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Assessment Pack — Mathematics 5

Term 1 · MATATAG Curriculum · Key Stage 2 · SY 2026–2027

Everything a Grade 5 Mathematics teacher has to produce for Term 1 assessment, written out in full: the Table of Specifications, three complete papers with answer keys, the Week 7 weekly check, and the rubrics for every performance task the syllabus suggests.

Learning Area Mathematics
Grade Level Grade 5
Term Term 1 (weeks 1–11)
Assessment Basis DO No. 015, s. 2026
Key Stage Key Stage 2 — numerical grades apply

⚠️ The weights and the transmutation rule are reported, not read. DO No. 015, s. 2026 could not be downloaded in the environment this was built in — see source-catalogue.md. The item content below is this repository's own work and stands on its own; the weights and transmutation must be confirmed against the order before a real grade is computed. Everything computed from them is implemented in class-record.html, which shows its working.

1. How assessment works this year

Component Weight What goes in it
Written Works 20% Weekly checks, worksheets, quizzes, seatwork with reasoning shown
Performance Tasks 50% The term performance task, group activities, oral explanations
Examinations 30% Summative Test 1 · Summative Test 2 · Term Examination

The Examinations component subdivides:

Instrument Share of the 30% When Covers
Summative Test 1 30% End of Week 5 Weeks 1–5
Summative Test 2 30% End of Week 10 Weeks 6–10
Term 1 Examination 40% End-of-term block Weeks 1–11

Performance Tasks carry half the grade. That is the single largest change from DO No. 8, s. 2015, and it means the two group activities in offline-activities.md are not enrichment — they are half the evidence.

The item-count rule

A single summative test may not exceed half the item count of the term examination. The term examination here is 40 items, so each summative is capped at 20. Both are written at 20.

The Table of Specifications is the teacher's, not DepEd's. Nothing in the reported guidance prescribes a TOS layout for Grade 5. §2 is this repository's, offered as a working starting point. Adjust the weighting to what you actually taught.

2. Table of Specifications — Term 1 Examination

40 items · 11 weeks · cognitive levels Remembering · Understanding · Applying · Analysing

Weeks Content CG Items Item nos. R U Ap An %
1–3 12- and 24-hour time Q1 · 1–3 6 1–6 2 2 2 — 15.0
4 World time zones Q1 · 4–5 4 7–10 1 1 1 1 10.0
5 The GMDAS rules Q1 · 6 5 11–15 1 1 2 1 12.5
6–7 Multiplying fractions — models and rule Q1 · 7–8 8 16–23 1 3 3 1 20.0
8 Multi-step problems with fraction multiplication Q1 · 9 5 24–28 — 1 2 2 12.5
9 Area of parallelogram, triangle, trapezoid Q1 · 10–12 7 29–35 2 2 2 1 17.5
10–11 Dividing fractions Q2 · 1–2 5 36–40 1 1 2 1 12.5
Total 40 8 11 14 7 100

Why the weighting sits where it does. Weeks 6–8 together take 32.5% of the paper for three weeks of teaching, which is deliberate over-weighting: fraction multiplication is the competency the rest of Grade 5 and the whole of Grade 6 rest on. Time and time zones take 25% for four weeks — under-weighted, because they are self-contained and do not carry forward.

3. Summative Test 1 — Weeks 1–5

20 items · 40 minutes · end of Week 5 Covers 12- and 24-hour time, world time zones, and the GMDAS rules.

Part A · 12- and 24-hour time (items 1–8)

Write your answer on the line.

  1. Write 3:00 p.m. in 24-hour time. ______
  2. Write 07:45 in 12-hour time. ______
  3. Write 21:30 in 12-hour time. ______
  4. Write 12:15 a.m. in 24-hour time. ______
  5. Write 12:00 noon in 24-hour time. ______
  6. Which is later — 18:20 or 6:20 p.m.? ______
  7. A bus leaves at 14:25 and arrives at 17:10. How long is the trip? ______
  8. A film starts at 19:40 and runs for 105 minutes. What time does it end? ______

Part B · World time zones (items 9–13)

Manila is UTC+8. Use the offsets given.

  1. Singapore is UTC+8. When it is 14:00 in Manila, what time is it in Singapore? ______
  2. Riyadh is UTC+3. When it is 15:00 in Manila, what time is it in Riyadh? ______
  3. Tokyo is UTC+9. When it is 08:00 in Manila, what time is it in Tokyo? ______
  4. Milan is UTC+1. When it is 20:00 in Manila, what time is it in Milan? ______
  5. A family wants to call a relative in Riyadh at 09:00 Manila time. What time will it be in Riyadh, and is that a reasonable time to call? Explain. ______

Part C · The GMDAS rules (items 14–20)

Show your working.

