Nth Term Sequences: Free Printable Worksheet for Year 8
Nth Term Sequences is a free printable worksheet for Year 8 (ages 12 to 13), in Key Stage 3. Fill the gaps and find the rule 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, and a stretch idea. Print it at home or in the classroom. Black and white printing works well.
Who this is for
Year 8 (ages 12 to 13) 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
- Linear sequences
- nth term rules
- Algebra
Pupils find and use the nth term of a linear sequence, linking to the KS3 aim of generating terms from a position-to-term rule.
Learning focus and curriculum link
Subject: Maths. 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.
- Work through the first gap together, then let pupils finish alone.
- Work through the activity together the first time. Talk about each choice.
- Check against the notes on page 2.
- Come back to it another day. Repeating a familiar activity builds confidence.
If it feels too hard
Draw the sequence as a table with n above and the term below.
To stretch confident children
Ask pupils to write their own sequence and swap it with a partner for the nth term.
Make it a game
Time pupils for two minutes and see how many nth terms they can find.
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 activity for Year 8
Children spend a lot of time on screens. This is a screen-free maths 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 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 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 worksheets for Year 8, 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 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 Nth Term Sequences for?
It is written for Year 8 (ages 12 to 13), in Key Stage 3.
What will children practise?
Pupils find and use the nth term of a linear sequence, linking to the KS3 aim of generating terms from a position-to-term rule.
How do I use it?
Work through the first gap together, then let pupils finish alone.
What if it feels too hard?
Draw the sequence as a table with n above and the term below.
Is it free?
Yes. It is free to print for home and classroom use.
Is Nth Term Sequences 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.
More free printables
More for Key Stage 3 | More maths printables | Free printable games | All Mini Minds Hub resources