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Grade 5

Grade 5 Mathematics Practice

Explore Grade 5 mathematics through decimals, divisibility, equations, Roman numerals, geometry, charts, combinatorics and probability.

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Tests for this grade

12 tests
Angles

An angle is a geometric figure formed by two rays or straight lines that share a common endpoint, called the vertex, but extend in different directions. Angles are typically measured in degrees (°), but they can also be expressed in other units such as radians or gradians. Angles can vary in size and shape depending on the degree of their opening and other geometric properties. For example, a right angle has an opening of 90 degrees, while a straight angle has an opening of 180 degrees. Angles are a fundamental concept used in mathematics and various other fields where geometry is applied.

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Solving the simplest equations

Solving simple equations typically involves isolating the variable on one side of the equation. Remember to perform the same operation to both sides of the equation to maintain equality.

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Combinatorics and probabilities

Combinatorics is the branch of mathematics concerned with the counting, arrangement, and organization of objects or elements into sets, especially when the exact details of each object are less important than the overall assessment of the structure or pattern. Probabilities, on the other hand, relate to the likelihood or chance of events. It is a branch of mathematics that deals with the amount of uncertainty or probability. It involves calculations that estimate the probability of different outcomes under certain assumptions or conditions.

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Fractions

What are fractions and what are they used for? Fractions are mathematical phenomena that represent a part of a whole. They consist of two numbers: the numerator (the number at the top) and the denominator (the number at the bottom), separated by a horizontal line. The numerator represents the part we are considering, and the denominator represents all the equal parts that make up the whole.

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Numbers in Roman numeration

In Roman numerals, the symbols represent the following values: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. These symbols are combined to represent different numbers.

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Divisibility rules

This test helps students learn and practice the divisibility rules for 2, 3, 5, 9 and 10. Dynamic questions teach students to determine which numbers divide a natural number and to apply divisibility rules in practical situations.

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Number sequences and patterns

Dynamic tasks help students recognise number patterns, find missing terms, continue increasing and decreasing sequences, and understand input-output tables.

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Symmetry and transformations

Dynamic tasks about lines of symmetry, reflection, central symmetry, rotation and translation. The test develops the ability to recognise and apply geometric transformations.

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Charts and data

This test teaches students to read and interpret bar, line and pie charts and frequency tables, and to calculate totals, differences and averages.

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Perimeter and area

Dynamic tasks on calculating the perimeter and area of squares, rectangles, right triangles and composite shapes. The test also includes missing-side and practical fencing problems.

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Full Grade 5 test
All grade topics

Full Grade 5 test

Full Grade 5 mathematics test with mixed topics, dynamically selected questions and a choice of duration. Practise before an assessment or review the whole course at your own pace.

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Learning guide

Grade 5 Mathematics topics

Key mathematics topics for this grade. Schools may teach them in a different order or add to their own plan.

  • Natural numbers, operations, divisibility and order of operations
  • Common and decimal fractions
  • Early ratio, percentage and scale
  • Shapes, angles, perimeter, area and volume
  • Tables, charts, mean and early probability

These topics are a guide for practice. Your school may cover them in a different order or add other material.

Mathematics practice without pressure

Short mathematics tests help reinforce classroom topics, check understanding and identify what to review. Work through one topic at a time or return later; selected tests can be started without an account.