  1. 12 + 6 × 2 = ______
  2. (12 + 6) × 2 = ______
  3. 20 − 8 ÷ 4 = ______
  4. 30 ÷ (2 + 3) × 4 = ______
  5. 5 + 3 × (10 − 6) ÷ 2 = ______
  6. 100 − 4 × 5 + 8 ÷ 2 = ______
  7. Insert brackets to make this true: 4 + 6 × 2 = 20 ______

Answer key — Summative Test 1

# Answer # Answer
1 15:00 11 09:00
2 7:45 a.m. 12 13:00
3 9:30 p.m. 13 04:00 in Riyadh. Not reasonable — the relative would be asleep. Accept any answer giving 04:00 with a reason about sleeping hours
4 00:15 14 24
5 12:00 15 36
6 Neither — they are the same time 16 18
7 2 hours 45 minutes 17 24
8 21:25 18 11
9 14:00 (no difference) 19 84
10 10:00 20 (4 + 6) × 2 = 20

Marking notes.

4. Summative Test 2 — Weeks 6–10

20 items · 40 minutes · end of Week 10 Covers multiplying fractions, multi-step fraction problems, area, and the opening of division of fractions.

Part A · Multiplying fractions (items 1–7)

Give every answer in simplest form.

  1. ½ × ⅔ = ______
  2. ¾ × ⅖ = ______
  3. ⅚ × ⅗ = ______
  4. ⅜ × ⅔ = ______
  5. A grid has 4 columns and 3 rows and models ¾ × ⅔. How many cells are shaded twice? ______
  6. Which is smaller — ⅝ or ⅝ × ¾? ______
  7. 1½ × ⅔ = ______

Part B · Multi-step problems (items 8–11)

Show your working.

  1. ⅔ of the learners in a class are girls. ¾ of the girls joined the choir. What fraction of the whole class joined the choir? ______
  2. A rope is ⅘ m long. ⅜ of it is cut off. How long is the piece that was cut? ______
  3. ½ of ⅔ of a ₱600 fund is spent. How much is spent? ______
  4. ⅔ × ¾ + ¼ = ______

Part C · Area (items 12–17)

  1. Find the area of a parallelogram with base 8 cm and height 5 cm. ______
  2. Find the area of a triangle with base 12 cm and height 7 cm. ______
  3. Find the area of a trapezoid whose parallel sides are 6 cm and 10 cm, with a height of 4 cm. ______
  4. A parallelogram is drawn leaning to one side. Three lengths are marked: the slanted side, the base, and a dotted line drawn straight down from the top edge to the base. Which one is the height? ______
  5. A triangle has an area of 24 sq cm and a base of 8 cm. What is its height? ______
  6. A leaf is traced on a 1 cm grid. It covers 14 whole squares and 6 half squares. Estimate its area. ______

Part D · Dividing fractions (items 18–20)

  1. How many halves are there in 4? ______
  2. 3 ÷ ¼ = ______
  3. ½ ÷ ¼ = ______

Answer key — Summative Test 2

# Answer # Answer
1 ⅓ 11 ¾
2 3/10 12 40 sq cm
3 ½ 13 42 sq cm
4 ¼ 14 32 sq cm
5 6 15 The dotted line — the perpendicular distance between the parallel sides
6 ⅝ × ¾ 16 6 cm
7 1 17 17 sq cm
8 ½ 18 8
9 3/10 m 19 12
10 ₱200 20 2

Marking notes.

5. Term 1 Examination — Weeks 1–11

40 items · 60 minutes · end-of-term block Built to the Table of Specifications in §2.

Part A · 12- and 24-hour time (items 1–6)

  1. Write 16:00 in 12-hour time. ______
  2. Write 6:45 a.m. in 24-hour time. ______
  3. Write 11:55 p.m. in 24-hour time. ______
  4. Write 00:30 in 12-hour time. ______
  5. A jeepney leaves at 05:50. The trip takes 2 hours 40 minutes. What time does it arrive? ______
  6. Which is earlier — 13:05 or 1:50 p.m.? ______

Part B · World time zones (items 7–10)

Manila is UTC+8.

