📚 AQA Year 13 Accounting Unit Test Mock Paper Walkthrough | AQA 13年级会计单元测试模拟卷解析
Welcome to this in-depth walkthrough of a typical AQA Year 13 Accounting unit test. This guide breaks down ten key topics you are likely to encounter, from absorption costing and variance analysis to investment appraisal and ethical issues. Each section presents a mock question, step-by-step calculations, and exam tips, helping you master the techniques required for top marks.
欢迎阅读这份针对AQA 13年级会计单元测试的深度解析指南。本指南逐一拆解十道很可能出现的关键题型,涵盖吸收成本法、差异分析、投资评估以及道德议题。每个小节都提供一道模拟题、分步计算过程和高分技巧,帮助你掌握取得优异成绩所需的方法。
1. Absorption and Marginal Costing | 吸收成本法与边际成本法
A common Year 13 question gives data for a manufacturing entity and asks you to prepare income statements under both absorption and marginal costing, then to reconcile the two profit figures. Let us work through a typical example. Galton Ltd budgets fixed production overheads at £90,000 per period and normal capacity is 15,000 units. For period 3, actual production is 13,000 units, actual sales 11,500 units at £72 each. Direct material per unit £14, direct labour per unit £11, variable production overhead per unit £6. Variable selling overhead is £4 per unit sold and fixed selling and administration costs are £38,000. Opening inventory was nil.
一种常见的13年级考题会提供一家制造企业的数据,要求你分别按吸收成本法和边际成本法编制利润表,然后调节两种利润的差异。下面是典型例子。Galton Ltd 每期固定生产间接费用预算为 £90,000,正常产能为 15,000 件。第3期实际产量13,000件,实际销量11,500件,单价£72。每件直接材料£14,直接人工£11,变动生产间接费用£6。每件变动销售费用£4,固定销售与管理费用£38,000。期初库存为零。
Under absorption costing, the fixed overhead absorption rate is £90,000 ÷ 15,000 = £6 per unit. The total production cost per unit is £14 + £11 + £6 + £6 = £37. Closing inventory of 1,500 units is valued at £37 × 1,500 = £55,500. Sales revenue is 11,500 × £72 = £828,000. Cost of sales is 11,500 × £37 = £425,500, giving a gross profit of £402,500. Deduct variable selling overhead (11,500 × £4 = £46,000) and fixed selling and administration (£38,000), to arrive at a net profit of £318,500.
在吸收成本法下,固定间接费用分配率为 £90,000 ÷ 15,000 = 每件£6。单位总生产成本为 £14 + £11 + £6 + £6 = £37。期末库存1,500件计价为 £37 × 1,500 = £55,500。销售收入为 11,500 × £72 = £828,000。销售成本为 11,500 × £37 = £425,500,毛利为 £402,500。减去变动销售费用(£46,000)和固定销售与管理费用(£38,000),得到净利润 £318,500。
Under marginal costing, the unit product cost is only the variable production cost: £14 + £11 + £6 = £31. Closing inventory is valued at 1,500 × £31 = £46,500. Sales revenue is unchanged at £828,000. Variable cost of sales is 11,500 × £31 = £356,500. Add variable selling overhead £46,000 to give total variable costs of £402,500. Contribution is £828,000 – £402,500 = £425,500. Deduct total fixed costs: fixed production overhead £90,000 + fixed selling and administration £38,000 = £128,000. Net profit is £425,500 – £128,000 = £297,500.
边际成本法下,单位产品成本仅包含变动生产成本:£14 + £11 + £6 = £31。期末库存计价为1,500 × £31 = £46,500。销售收入不变,为£828,000。变动销售成本为11,500 × £31 = £356,500。加上变动销售费用£46,000,变动成本合计£402,500。边际贡献为 £828,000 – £402,500 = £425,500。减去固定成本总额:固定生产间接费用£90,000 + 固定销售与管理费用£38,000 = £128,000。净利润为 £425,500 – £128,000 = £297,500。
The difference between the two profit figures is £318,500 – £297,500 = £21,000. This can be reconciled as: change in inventory (1,500 units) × fixed overhead absorption rate (£6) = £9,000? Wait: the fixed overhead rate is based on budgeted normal capacity, but actual fixed overhead absorbed is production × £6 = 13,000 × £6 = £78,000, compared with actual fixed overhead of £90,000, giving an under-absorption of £12,000. However, the profit difference is due to the fixed overhead carried forward in inventory. In absorption costing, inventory includes £6 × 1,500 = £9,000 of fixed overhead that is deferred, while marginal costing writes it off entirely. The net profit difference equals the fixed overhead in closing inventory less that in opening inventory, i.e. £9,000 – £0 = £9,000. But we observed a £21,000 gap? Recalculate absorption costing cost of sales properly: under absorption costing, we must charge the full fixed production overhead absorbed (13,000 × £6 = £78,000) to production, not automatically include it in cost of sales per unit based on the rate. The correct approach values closing inventory at £37 per unit, which includes £6 fixed overhead, so the cost of goods manufactured is 13,000 × £37 = £481,000. Opening inventory 0, closing inventory £55,500, so cost of sales is £481,000 – £55,500 = £425,500. This matches the earlier calculation. The under/over absorption adjustment is separate: overhead absorbed £78,000 less actual £90,000 gives an under-absorption of £12,000 that must be written off to the income statement. So the absorption costing profit statement should also deduct a £12,000 period cost. Thus net profit becomes: gross profit £402,500 – under-absorption £12,000 – variable selling £46,000 – fixed selling £38,000 = £306,500. Marginal costing profit is £297,500. Difference is £9,000, exactly the fixed overhead in closing inventory (£6 × 1,500). The earlier omission of under-absorption explains the error. Always remember to adjust for over/under-absorption when budget and actual volumes differ.
