Free Grade 3 Matrix Multiplication in Context Common Errors Quizzes
Free Grade 3 quizzes for Matrix Multiplication in Context Common Errors: 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 matrix multiplication in context common errors
Identify matrix multiplication in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain matrix multiplication in context common errors
Explain matrix multiplication in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate matrix multiplication in context common errors
Calculate matrix multiplication in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare matrix multiplication in context common errors
Compare matrix multiplication in context common errors 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 Matrix Multiplication in Context Common Errors 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, 0], [2, 5]].[1]
- 2.Find the determinant of [[-4, 6], [4, -3]].[1]
- 3.Find the determinant of [[4, -1], [1, 5]].[1]
- 4.Find the determinant of [[3, 1], [0, 6]].[1]
- 5.Find the determinant of [[-3, 1], [-1, 2]].[2]
- 6.Find the determinant of [[1, -2], [3, -4]].[2]
- 7.Find the determinant of [[4, 0], [3, 1]].[2]
- 8.Find the determinant of [[0, -2], [4, -4]].[2]
- 9.Find the determinant of [[-4, -3], [5, 5]].[3]
- 10.Find the determinant of [[5, 6], [-4, 5]].[3]
- 11.Find the determinant of [[3, 5], [4, -4]].[3]
- 12.Find the determinant of [[6, 5], [0, -4]].[3]
Show answers and working
1. 20
det = ad − bc. 4 × 5 − 0 × 2 = 20.
2. -12
det = ad − bc. -4 × -3 − 6 × 4 = -12.
3. 21
det = ad − bc. 4 × 5 − -1 × 1 = 21.
4. 18
det = ad − bc. 3 × 6 − 1 × 0 = 18.
5. -5
det = ad − bc. -3 × 2 − 1 × -1 = -5.
6. 2
det = ad − bc. 1 × -4 − -2 × 3 = 2.
7. 4
det = ad − bc. 4 × 1 − 0 × 3 = 4.
8. 8
det = ad − bc. 0 × -4 − -2 × 4 = 8.
9. -5
det = ad − bc. -4 × 5 − -3 × 5 = -5.
10. 49
det = ad − bc. 5 × 5 − 6 × -4 = 49.
11. -32
det = ad − bc. 3 × -4 − 5 × 4 = -32.
12. -24
det = ad − bc. 6 × -4 − 5 × 0 = -24.
Worked examples
Find the determinant of [[0, -4], [0, 5]].
- det = ad − bc.
- 0 × 5 − -4 × 0 = 0.
- Answer: 0
Find the determinant of [[4, 3], [2, 3]].
- det = ad − bc.
- 4 × 3 − 3 × 2 = 6.
- Answer: 6
Find the determinant of [[4, 4], [5, 3]].
- det = ad − bc.
- 4 × 3 − 4 × 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 Matrix Multiplication in Context Common Errors 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 Matrix Multiplication in Context Word Problems, Matrix Multiplication in Context Techniques, Working with Matrix Multiplication. 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 Matrix Multiplication in Context Common Errors?
- Move on to Introducing Matrix Multiplication, Working with Matrix Multiplication, which build directly on this idea.
Related resources
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