Free Grade 3 Inverse Matrices Quizzes
Free Grade 3 quizzes for Inverse Matrices: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain inverse matrices
Explain inverse matrices accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate inverse matrices
Calculate inverse matrices accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare inverse matrices
Compare inverse matrices accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify inverse matrices
Justify inverse matrices 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 Inverse Matrices 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 [[1, 0], [2, 1]].[1]
- 2.Find the determinant of [[0, 6], [1, -3]].[1]
- 3.Find the determinant of [[-1, 5], [1, 0]].[1]
- 4.Find the determinant of [[-2, -1], [-1, -1]].[1]
- 5.Find the determinant of [[4, 2], [-1, -3]].[2]
- 6.Find the determinant of [[-3, 3], [-2, 3]].[2]
- 7.Find the determinant of [[-3, -2], [-4, -2]].[2]
- 8.Find the determinant of [[5, 6], [2, 2]].[2]
- 9.Find the determinant of [[2, 2], [5, -3]].[3]
- 10.Find the determinant of [[1, 3], [-2, 2]].[3]
- 11.Find the determinant of [[3, 0], [5, 2]].[3]
- 12.Find the determinant of [[-4, 0], [0, -4]].[3]
Show answers and working
1. 1
det = ad − bc. 1 × 1 − 0 × 2 = 1.
2. -6
det = ad − bc. 0 × -3 − 6 × 1 = -6.
3. -5
det = ad − bc. -1 × 0 − 5 × 1 = -5.
4. 1
det = ad − bc. -2 × -1 − -1 × -1 = 1.
5. -10
det = ad − bc. 4 × -3 − 2 × -1 = -10.
6. -3
det = ad − bc. -3 × 3 − 3 × -2 = -3.
7. -2
det = ad − bc. -3 × -2 − -2 × -4 = -2.
8. -2
det = ad − bc. 5 × 2 − 6 × 2 = -2.
9. -16
det = ad − bc. 2 × -3 − 2 × 5 = -16.
10. 8
det = ad − bc. 1 × 2 − 3 × -2 = 8.
11. 6
det = ad − bc. 3 × 2 − 0 × 5 = 6.
12. 16
det = ad − bc. -4 × -4 − 0 × 0 = 16.
Worked examples
Find the determinant of [[-1, -1], [3, 2]].
- det = ad − bc.
- -1 × 2 − -1 × 3 = 1.
- Answer: 1
Find the determinant of [[1, 0], [4, 6]].
- det = ad − bc.
- 1 × 6 − 0 × 4 = 6.
- Answer: 6
Find the determinant of [[-4, -1], [1, 1]].
- det = ad − bc.
- -4 × 1 − -1 × 1 = -3.
- Answer: -3
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.
Every free resource for Inverse Matrices
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Frequently asked
- Is this Grade 3 Inverse Matrices 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 Determinants, Identity Matrix, Vectors. 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 Inverse Matrices?
- Move sideways to the related concepts listed on this page, then up to the parent topic for a mixed review.
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