BC Numeracy 10 printable practice with worked answers

Print 24 original questions across four numeracy situations, with full data and a separate explained answer key. Free; not the official B.C. sample assessment.

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Use this printable sheet for our four original situations: survey estimates, workshop planning, grant allocation and delivery models. Questions sharing the same data stay together. The separate answer key shows the calculation or reasoning, so you can finish a situation before checking.

Choose Print or save as PDF in the page controls, then select your browser’s PDF option or a printer. This is an untimed multiple-choice worksheet. It does not reproduce the full provincial assessment or provide a provincial proficiency level. Official sample PDFs remain linked from the ministry’s page.

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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.
1.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
2.What percentage of the volunteer hours did Birch contribute?
1. 18%
2. 25%
3. 40%
4. 30%
3.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
4.What is Maple’s proportional allocation from the full grant?
1. $280
2. $560
3. $336
4. $672
5.Under Proposal B, how much does Cedar receive?
1. $560
2. $840
3. $504
4. $336
6.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
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.
7.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
8.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
9.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
10.What percentage of surveyed visitors said they would use the refill station?
1. 18%
2. 30%
3. 60%
4. 42%
11.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
12.What is the minimum number of full 18 L coolers needed for the estimated water demand?
1. 2
2. 3
3. 5
4. 4
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.
13.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
14.How many tables are required to seat all 53 participants?
1. 8
2. 9
3. 10
4. 6
15.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
16.What is the total stated cost for 53 participants using the minimum number of tables?
1. $321
2. $450
3. $391
4. $409
17.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
18.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
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.
19.For a 10 km delivery, how much is saved by choosing the cheaper service?
1. $4
2. $6
3. $8
4. $12
20.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
21.At what trip distance do the two models give the same price?
1. 4 km
2. 6 km
3. 8 km
4. 12 km
22.Using that linear model, what is Service A’s quoted cost for a 9 km trip?
1. $36
2. $42
3. $46
4. $50
23.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
24.Which fixed term completes Service A’s model C = 4d + b?
1. 14
2. 18
3. 22
4. 26

Answer key with explanations

1. A — $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.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
2. D — 30%
Birch contributed 18 of the 60 hours: 18 ÷ 60 × 100% = 30%. Its 18 hours are not automatically 18 percent.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
3. B — 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.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
4. C — $336
Maple supplied 12/60 = 1/5 of the volunteer hours. Its allocation is $1,680 × 1/5 = $336.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
5. B — $840
The groups contributed 12 + 18 + 30 = 60 hours. Cedar contributed 30/60 = 1/2 of them, so receives $1,680 ÷ 2 = $840.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
6. C — $280
An equal share is $1,680 ÷ 3 = $560. Cedar’s proportional share is $840, so the difference is $840 − $560 = $280.
Garden grant: choose a sharing rule · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
7. C — 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.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
8. A — 240
Apply the sample proportion: 800 × (18 ÷ 60) = 240 expected users. This is an estimate based on the stated assumption.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
9. C — 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.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
10. B — 30%
18 ÷ 60 = 0.30, or 30%. The denominator is everyone surveyed, not the 800 expected visitors.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
11. A — 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.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
12. D — 4
60 ÷ 18 = 3.33… coolers, so round up to 4 whole coolers. Three provide only 54 L; four provide 72 L.
Refill station: estimate demand · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
13. B — 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.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
14. B — 9
53 ÷ 6 = 8.83… . Round up to 9 tables, providing 54 places. Eight tables seat only 48 people.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
15. A — 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.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
16. C — $391
Nine tables cost 9 × $18 = $162. Add the $70 hall and 53 × $3 = $159 in materials: $162 + $70 + $159 = $391.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
17. B — 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.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
18. D — $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.
Repair workshop: budget and capacity · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
19. C — $8
At 10 km, A costs 14 + 40 = $54 and B costs 26 + 20 = $46. Choosing B saves $54 − $46 = $8.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
20. C — $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.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
21. B — 6 km
Set 14 + 4d = 26 + 2d. Then 2d = 12, so d = 6 km. Both services cost $38 at this distance.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
22. D — $50
Service A costs 14 + 4 × 9 = 14 + 36 = $50. Nine kilometres is within the stated 1–12 km range.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
23. A — 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.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
24. A — 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.
Cargo-bike delivery: compare models · Based on: Original fictional scenario shown above; answer derived from its data and reasoning. B.C. official source describes assessment processes, not this item.
Original practice questions by Canada Exam Prep. Not official test questions. Free to print for personal study.

Official learning resources

Our questions are original, unofficial practice. These free public resources are published by government bodies or test providers. Official courses and certification may have separate fees.

Official study guide / resources · EN
B.C. Numeracy 10 — official format, online samples and rubric (opens in a new tab)
Official sample test / questions · EN
Official Sample A — questions (PDF) (opens in a new tab)
Official reference material · EN
Official Sample A — answer key (PDF) (opens in a new tab)
Official reference material · EN
Official formula and unit reference pages (PDF) (opens in a new tab)

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Numeracy practice: printable questions and answers: common questions

Is this the official BC Numeracy 10 sample PDF?

No. This sheet contains our original situations and explanations. Use the ministry’s assessment page for its official sample questions, answer keys and written-response exemplars.

B.C. Ministry — Grade 10 Numeracy Assessment ↗

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Yes. Each situation’s data appears before its questions, and all 24 questions have an answer and explanation in the separate answer-key section.

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BC Numeracy 10 printable practice with worked answers