
A curriculum-aligned ratios and rates question bank covering simple ratios, equivalent ratios, simplifying, ratio word problems, unit rates, proportional reasoning, scale drawings and speed-distance-time. Built for teachers planning Years 7-10 (Grades 6-9) maths, with mild, medium and spicy versions so every student in the class has a question pitched at the right level.
.avif)
Every Question Type Teachers Actually Need


Differentiated for the Whole Class
Real-World Problems Students Recognise

Simple ratios, equivalent ratios, simplifying ratios, ratio word problems, unit rates, proportional reasoning, scale drawings and speed-distance-time. Each strand has enough questions to cover a starter, a main lesson and a homework set without repeating the same context twice.
Three difficulty tiers per question — mild, medium and spicy — so the same lesson works for the student still building unit-rate fluency and the student ready for multi-step proportional reasoning. Answers and worked solutions included.
Recipes, paint mixing, map scales, currency conversion, fuel consumption, average speed and density. Real contexts that show students why proportional reasoning matters outside the classroom, aligned to the Australian Curriculum and Common Core proportional relationships standards.
- You in approximately four minutes
Simple Ratios, Equivalent Ratios and Simplifying
Ratio Word Problems and Unit Rates
Proportional Reasoning, Scale Drawings and Speed-Distance-Time
Foundation questions for Year 7 and Grade 6 students meeting ratios for the first time. Writing ratios in colon form, identifying equivalent ratios, simplifying to lowest terms, and sharing quantities in a given ratio. Answers walk through the multiplicative thinking so students see why a ratio of 6:9 simplifies to 2:3.
Year 8 and Grade 7 questions move into rates — quantities measured in different units — and the word problems that come with them. Best-buy unit pricing, recipe scaling, fuel economy and currency conversion. Each problem prompts students to set up the rate, then reason proportionally rather than guess.
Year 9-10 and Grade 8-9 questions extend into proportional reasoning across multiple steps, map and scale drawing calculations, and speed-distance-time problems including average speed. The spicy tier introduces inverse proportion and reasoning with rates that change over time, preparing students for senior maths.