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# Sixth Grade skills set.

Here is a list of all of the skills students learn in Grade 6. The skills are organized into categories, and
you can move your mouse over any skill name to see a sample question.

Whole numbers

Properties of whole numbers and order of operation

Estimating with whole numbers

Number Theory

Algebra – Expressions

Algebra – Equation with one variable

Understanding integers

Addition and subtraction of integers

Multiplication and division of integers

Co-ordinate plane and functions

Comparing and ordering fractions

Multiplication and Division of Fractions

Comparing and ordering decimals

Addition and subtraction of decimals

Multiplication and division of decimals

Solving fraction and decimal equations

Sequence and Pattern

Ratio and proportion

Rates
 Example: Find the unit rate of gasolineif the cost of 5 gallons of gasoline is \$17. 1)    \$2.042)    \$3.043)    \$3.204)    \$3.40 Answer: \$3.40 Example:  1)    \$3.152)    \$3.253)    \$4.154)    \$8.50 Answer: \$4.15 Example: Assuming that you need to buy a totalof 6 liters of coke, which is a better deal for you- 2 liter bottles of coke that costs \$3.75 each or1.5 liter bottles of coke that costs \$2.95 each? Answer: 2 liter bottles of coke Example: Alexis and Sarah learn music lessonsfrom two different instructors Mr. Brown and Mrs.Taylor. Mr. Brown charges \$35 for 3 hours and Mrs.Taylor charges \$50 for 4 hours. Which instructoroffers a cheaper rate? Answer: Mr. Brown Example: What is the average speed of abus that travels 200 miles in 5 hours? 1)    20 miles/hour2)    40 miles/hour3)    45 miles/hour4)    50 miles/hour Answer: 40 miles/hour Example: Two brothers, Nicolas and Andrew, traveledby car to visit their common friend Daniel who lives 240km away from their home. They took 4 hours to reachDaniel’s house. If they want to travel back to their homein 3 hours, how much faster should they drive? 1)    10 km/hour2)    20 km/hour3)    60 km/hour4)    80 km/hour Answer: 20 km/hour

Percentages

Percent Problems in every day shopping and banking

Similar figures

Geometry – Lines and Angles

Geometry – Polygons

Measurement and geometric figures

Statistics – Mean, median, mode

Statistics – Displaying and interpreting data

Geometry – Polygon Relationships

Measurement – Area of polygons and circles

Volumes of Prisms and Cylinders

Surface area of Prisms, Pyramids and Cylinders

Addition and Subtraction of Fractions

Customary Measurement