Indices and Powers: Free Printable Worksheet for Year 7
Indices and Powers is a free printable worksheet for Year 7 (ages 11 to 12), in Key Stage 3. Use the index laws to simplify It comes from the Mini Minds Hub, a growing library of free printables from Jaques of London, the British games and toy company that has been making games for families since 1795.
It is two A4 pages. Page 1 is the activity for children. Page 2 is for the grown-up: it has notes on how to use the sheet, help for children who find it hard, a stretch idea, and the answers. Print it at home or in the classroom. Black and white printing works well.
What is on the sheet
This worksheet includes numbered questions with space to answer.
A look at what children will meet:
- 3^2 x 3^4 = 3^?
- 5^7 ÷ 5^3 = 5^?
- (2^3)^2 = 2^?
- 7^0 = ?
- a^3 x a^5 = ?
- Work out 2^5
- Work out 10^3
- y^9 ÷ y^4 = ?
Who this is for
Year 7 (ages 11 to 12) in Key Stage 3.
Key Stage 3 covers Years 7 to 9, ages 11 to 14. Learners are moving from remembering facts to applying them, so tasks that ask for a reason or a method are worth more than quick answers. Use it at home, in class, on a rainy afternoon or at a family gathering.
What children practise
- Index laws
- Simplifying
- Powers
Apply the index laws for multiplying, dividing and raising to a power.
Learning focus and curriculum link
Subject: Maths: Algebra. Key stage: Key Stage 3. It supports the subject at this level through short, focused practice.
This sheet is a practice and play activity. It supports classroom learning and is not a replacement for it.
How to use it
- Print both pages. Page 1 is for the child. Keep page 2 for the grown-up.
- Independent practice after teaching the three index laws. Allow 15 minutes and check with a partner.
- Work through the activity together the first time. Talk about each choice.
- Check against the notes on page 2 and the answers.
- Come back to it another day. Repeating a familiar activity builds confidence.
If it feels too hard
Write the first three as long multiplications (3 x 3 x 3 x 3 x 3 x 3) so the pattern in the powers is clear.
To stretch confident children
Ask the child to write a rule for what happens to the powers in (a^m)^n and to make up two questions for a partner.
Make it a game
Roll a die twice for the bases and powers, then write and simplify the product.
Tips for parents and teachers
- Print on plain A4 paper. Black and white printing works too.
- Work through it together the first time, then let children try alone.
- Praise effort and thinking, not only correct answers.
A screen-free maths: algebra activity for Year 7
Children spend a lot of time on screens. This is a screen-free maths: algebra activity that needs only paper and a pencil. It works as quiet time after school, a rainy day activity, a holiday boredom buster or a calm moment before bed. Screen-free learning gives eyes a rest and gets children talking, thinking and writing by hand.
Free maths: algebra resources for teachers
Teachers can use this worksheet as a starter, a plenary, an early finisher task, a supply teacher resource, a homework task or a table activity. It needs no preparation beyond printing. The learning focus and skills are listed above so you can match it to your planning, and page 2 gives support and stretch ideas for mixed ability groups.
Maths: Algebra ideas for parents at home
You do not need to be a teacher to use this. Read the sheet through, sit with your child for the first go and let them lead. Short bursts of ten to fifteen minutes work better than long sessions. If you are looking for free maths: algebra worksheets for Year 7, or simple home learning for the weekend or school holidays, this is a good place to start.
Home education and tutoring
Home educators and tutors can print this as part of a wider maths: algebra plan. It pairs well with books, outdoor play and everyday talk. Because the sheet is free and printable, you can use it again for brothers and sisters or for revision a few weeks later.
Why it helps children learn
Hands-on, paper based activities slow learning down in a good way. Children read carefully, think before they answer and see their own progress on the page. Games and challenges add a reason to keep going. That mix of play and practice is why printable activities like this are popular with parents, teachers and home educators.
Frequently asked questions
What age is Indices and Powers for?
It is written for Year 7 (ages 11 to 12), in Key Stage 3.
What will children practise?
Apply the index laws for multiplying, dividing and raising to a power.
How do I use it?
Independent practice after teaching the three index laws. Allow 15 minutes and check with a partner.
What if it feels too hard?
Write the first three as long multiplications (3 x 3 x 3 x 3 x 3 x 3) so the pattern in the powers is clear.
Is it free?
Yes. It is free to print for home and classroom use.
Is Indices and Powers suitable for teachers to use in class?
Yes. Teachers can use it as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing.
Is this a screen-free activity?
Yes. It is a screen-free printable that needs only paper and a pencil, so it works well for quiet time, rainy days and school holidays.
Can I use it for home education?
Yes. Home educators and tutors can use it on its own or as part of a wider plan. It is free to print again for brothers, sisters or revision.
How long does it take?
Most children finish page 1 in 10 to 20 minutes. The notes on page 2 suggest ways to make it shorter or longer.
Do I need to print in colour?
No. It prints well in black and white on plain A4 paper.
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