Ratio & Proportion

18 Skills in Mathematics. 18 are ready to try — three verified questions each, no account needed.

Ready to try

Ages 9–12
Bar Models for Ratios
Represent ratio and proportion problems using bar models (rectangular strips divided into equal parts labelled with quantities) and tape diagrams (segmented strips showing part-to-part and part-to-whole relationships); use these visual mod…
28 verified questions on this shelf
Ages 9–11
Percentages (age 9+)
Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and out of — and understand the difference between ratio (comparing parts to parts…
10 verified questions on this shelf
Ages 10–11
Calculating Percentages
Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison
9 verified questions on this shelf
Ages 10–11
Ratio Problems
Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
21 verified questions on this shelf
Ages 10–11
Scale and similar shapes
Solve problems involving similar shapes where the scale factor is known or can be found
17 verified questions on this shelf
Ages 10–11
Understanding fractions
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
9 verified questions on this shelf
Ages 11–14
Compound Units
Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units
16 verified questions on this shelf
Ages 11–13
Dividing Quantities by Ratio
Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole
10 verified questions on this shelf
Ages 11–12
One Quantity as a Fraction
Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context
10 verified questions on this shelf
Ages 11–13
Percentages as Fractions
Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages great…
10 verified questions on this shelf
Ages 11–14
Proportion Graphs
Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed
9 verified questions on this shelf
Ages 11–14
Proportional Reasoning Vocabulary
Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts
10 verified questions on this shelf
Ages 11–12
Ratio Notation
Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations
10 verified questions on this shelf
Ages 11–13
Scale and similar shapes (age 11+)
Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa
10 verified questions on this shelf
Ages 11–12
Unit Conversions
Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places where appropriate
16 verified questions on this shelf
Ages 12–14
Percentages (age 12+)
Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest
12 verified questions on this shelf
Ages 12–14
Proportion
Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations
25 verified questions on this shelf
Ages 12–14
Ratio Notation and Relationships
Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
10 verified questions on this shelf

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.