Solve 2x² − 7x + 3 = 0.
Show the worked answer
(2x − 1)(x − 3) = 0, so x = ½ or x = 3.
Practice
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5 ways to practise are being updated. None is available yet: each is listed below with what it will do, followed by samples you can try now.
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The practice tools
Topical VaultBeing updated
Past-paper questions sorted by topic, with mark schemes and worked solutions; free accounts will get the first 4 topics of each subject.
MCQ practiceBeing updated
Timed or untimed multiple-choice sets that explain why every wrong option is wrong.
Above-Board questionsBeing updated
Original ConceptCIE questions written a level above the real paper, so the exam feels easier.
Exam HallBeing updated
Sit a full paper on screen, against the clock, and have it marked against the scheme.
Forecast papersBeing updated
A predicted paper per subject from the syllabus, past papers and examiner reports: a forecast, not a leak, scored in public after each series.
Samples
See how it will look
An exam-style question beside its harder Above-Board twin, and how each forecast paper is built. The questions are ConceptCIE originals.
The equation 2x² − 7x + k = 0 has two different real roots, and both roots are positive. Find the set of possible values of k.
Show the worked answer
Two different real roots: 49 − 8k > 0, so k < 49/8. Both positive: the product of the roots, k/2, is positive and their sum, 7/2, is already positive, so k > 0. Answer: 0 < k < 49/8.
Why the twin is harder: The twin turns “solve it” into “reason about it”: you need the discriminant and the sum and product of roots together.
Forecast paper
Samplea forecast, not a leakHow each forecast is built
- Syllabus coverage. Which learning objectives have not been examined for a while.
- Topic frequency. How often each topic has appeared across past series.
- Examiner reports. What examiners say students keep getting wrong.
Forecast Scorecard
| Series | Predicted | Appeared | Hit rate |
|---|---|---|---|
| No series scored yet. After each exam series we compare the forecast with the real paper and publish the hits and the misses. | |||