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

Find pairs of numbers that satisfy an equation with two unknowns

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

Algebra

Enumerate possibilities of combinations of two variables

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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