Young Geniuses · Ages 13 to 14

Inverse and Composite Functions Match

Match each function to its inverse. A Grade 8–9 functions worksheet with answer keys.

Match WorksheetGrades functions, inverse, matching5 difficulty levels10 questions

The learning journey

Every activity is one step. Here is where this one fits.

  1. PlayLearn the idea in a game
  2. Practise(you are here)Lock it in on paper
  3. ReviewCome back and keep it sharp
  4. MasterTake on a harder challenge
  5. AchieveEarn a certificate

About Inverse and Composite Functions Match

Inverse and Composite Functions Match helps upper-secondary learners understand inverse functions: the function that reverses the effect of another. Down one side are linear functions, and down the other their inverses; the student joins each function to the rule that undoes it. Finding the inverse of a function is a core Grade 8 to 9 algebra expectation across the US, UK, Canada and Australia, and it deepens understanding of what a function actually does by asking students to reverse it — to swap input and output and rearrange. Presenting it as a matching task keeps the practice active and lets students compare several functions and inverses at once, reinforcing the method of reversing each operation in turn. The functions are linear so the inverses are clean and the focus stays on the concept. Because the functions change each time, the worksheet stays fresh and reusable, and the five levels vary the coefficients. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key giving the correct inverse for each function. There is no advertising and no sign-up. Use it to build understanding of functions or alongside our algebra games for the same age range.

Common questions

What is an inverse function?
The function that reverses another, undoing each operation in turn.
What grade is this for?
Grade 8 to Grade 9 learners aged 13 to 14.
Is an answer key included?
Yes, every level gives the correct inverse for each function.

A hand for grown-ups

Before you start
Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
While they work
Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
Afterwards
Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
Watch out for
Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
Away from the screen
Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.

Chosen by the skills this activity practises.