How to Take This Test
Fifteen minutes for 25 questions gives 36 seconds each, the pace of the real exam. The topics are mixed the way Tier 1 papers mix them, from quadrants, reflections and distances through section ratios, centroids and areas to slopes, equations of lines, perpendiculars and the regions that lines cut off. Three facts settle about a third of the questions, so recall them before you start: has slope , perpendicular slopes multiply to , and meets the axes at and .
- Keep a 15-minute timer running; no notes, no calculator.
- Scoring: a correct answer gets +2, a wrong answer loses 0.50, and a skipped question gets 0.
- For a region or a reflection, sketch the axes and the points roughly before choosing; the sketch often settles the question by itself.
- Keep the explanations closed until the 15 minutes are over.
Your score. Each correct answer is worth 2 marks and each wrong one costs half a mark, out of a possible 50. Say you finish with 20 correct, 3 wrong and 2 skipped: that is 40 − 1.5 = 38.5.
| Your score (out of 50) | Next step |
|---|---|
| 40 or more | You are exam-ready on coordinate geometry. One PYQ Practice Set from this chapter every fortnight will keep the formulas quick. |
| 30 to 39.5 | The methods are known, but signs and ratios still cost marks. Every question has a topic tag: note the tags of the ones you missed and retake the quiz in the matching concept section. Lines, slopes and perpendiculars are in Slope and the Equation of a Line; ratios, centroids and areas are in Midpoint, Section Formula, Centroid and Area. |
| 20 to 29.5 | You can do most of these, only not yet at exam speed. Go back over Solved Questions and Shortcuts & Speed Methods, work Practice Sets 1 and 2 again, then return to this test in three or four days. |
| Below 20 | Rebuild the base first: read Points, Distance and Reflections and Graphs of Linear Equations again and do their quizzes, and leave timed tests until those feel easy. |
About guessing: with +2 and −0.50, a pure guess earns about +0.125 marks per question on average, rising to about +0.33 once one option is ruled out. So guess only after crossing out at least one option. In coordinate geometry the crossing out is often fast: the quadrant fixes the signs of a point's coordinates, a midpoint must lie between its two ends and a centroid inside its triangle, and the correct line must be satisfied by every point it is said to pass through.