Free Grade 3 Working with Matrix Multiplication Quizzes
Free Grade 3 quizzes for Working with Matrix Multiplication: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with matrix multiplication
Identify working with matrix multiplication accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with matrix multiplication
Explain working with matrix multiplication accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with matrix multiplication
Calculate working with matrix multiplication accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with matrix multiplication
Compare working with matrix multiplication 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 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 [[-4, 3], [5, 0]].[1]
- 2.Find the determinant of [[-2, -4], [-1, -4]].[1]
- 3.Find the determinant of [[-1, 6], [-3, 3]].[1]
- 4.Find the determinant of [[-2, 0], [6, 3]].[1]
- 5.Find the determinant of [[-2, 4], [6, 4]].[2]
- 6.Find the determinant of [[2, 1], [4, -1]].[2]
- 7.Find the determinant of [[-2, 0], [2, 1]].[2]
- 8.Find the determinant of [[2, -1], [2, -1]].[2]
- 9.Find the determinant of [[0, 1], [2, 1]].[3]
- 10.Find the determinant of [[4, 6], [6, 1]].[3]
- 11.Find the determinant of [[4, 0], [3, -3]].[3]
- 12.Find the determinant of [[2, 4], [4, 1]].[3]
Show answers and working
1. -15
det = ad − bc. -4 × 0 − 3 × 5 = -15.
2. 4
det = ad − bc. -2 × -4 − -4 × -1 = 4.
3. 15
det = ad − bc. -1 × 3 − 6 × -3 = 15.
4. -6
det = ad − bc. -2 × 3 − 0 × 6 = -6.
5. -32
det = ad − bc. -2 × 4 − 4 × 6 = -32.
6. -6
det = ad − bc. 2 × -1 − 1 × 4 = -6.
7. -2
det = ad − bc. -2 × 1 − 0 × 2 = -2.
8. 0
det = ad − bc. 2 × -1 − -1 × 2 = 0.
9. -2
det = ad − bc. 0 × 1 − 1 × 2 = -2.
10. -32
det = ad − bc. 4 × 1 − 6 × 6 = -32.
11. -12
det = ad − bc. 4 × -3 − 0 × 3 = -12.
12. -14
det = ad − bc. 2 × 1 − 4 × 4 = -14.
Worked examples
Find the determinant of [[0, 1], [-4, -3]].
- det = ad − bc.
- 0 × -3 − 1 × -4 = 4.
- Answer: 4
Find the determinant of [[6, -2], [6, 4]].
- det = ad − bc.
- 6 × 4 − -2 × 6 = 36.
- Answer: 36
Find the determinant of [[-1, 1], [5, 3]].
- det = ad − bc.
- -1 × 3 − 1 × 5 = -8.
- Answer: -8
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 Working with Matrix Multiplication quiz really free?
- Yes. Every quizzes 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, Matrix Addition. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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?
- Move on to Matrix Multiplication in Context, Matrix Addition, Identity Matrix, Determinants, which build directly on this idea.
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