两种利润的差异为 £318,500 – £297,500 = £21,000。这可以通过库存变动调节:库存增加1,500件 × 固定费用分配率£6 = £9,000? 等等:固定费用分配率基于预算正常产能,但实际吸收的固定费用为产量 × £6 = 13,000 × £6 = £78,000,与实际固定费用£90,000相比,产生少吸收£12,000。然而,利润差异源于递延至库存中的固定费用。在吸收成本法下,库存包含了 £6 × 1,500 = £9,000 的递延固定费用,而边际成本法则当期全额冲销。净利润差异等于期末库存固定费用减期初,即 £9,000 – £0 = £9,000。但我们观察到的是£21,000?请重新计算吸收成本法的销售成本:正确做法是将实际吸收的固定生产间接费用(13,000 × £6 = £78,000)计入生产成本,而非单纯按单位费率计入销售成本。据此,产成品成本为13,000 × £37 = £481,000。期初库存0,期末库存£55,500,则销售成本为 £481,000 – £55,500 = £425,500。这与之前一致。但还要考虑少吸收调整:吸收费用£78,000与实际£90,000之差,产生£12,000少吸收,须在利润表中扣除。因此吸收成本法净利润变为:毛利 £402,500 – 少吸收£12,000 – 变动销售£46,000 – 固定销售£38,000 = £306,500。边际成本法净利润为£297,500。差异正好是期末库存中的固定费用 £9,000。之前未调整少吸收导致了错误。切记,当预算与实际产量不一致时,必须调整多吸收/少吸收。
2. Standard Costing and Variance Analysis | 标准成本法与差异分析
A typical standard costing question asks you to calculate material and labour variances as well as to reconcile budgeted and actual profit using an operating statement. Aspen Ltd’s standard cost card for one unit of its single product shows: direct material 4 kg at £5 per kg = £20; direct labour 2 hours at £11 per hour = £22; variable overhead 2 hours at £3 = £6. Budgeted production and sales for January were 2,000 units. Actual results: production 2,100 units; materials purchased and used 8,600 kg costing £42,140; direct labour 4,100 hours costing £46,535; variable overheads £12,800; fixed overheads £33,000; actual sales 1,950 units at a selling price of £70 per unit. Budgeted fixed overhead absorption rate is £16 per unit (based on 2,000 units budgeted).
典型的差异分析题目会要求你计算直接材料与直接人工差异,并通过经营利润调节表解释预算利润与实际利润的差异。Aspen Ltd 的标准成本卡如下:直接材料 4 公斤 × 每公斤 £5 = £20;直接人工 2 小时 × 每小时 £11 = £22;变动间接费用 2 小时 × £3 = £6。1月份预算产销量为 2,000 件。实际结果:产量 2,100 件;购入并耗用材料 8,600 公斤,成本 £42,140;直接人工 4,100 小时,成本 £46,535;变动间接费用 £12,800;固定间接费用 £33,000;实际销售 1,950 件,单价 £70。预算固定间接费用分配率为每件 £16(基于预算产量2,000件)。
Material price variance: (standard price £5.00 – actual price £42,140 ÷ 8,600 = £4.90) × actual quantity 8,600 = (£0.10) × 8,600 = £860 favourable. Material usage variance: (standard quantity for actual production 2,100 × 4 = 8,400 kg – actual quantity 8,600 kg) × standard price £5 = (200 kg) × £5 = £1,000 adverse. Total material cost variance = £1,000A – £860F = £140 adverse.
