Coordinate geometry mixed checkpoint
Check your reasoning across the pathway and choose the exact lesson to revisit.
What you will learn
- Connect coordinates, gradients and equations in mixed questions.
- Identify a skill to revisit rather than treating lesson completion as mastery.
Choose the requirements for your tier
The Core attempt has five questions on coordinates, linear graphs, grid gradients, line equations and parallel lines. Extended adds five questions on direct coordinate gradients, distance, midpoint, general line equations and perpendicular bisectors. Start with the tier you are studying; changing tier starts a fresh attempt.
Work on paper before selecting an answer. A correct choice is evidence for this question only, not proof that you have mastered the whole topic. After checking a response, read the explanation and follow the linked lesson if your method needs work.
Use the result to plan one useful return
The end of the check groups the skills you missed on your first attempt and links to their teaching lessons. Rework a similar question without the answer visible. You can use each lesson's saved review choice to plan another visit, then return to this checkpoint when you are ready.
This practice attempt is not saved as an exam score and does not mark lessons complete. The questions sample the pathway rather than replace a full exam paper or a teacher's assessment. Written practice remains self-checked against the worked reasoning.
Coordinate geometry checkpoint
Changing tier starts a fresh attempt. This practice check is not saved as a grade or used to mark lessons complete.
Question 1 of 5 · Core and Extended
A point is four units left and two units above the origin. Which pair describes it?
Worked example
A = (−2, 1) and B = (4, 5). Find the segment's gradient and its perpendicular bisector.
Show the worked solution
- The segment gradient is (5 − 1)/(4 − (−2)) = 4/6 = 2/3.
- The midpoint is ((−2 + 4)/2, (1 + 5)/2) = (1, 3). The perpendicular gradient is −3/2.
- Substitute the midpoint: 3 = (−3/2) × 1 + c, so c = 9/2. The bisector is y = −(3/2)x + 9/2.
- Check: the gradients multiply to −1, and (1, 3) lies on the bisector.
Answer Gradient 2/3; bisector y = −(3/2)x + 9/2 (Extended).
Common mistakes
- Choosing an answer without checking the coordinate order or signs.
- Treating a correct multiple-choice response as proof of broad mastery.
- Trying Extended-only requirements before identifying your tier.
What can you explain now?
A plotted line runs four units right and falls six units. What is its gradient?
Compare with the explanation
−3/2
The signed vertical change is −6 and the horizontal change is 4; −6/4 simplifies to −3/2.
After trying it yourself, choose your next review. This is your self-assessment.
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Original StudyForA teaching content · AI-assisted checks · Human teacher review pending.
Number contains 19 sequenced lessons; Algebra and graphs contains 21; Coordinate geometry contains 10 teaching lessons; Geometry contains 15. Coordinate geometry and Geometry each have a mixed checkpoint. Nine earlier overviews support selected topics across the syllabus. The other five syllabus areas, full cumulative assessment and human teacher review are not yet complete. Written lesson practice and paper constructions are self-checked, not automatically graded. The checkpoints sample skills and do not save an exam grade or certify mastery.
Check the official syllabus 2025–2027 Open related practice and resources