Build Your Own Random Question Generator

You don't need a computer to generate random math problems. You just need dice and cards.

This entire website is built on the idea that random questions are great for learning. They prevent rote memorisation, keep you on your toes, and ensure you're learning the method, not just the answers.

But what if you're offline? Or what if you want to help a child practice without a screen?

You can build an "analogue" random generator using simple household items. It's fun, tactile, and surprisingly effective.

The Dice Generator (Arithmetic)

Equipment: 2 or more dice (6-sided).

Level 1: Addition/Subtraction Roll two dice. Add them. Or subtract the smaller from the larger. Range: 2 to 12.

Level 2: Multiplication Roll two dice. Multiply them. Range: 1 to 36. Great for times tables.

Level 3: The Big Numbers (Place Value) Roll three dice. Arrange them to make the largest 3-digit number possible. Identifying place value strategy (put the 6 in the hundreds column!). Then roll again to make a second number. Add them.

Level 4: Operations Assign an operation to a die roll: 1 = Add 2 = Subtract 3 = Multiply 4-6 = Roll again Roll two number dice and one "operation" die. Solve.

The Deck of Cards Generator (Algebra & Negatives)

Equipment: Standard deck of cards. Remove face cards (J, Q, K) or assign them values (11, 12, 13). Red cards are negative. Black cards are positive.

Signed Addition: Draw two cards. - Black 7 (+7) and Red 4 (-4). Sum = 3. - Red 5 (-5) and Red 3 (-3). Sum = -8. Perfect for mastering negative numbers.

The Equation Builder: Draw three cards: A, B, and C. Solve for x: $Ax + B = C$. (Be prepared for fractions!).

Try These

Here are three "generator games" to play.

Generator 1: The Target Number

Roll 4 dice. Use all 4 numbers to make the number 24. (This is the tabletop version of the app).

Generator 2: The Fraction War

Each player draws 2 cards to make a fraction (smaller card on top to keep it proper, or random for improper). Compare the fractions. Largest fraction wins the round.

(Requires cross-multiplication or decimal conversion to check!)

Generator 3: The Graph Sketch

Roll 2 dice to get coordinates $(x, y)$. Plot the point. Repeat 3 times. Draw the triangle connecting them. Calculate the area.

Final Thought

Randomness is a tool. By letting the dice or cards choose the numbers, you remove the "I'll just pick easy ones" bias. You also make it a game. And math is always better when it feels like play.

Do you have a favourite math dice game? Share your rules in the comments!