B.C. Numeracy 10: Garden grant: choose a sharing rule

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 — GARDEN GRANT Three groups share a $1,680 grant. Maple contributed 12 volunteer hours, Birch 18 hours and Cedar 30 hours. Proposal A gives each group an equal share. Proposal B divides the money in proportion to volunteer hours. Unless a question says otherwise, use Proposal B and divide the entire grant. These are fictional allocation rules, not a claim that one rule is always fairest.

   How much more does Cedar receive under Proposal B than under Proposal A, using the full grant?

   1. $224
   2. $560
   3. $280
   4. $840
   Show answer and explanation

   Correct answer: $280

   An equal share is $1,680 ÷ 3 = $560. Cedar’s proportional share is $840, so the difference is $840 − $560 = $280.

   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. What percentage of the volunteer hours did Birch contribute?

   1. 18%
   2. 25%
   3. 40%
   4. 30%
   Show answer and explanation

   Correct answer: 30%

   Birch contributed 18 of the 60 hours: 18 ÷ 60 × 100% = 30%. Its 18 hours are not automatically 18 percent.

   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 $240 is first reserved for shared tools, what does Birch receive from the remaining proportional allocation?

   1. $432
   2. $504
   3. $480
   4. $560
   Show answer and explanation

   Correct answer: $432

   The distributable amount becomes $1,680 − $240 = $1,440. Birch still has 18/60 = 30% of the hours, so receives 0.30 × $1,440 = $432.

   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. Under Proposal B, how much does Cedar receive?

   1. $560
   2. $840
   3. $504
   4. $336
   Show answer and explanation

   Correct answer: $840

   The groups contributed 12 + 18 + 30 = 60 hours. Cedar contributed 30/60 = 1/2 of them, so receives $1,680 ÷ 2 = $840.

   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. Which explanation correctly distinguishes the two proposals?

   1. Equal shares always reward the most hours
   2. A treats groups equally; B weights volunteer time
   3. B ignores the recorded volunteer hours
   4. Both proposals must give every group $560
   Show answer and explanation

   Correct answer: A treats groups equally; B weights volunteer time

   Proposal A gives $560 to each group because there are three groups. Proposal B rewards recorded hours proportionally. A recommendation must state which criterion it uses.

   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 Maple’s proportional allocation from the full grant?

   1. $280
   2. $560
   3. $336
   4. $672
   Show answer and explanation

   Correct answer: $336

   Maple supplied 12/60 = 1/5 of the volunteer hours. Its allocation is $1,680 × 1/5 = $336.

   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 ↗