Young Geniuses · Ages 13 to 14
Logarithms Fill-in
Evaluate logarithm expressions and fill in the answers. A Grade 8–9 algebra 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 Logarithms Fill-in
Logarithms Fill-in introduces upper-secondary learners to logarithms, the inverse of raising a number to a power. Each question asks the student to evaluate a logarithm — to answer the question "to what power must the base be raised to give this number?" — and fill in the result. Understanding logarithms is a core part of the Grade 8 to 9 and early high-school curricula across the US, UK, Canada and Australia, and it is essential for solving exponential equations, working with logarithmic scales and much of later algebra and science. Logarithms can seem abstract at first, so starting with clean cases where the answer is a whole number — where the value really is an exact power of the base — builds confidence and a solid intuition for what a logarithm means before students meet trickier examples. The bases and values change every time, covering common bases such as two, three, five and ten, so the worksheet stays fresh and reusable, and the five levels grow the size of the powers. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key giving the value of each logarithm. There is no advertising and no sign-up. Use it to build a strong start with logarithms or alongside our number games.
Common questions
- What is a logarithm?
- The power a base must be raised to in order to give a number — the inverse of an exponent.
- 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 value of each logarithm.
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.