Grade 6 math practice

A. Number Sense

1. Multiply decimals by decimals
2. Divide decimals by decimals
3. Exponent laws and powers of 10
4. Square roots: exact and estimated
5. BEDMAS with integers and exponents

B. Fractions

1. Multiply fractions and mixed numbers
2. Divide fractions and mixed numbers
3. Fractions to decimals (terminating and repeating)
4. Decimals to fractions (terminating and repeating)
5. Fraction word problems

C. Integers

1. Integer operations
2. Integer word problems

D. Ratios, Rates and Percent

1. Solve proportions
2. Unit rates and best buys
3. Speed, distance and time
4. Average speed and upstream/downstream
5. Percent increase and decrease
6. Multi-step percent increase and decrease
7. Discounts, sales tax and original prices

E. Factors, Primes and Puzzles

1. GCF and LCM word problems
2. Using prime factorization
3. Divisibility puzzles
4. Alphametics (letter-digit puzzles)

F. Algebra

1. Simplify expressions
2. Solve equations (including variables on both sides)
3. Write and solve equations from word problems
4. Solve inequalities
5. Linear patterns and tables of values
6. Coding: trace the program

G. Triangles and Pythagoras

1. Pythagorean theorem: find the hypotenuse
2. Pythagorean theorem: find a missing leg
3. Pythagorean theorem in real life
4. Is it a right triangle?
5. Area of triangles
6. Heron's formula
7. Equilateral triangles: height and area

H. Area of Polygons

1. Area of trapezoids
2. Area of a regular hexagon
3. Area of regular polygons (apothem)
4. Area of polygons on a grid
5. Composite shapes in real life
6. Angles in polygons

I. Volume and Surface Area

1. Volume and surface area of cubes
2. Volume and surface area of prisms
3. Circles: circumference and area
4. Volume of a sphere

J. Coordinate Geometry

1. Distance formula
2. Midpoint formula
3. Section formula (dividing a segment in a ratio)
4. Slope as rise over run

K. Coordinates and Transformations

1. The four-quadrant plane
2. Reflections and rotations

L. Measurement

1. Unit conversions

M. Contest Problems

1. Geometry puzzles (contest style)
2. Number puzzles (contest style)
3. Counting and logic (contest style)

N. Data and Probability

1. Mean, median, mode, range and outliers
2. Averages in word problems
3. Probability of combined events

O. Financial Literacy

1. Simple interest
2. Compound interest
3. Currency exchange