B.C. Numeracy 10: Repair workshop: budget and capacity

Every original question, with optional answers, explanations and official references. Open an answer to study, or take the test above for instant feedback.

1. ORIGINAL SCENARIO — REPAIR WORKSHOP A workshop expects 53 participants. Each rented table seats at most 6 people and costs $18. Hall rental is a fixed $70, and materials cost $3 per participant. The total budget is $450. These fictional prices already include all charges. Each tabletop measures 1.8 m by 0.75 m. The room measures 10 m by 8 m; access routes and safe spacing still need a layout check.

   Which check is still needed before concluding that the tables fit the room suitably?

   1. Divide the room area by the number of people only
   2. Check a layout with chairs, doors and access routes
   3. Assume every square metre can be covered by a table
   4. Ignore the room dimensions because the budget works
   Show answer and explanation

   Correct answer: Check a layout with chairs, doors and access routes

   A total-area comparison cannot show whether doors, chairs and access routes remain usable. The recommendation needs a workable layout as well as a cost calculation.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗

2. How many tables are required to seat all 53 participants?

   1. 8
   2. 9
   3. 10
   4. 6
   Show answer and explanation

   Correct answer: 9

   53 ÷ 6 = 8.83… . Round up to 9 tables, providing 54 places. Eight tables seat only 48 people.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗

3. If 61 people attend, how does the minimum-table plan compare with the $450 budget?

   1. $20 under budget
   2. Exactly on budget
   3. $18 over budget
   4. $1 over budget
   Show answer and explanation

   Correct answer: $1 over budget

   61 people need 11 tables. Cost = 11 × $18 + $70 + 61 × $3 = $451, which exceeds the budget by $1. Ten tables would leave one person without a seat.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗

4. With nine tables already booked, what is the greatest number of participants that both the seats and $450 budget allow?

   1. 53
   2. 54
   3. 66
   4. 72
   Show answer and explanation

   Correct answer: 54

   Nine tables provide 54 seats. At 54 participants, the total is $162 + $70 + $162 = $394, within $450. Seating, rather than the budget, limits attendance.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗

5. What area do the nine tabletops occupy, excluding all access space?

   1. 12.15 m²
   2. 16.20 m²
   3. 67.85 m²
   4. 80 m²
   Show answer and explanation

   Correct answer: 12.15 m²

   One tabletop covers 1.8 × 0.75 = 1.35 m². Nine cover 9 × 1.35 = 12.15 m². This excludes chairs, access routes and spacing.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗

6. What is the total stated cost for 53 participants using the minimum number of tables?

   1. $321
   2. $450
   3. $391
   4. $409
   Show answer and explanation

   Correct answer: $391

   Nine tables cost 9 × $18 = $162. Add the $70 hall and 53 × $3 = $159 in materials: $162 + $70 + $159 = $391.

   Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.

   Official reference ↗