Logic & Counting for Grades 6–8
Eight focused skills: counting combinations, arrangements and factorials, combinations, Venn diagrams, AND/OR logic, truth tables, deduction from clues, and logic challenges.
Browse the skills
Each card opens a parent-readable explanation. Most also link straight to matching Numeris practice; a few link to the closest practice topic instead.
Counting Combinations — the Counting Principle
To count how many ways independent choices combine, multiply the number of options at each stage.
Practice / Learn →Arrangements & Factorials
When order matters — like lining people up — count the arrangements (permutations).
Practice / Learn →Combinations — Choosing a Group
When order does not matter — like picking a team of 2 from 4 friends — count combinations.
Practice / Learn →Venn Diagrams & Sets
A Venn diagram sorts items by their properties.
Practice / Learn →Logic: AND & OR
Two statements can be combined: "A AND B" is true only when both are true; "A OR B" is true when at least one is true (so it's false only when both are false).
Practice / Learn →Truth Tables
A truth table lists every combination of true/false inputs and the resulting output, so nothing is missed.
Practice / Learn →Deduction from Clues
A deduction puzzle gives clues and asks you to find the one answer that fits all of them.
Practice / Learn →Logic Mastery Challenge
The capstone combines counting, sets, AND/OR, and deduction — a single problem may ask you to count arrangements, then deduce which one fits extra conditions.
Practice / Learn →Jump into the interactive rooms.
Use the app for free practice, or open a specific skill from any page.
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