  1. Singapore is UTC+8. When it is 14:00 in Manila, what time is it in Singapore? ______
  2. Dubai is UTC+4. When it is 17:00 in Manila, what time is it in Dubai? ______
  3. Sydney is UTC+10. When it is 09:00 in Manila, what time is it in Sydney? ______
  4. A worker in Milan (UTC+1) finishes work at 18:00 local time. What is the date and time in Manila? ______

Part C · The GMDAS rules (items 11–15)

  1. 8 + 4 × 3 = ______
  2. (8 + 4) × 3 = ______
  3. 36 ÷ 6 + 2 × 5 = ______
  4. 50 − (12 + 8) ÷ 4 = ______
  5. 2 × (15 − 3 × 4) + 7 = ______

Part D · Multiplying fractions (items 16–23)

Give every answer in simplest form.

  1. ½ × ⅕ = ______
  2. ⅔ × ⅗ = ______
  3. ¾ × ⅔ = ______
  4. ⅞ × ⅔ = ______
  5. ⅘ × ⅝ = ______
  6. A grid has 5 columns and 3 rows and models ⅘ × ⅔. How many cells are shaded twice? ______
  7. Which is larger — ⅗ or ⅗ × ⅞? ______
  8. 2½ × ⅘ = ______

Part E · Multi-step problems with fractions (items 24–28)

Show your working.

  1. ¾ of a ₱800 budget is spent. ⅓ of the amount spent went on food. How much went on food? ______
  2. ⅔ × ½ + ¼ = ______
  3. ⅘ − ½ × ⅗ = ______
  4. A tank is ⅔ full. ¼ of the water in it is used. What fraction of the whole tank was used? ______
  5. ⅗ of a class are boys. ⅔ of the boys and ½ of the girls play basketball. What fraction of the whole class plays basketball? ______

Part F · Area (items 29–35)

  1. Find the area of a parallelogram with base 9 cm and height 6 cm. ______
  2. Find the area of a triangle with base 10 cm and height 8 cm. ______
  3. Find the area of a trapezoid whose parallel sides are 5 cm and 9 cm, with a height of 6 cm. ______
  4. In a leaning parallelogram, which measurement is the height — the slanted side, or the perpendicular distance between the parallel sides? ______
  5. A triangle has an area of 30 sq m and a height of 5 m. What is its base? ______
  6. A shape traced on a 1 cm grid covers 22 whole squares and 8 half squares. Estimate its area. ______
  7. A triangle and a parallelogram have the same base and the same height. How do their areas compare? ______

Part G · Dividing fractions (items 36–40)

  1. How many halves are there in 4? ______
  2. 3 ÷ ¼ = ______
  3. ½ ÷ ⅙ = ______
  4. ¾ ÷ ⅛ = ______
  5. A ribbon 6 m long is cut into pieces each ⅔ m long. How many pieces are there? ______

Answer key — Term 1 Examination

# Answer # Answer # Answer # Answer
1 4:00 p.m. 11 20 21 8 31 42 sq cm
2 06:45 12 36 22 ⅗ 32 The perpendicular distance
3 23:55 13 16 23 2 33 12 m
4 12:30 a.m. 14 45 24 ₱200 34 26 sq cm
5 08:30 15 13 25 7/12 35 The triangle's area is half the parallelogram's
6 13:05 16 ⅒ 26 ½ 36 8
7 14:00 17 ⅖ 27 ⅙ 37 12
8 13:00 18 ½ 28 ⅗ 38 3
9 11:00 19 7/12 29 54 sq cm 39 6
10 01:00 the next day 20 ½ 30 40 sq cm 40 9

Marking notes — Term 1 Examination

Suggested mark allocation. One mark per item for items 1–9, 11–21, 29–32, 34, 36–39. Two marks each for items 10, 22, 23, 24, 25, 26, 27, 33, 35, 40. Three marks for item 28. That is 29 one-mark items, 10 two-mark items and one three-mark item — 52 marks over 40 items; scale to whatever your school records.

6. Week 7 weekly check

10 items · 15 minutes · Day 5 · Written Works Covers only competency Q1 · 8 — multiply a fraction by a fraction.

Give every answer in simplest form.

