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.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- 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.
Where to go next
Chosen by the skills this activity practises.