12. Find what percent one number is of another: word problems
I.13. Solve percent equations
I.14. Percent of change
I.15. Percent of change: word problems

Consumer math
J.1. Price lists
J.2. Unit prices
J.3. Unit prices with unit conversions
J.4. Unit prices: find the total price
J.5. Tipping
J.6. Discounts
J.7. Percent of a number: tax, discount, and more
J.8. Find the percent: tax, discount, and more
J.9. Sale prices: find the original price
J.10. Multi-step problems with percents
J.11. Simple interest
J.12. Compound interest

Problem solving

L.1. Multi-step word problems
L.2. Guess-and-check word problems
L.3. Use Venn diagrams to solve problems
L.4. Elapsed time word problems

Charts and graphs

M.1. Interpret tables
M.2. Interpret bar graphs
M.3. Create bar graphs
M.4. Interpret line graphs
M.5. Create line graphs
M.6. Interpret line plots
M.7. Create line plots
M.8. Interpret stem-and-leaf plots
M.9. Intepret histograms
M.10. Create histograms
M.11. Create frequency charts
M.12. Interpret box-and-whisker plots
M.13. Scatter plots
M.14. Interpret circle graphs
M.15. Circle graphs and central angles
M.16. Choose the best type of graph

Pythagorean theorem

N.1. Pythagorean theorem: find the length of the hypotenuse
N.2. Pythagorean theorem: find the missing leg length
N.3. Pythagorean theorem: find the perimeter
Pythagorean theorem: word problems
Converse of the Pythagorean theorem: is it a right triangle?




Coordinate graphs

O.1. Find points on a coordinate plane
O.2. Points on coordinate graphs
O.3. Quadrants and axes
O.4. Coordinate graphs as maps
O.5. Distance between two points


P.1. Identify complementary, suplementary, vertical, adjacent, and congruent angles
P.2. Find measures of complementary, supplementary, vertical, and adjacent angles
P.3. Transversal of parallel lines
P.4. Classify triangles
P.5. Find missing angles in triangles.
P.6. Classify quadrilaterals
P.7. Find missing angles in quadrilaterals.
P.8. Identify and classify polygons
P.9. Interior angles of polygons
P.10. Similar and congruent figures
P.11. Similar figures: side lengths and angle measures
P.12. Congruent figures: side lengths and angle measures
P.13. Perimeter
P.14. Perimeter: find the missing side
P.15. Area
P.16. Area and perimeter: word problems
P.17. Area between two shapes
P.18. Parts of a circle
P.19. Area of a circle
P.20. Circles: calculate circumference, radius, and diameter
P.21. Circles: word problems
P.22. Find lengths and measures of bisected lines and angles
P.23. Front, side, and top view
P.24. Base plans
P.25. 3-dimensional figures
P.26. Prism
P.27. Pyramid
P.28. Cylinder
P.29. Cone
P.30. Sphere
P.31. Nets of 3-dimensional figures
P.32. Surface area of cubes
P.33. Surface area of rectangular prisms
P.34. Surface area of cylinders
P.35. Surface area of pyramids
P.36. Surface area of cones
P.37. Surface area of spheres
P.38. Volume of prims
P.39. Volume of cylinders
P.40. Volume of pyramids
P.41. Volume of cones
P.42. Volume of spheres
P.43. Surface area of spheres
P.44. Similar solids
P.45. Volume of similar solids
P.46. Surface Area of similar solids
P.47. Perimeter, area, and volume: changes in scale


Q.1. Identify reflections, rotations, and translations
Q.2. Translations: graph the image
Q.3. Translations: find the coordinates
Q.4. Reflections: graph the image
Q.5. Reflections: find the coordinates
Q.6. Rotations: graph the image
Q.7. Rotations: find the coordinates
Q.8. Dilations: Enlargement or reduction
Q.9. Dilations: graph the image
Q.10. Dilations: find the coordinates
Q.11. Dilations: scale factor
Q.12. Symmetry

Number sequences

R.1. Identify arithmetic and geometric sequences
R.2. Arithmetic sequences
R.3. Geometric sequences
R.4. Number sequences: word problems
R.5. Evaluate variable expressions for number sequences
R.6. Write variable expressions for arithmetic sequences

Variable expressions

S.1. Write variable expressions
S.2. Write variable expresions to represent diagrams
S.3. Identify coefficients
S.4. Evaluate single-variable expressions (Worksheet)
S.5. Evaluate multi-variable expressions
S.6. Add and subtract like terms
S.7. Simplify variable expressions

Single-variable equations

T.1. Does x satisfy the equation?
T.2. Solve one-step linear equations
T.3. Solve two-step linear equations
T.4. Solve equations involving squares and square roots
T.5. Solve equations involving like terms
T.6. Solve multi-step equations
T.7. Identities and equations with no solutions

Linear functions

U.1. Does (x,y) satisfy the linear equation?
U.2. Evaluate a linear function
U.3. Complete a function table
U.4. Write a rule for a function table
U.5. Find points on a function graph
U.6. Graph a line from a function table
U.7. Graph a line from an equation
U.8. Linear function word problem
Find the slope of a graph
U.10. Find the slope from two points
U.11. Find the slope from an equation
U.12. Graph a line using slope
U.13. Slopes of parallel and perpendicular lines
U.14. Find the slope of parallel lines
U.15. Find the slope of perpendicular lines

Nonlinear functions

V.1. Identify linear and nonlinear functions
V.2. Does (x,y) satisfy a nonlinear equation?
V.3. Evaluate a nonlinear function


W.1. Inequalities on number lines
W.2. Solutions to variable inequalities
W.3. Solve one-step linear inequalities
W.4. Solve two-step linear inequalities
W.5. Solve advanced linear inequalities

Monomials and polynomials

X.1. Identify monomials
Add polynomials
Subtract polynomials
X.4. Add polynomials to find perimeter
Multiply monomials
X.6. Divide monomials
X.7. Powers of monomials
X.8. Square and cube roots of monomials
X.9. Multiply polynomials
X.10. Multiply polynomials to find area

Y.1. Distributive property


Z.1. Probability of simple events
Z.2. Probability of opposite (complementary) events
Z.3. Probability of mutually exclusive events
Z.4. Probability of events that are not mutually exclusive
Z.5. Experimental probability
Z.6. Make predictions
Z.7. Compound events: find the number of outcomes
Z.8. Identify independent and dependent events
Z.9. Probability of independent events
Z.10. Probability of dependent events
Z.11. Counting principle
Z.12. Factorials
Z.13. Permutations
Z.14. Combinations