EJU Mathematics Course 1 study plan

EJU Mathematics Course 1 · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Mathematics (Course 1 syllabus)

Diagnose current ability by completing a timed, full-length practice test under exam conditions (Course 1 format) and recording raw scores per topic.
Classify every missed question into one of the syllabus strands (numbers and expressions, quadratic functions, geometry, data analysis, probability, integer properties).
Build a prioritized error log that ranks strands by error frequency and assigns a target score for each.
Relearn the core definitions and formulas for numbers and expressions (real numbers, exponents, radicals, factoring) and verify each by solving three representative problems.

A one-page diagnostic report with per-strand error counts, a ranked priority list, and specific target scores for each strand.

Week 2

Master quadratic function transformations by converting among standard, vertex, and factored forms for at least 15 equations.
Solve quadratic inequalities and interpret solution sets on a number line, including cases with no real roots.
Determine the number of real roots using the discriminant and connect it to the graph's vertex position.
Complete 25 mixed quadratic-function problems under a 40-minute timer and review every error.

A timed 25-question quadratic-function set with a corrected error analysis showing the cause of each mistake.

Week 3

Apply the properties of integer division (quotient, remainder, divisibility rules) to solve 20 problems involving divisors and remainders.
Use the Euclidean algorithm to compute greatest common divisors and solve linear Diophantine-style remainder problems.
Solve counting problems using permutations and combinations, distinguishing ordered from unordered selection.
Compute basic probabilities, including complementary events and mutually exclusive cases, on 20 problems.

A formula sheet for integer properties and counting/probability, plus 20 solved problems with written justifications.

Week 4

Solve triangle geometry problems using the sine rule, cosine rule, and area formulas, including ambiguous cases.
Apply circle theorems (inscribed angles, tangent-chord, power of a point) to 15 multi-step problems.
Compute lengths, angles, and areas in coordinate geometry using distance, midpoint, and line equations.
Complete a 50-minute cumulative test covering weeks 1-4 topics and score at least 70%.

A cumulative test result of 70% or higher, with a list of remaining weak objectives for weeks 5-6.

Week 5

Interpret and construct scatter plots, histograms, and box plots, and compute mean, median, mode, and range from raw data.
Calculate variance and standard deviation for small data sets and explain the effect of outliers.
Solve correlation and regression-line problems, including predicting values and interpreting the slope.
Complete 20 data-analysis problems under timed conditions and correct all errors.

A data-analysis problem set with all calculations shown and a summary of common misinterpretations to avoid.

Week 6

Integrate all strands by solving 30 mixed-topic problems in a single 60-minute session, simulating exam pacing.
Identify the three most persistent error types from weeks 1-5 and write a corrective procedure for each.
Re-solve every previously missed problem from the error log without notes, confirming mastery.
Reduce average time per problem to the target pace by drilling 20 easy-to-medium problems.

A revised error log showing zero repeat errors on re-solved problems and a documented pacing benchmark.

Week 7

Take two full-length timed practice exams under strict conditions and record scores and time allocation per section.
Analyze each exam to find time sinks and questions skipped due to pacing, then adjust strategy.
Target the lowest-scoring strand with 15 focused problems and verify improvement on a mini-quiz.
Memorize all formulas and theorems on the personal formula sheet through active recall.

Two full-length exam scores with a written pacing analysis and a revised test-day strategy.

Week 8

Complete a final full-length practice exam and achieve the target score set in week 1.
Review only the error log and formula sheet, avoiding new material to consolidate retention.
Simulate exam-day logistics (timing, breaks, materials) in a final timed session.
Write a concise personal checklist of reminders for exam day based on recurring errors.

A final practice exam score meeting the week-1 target, plus a one-page exam-day checklist.

Week 2: Score at least 70% on a 15-question quadratic-function quiz and correctly convert among all three quadratic forms without notes.

Week 4: Achieve 70% or higher on the cumulative weeks 1-4 test, with no more than two errors in geometry.

Week 6: Complete the 30-problem mixed set within 60 minutes with at least 75% accuracy and no repeated error types from the log.

Week 8: Reach the week-1 target score on a full-length timed practice exam and demonstrate pacing within 5 minutes of the target time.