PorismaSource review

Your source-to-article checklist

Source review · Arithmetic & geometric progressions

All source-review topics · Coverage and provenance · Student practice

Every question has a place in the ledger. That does not prove every item is accurate or complete. Use these links to compare the native question, subparts, working, teaching notes, tables and diagrams with your private originals.

“Source comparison recorded” means a visual source-comparison pass is documented. “Mapped” or “generated” describes an ingestion step. Mathematical review, browser interaction tests and settled screenshot review are separate checks.

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20 question records

Optional ticks record your own inspection in this browser only. They do not change the conversion or mathematical-review claims.

12 · Arithmetic & geometric progressions

Edition metadata →

12-01 · A variable geometric ratioQuestion pp.1 / Solution pp.1

Question and explanations → · Complete native source article →

[2020/DHS/Prelim/I/1]. Printed/task labels inventoried: none recorded; check the question itself.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.1
12 APGP.pdf · p.8
12 APGP sol.pdf · p.1

12-02 · A relative geometric-tail errorQuestion pp.1 / Solution pp.1, 2

Question and explanations → · Complete native source article →

[2022/RVHS/Promo/3(ii)]. Printed/task labels inventoried: none recorded; check the question itself.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The percentage statement implicitly concerns a nonzero positive total; a zero GP cannot have a strict error less than zero.

Essential answer conditions and source qualifications

main

Percentage error assumes a nonzero positive total.

Exact private source page references

12 APGP.pdf · p.1
12 APGP.pdf · p.8
12 APGP sol.pdf · p.1
12 APGP sol.pdf · p.2

12-03 · Link an AP with a convergent GPQuestion pp.1 / Solution pp.2, 3, 4

Question and explanations → · Complete native source article →

[2022/YIJC/Promo/8]. Printed/task labels inventoried: a, b, c, d.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

7 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.1
12 APGP.pdf · p.8
12 APGP sol.pdf · p.2
12 APGP sol.pdf · p.3
12 APGP sol.pdf · p.4

12-04 · Odd-indexed terms and an alternating tailQuestion pp.1 / Solution pp.4, 5, 6

Question and explanations → · Complete native source article →

[2023/ACJC/Promo/8]. Printed/task labels inventoried: a.i, a.ii, a.iii, b.i, b.ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

9 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.1
12 APGP.pdf · p.8
12 APGP sol.pdf · p.4
12 APGP sol.pdf · p.5
12 APGP sol.pdf · p.6

12-05 · Selected GP terms form an APQuestion pp.1 / Solution pp.6, 7

Question and explanations → · Complete native source article →

TJC JC2 2025 H2 Maths MSM; no separate exam attribution printed for Q5. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The printed solution divides by r^4 and thereby omits the zero-ratio GP. The displayed main answer follows its intended nondegenerate branch.

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.1
12 APGP.pdf · p.8
12 APGP sol.pdf · p.6
12 APGP sol.pdf · p.7

12-06 · Half the infinite sum and alternate indicesQuestion pp.2 / Solution pp.8, 9

Question and explanations → · Complete native source article →

[2009/NYJC/Prelim/I/9]. Printed/task labels inventoried: a, b.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

An infinite GP need not have a finite sum. The printed solution supplies a convergence assumption absent from part (b) wording.

Essential answer conditions and source qualifications

Literal infinite-GP wording also allows the constant GP: even-indexed series diverges and log-AP difference is 0.

Exact private source page references

12 APGP.pdf · p.2
12 APGP.pdf · p.8
12 APGP sol.pdf · p.8
12 APGP sol.pdf · p.9

12-07 · Eliminate two progression parametersQuestion pp.2 / Solution pp.9, 10

Question and explanations → · Complete native source article →

[2024/NJC/Prelim/II/2]. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

$n\in\mathbb Z^+$ ; use the unrounded root.

Exact private source page references

12 APGP.pdf · p.2
12 APGP.pdf · p.8
12 APGP sol.pdf · p.9
12 APGP sol.pdf · p.10

12-08 · Alternating terms, even terms and productsQuestion pp.2 / Solution pp.10, 11

Question and explanations → · Complete native source article →

[2009/IJC/Prelim/I/12]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

3 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.2
12 APGP.pdf · p.8
12 APGP sol.pdf · p.10
12 APGP sol.pdf · p.11

12-09 · Odd-sized groups of geometric termsQuestion pp.3 / Solution pp.12, 13

Question and explanations → · Complete native source article →

[modified 2011/AJC/Prelim/I/12]. Printed/task labels inventoried: intro, i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

7 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The source excludes a=1 but omits the necessary a≠0 restriction; its convergence answer also omits the zero-series endpoint a=2.

Essential answer conditions and source qualifications

intro

$a\ne0,1$ .

iii

The printed $0<a<2$ omits the zero series at $a=2$ ; $a=0$ is undefined.

Exact private source page references

12 APGP.pdf · p.3
12 APGP.pdf · p.8
12 APGP sol.pdf · p.12
12 APGP sol.pdf · p.13

12-10 · A half-tail identity and triangular rowsQuestion pp.3 / Solution pp.14, 15

Question and explanations → · Complete native source article →

[2009/DHS/Prelim/I/9]. Printed/task labels inventoried: a, b.i, b.ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

Nonzero convergent GP.