材料价格差异:(标准价格 £5.00 – 实际价格 £42,140 ÷ 8,600 = £4.90) × 实际数量 8,600 = (£0.10) × 8,600 = £860 有利。材料用量差异:(实际产量应耗标准数量 2,100 × 4 = 8,400 公斤 – 实际数量 8,600 公斤) × 标准价格 £5 = (200 公斤) × £5 = £1,000 不利。直接材料总差异 = £1,000A – £860F = £140 不利。
Labour rate variance: (standard rate £11.00 – actual rate £46,535 ÷ 4,100 = £11.35) × actual hours 4,100 = (£0.35) × 4,100 = £1,435 adverse. Labour efficiency variance: (standard hours for actual production 2,100 × 2 = 4,200 hours – actual hours 4,100 hours) × standard rate £11 = (100 hours) × £11 = £1,100 favourable. Total labour variance = £1,435A – £1,100F = £335 adverse.
人工工资率差异:(标准工资率 £11.00 – 实际工资率 £46,535 ÷ 4,100 = £11.35) × 实际工时 4,100 = (£0.35) × 4,100 = £1,435 不利。人工效率差异:(实际产量应耗标准工时 2,100 × 2 = 4,200 小时 – 实际工时 4,100 小时) × 标准工资率 £11 = (100 小时) × £11 = £1,100 有利。直接人工总差异 = £1,435A – £1,100F = £335 不利。
Variable overhead variances can be calculated similarly: expenditure variance = (standard rate £3 × actual hours 4,100 = £12,300) – actual cost £12,800 = £500 adverse; efficiency variance = (standard hours 4,200 – actual hours 4,100) × £3 = £300 favourable. Fixed overhead expenditure variance = budgeted fixed cost (2,000 × £16 = £32,000) – actual £33,000 = £1,000 adverse. Volume variance is not typically part of the operating statement under a marginal costing approach, but if required, it would be (actual production 2,100 – budget 2,000) × £16 = £1,600 favourable. The sales volume profit variance can be derived using standard profit per unit. Begin with budgeted net profit and adjust for all variances to arrive at actual profit. This systematic reconciliation is a key skill for Year 13.
变动间接费用差异可类似计算:支出差异 = (标准费率 £3 × 实际工时 4,100 = £12,300) – 实际成本 £12,800 = £500 不利;效率差异 = (标准工时 4,200 – 实际工时 4,100) × £3 = £300 有利。固定间接费用支出差异 = 预算固定费用 (2,000 × £16 = £32,000) – 实际 £33,000 = £1,000 不利。在边际成本法下经营调节表通常不包括产量差异,但若需要,产量差异 = (实际产量 2,100 – 预算 2,000) × £16 = £1,600 有利。销售数量利润差异可利用单位标准利润计算。从预算净利润出发,调整所有差异,最终得出实际净利润。这种系统的调节是13年级的关键技能。
3. Budgeting and Budgetary Control | 预算编制与预算控制
Flexible budgeting is often examined through a partial income statement. Elgin Ltd budgets to sell 6,000 units at £45 each, with variable costs of £22 per unit and fixed overheads of £75,000. At the end of the period, actual sales were 6,800 units at £43 each, variable costs totalled £153,000, and fixed costs were £78,000. Prepare a flexible budget and calculate the sales price, sales volume profit, variable cost, and fixed cost variances.
弹性预算经常以部分利润表的形式出现在考题中。Elgin Ltd 预算销售 6,000 件,单价 £45,单位变动成本 £22,固定间接费用 £75,000。期末实际销售 6,800 件,单价 £43,变动成本总额 £153,000,固定成本 £78,000。请编制弹性预算并计算销售价格、销售数量利润、变动成本和固定成本差异。
Flexed budget for actual volume 6,800 units: revenue 6,800 × £45 = £306,000; variable costs 6,800 × £22 = £149,600; contribution £156,400; fixed costs £75,000; flexed budget profit £81,400. Actual results: revenue 6,800 × £43 = £292,400; variable costs £153,000; contribution £139,400; fixed costs £78,000; actual profit £61,400. Total profit variance £20,000 adverse. Break it down: sales price variance = (actual price £43 – budget price £45) × actual volume 6,800 = £13,600 adverse. Sales volume profit variance = (actual volume 6,800 – budget volume 6,000) × budget contribution per unit (£45 – £22 = £23) = £18,400 favourable. Variable cost variance = (flexed variable cost £149,600 – actual £153,000) = £3,400 adverse. Fixed cost variance = (budget £75,000 – actual £78,000) = £3,000 adverse. Reconciled: original budget profit (6,000 × £23 – £75,000 = £63,000) + volume variance £18,400F – price variance £13,600A – variable cost variance £3,400A – fixed cost variance £3,000A = £61,400, which matches actual profit.
