Instructions for this set
Treat each labelled record or displayed table as the complete data for that question. Use stated units. Figures are hypothetical and no missing cell should be guessed. A calculator is allowed.
A calculator is allowed. Derive the requested measure from the source counts, prices and costs. Keep contribution separate from net profit. Recalculate each period and subgroup before drawing a conclusion about overall performance.
Answer keys and reasoning checked 20 October 2026. These checks do not establish psychometric validity.
Feedback mode has no time limit or negative marking. The optional timed challenge allows 20 minutes and uses the scoring shown on its rules screen. Those settings are not official assessment rules.
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Fictional US product sales for one period. Unit amounts are US dollars. Fixed costs and other expenses are not supplied. Product Units sold Selling price per unit (US$) Variable cost per unit (US$) A 1,200 35 21 B 800 50 32 C 500 80 44 1. Which product generated the greatest total contribution before fixed costs? Contribution means sales revenue minus variable costs.- A
- B
- C
- All three tie
Reference:
q-74d6b1a7-898· Report this questionShow answer and solution
Answer: C. C
Contribution equals units sold × (selling price − variable cost per unit). A gives 1,200 × 14 = US$16,800; B gives 800 × 18 = US$14,400; C gives 500 × 36 = US$18,000. C contributes most despite selling the fewest units. -
2. What is the combined contribution before fixed costs across all three products?
- US$42,000
- US$46,200
- US$48,000
- US$49,200
Reference:
q-9117b3a4-847· Report this questionShow answer and solution
Answer: D. US$49,200
Product contributions are US$16,800, US$14,400 and US$18,000. Their sum is US$49,200. These amounts deduct variable costs only; the result is not net profit because fixed costs and other expenses are not provided. -
3. What is product C’s contribution as a percentage of its sales revenue?
- 45%
- 55%
- 81.82%
- 40%
Reference:
q-988d19cb-838· Report this questionShow answer and solution
Answer: A. 45%
Product C contributes 80 − 44 = US$36 per unit on a selling price of US$80. Contribution divided by revenue is 36/80 = 45%. Dividing by variable cost would calculate a different ratio, approximately 81.82%. -
4. At the stated selling price and variable cost, how many units of product B would generate the same total contribution as the 500 units of C?
- 900
- 1,000
- 1,100
- 1,200
Reference:
q-bcfd5c63-908· Report this questionShow answer and solution
Answer: B. 1,000
C contributes 500 × (80 − 44) = US$18,000. B contributes 50 − 32 = US$18 per unit. It would take 18,000/18 = 1,000 B units to match C’s contribution, assuming the stated per-unit amounts remain unchanged. -
5. What is the business’s net profit for the period, based only on this table?
- US$49,200
- US$42,000
- Cannot determine
- US$18,000
Reference:
q-e534a07a-843· Report this questionShow answer and solution
Answer: C. Cannot determine
The table supports revenue, variable costs and contribution, but explicitly omits fixed costs and other expenses. Different fixed costs would give different net profits while leaving every displayed cell unchanged. The net profit therefore cannot be determined. -
Fictional UK delivery results. Standard and urgent jobs do not overlap; every job is counted once in its period. Period and type Total jobs On-time jobs First: standard 900 810 First: urgent 100 70 Later: standard 200 190 Later: urgent 800 600 6. What percentage of all jobs in the later period were on time?- 75%
- 80%
- 88%
- 79%
Reference:
q-7d4d25d3-830· Report this questionShow answer and solution
Answer: D. 79%
The later period has 190 + 600 = 790 on-time jobs out of 200 + 800 = 1,000 jobs. The overall rate is 79%. Using only the urgent row gives 75%, which is not the requested overall rate. -
7. How did the overall on-time rate change from the first period to the later period?
- It fell by 9 percentage points
- It fell by 9% relative to the original rate
- It rose by 5 percentage points
- It did not change
Reference:
q-a06d5a86-851· Report this questionShow answer and solution
Answer: A. It fell by 9 percentage points
The first overall rate is (810 + 70)/(900 + 100) = 88%; the later rate is 79%. Subtracting gives a fall of nine percentage points. Its relative decline is 9/88 × 100, approximately 10.23%, not 9%. -
8. Which statement is supported by the displayed job counts?
- Both job types had lower on-time rates later
- Both job types improved their on-time rates, but the overall rate fell
- The overall rate improved because standard jobs improved
- Neither period supplies enough data to calculate an overall rate
Reference:
q-6d343059-826· Report this questionShow answer and solution
Answer: B. Both job types improved their on-time rates, but the overall rate fell
Standard jobs improve from 810/900 = 90% to 190/200 = 95%. Urgent jobs improve from 70/100 = 70% to 600/800 = 75%. Yet the overall rate falls from 88% to 79% because the later period has many more urgent jobs, whose on-time rate is lower. -
9. Suppose the later on-time rates for each job type applied to a mix of 900 standard jobs and 100 urgent jobs. How many of these 1,000 jobs would be on time?
- 790
- 880
- 930
- 950
Reference:
q-29dcff9b-924· Report this questionShow answer and solution
Answer: C. 930
Apply the later standard rate of 95% to 900 jobs, giving 855. Apply the later urgent rate of 75% to 100 jobs, giving 75. The total would be 930. This is a stated hypothetical change in the mix, not the actual later count. -
10. How many later urgent jobs currently classified late would need to be on time to make the later overall rate 90%, with all other job counts unchanged?
- 80
- 90
- 100
- 110
Reference:
q-9c609f0f-919· Report this questionShow answer and solution
Answer: D. 110
A 90% overall rate on 1,000 later jobs requires 900 on-time jobs. There are currently 790, so another 110 urgent jobs would need to become on time. Two hundred later urgent jobs are currently late, so the required change is possible within the stated counts.
Review your method
Return to the interpreting workplace tables lesson and identify the reasoning step behind each mistake before repeating the set.
Choose your practice difficulty
Difficulty labels describe the steps needed in these teaching sets; they are not validated ability bands. Start with foundation practice and move on after you can explain your method.
- Foundation: 10 questions — labelled records, totals, units and simple rates.
- Intermediate: 10 questions — Interpret regional support and spending tables with ten original questions on totals, rates, units and budget comparisons.
- Advanced: 10 questions — Use product and delivery tables to evaluate contribution, changing group mixes and missing information in ten original questions.