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B.C. Numeracy 10 overview

B.C. Numeracy 10 Practice Test 1

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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?

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  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. 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.

    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 ↗

  3. 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.

    How much water is needed for one 250 mL serving for each of the estimated users?

    1. 6 L
    2. 200 L
    3. 60 L
    4. 600 L
    Show answer and explanation

    Correct answer: 60 L

    240 × 250 mL = 60,000 mL. Divide by 1,000 mL per litre to obtain 60 L. The calculation allows exactly one serving per user.

    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. What is the minimum number of full 18 L coolers needed for the estimated water demand?

    1. 2
    2. 3
    3. 5
    4. 4
    Show answer and explanation

    Correct answer: 4

    60 ÷ 18 = 3.33… coolers, so round up to 4 whole coolers. Three provide only 54 L; four provide 72 L.

    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 — 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.

    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 ↗

  6. 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.

    Why should a planner not treat the model’s 20 km prediction as a confirmed quote?

    1. The supplied quotes apply only from 1 to 12 km
    2. A linear model cannot be used at 9 km
    3. Service B charges the same price for every distance
    4. The fixed term must be paid twice at 20 km
    Show answer and explanation

    Correct answer: The supplied quotes apply only from 1 to 12 km

    Twenty kilometres is outside the quoted range. A formula can produce a number there, but the passage does not confirm that either service will charge that price.

    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. Which fixed term completes Service A’s model C = 4d + b?

    1. 14
    2. 18
    3. 22
    4. 26
    Show answer and explanation

    Correct answer: 14

    Substitute the 2 km quote: 22 = 4 × 2 + b, so b = 14. The full model is C = 14 + 4d within the stated quote 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 ↗

  8. At what trip distance do the two models give the same price?

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

    Correct answer: 6 km

    Set 14 + 4d = 26 + 2d. Then 2d = 12, so d = 6 km. Both services cost $38 at this distance.

    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. 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.

    If the actual use rate is between 20% and 40%, what range of users should organizers consider?

    1. 20–40
    2. 80–160
    3. 160–320
    4. 240–400
    Show answer and explanation

    Correct answer: 160–320

    20% of 800 is 160 and 40% of 800 is 320. The range describes users, not litres; water demand must be calculated separately.

    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 — 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.

    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 ↗

  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.

    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 ↗

  12. 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.

    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 ↗

All B.C. Numeracy 10 practice tests

About this practice test

How many questions are in B.C. Numeracy 10 practice test 1?

12 original multiple-choice practice questions covering garden grant: choose a sharing rule, repair workshop: budget and capacity, refill station: estimate demand, cargo-bike delivery: compare models. 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 1 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.