Free Grade 3 Introducing Parallel and Perpendicular Lines Word Problems Quizzes
Free Grade 3 quizzes for Introducing Parallel and Perpendicular Lines Word Problems: 12 real questions with a full answer key and worked solutions. A coordinate (x, y) gives a position: across first, then up. The gradient of a line is rise over run, and y = mx + c describes a straight line.
Free
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing parallel and perpendicular lines word problems
Identify introducing parallel and perpendicular lines word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing parallel and perpendicular lines word problems
Explain introducing parallel and perpendicular lines word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing parallel and perpendicular lines word problems
Calculate introducing parallel and perpendicular lines word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing parallel and perpendicular lines word problems
Compare introducing parallel and perpendicular lines 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 Introducing Parallel and Perpendicular Lines Word Problems works
A coordinate (x, y) gives a position: across first, then up. The gradient of a line is rise over run, and y = mx + c describes a straight line.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Which quadrant is the point (1, -5) in?[1]
- 2.Which quadrant is the point (6, 6) in?[1]
- 3.Which quadrant is the point (5, -5) in?[1]
- 4.Which quadrant is the point (-1, 3) in?[1]
- 5.Find the midpoint of (-2, -6) and (0, -14).[2]
- 6.Find the midpoint of (-2, -6) and (4, 0).[2]
- 7.Find the midpoint of (-6, -3) and (4, 5).[2]
- 8.Find the midpoint of (-2, -5) and (8, -13).[2]
- 9.Find the equation of the line through (-5, -3) and (-3, 3).[3]
- 10.Find the equation of the line through (-1, -4) and (9, -10).[3]
- 11.Find the equation of the line through (6, 6) and (10, 12).[3]
- 12.Find the equation of the line through (-1, -5) and (3, 1).[3]
Show answers and working
1. Fourth quadrant
x is positive, y is negative. Quadrants go anticlockwise from top-right.
2. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
3. Fourth quadrant
x is positive, y is negative. Quadrants go anticlockwise from top-right.
4. Second quadrant
x is negative, y is positive. Quadrants go anticlockwise from top-right.
5. (-1, -10)
Average the x values: (-2 + 0) ÷ 2 = -1. Average the y values: (-6 + -14) ÷ 2 = -10.
6. (1, -3)
Average the x values: (-2 + 4) ÷ 2 = 1. Average the y values: (-6 + 0) ÷ 2 = -3.
7. (-1, 1)
Average the x values: (-6 + 4) ÷ 2 = -1. Average the y values: (-3 + 5) ÷ 2 = 1.
8. (3, -9)
Average the x values: (-2 + 8) ÷ 2 = 3. Average the y values: (-5 + -13) ÷ 2 = -9.
9. y = 3x + 12
Gradient m = (3 − -3) / (-3 − -5) = 3. Substitute (-5, -3): c = -3 − 3 × (-5) = 12.
10. y = -0.6x − 4.6
Gradient m = (-10 − -4) / (9 − -1) = -0.6. Substitute (-1, -4): c = -4 − -0.6 × (-1) = -4.6.
11. y = 1.5x − 3
Gradient m = (12 − 6) / (10 − 6) = 1.5. Substitute (6, 6): c = 6 − 1.5 × 6 = -3.
12. y = 1.5x − 3.5
Gradient m = (1 − -5) / (3 − -1) = 1.5. Substitute (-1, -5): c = -5 − 1.5 × (-1) = -3.5.
Worked examples
Which quadrant is the point (-3, -1) in?
- x is negative, y is negative.
- Quadrants go anticlockwise from top-right.
- Answer: Third quadrant
Find the midpoint of (6, -4) and (16, -4).
- Average the x values: (6 + 16) ÷ 2 = 11.
- Average the y values: (-4 + -4) ÷ 2 = -4.
- Answer: (11, -4)
Find the equation of the line through (-1, -1) and (9, -7).
- Gradient m = (-7 − -1) / (9 − -1) = -0.6.
- Substitute (-1, -1): c = -1 − -0.6 × (-1) = -1.6.
- Answer: y = -0.6x − 1.6
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Plots (y, x) instead of (x, y).
Correction: Along the corridor, then up the stairs.
Calculates gradient as run over rise.
Correction: Gradient = change in y ÷ change in x.
Teacher tips
- · Play coordinate battleships.
Parent tips
- · Find places on a map using grid references.
Real-life applications
- · Maps, game boards, GPS.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Parallel and Perpendicular Lines Word Problems 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 Parallel and Perpendicular Lines Techniques, Introducing Parallel and Perpendicular Lines Essentials, y = mx + c. 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 Introducing Parallel and Perpendicular Lines Word Problems?
- Move on to Introducing Parallel and Perpendicular Lines Common Errors, Working with Parallel and Perpendicular Lines, Parallel and Perpendicular Lines in Context, which build directly on this idea.
Related resources
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