Free Grade 3 Working with Working with Matrix Multiplication Techniques Quizzes
Free Grade 3 quizzes for Working with Working with Matrix Multiplication Techniques: 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.
- UnderstandExplain working with working with matrix multiplication techniques
Explain working with working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with working with matrix multiplication techniques
Calculate working with working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with working with matrix multiplication techniques
Compare working with working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with working with matrix multiplication techniques
Justify working with working with matrix multiplication techniques 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 Working with Matrix Multiplication Techniques 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, 6], [-3, 0]].[1]
- 2.Find the determinant of [[-3, 1], [3, -4]].[1]
- 3.Find the determinant of [[0, -4], [5, -1]].[1]
- 4.Find the determinant of [[-3, 4], [4, 2]].[1]
- 5.Find the determinant of [[1, -3], [1, 5]].[2]
- 6.Find the determinant of [[-1, 1], [2, -1]].[2]
- 7.Find the determinant of [[2, 1], [-2, 6]].[2]
- 8.Find the determinant of [[5, 4], [4, 1]].[2]
- 9.Find the determinant of [[-4, -2], [3, 4]].[3]
- 10.Find the determinant of [[1, 0], [2, -3]].[3]
- 11.Find the determinant of [[0, 6], [-2, 5]].[3]
- 12.Find the determinant of [[5, 5], [2, 4]].[3]
Show answers and working
1. 18
det = ad − bc. 4 × 0 − 6 × -3 = 18.
2. 9
det = ad − bc. -3 × -4 − 1 × 3 = 9.
3. 20
det = ad − bc. 0 × -1 − -4 × 5 = 20.
4. -22
det = ad − bc. -3 × 2 − 4 × 4 = -22.
5. 8
det = ad − bc. 1 × 5 − -3 × 1 = 8.
6. -1
det = ad − bc. -1 × -1 − 1 × 2 = -1.
7. 14
det = ad − bc. 2 × 6 − 1 × -2 = 14.
8. -11
det = ad − bc. 5 × 1 − 4 × 4 = -11.
9. -10
det = ad − bc. -4 × 4 − -2 × 3 = -10.
10. -3
det = ad − bc. 1 × -3 − 0 × 2 = -3.
11. 12
det = ad − bc. 0 × 5 − 6 × -2 = 12.
12. 10
det = ad − bc. 5 × 4 − 5 × 2 = 10.
Worked examples
Find the determinant of [[3, -2], [3, -4]].
- det = ad − bc.
- 3 × -4 − -2 × 3 = -6.
- Answer: -6
Find the determinant of [[5, 2], [-2, -2]].
- det = ad − bc.
- 5 × -2 − 2 × -2 = -6.
- Answer: -6
Find the determinant of [[5, 3], [0, 1]].
- det = ad − bc.
- 5 × 1 − 3 × 0 = 5.
- Answer: 5
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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- What should a learner already know before this?
- Start with Rules and Methods in Working with Matrix Multiplication Techniques, Key Vocabulary of Working with Matrix Multiplication Techniques, Working with Matrix Multiplication Essentials. Each one has its own free lesson, worksheet and quiz.
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- 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 Working with Matrix Multiplication Techniques?
- Move on to Working with Matrix Multiplication Techniques in Examinations, Working with Matrix Multiplication Essentials, Working with Matrix Multiplication Word Problems, Working with Matrix Multiplication Common Errors, which build directly on this idea.
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