Exact private source page references

12 APGP.pdf · p.3
12 APGP.pdf · p.8
12 APGP sol.pdf · p.14
12 APGP sol.pdf · p.15

12-11 · A filling machine and an insufficient tailQuestion pp.3 / Solution pp.15, 16

Question and explanations → · Complete native source article →

[2013/CJC/Prelim/II/1]. Printed/task labels inventoried: i, ii.a, ii.b.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.3
12 APGP.pdf · p.8
12 APGP sol.pdf · p.15
12 APGP sol.pdf · p.16

12-12 · Positive ribbon lengths and a bounded GPQuestion pp.4 / Solution pp.17

Question and explanations → · Complete native source article →

[2022/NJC/Prelim/I/7]. Printed/task labels inventoried: a, b, c.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

A zero-length twenty-first piece is not a ribbon piece; convert metres to centimetres before combining totals.

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.4
12 APGP.pdf · p.8
12 APGP sol.pdf · p.17

12-13 · AP lap times against GP lap timesQuestion pp.4 / Solution pp.18, 19

Question and explanations → · Complete native source article →

[2023/JPJC/Prelim/I/8]. Printed/task labels inventoried: i, ii, iii, iv, v.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

8 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Lap totals establish a lead change between laps 3 and 4. The precise within-lap crossing time needs a speed model; the source gives only lap durations.

Essential answer conditions and source qualifications

Endpoint totals establish the lead change; a precise within-lap crossing requires a speed model.

Exact private source page references

12 APGP.pdf · p.4
12 APGP.pdf · p.8
12 APGP sol.pdf · p.18
12 APGP sol.pdf · p.19

12-14 · Remove multiples and sum a bouncing pathQuestion pp.4 / Solution pp.20, 21

Question and explanations → · Complete native source article →

[2014/NYJC/JC2/mid-year/P2/4]. Printed/task labels inventoried: a, b.i, b.ii, b.iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.4
12 APGP.pdf · p.8
12 APGP sol.pdf · p.20
12 APGP sol.pdf · p.21

12-15 · Declining sales prices and holding costsQuestion pp.5 / Solution pp.21, 22, 23

Question and explanations → · Complete native source article →

[2012/PJC/Prelim/I/9]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Round a numerical threshold only after imposing k divides 500; an arbitrary integer such as 22 is not allowed.

Essential answer conditions and source qualifications

$k$ must divide $500$ .

Exact private source page references

12 APGP.pdf · p.5
12 APGP.pdf · p.8
12 APGP sol.pdf · p.21
12 APGP sol.pdf · p.22
12 APGP sol.pdf · p.23

12-16 · Selected terms and a rabbit–fox chaseQuestion pp.5 / Solution pp.23, 24

Question and explanations → · Complete native source article →

[2022/ASRJC/Prelim/I/9]. Printed/task labels inventoried: a.i, a.ii, b.i, b.ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The model specifies synchronised endpoints. Within-hop motion is unspecified; the distance calculation follows the source endpoint/constant-progress model. A strict real lower bound has an infimum rather than an attained minimum.

Essential answer conditions and source qualifications

b.ii

Endpoint/constant-progress model; real safe gaps must exceed the maximum gain ≈94.8256 m.

Exact private source page references

12 APGP.pdf · p.5
12 APGP.pdf · p.8
12 APGP sol.pdf · p.23
12 APGP sol.pdf · p.24

12-17 · Monthly deposits and the first crossing dayQuestion pp.5, 6 / Solution pp.25, 26

Question and explanations → · Complete native source article →

[2020/TMJC/Prelim/I/10]. Printed/task labels inventoried: a, b.i, b.ii, b.iii.

Question / subparts

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

A month-end formula alone can give the right month but the wrong day; check the deposit at the start of that month.

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.5
12 APGP.pdf · p.6
12 APGP.pdf · p.8
12 APGP sol.pdf · p.25
12 APGP sol.pdf · p.26

12-18 · A reducing loan and a final smaller paymentQuestion pp.6 / Solution pp.26, 27

Question and explanations → · Complete native source article →

[2024/JPJC/Prelim/I/8]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

iii

Whole-cent payment must be at least 2220.42 dollars; nearest-cent 2220.41 falls short.

Exact private source page references

12 APGP.pdf · p.6
12 APGP.pdf · p.8
12 APGP sol.pdf · p.26
12 APGP sol.pdf · p.27

12-19 · A declining income against rising costsQuestion pp.6 / Solution pp.28, 29

Question and explanations → · Complete native source article →

[2014/CJC/JC1/mid-year/7]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

12 APGP.pdf · p.6
12 APGP.pdf · p.8
12 APGP sol.pdf · p.28
12 APGP sol.pdf · p.29

12-20 · Out-and-back circuits and changing growth ratesQuestion pp.7 / Solution pp.30, 31, 32

Question and explanations → · Complete native source article →

[2022/SAJC/Prelim/I/9]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

3 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Nine increases reach session 10; sixty further increases reach session 70. Rounded lower bounds are approximate and should not replace the exact inequality in calculations.

Essential answer conditions and source qualifications

The rounded 5.22% is approximate; retain the exact lower bound.

Exact private source page references

12 APGP.pdf · p.7
12 APGP.pdf · p.8
12 APGP sol.pdf · p.30
12 APGP sol.pdf · p.31
12 APGP sol.pdf · p.32

An empty omission list is not a completeness certificate. Add any issue you find to the article or page-item record before calling that part finished.