PW PrintablesWorld

Math Worksheets

Missing Numbers Worksheet Generator

Free printable "fill in the missing number" worksheets for +, −, ×, ÷.

Last updated:

What this tool does

Generate printable "fill in the missing number" equations. Choose one operation (+, −, ×, ÷) or a mix, set the max number, and the generator randomises which position of the equation is left blank. Download a PDF with an optional answer key.

Settings

Configure your missing-numbers worksheet

20 problems · add · max 20 · A4

Operation

Paper size

Preview

Sample problems

First few missing-number problems.

  1. Adjust the settings to see a preview…

People also used

Create Printable Missing Numbers Worksheets: Algebra Readiness

Generate free printable “fill in the missing number” worksheets across all four operations. Each question has an equation like “7 + ___ = 15” or “___ × 6 = 42” where the student uses the inverse operation to find the blank.

Download in A4 or US Letter PDF format with an optional answer key. Designed for UK Year 2–6 and US Grade 2–5 as a stepping stone into formal algebra.

Why use this missing numbers generator?

Missing-number equations are the gentlest possible introduction to algebra: instead of solving for x, the student solves for a blank box. The same thinking that fills the blank will later solve the equation. Use the generator for:

  • building inverse-operation fluency (if 7 + ? = 15, then 15 − 7 = ?)
  • bridging from arithmetic to algebra
  • practising mental strategies without the “solve for x” notation
  • supporting students preparing for SATs-style arithmetic questions
  • fluency across all four operations

What you can customise

  • Operation: addition, subtraction, multiplication, division, or Mixed
  • Max number: caps the largest operand or result
  • Number of problems per page
  • Include answer key
  • Paper size: A4 or US Letter PDF
  • Name and date fields

The missing position is always randomised across the three slots: first operand, second operand, or result.

Notes and limitations

  • Subtraction problems are constructed so the result is never negative — this tool does not teach negative numbers.
  • Division problems always divide evenly; the generator will not produce fractional or decimal answers.
  • Mixed mode randomises operation per question, so a single page may cycle through +, −, × and ÷ in any order.
  • Print at 100% scale.

Who these worksheets are for

Parents

Sharpen mental arithmetic by forcing the inverse-operation thinking that simple “what is 7 + 8” questions do not.

Teachers

Use as a daily arithmetic starter and as an algebra-readiness check.

Homeschool families

Great for the transition year from arithmetic into pre-algebra.

Tutors

Diagnose whether a student truly understands an operation: if they can solve 7 + ? = 15 but not ? + 7 = 15, there is a conceptual gap to close.

Worksheet style options

Single operation focus

Pick just addition (for Year 2) or just multiplication (for times-table consolidation). Single-operation sheets are the best diagnostic.

Mixed

Mixed mode produces a revision sheet where the student has to identify both the operation and the missing position. Ideal for end-of-unit checks.

Blank-position variety

Because the blank is randomised to first, second, or result position, the student cannot just apply a rote strategy — they have to think about which inverse operation to use.

How to use the tool

  1. Pick the operation (or Mixed).
  2. Set the max number.
  3. Set the number of problems.
  4. Turn the answer key on if needed.
  5. Choose A4 or US Letter.
  6. Generate and download the PDF.

Worked example

With operation Addition and max 20, the generator might produce “8 + ___ = 15”, “___ + 9 = 17”, and “6 + 4 = ___”. Students use subtraction on the first two (15 − 8 = 7; 17 − 9 = 8) and simple addition on the third (6 + 4 = 10). The answer key lists 7, 8, 10 in the same order.

Methodology

The missing-numbers engine picks two operands for the chosen operation, computes the result, then randomly blanks one of the three positions. For subtraction and division it constrains operands so results are never negative and never fractional. For Mixed mode it picks a random operation per question. Every sheet is rendered through the shared branded PDF template.

Helpful preset ideas

  • Addition, max 20, 20 problems — Year 2
  • Subtraction, max 100, 20 problems — Year 3
  • Multiplication, max 144, 20 problems — times-table reinforcement
  • Mixed, max 100, 25 problems — algebra-readiness revision

Best ways to practise missing-number equations

  • Say the inverse-operation rule out loud: “If I add to get the total, I subtract to get a missing part”.
  • Treat the blank as if it were an “x” — this plants the seed of algebra without the notation.
  • Mix operations on the same sheet only once single-operation fluency is secure.
  • Connect fact-family practice to missing-number work — they are two views of the same idea.

Designed for A4 and US Letter Printing

Sheets print cleanly on both A4 and US Letter at full size, with equation-friendly spacing so the blank is clearly visible.

Related maths practice tools

FAQs

Quick answers

Which position is left blank?

The missing position is randomised across the three possibilities: first operand, second operand, or result.

Can I focus on a single operation?

Yes. Pick addition, subtraction, multiplication, or division individually, or choose "Mixed" for a random combination.

Do subtraction problems go below zero?

No. Subtraction problems always use operands where the result is positive.

Do division problems divide evenly?

Yes. The generator only produces division problems with whole-number answers.

Related tools