Logic Gates — AND & OR (Grades 6–7)
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).
Understanding logic: and & or
Example: "the number is even AND greater than 5" is true for 6 and 8, but false for 3 (fails both) or 4 (not greater than 5).
Seeing it in action
Worked example
Is "even AND greater than 5" true for the number 4?
Even ✓, but greater than 5 ✗. AND needs both → False.
A common mistake, and the fix
Treating AND like OR.
“Even AND greater than 5” is false for 4: 4 is even but not greater than 5, and AND needs both parts. “Even OR greater than 5” is true for 4, because one part is enough.
Try a few
"even OR greater than 5" for 4?
it's even.
"even AND greater than 5" for 8?
"even OR greater than 5" for 3?
neither.
Two-Ring Outpost
A calm two-circle Venn diagram game for sorting sets and practicing AND/OR logic.
More logic & counting in Numeris.
Numeris doesn't have a star for logic: and & or yet, but its logic & counting constellation practises the skills around it.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
Free printable · 3 pagesText version (screen-reader friendly): Draw it. Explain it. Math sample
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