Free Grade 3 Introducing Matrix Multiplication Word Problems Worksheets
Free Grade 3 worksheets for Introducing Matrix Multiplication Word Problems: 12 real questions with a full answer key and worked solutions. A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing matrix multiplication word problems
Identify introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing matrix multiplication word problems
Explain introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing matrix multiplication word problems
Calculate introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing matrix multiplication word problems
Compare introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Matrix Multiplication Word Problems works
A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the determinant of [[3, -2], [2, 2]].[1]
- 2.Find the determinant of [[-4, 0], [-1, -2]].[1]
- 3.Find the determinant of [[3, -2], [5, 3]].[1]
- 4.Find the determinant of [[4, 4], [5, 3]].[1]
- 5.Find the determinant of [[-1, -3], [3, 4]].[2]
- 6.Find the determinant of [[6, 3], [-2, -3]].[2]
- 7.Find the determinant of [[3, 6], [-2, -4]].[2]
- 8.Find the determinant of [[-1, 4], [-4, 0]].[2]
- 9.Find the determinant of [[0, 5], [2, -3]].[3]
- 10.Find the determinant of [[3, 2], [0, -4]].[3]
- 11.Find the determinant of [[4, -3], [-3, -2]].[3]
- 12.Find the determinant of [[2, 4], [4, 2]].[3]
Show answers and working
1. 10
det = ad − bc. 3 × 2 − -2 × 2 = 10.
2. 8
det = ad − bc. -4 × -2 − 0 × -1 = 8.
3. 19
det = ad − bc. 3 × 3 − -2 × 5 = 19.
4. -8
det = ad − bc. 4 × 3 − 4 × 5 = -8.
5. 5
det = ad − bc. -1 × 4 − -3 × 3 = 5.
6. -12
det = ad − bc. 6 × -3 − 3 × -2 = -12.
7. 0
det = ad − bc. 3 × -4 − 6 × -2 = 0.
8. 16
det = ad − bc. -1 × 0 − 4 × -4 = 16.
9. -10
det = ad − bc. 0 × -3 − 5 × 2 = -10.
10. -12
det = ad − bc. 3 × -4 − 2 × 0 = -12.
11. -17
det = ad − bc. 4 × -2 − -3 × -3 = -17.
12. -12
det = ad − bc. 2 × 2 − 4 × 4 = -12.
Worked examples
Find the determinant of [[-2, 3], [-2, 1]].
- det = ad − bc.
- -2 × 1 − 3 × -2 = 4.
- Answer: 4
Find the determinant of [[6, 6], [0, -2]].
- det = ad − bc.
- 6 × -2 − 6 × 0 = -12.
- Answer: -12
Find the determinant of [[4, 3], [1, -4]].
- det = ad − bc.
- 4 × -4 − 3 × 1 = -19.
- Answer: -19
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Calculates ab − cd.
Correction: Multiply the diagonals: ad − bc.
Gets signs wrong with negatives.
Correction: Bracket negatives before multiplying.
Teacher tips
- · Colour the two diagonals in different colours.
Parent tips
- · Point out spreadsheets as grids of numbers.
Real-life applications
- · Computer graphics, transformations.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Matrix Multiplication Word Problems worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Matrix Multiplication Techniques, Introducing Matrix Multiplication Essentials, Matrix Addition. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Matrix Multiplication Word Problems?
- Move on to Introducing Matrix Multiplication Common Errors, Working with Matrix Multiplication, Matrix Multiplication in Context, which build directly on this idea.
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