Edexcel GCSE · 試験対策

Mathematics (1MA1) 試験対策

Master the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Foundation Tier with our expert examiner-backed guide. Discover how to pick up easy marks on early non-calculator drills, dodge rounding and time-unit conversion traps on Papers 2 and 3, and structure multi-step answers to maximize your process marks.

読了時間 4 分更新日: 2026年6月21日

試験の概要

試験数
3
満点
240
制限時間
4時間 30分
出題形式
3
試験時間配点問題数配点比率出題形式
Paper 1 (Non-Calculator)1時間 30分802833.33%Short Answer, Structured Problem Solving, Multi-Step Application
Paper 2 (Calculator)1時間 30分802833.33%Short Answer, Structured Problem Solving, Multi-Step Application
Paper 3 (Calculator)1時間 30分802933.33%Short Answer, Structured Problem Solving, Multi-Step Application
評価段階
54321U
電卓の規定

A scientific or graphical calculator that meets JCQ regulations may be used (some GCSE Mathematics and Science papers are non-calculator). Graphical calculators must be set to exam mode; you must clear any stored programs, notes or data before the exam, and the calculator must not be able to retrieve stored text or formulae.

  • AO1: AO1: Use and apply standard techniques (50%)
  • AO2: AO2: Reason, interpret and communicate mathematically (25%)
  • AO3: AO3: Solve problems within mathematics and in other contexts (25%)

過去問と採点基準にもとづいて作成(2022–2024)。

電卓プログラム

Table mode for roots & turning points

Scientific calculator (e.g. Casio fx-991 series)

目的: Tabulate \(y\) across a range of \(x\) to locate sign changes (roots) and approximate maxima/minima.

使う場面: Solving or sketching a function when you want to find where its graph crosses or turns.

手順
Enter the function in TABLE mode, set the start, end and step, then read where the sign of \(y\) changes or where it peaks.

試験での注意: Allowed under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.

Statistics mode (mean, SD & regression)

Scientific calculator (e.g. Casio fx-991 series)

目的: Read the mean \(\bar{x}\) and standard deviation directly, and the gradient/intercept (and \(r\)) of a linear regression for bivariate data.

使う場面: Any data-handling, statistics, or required-practical analysis question.

手順
Enter the data in STAT mode (1-VAR or A+BX), then recall \(\bar{x}\), \(\sigma\) or the regression coefficients.

試験での注意: Allowed under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.

Carry exact values with Ans & memory

Scientific calculator (e.g. Casio fx-991 series)

目的: Keep full-precision intermediate values to avoid rounding errors.

使う場面: Multi-step calculations where premature rounding loses the final accuracy mark.

手順
Use Ans, STO/RCL or the M+ memory to reuse the unrounded result of each step; round only the final answer.

試験での注意: Allowed under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.

Equation solver — to CHECK your working

Scientific calculator (e.g. Casio fx-991 series)

目的: Use the built-in EQN/SOLVE mode to verify roots of quadratics or simultaneous equations you have already solved by algebra.

使う場面: As a check only, after solving by hand.

手順
Enter the coefficients in EQN mode (or use SOLVE) and confirm they match your worked solution.

試験での注意: Allowed under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.

よくあるミス

  1. 1high影響する配点: 1Number (Foundation tier knowledge, skills and understanding)

    Failing to convert a final calculated answer back to correct standard form notation, leaving coefficients outside the valid 1 to 10 range (e.g., leaving 24 x 10^-2).

    回避方法: Always check that your final standard form coefficient A is between 1 and 10 (1 <= A < 10). Rewrite 24 x 10^-2 as 2.4 x 10^-1 by dividing the coefficient by 10 and adding 1 to the exponent.
  2. 2high影響する配点: 2Ratio, proportion and rates of change (Foundation tier knowledge, skills and understanding)

    Giving vague or purely verbal answers on explanation questions (such as spotting Rupa's bar chart errors or Callum's area conversions) without displaying numerical calculations or citing formal mathematical definitions.

    回避方法: Always show complete, step-by-step arithmetic or state the precise rule violated (e.g., 'He forgot to square the linear scale factor when converting area units') followed by a clear, concluding decision.
  3. 3medium影響する配点: 3Ratio, proportion and rates of change (Foundation tier knowledge, skills and understanding)

    Calculating simple annual interest or decay and multiplying by the number of years instead of compounding step-by-step (e.g., over a 3-year period).

    回避方法: Use the exponential formula for compound growth/decay: Initial Value x (Multiplier)^n, or calculate the interest year-by-year, adding it to the principal before starting the next year.
  4. 4high影響する配点: 2Ratio, proportion and rates of change (Foundation tier knowledge, skills and understanding)

    Treating minutes as decimals directly in speed calculations (e.g., assuming 1 hour 45 minutes equals 1.45 hours).

    回避方法: Always convert minutes to decimal hours by dividing by 60 (e.g., 45 minutes / 60 = 0.75, so the total time is 1.75 hours) before applying speed/distance formulae.
  5. 5medium影響する配点: 1Geometry and measures (Foundation tier knowledge, skills and understanding)

    Failing to write down precise, standard geometric terms for angle calculations, such as writing 'angles in a circle' instead of 'angles at a point add up to 360'.

    回避方法: Learn the exact, examiner-approved wording of core angle rules (e.g., 'angles on a straight line add up to 180' and 'angles at a point add up to 360') and write them out in full.
  6. 6medium影響する配点: 1Number (Foundation tier knowledge, skills and understanding)

    Rounding final values too early in multi-step proportional calculations (such as travel time or mean weights), leading to minor errors in the final answer.

    回避方法: Keep the full, unrounded value stored in your calculator memory until you calculate the final answer, then round to the requested degree of accuracy (e.g., 3 significant figures).
  7. 7medium影響する配点: 2Geometry and measures (Foundation tier knowledge, skills and understanding)

    Misinterpreting the area scale factor for transformations or unit conversions, such as assuming 1 m^2 equals 100 cm^2.

    回避方法: Remember that the area scale factor is the square of the linear scale factor. Since 1 m = 100 cm, then 1 m^2 = (100)^2 cm^2 = 10,000 cm^2.

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