Mathematics, grade 5

Topics in this grade

• Adding fractions with the same denominator

  A fraction is a part of a whole.

  5 exercises · about 20 min

• Fractions

  A fraction shows a part of one whole.

  9 exercises

• Operations with Fractions

  Operations with fractions are what you do with parts of a whole.

  9 exercises

• Decimals

  A decimal is a number written with a decimal point.

  7 exercises

• Percentages

  A percentage is one part of a hundred equal parts.

  9 exercises

• Natural Numbers and Place Value

  Natural numbers are the numbers you count with.

  10 exercises · about 20 min

• Comparing Natural Numbers

  Comparing natural numbers means finding which one is bigger.

  10 exercises · about 20 min

• Rounding Natural Numbers

  Rounding a natural number means replacing it with a near, simpler one.

  9 exercises · about 20 min

• Adding and Subtracting Natural Numbers

  Adding and subtracting natural numbers grow and shrink a count.

  9 exercises · about 25 min

• Multiplying Natural Numbers

  Multiplying natural numbers is adding the same amount many times.

  9 exercises · about 25 min

• Dividing Natural Numbers with a Remainder

  Dividing natural numbers splits an amount into equal shares.

  9 exercises · about 25 min

• Divisibility Tests

  Divisibility tests tell you whether a number shares out evenly.

  10 exercises · about 25 min

• Prime and Composite Numbers

  Prime and composite numbers differ in how many numbers divide them.

  10 exercises · about 25 min

• Powers of a Number

  A power of a number comes from multiplying it by itself.

  9 exercises · about 25 min

• Numeric and Letter Expressions

  Numeric and letter expressions are written instructions for a calculation.

  9 exercises · about 25 min

• Simple Equations

  Simple equations are equalities that hide one number behind a letter.

  9 exercises · about 25 min

• Comparing Decimals

  Comparing decimals means finding which of two such numbers is bigger.

  10 exercises · about 25 min

• Adding and Subtracting Decimals

  Adding and subtracting decimals works like the same steps on whole numbers.

  9 exercises · about 25 min

• Multiplying Decimals

  Multiplying decimals is done by ignoring the points at first.

  9 exercises · about 25 min

• Dividing Decimals

  Dividing decimals splits such a number into equal shares.

  9 exercises · about 25 min

• Rounding Decimals

  Rounding decimals replaces a number with a shorter, nearby one.

  9 exercises · about 25 min

• Lines, Segments, Rays and Broken Lines

  Lines, segments, rays and broken lines are the simplest flat shapes.

  9 exercises · about 25 min

• The Coordinate Ray and Scales

  A coordinate ray carries equal marks with numbers on them.

  9 exercises · about 25 min

• Angles and Their Measure

  An angle is the opening between two rays with a shared start.

  9 exercises · about 25 min

• Polygons and Perimeter

  A polygon is a closed shape built from straight parts.

  9 exercises · about 25 min

• The Arithmetic Mean

  The arithmetic mean of several numbers is their total shared out evenly.

  9 exercises · about 25 min

• Scale on Maps and Plans

  A scale says how many times a drawing is smaller than reality.

  8 exercises · about 25 min

• Rectangular Solids: Volume and Surface

  A rectangular solid is a box shape with six flat faces.

  8 exercises · about 25 min

• Counting Problems

  Counting problems ask how many different ways something can be done.

  8 exercises · about 25 min

• Quantities and Their Units

  A quantity is something about an object that can be measured.

  8 exercises · about 20 min

• Equal Figures and Symmetry

  Two figures are equal when one lays exactly over the other.

  10 exercises · about 20 min

• Numbers up to Ten Million

  Numbers up to ten million use seven place-value spots.

  8 exercises · about 20 min

• Multiplying and Dividing by Powers of Ten

  Multiplying by 10, 100, or 1000 shifts every digit left.

  9 exercises · about 20 min

• Order of Operations with Brackets

  Order of operations says which action to do first.

  9 exercises · about 20 min

• Area of a Triangle

  A triangle's area is half its base times its height.

  9 exercises · about 25 min

• Volume of Cuboids and Cubes

  A cuboid's volume equals length times width times height.

  9 exercises · about 25 min

• Ratios

  Ratios compare two or more amounts side by side.

  9 exercises · about 20 min

• Multiplying and Dividing Decimals by Powers of Ten

  Multiplying a decimal by 10 shifts its point one place right.

  9 exercises · about 20 min

• Rate

  A rate compares two different kinds of amounts.

  9 exercises · about 20 min

• Average Value

  An average shows what each number would be if shared equally.

  9 exercises · about 20 min

• Angle Relationships

  Angle relationships link the sizes of angles that sit together.

  9 exercises · about 25 min

• Types of Triangles

  Triangles come in different types, based on their sides and angles.

  9 exercises · about 25 min

• Quadrilateral Properties

  Quadrilateral properties describe how the sides and angles of a shape relate.

  9 exercises · about 25 min

Where this leads

These topics feed DTM (State Testing Center), NMT (National Multi-Subject Test), ZNO (External Independent Evaluation).