Combinations of Two Variables

Year 6 MathsAlgebra1 page

About this worksheet

A one-page exit ticket on combinations of two variables for Year 6 maths. Pupils list every pair of positive whole numbers where a + b = 6, then count the sandwich-and-drink combinations a cafe can offer from 3 sandwiches and 2 drinks. Three identical slips sit on one page, so a single print serves three pupils. Matched to two England National Curriculum algebra objectives.

Curriculum objectives covered

Algebra

โ€œFind pairs of numbers that satisfy an equation with two unknownsโ€

The first question asks for every valid pair, not just one.

Algebra

โ€œEnumerate possibilities of combinations of two variablesโ€

The cafe question counts combinations systematically.

What's inside this worksheet

Question 1: a + b = 6

Pupils list all the pairs of positive whole numbers that work.

Question 2: Cafe combinations

Three sandwiches and two drinks; pupils count the possible meal combinations.

Mood check

Each slip closes with a five-emoji feelings check.

How teachers use it

Exit ticket

Two questions fit the final five minutes of an algebra lesson.

Assessment check

Complete lists show systematic thinking; missing pairs show where to reteach.

Lesson starter

Also works as a recall warm-up the day after teaching combinations.

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