Free Grade 3 Working with Matrix Multiplication Word Problems Flashcards
Free Grade 3 flashcards for Working with 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with matrix multiplication word problems
Identify working with matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with matrix multiplication word problems
Explain working with matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with matrix multiplication word problems
Calculate working with matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with matrix multiplication word problems
Compare working with 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 Working with 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, 1], [1, -4]].[1]
- 2.Find the determinant of [[-4, -3], [0, -3]].[1]
- 3.Find the determinant of [[3, -4], [6, -2]].[1]
- 4.Find the determinant of [[1, -1], [-3, -3]].[1]
- 5.Find the determinant of [[6, -3], [2, -2]].[2]
- 6.Find the determinant of [[0, -2], [-3, 0]].[2]
- 7.Find the determinant of [[-3, 1], [-3, -2]].[2]
- 8.Find the determinant of [[0, -1], [-1, 0]].[2]
- 9.Find the determinant of [[-2, -4], [2, 1]].[3]
- 10.Find the determinant of [[-2, 5], [0, -4]].[3]
- 11.Find the determinant of [[-3, 3], [3, -4]].[3]
- 12.Find the determinant of [[2, 6], [3, 3]].[3]
Show answers and working
1. 11
det = ad − bc. -3 × -4 − 1 × 1 = 11.
2. 12
det = ad − bc. -4 × -3 − -3 × 0 = 12.
3. 18
det = ad − bc. 3 × -2 − -4 × 6 = 18.
4. -6
det = ad − bc. 1 × -3 − -1 × -3 = -6.
5. -6
det = ad − bc. 6 × -2 − -3 × 2 = -6.
6. -6
det = ad − bc. 0 × 0 − -2 × -3 = -6.
7. 9
det = ad − bc. -3 × -2 − 1 × -3 = 9.
8. -1
det = ad − bc. 0 × 0 − -1 × -1 = -1.
9. 6
det = ad − bc. -2 × 1 − -4 × 2 = 6.
10. 8
det = ad − bc. -2 × -4 − 5 × 0 = 8.
11. 3
det = ad − bc. -3 × -4 − 3 × 3 = 3.
12. -12
det = ad − bc. 2 × 3 − 6 × 3 = -12.
Worked examples
Find the determinant of [[-1, -3], [-1, 2]].
- det = ad − bc.
- -1 × 2 − -3 × -1 = -5.
- Answer: -5
Find the determinant of [[5, 3], [-3, -2]].
- det = ad − bc.
- 5 × -2 − 3 × -3 = -1.
- Answer: -1
Find the determinant of [[3, -3], [-1, -2]].
- det = ad − bc.
- 3 × -2 − -3 × -1 = -9.
- Answer: -9
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
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Frequently asked
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- Yes. Every flashcards 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 Working with Matrix Multiplication Techniques, Working with Matrix Multiplication Essentials, Introducing Matrix Multiplication. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Working with Matrix Multiplication Word Problems?
- Move on to Working with Matrix Multiplication Common Errors, Introducing Matrix Multiplication, Matrix Multiplication in Context, which build directly on this idea.
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