Choosing the Right Operators (Grades 5–6)
In these puzzles the numbers are fixed and you choose the operations (+, −, ×, ÷) to make a true equation.
Understanding choosing the right operators
Reasoning about size helps: to grow a number fast, multiply; to fine-tune, add or subtract. Sometimes more than one choice works — any that makes the equation true is correct.
Seeing it in action
Worked example
Fill the signs: 6 __ 2 __ 3 = 15.
Try ×, then +: 6 × 2 + 3 = 12 + 3 = 15. → 6 × 2 + 3 = 15.
Pick signs that make the equation true.
A common mistake, and the fix
Checking a choice left to right when the second sign is × or ÷.
For 6 __ 2 __ 3 = 15, the choice 6 + 2 × 3 looks like 8 × 3 = 24, but the multiplication comes first, so it is 6 + 6 = 12. Check each choice with the order of operations: 6 × 2 + 3 = 15 works.
Try a few
8 __ 4 __ 2 = 6
5 __ 5 __ 5 = 20
3 __ 3 __ 3 = 27
Make the Target
A calm order-of-operations game: choose the signs, watch the steps happen in order, and add parentheses.
Try it in Numeris.
A short lesson, then practice with feedback on every answer.
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
Want a printable set too?
Practise this skill in Numeris, browse more free math pages, or join our optional resource updates.
All free math pages →