PACTA new syblluse math full test 2026 grade 08 PACTA

Chapter 1

Exam format (Grade 8 Math 2026) + ALP smart syllabus + revision strategy

1

Paper pattern: sections, marks, MCQ vs subjective, what skills are tested

2

ALP (reduced syllabus): create an Included vs Skipped checklist from the official document

3

Exam technique: time management, step-by-step working, neat diagrams & units

4

Mock-test routine: diagnose weaknesses and improve score fast

2 subtopics

5

Do full-length timed mock tests (at least 3) and review every question

6

Maintain an error log (concept error vs calculation vs misread vs time pressure)

Chapter 2

Numbers, operations, sets, ratio & proportion (core Grade 8 exam content)

7

Number system basics: rational/irrational, absolute value, reciprocals

8

Decimals & approximation: rounding to required decimal places (positive/negative)

9

Sets: notation, subsets/power set, union/intersection/complement, De Morgan laws

10

Ratio & proportion: fourth proportional, unitary method foundation

11

Word-problem method (shared skill): translate, solve, and present clearly

2 subtopics

12

Translate words → math: identify given data, required quantity, choose formula/strategy

13

Checking: units, estimation, and reasonableness (avoid silly mistakes)

14

Practice set (Numbers/Sets/Ratio): mixed MCQs + short questions

Chapter 3

Percentages & financial arithmetic (discount, profit/loss, real-life word problems)

15

Percentage basics: percent ↔ fraction/decimal, percentage change, discounts

16

Profit & loss / selling price / cost price (exam-style questions)

17

Rates & unitary method: cost of multiple items, best-buy style questions

↗ Word-problem method (shared skill): translate, solve, and present clearly (see Chapter 2)

18

Practice set (Percent/Finance): 30–50 word problems with full working

Chapter 4

Algebra & sequences (expressions, polynomials, factorization, AP/GP)

19

Algebraic expressions: coefficients, exponents, simplifying & multiplying terms

20

Polynomials: degree, identifying terms, basic operations

21

Factorization: identities (e.g., a²−b²) and quadratic trinomials (exam patterns)

22

Sequences: arithmetic (nth term) and geometric (next/particular term)

23

Practice set (Algebra/Sequences): MCQs + long questions + identity problems (x+1/x)

Chapter 5

Geometry & constructions (circles, quadrilaterals, compass constructions)

24

Circle basics: radius/diameter/chord/tangent and quick identification questions

25

Quadrilaterals: properties (parallelogram, rhombus, rectangle, square, kite)

26

Geometric construction: construct a rhombus (given side & angle) and similar tasks

27

Geometry practice set: drawing accuracy + written steps + reasoning

Chapter 6

Mensuration / Measurement (surface area & volume)

28

Foundation recap: area of circle, π use, unit conversions (cm², cm³, m², m³)

29

Sphere: surface area and volume (apply formulas correctly)

30

Cone & hemisphere: surface area and volume (step-by-step)

31

Composite solids: split into known shapes and add/subtract volumes/areas

↗ Word-problem method (shared skill): translate, solve, and present clearly (see Chapter 2)

32

Practice set (Mensuration): 25–40 problems with units + final boxed answer

Chapter 7

Statistics (data handling & central tendency)

33

Data organization: tables, grouped data, frequency & cumulative frequency

34

Mean / median / mode: especially median from a frequency table (exam style)

35

Interpretation: read and explain graphs (where included) + conclude from data

↗ Word-problem method (shared skill): translate, solve, and present clearly (see Chapter 2)

36

Practice set (Statistics): mixed problems + 1 timed mini-test