按实际数量 6,800 件编制的弹性预算:收入 6,800 × £45 = £306,000;变动成本 6,800 × £22 = £149,600;边际贡献 £156,400;固定成本 £75,000;弹性预算利润 £81,400。实际结果:收入 6,800 × £43 = £292,400;变动成本 £153,000;边际贡献 £139,400;固定成本 £78,000;实际利润 £61,400。总利润差异 £20,000 不利。分解如下:销售价格差异 = (实际价格 £43 – 预算价格 £45) × 实际数量 6,800 = £13,600 不利。销售数量利润差异 = (实际数量 6,800 – 预算数量 6,000) × 预算单位贡献 (£23) = £18,400 有利。变动成本差异 = (弹性预算变动成本 £149,600 – 实际 £153,000) = £3,400 不利。固定成本差异 = (预算 £75,000 – 实际 £78,000) = £3,000 不利。调节:原预算利润 (6,000 × £23 – £75,000 = £63,000) + 数量差异 £18,400 有利 – 价格差异 £13,600 不利 – 变动成本差异 £3,400 不利 – 固定成本差异 £3,000 不利 = £61,400,与实际利润相符。
4. Capital Investment Appraisal: NPV and IRR | 资本投资评估:净现值与内部回报率
AQA expects students to evaluate a project using net present value and, where appropriate, the internal rate of return. Consider Project Alpha with an initial investment of £180,000 and forecast net cash inflows of £62,000 per year for 4 years. The discount rate is 10%. Present value factors: year 1: 0.909, year 2: 0.826, year 3: 0.751, year 4: 0.683.
AQA 要求考生能够运用净现值,并在适当情况下使用内部回报率对项目进行评估。考虑Project Alpha,初始投资 £180,000,预计未来4年每年净现金流入 £62,000。折现率为10%。现值系数如下:第1年 0.909,第2年 0.826,第3年 0.751,第4年 0.683。
NPV calculation: PV of inflows = £62,000 × (0.909 + 0.826 + 0.751 + 0.683) = £62,000 × 3.169 = £196,478. NPV = £196,478 – £180,000 = £16,478. Since NPV is positive, the project increases shareholder wealth and should be accepted on financial grounds. IRR is the discount rate that yields an NPV of zero. Try a higher rate, say 15%: cumulative PV factor for 4 years is 2.855, PV inflows = £62,000 × 2.855 = £177,010, NPV = –£2,990. Interpolate: IRR ≈ 10% + [(16,478 / (16,478 + 2,990)) × 5%] ≈ 10% + 4.23% = 14.23%. The IRR exceeds the cost of capital, confirming the project’s viability.
净现值计算:现金流入现值 = £62,000 × (0.909 + 0.826 + 0.751 + 0.683) = £62,000 × 3.169 = £196,478。净现值 = £196,478 – £180,000 = £16,478。由于净现值为正,项目增加了股东财富,从财务角度应接受。内部回报率是使净现值为零的折现率。尝试较高折现率15%:4年年金现值系数为2.855,流入现值 = £62,000 × 2.855 = £177,010,净现值 = –£2,990。插值计算: IRR ≈ 10% + [(16,478 / (16,478 + 2,990)) × 5%] ≈ 10% + 4.23% = 14.23%。IRR超出资本成本,再次确认项目的可行性。
When writing exam answers, remember to discuss qualitative factors such as the reliability of cash flow forecasts, the project’s payback period, and its impact on the company’s strategic position. The AQA mark scheme often rewards linking quantitative results to a recommendation that acknowledges both financial and non-financial considerations.
作答时,切记要讨论定性因素,如现金流预测的可靠性、投资回收期以及对公司战略地位的影响。AQA 的评分方案通常奖励那些能结合定量结果、同时承认财务与非财务因素的建议。
5. Financial Statements Analysis: Ratio Trends | 财务报表分析:比率趋势
Interpretive skills are tested when you are given extracts of financial statements over two years and asked to calculate and comment on ratios. Below is a simplified balance sheet for Keaton plc.
| Item | Year 2 (£000) | Year 1 (£000) |
|---|---|---|
| Non-current assets | 420 | 380 |
| Inventory | 65 | 58 |
| Trade receivables | 48 | 42 |
| Cash | 7 | 15 |
| Total assets | 540 | 495 |
| Trade payables | 35 | 30 |
| Tax payable | 18 | 16 |
| Bank overdraft | 22 | 9 |
| Long-term loan | 120 | 140 |
| Equity | 345 | 300 |
| Revenue (income statement) | 650 | 580 |
| Cost of sales | 455 | 406 |
| Profit before interest & tax | 90 | 78 |
| Interest expense | 12 | 14 |
Calculate the current ratio, quick ratio, inventory holding period, trade receivables collection period, trade payables payment period, gross profit margin, and ROCE for both years. Show how trends
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