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Substituting into Expressions•
Substitution

Substitution Magic Squares WORKSHEET

Suitable for Year groups: Year 7, Year 8, Year 9
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Add and subtract positive and negative integers.
Learning Objective: Substitute positive and negative integers into expressions containing up to three variables.

Substitution Magic Squares WORKSHEET DESCRIPTION

Consisting of eight different puzzles to solve, Substitution Magic Squares provides engaging substitution practice for your learners.

Section A, is made up of five magic squares and within them, each cell contains an expression in terms of a, b and c. Pupils are given a value for each variable. They must substitute these values in to find the value of each cell. Finally, pupils will find the sum of each row, column and diagonal of the magic square (which should all be the same) in order to identify the magic number. Learners will calculate with both positive and negative numbers.

Students will complete three of these puzzles in reverse in section B. Here, the magic squares are already filled with numbers. The challenge is to identify the magic number and the values for a, b and c.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Substitution Magic Squares Worksheet created for students in KS3

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Frequently Asked Questions

Students should be comfortable adding and subtracting positive and negative integers before tackling these magic squares. This foundational skill is essential because once they've substituted the given values into the algebraic expressions, they'll need to perform calculations involving both positive and negative numbers to find each cell's value and verify the magic number.