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Maths Exercices
Grades

Seventh 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. Prime or composite
A.2. Prime factorization
A.3. Divisibility rules
A.4. Greatest common factor
A.5. Least common multiple
A.6. GCF and LCM: word problem
A.7. Compare numbers written in scientific notation
A.8. Classify numbers

Decimal numbers
B.1. Compare and order decimals
B.2. Add decimals
B.3. Subtract decimals
B.4. Multiply decimals
B.5. Divide decimals

Integers
C.1. Understanding integers
C.2. Integers on number lines
C.3. Absolute value and opposite integers
C.4. Compare and order integers
C.5. Integer inequalities with absolute values
C.6. Add integers (Worksheet)
C.7. Subtract integers (Worksheet)
C.8. Multiply integers (Worksheet)
C.9. Divide integers (Worksheet)
C.10. Simplify expressions involving integer and absolute values

Fractions and mixed numbers
D.1. Simplify fractions
D.2. Understanding fractions
D.3. Least common denominator
D.4. Convert mixed numbers to improper fractions
D.5. Convert improper fractions to mixed numbers
D.6. Round mixed numbers
D.7. Add and subtract fractions (Worksheet)
D.8. Multiply fractions (Worksheet)
D.9. Multiply fractions and whole numbers
D.10. Multiply mixed numbers
D.11. Divide fractions (Worksheet)
D.12. Divide mixed numbers

Rational numbers
E.1. Convert between fractions and mixed numbers
E.2. Convert decimals to fractions (Worksheet)
E.3. Convert fractions to decimals (Worksheet)
E.4. Absolute value of rational numbers
E.5. Compare and order rational numbers
E.6. Add and subtract rational numbers
E.7. Multiply rational numbers
E.8. Divide rational numbers


Exponents and square roots
F.1. Understanding exponents
F.2. Evaluate exponents
F.3. Exponents: solve for the variable
F.4. Exponents with negative bases
F.5. Exponents with fractional bases
F.6. Understanding negative exponents
F.7. Evaluate negative exponents
F.8. Simplify expressions involving exponents
F.9. Square roots of perfect squares (Worksheet)
F.10. Estimate square roots

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

Percents
H.1. Convert a percent to a decimal
H.2. Convert a percent to a fraction
H.3. Convert a decimal to a percent
H.4. Convert a fraction to a percent
H.5. Compare percentages
H.6. Compare percents to decimals
H.7. Compare percents to fractions
H.8. Percents of numbers
H.9. Percents of money amounts
H.10. Percents of numbers: word problems
H.11. Solve percent equations
H.12. Solve percent equations: word problems
H.13. Percent of change
H.14. Percent of change: word problems

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

Measurement
K.1. Precision

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Charts and graphs
L.1. Interpret tables
L.2. Bar graphs
L.3. Line graphs
L.4. Histograms
L.5. Circle graphs

Geometry
M.1. Lines, line segments, and rays
M.2. Name, measure, and classify angles
M.3. Identify complementary, suplementary, vertical, adjacent, and congruent angles
M.4. Find measures of complementary, supplementary, vertical, and adjacent angles
M.5. Transversal of parallel lines
M.6. Classify triangles
M.7. Find missing angles in triangles
M.8. Classify quadrilaterals
M.9. Find missing angles in quadrilaterals
M.10. Identify and classify polygons
M.11. Interior angles of polygons
M.12. Similar and congruent figures
M.13. Similar figures: side lengths and angle measures
M.14. Congruent figures: side lengths and angle measures
M.15. Similar triangles and indirect measurement
M.16. Perimeter
M.17. Perimeter: find the missing side
M.18. Area of a square
M.19. Area of a rectangle
M.20. Area of a paralellogram
M.21. Area of a triangle
M.22. Area of a trapezoid
M.23. Area of kite and rhombus
M.24. Area of a circle
M.25. Area of a sector
M.26. Annulus area
M.27. Area and perimeter: word problems
M.28. Parts of a circle
M.29. Circles: calculate circumference, radius, and diameter
M.30. Circles: word problems
M.31. Find lengths and measures of bisected lines and angles
M.32. Front, side, and top view
M.33. 3-dimensional figures
M.34. Prism
M.35. Pyramid
M.36. Cylinder
M.37. Cone
M.38. Sphere
M.39. Nets of 3-dimensional figures
M.40. Surface area
M.41. Volume
M.42. Perimeter, area, and volume: changes in scale
M.43. Area between two shapes

Transformations
N.1. Identify reflections, rotations, and translations
N.2. Translations: graph the image
N.3. Translations: find the coordinates
N.4. Reflections: graph the image
N.5. Reflections: find the coordinates
N.6. Rotations: graph the image
N.7. Rotations: find the coordinates
N.8. Symmetry

Pythagorean theorem
O.1. Pythagorean theorem: find the length of the hypotenuse
O.2. Pythagorean theorem: find the missing leg length
O.3. Pythagorean theorem: word problems
O.4. Converse of the Pythagorean theorem: is it a right triangle?


Coordinate graphs
P.1. Find points on a coordinate plane
P.2. Find points on a function graph
P.3. Quadrants and axes
P.4. Coordinate graphs as maps

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

Variable expressions
R.1. Write variable expressions
R.2. Evaluate single-variable expressions I (Worksheet)
R.3. Evaluate single-variable expressions II
R.4. Evaluate multi-variable expressions
R.5. Evaluate variable expressions for numerators and denominators
R.6. Add and subtract like terms

Single-variable equations
S.1. Does x satisfy the equation?
S.2. Solve one-step linear equations
S.3. Solve two-step linear equations
S.4. Solve equations involving like terms

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

Linear functions
U.1. Identify proportional relationships
U.2. Find the constant of variation from graph
U.3. Find the constant of variation from a table
U.4. Find the constant of variation: word problems
U.5. Does (x.y) satisfy the linear equation?
U.6. Evaluate a function
U.7. Complete a function table
U.8. Write a rule for a function table
U.9. Find points on a function graph
U.10. Graph a line from a function table
U.11. Graph a line from an equation
U.12. Linear function word problem
U.13. Find the slope of a graph
U.14. Find the slope from two points
U.15. Find the slope from an equation
U.16. Find the slope of parallel lines
U.17. Find the slope of perpendicular lines
U.18. Graph a line using slope

Properties
V.1. Distributive property

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

Statistics