B.C. Numeracy 10 overview

B.C. Numeracy 10 Practice Test 2

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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?

All 12 questions in this test

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  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. ORIGINAL SCENARIO — PARK WALK Organizers expect 800 visitors. In a morning survey, 18 of 60 visitors said they would use a refill station. For planning, assume that the same proportion applies to all 800 visitors and that each user takes one 250 mL serving. Each full cooler holds 18 L. The survey is an estimate, not a promise about attendance or demand.

    What percentage of surveyed visitors said they would use the refill station?

    1. 18%
    2. 30%
    3. 60%
    4. 42%
    Show answer and explanation

    Correct answer: 30%

    18 ÷ 60 = 0.30, or 30%. The denominator is everyone surveyed, not the 800 expected visitors.

    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. 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.

    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 ↗
  4. ORIGINAL SCENARIO — PARK WALK Organizers expect 800 visitors. In a morning survey, 18 of 60 visitors said they would use a refill station. For planning, assume that the same proportion applies to all 800 visitors and that each user takes one 250 mL serving. Each full cooler holds 18 L. The survey is an estimate, not a promise about attendance or demand.

    Using the stated survey assumption, how many of the 800 visitors are expected to use the station?

    1. 240
    2. 182
    3. 300
    4. 480
    Show answer and explanation

    Correct answer: 240

    Apply the sample proportion: 800 × (18 ÷ 60) = 240 expected users. This is an estimate based on the stated assumption.

    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. ORIGINAL SCENARIO — CARGO-BIKE QUOTES For Service A, the quoted cost is $22 for 2 km, $30 for 4 km and $38 for 6 km. Assume its price follows one linear model. Service B quotes C = 26 + 2d, where C is dollars and d is distance in kilometres. Both fictional quotes include all charges and apply only to trips from 1 km to 12 km. Compare the same trip distance for both services.

    Using that linear model, what is Service A’s quoted cost for a 9 km trip?

    1. $36
    2. $42
    3. $46
    4. $50
    Show answer and explanation

    Correct answer: $50

    Service A costs 14 + 4 × 9 = 14 + 36 = $50. Nine kilometres is within the stated 1–12 km range.

    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. 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.

    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 ↗
  7. ORIGINAL SCENARIO — CARGO-BIKE QUOTES For Service A, the quoted cost is $22 for 2 km, $30 for 4 km and $38 for 6 km. Assume its price follows one linear model. Service B quotes C = 26 + 2d, where C is dollars and d is distance in kilometres. Both fictional quotes include all charges and apply only to trips from 1 km to 12 km. Compare the same trip distance for both services.

    For a 10 km delivery, how much is saved by choosing the cheaper service?

    1. $4
    2. $6
    3. $8
    4. $12
    Show answer and explanation

    Correct answer: $8

    At 10 km, A costs 14 + 40 = $54 and B costs 26 + 20 = $46. Choosing B saves $54 − $46 = $8.

    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 ↗
  8. 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.

    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 ↗
  9. 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 ↗
  10. ORIGINAL SCENARIO — CARGO-BIKE QUOTES For Service A, the quoted cost is $22 for 2 km, $30 for 4 km and $38 for 6 km. Assume its price follows one linear model. Service B quotes C = 26 + 2d, where C is dollars and d is distance in kilometres. Both fictional quotes include all charges and apply only to trips from 1 km to 12 km. Compare the same trip distance for both services.

    What rate per kilometre is consistent with Service A’s quoted prices?

    1. $2 per km
    2. $8 per km
    3. $4 per km
    4. $11 per km
    Show answer and explanation

    Correct answer: $4 per km

    From 2 km to 4 km, the price rises by $30 − $22 = $8 over 2 km. The rate is therefore $8 ÷ 2 = $4 per kilometre.

    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 ↗
  11. 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.

    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 ↗
  12. ORIGINAL SCENARIO — PARK WALK Organizers expect 800 visitors. In a morning survey, 18 of 60 visitors said they would use a refill station. For planning, assume that the same proportion applies to all 800 visitors and that each user takes one 250 mL serving. Each full cooler holds 18 L. The survey is an estimate, not a promise about attendance or demand.

    Why might the morning survey give a poor estimate of demand for the whole day?

    1. The sample includes only morning visitors
    2. Percentages cannot be applied to 800 people
    3. One litre contains fewer than 250 mL
    4. Every survey result is exact
    Show answer and explanation

    Correct answer: The sample includes only morning visitors

    Morning visitors may have different needs from afternoon visitors. The arithmetic can be correct while the sample does not represent the whole day.

    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 ↗

About this practice test

How many questions are in B.C. Numeracy 10 practice test 2?

12 original multiple-choice practice questions covering repair workshop: budget and capacity, refill station: estimate demand, cargo-bike delivery: compare models, garden grant: choose a sharing rule. Each answer includes an explanation. This mixed practice set does not reproduce the official exam format or predict an official score.

Are the questions the same every time?

Yes. Practice test 2 always has the same 12 questions, so you can repeat it until you get them all right. The other 1 sets use different questions.

Are these real test questions?

No. The official question bank is not published. These are original questions written from the official handbook, which is what the real B.C. Numeracy 10 test is based on.