Number Sense & Place Value
Numbers up to 9,999 (some olympiads go up to 99,999). Reading, writing, comparing, and ordering 4-digit numbers. Place value of digits (ones, tens, hundreds, thousands). Expanded form and standard form. Rounding numbers to the nearest 10 and 100. Roman numerals (I to C in many syllabi).
Addition & Subtraction
Addition and subtraction of 3- and 4-digit numbers with regrouping. Estimating sums and differences. Solving missing addend/subtrahend problems. Properties of addition — commutative, associative, and identity property.
Multiplication & Division
This is a major new area at Grade 3. Multiplication tables up to 10×10 (some boards up to 12×12). Multiplication as repeated addition and using arrays. Properties of multiplication — commutative, associative, distributive, and zero property. Introduction to division as equal sharing and repeated subtraction. Relationship between multiplication and division (fact families). Multiplying 2-digit numbers by a 1-digit number.
Fractions
Fractions as parts of a whole and parts of a group. Numerator and denominator. Comparing fractions with the same denominator. Equivalent fractions (basic). Placing fractions on a number line. Mixed numbers and improper fractions (introductory level in some olympiads).
Patterns & Algebra Readiness
Number patterns using addition, subtraction, and multiplication. Input-output tables (function machines). Finding rules for patterns. Growing and shrinking patterns. Simple equations with a missing variable (e.g., □ × 4 = 24).
Geometry
Properties of 2D shapes — sides, angles, vertices. Introduction to angles — right angle, acute, and obtuse (conceptual). Perimeter of simple shapes (rectangles, squares, triangles). Lines — parallel, perpendicular, and intersecting. Symmetry — lines of symmetry in figures. Introduction to area using unit squares (counting squares).
Measurement
Length in mm, cm, m, and km — conversion between units. Weight in grams and kilograms. Capacity in millilitres and litres. Telling time to the nearest minute; elapsed time problems. Calendar problems — days, weeks, months. Money — making change, adding prices, simple budgeting problems.
Data Handling & Statistics
Reading and constructing bar graphs, pictographs, and tally charts. Interpreting data — most/least, difference, total. Introduction to line plots. Finding the mode of a simple data set. Basic probability — likely, unlikely, certain, impossible.
Logical Reasoning & Word Problems
This is where olympiads truly differentiate themselves. Topics include multi-step word problems, Venn diagrams with two sets, puzzles involving number properties, age-related problems, arrangement and ordering problems, direction and distance problems, and simple analogies involving numbers and shapes.
Key Differences from Grade 2
| Area | Grade 2 | Grade 3 |
|---|---|---|
| Numbers | Up to 1,000 | Up to 9,999+ |
| Operations | Add/Subtract only | Full multiplication & division |
| Fractions | Halves & quarters | Equivalent fractions, number line |
| Geometry | Shape recognition | Perimeter, area, angles |
| Reasoning | 1-step logic | Multi-step & Venn diagrams |
Recommended Preparation Strategy
Starting with concept clarity is essential before moving to Olympiad-level problems. A good progression is to master the school curriculum first, then move to olympiad workbooks (MTG, BMA, or Pearson are popular for IMO/SOF). Solving 2–3 previous years' papers in timed conditions makes a major difference. Focus extra time on logical reasoning since that section separates high scorers from average ones.