  1. ½ × ⅓ = ______
  2. ⅔ × ¾ = ______
  3. ⅗ × ½ = ______
  4. ⅞ × ⅔ = ______
  5. ¾ × ⅘ = ______
  6. Which is larger — ⅔ × ¾ or ⅔? ______
  7. A grid has 5 columns and 4 rows and models ⅗ × ¾. How many cells are shaded twice? ______
  8. ⅖ of ⅚ of a class walk to school. What fraction of the class is that? ______
  9. 2¼ × ⅔ = ______
  10. In one sentence, explain why ⅘ × ⅓ is smaller than ⅓. ______

Answer key — Week 7 weekly check

# Answer Note
1 ⅙
2 ½ 6/12 — accept 6/12 only if simplification was not asked for; it was
3 3/10
4 7/12 14/24
5 ⅗ 12/20
6 ⅔ Because ¾ is less than one
7 9 3 × 3 shaded, out of 5 × 4 = 20
8 ⅓ 10/30
9 1½ 9/4 × 2/3 = 18/12
10 Any wording carrying "we are taking a part of ⅓, so it must be less than ⅓" or "⅘ is less than one"

Item 10 is worth reading before any of the others. A class that scores 9/10 with item 10 blank has learned a procedure. The Week 8 multi-step work and the Week 10 division work both fail on exactly that gap.

7. Performance task rubrics

All four rubrics use 4 criteria × 4 levels = 16 points. Convert with score ÷ 16 × 100 for the Performance Tasks component.

7.1 The OFW Call Schedule — Term 1 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Time conversion All times correct in both 12- and 24-hour notation One notation error Several errors, but the method is visible Conversions absent or unusable
Zone reasoning Every offset applied correctly, including any day change Offsets correct, day change missed One offset wrong Offsets guessed
Justification Explains why each slot avoids sleeping hours at both ends Explains for one end only Asserts without reasoning No justification
Presentation One page, readable, every city labelled with its offset Readable, some labels missing Cluttered but complete Incomplete

7.2 The Sari-Sari Receipt Audit — Term 2 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Data collection Ten genuine amounts, sources named Ten amounts, sources vague Fewer than ten, or invented Data absent
Ordering and rounding All ten ordered and rounded correctly One or two errors Method visible, several errors Not attempted
Checking Total verified two different ways, both shown Verified once Total given, no check No total
Written reasoning Identifies specifically where a rounding error would hide, with an example Identifies the risk generally Mentions rounding without insight Absent

7.3 Two Seasons, One Graph — Term 3 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Graph choice Bar or line chosen correctly and defended in writing Chosen correctly, thin defence Chosen incorrectly but defended No choice made
Construction Scale, axes, key and labels all correct One element missing Several missing; graph still readable Not readable
Conclusions Two conclusions the data genuinely supports Two conclusions, one weak One conclusion None
Critical reading Names a conclusion a reader might wrongly draw, and says why it does not follow Names one, weak reasoning Vague caution Absent

7.4 The Box That Wastes Least — Term 3 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Net Accurate, folds correctly into the intended solid Folds with minor adjustment Recognisable, does not fold Not a net
Surface area Computed correctly for both boxes, working shown One computation correct Method visible, both wrong Not attempted
The improvement Second box genuinely uses less material, and the saving is proved numerically Second box better, saving asserted Second box built, no comparison Only one box
Construction Built, holds the objects, neatly made Built, holds the objects Built, does not hold them Not built

7.5 Group activity rubrics

The two group activities in offline-activities.md carry their own 12-point rubrics — 4 criteria × 3 levels — at the foot of each activity. They are scored separately and also feed the Performance Tasks component.

8. What is deliberately not in this pack

Naming the gaps so nobody assumes they are covered.

Not here Why
Term 2 and Term 3 papers The repository teaches Term 1 Week 7 in full. Writing summatives for content that has no lesson plans behind it would be filling a table, not building an assessment
A Grade 5 diagnostic / pre-test Would need the Grade 4 exit standard as its spine, and belongs with the Grade 4 set rather than here
Item analysis or difficulty indices These require real learner data. The cognitive-level column in §2 is a design intention, not a measured difficulty
A DepEd-format TOS No prescribed layout was obtainable. §2 is this repository's
Rubrics for the term examination It is objectively marked; the answer key and the mark allocation in §5 are the whole instrument
Anything below raw 70 on the transmutation table The reported table gives one anchor — raw 70 → 75. class-record.html refuses to interpolate below it and prints "see order" rather than inventing a grade

Part of the E-turo MATATAG artifact set. Companion files: syllabus.md · lesson-plan.md · lesson-plan-ilaw.md · offline-activities.md · class-record.html · worksheet.html