
Build diagnostic and summative assessments on number sequences for your primary and middle-school classes. Identify which students can recognise, continue and explain a pattern, and which need more practice before moving on.

Tutero’s number sequences assessments check whether students can identify a pattern, continue it, and explain the rule that makes it work. The questions move from simple ‘what comes next?’ items up to multi-step problems involving arithmetic and geometric sequences, so you can see exactly where each student’s reasoning starts to break down.


Each assessment is built around the skills teachers expect at this stage of learning: skip counting, identifying constant differences, working with growing and shrinking patterns, and writing a rule for a sequence. You can run them as a quick diagnostic at the start of a unit, or as a summative check at the end. Both digital and printable versions are included, so you can match the format to your classroom.
Because number sequences sit underneath fractions, ratios and early algebra, gaps here tend to cause problems later. The assessments are designed to surface those gaps clearly — which students rely on counting, which can describe a rule in words, and which can write the rule using a variable. Teachers use the results to group students, plan re-teach lessons, and set follow-up tasks for students who are ready to push further.

Item-level analytics show which students mastered each concept and which questions tripped the class up. Filter results by question type — pattern continuation, rule identification, sequence generation — and you get a clear picture of where to focus your next lesson.
Students sit the digital version on a tablet or laptop using a class code. Questions are interactive, hints are built in for younger students, and results sync back to your teacher dashboard the moment a student finishes.
Every assessment links back to a planned lesson with the same focus, so the result isn’t just a score — it’s a starting point for the next teaching block. Use the data to re-teach the rule-finding step, run an extension task on geometric sequences, or set independent practice for students who are ready.
- You in approximately four minutes
Types of Number Sequences
Students work through arithmetic sequences (constant difference), geometric sequences (constant ratio), and pattern-based sequences such as Fibonacci and square numbers. The assessment moves from concrete examples — skip counting, doubling, halving — into abstract sequences where students have to find the rule before they can continue the pattern. Printable versions cover the same concepts for classes that prefer pen-and-paper practice.
Finding the Rule in a Number Sequence
A big jump for students at this stage is moving from continuing a pattern to describing the rule. The assessment includes questions that ask students to write the rule in words, then express it using a variable, then use that rule to find the 10th, 20th or 100th term. You can see which students can do each step, which use the patterns intuitively without being able to explain them, and which are still guessing the next number rather than working it out.
Using Number Sequences in Real Problems
The final set of questions puts number sequences into context — savings that grow each week, tiles arranged in a growing pattern, bacteria that double each hour. Students translate the problem into a sequence, find the rule, and use it to answer the question. These items let you see whether students can apply pattern thinking to unfamiliar problems, which is the skill that carries straight into early algebra.