## (For Final and International Round)

Kindergarten Group (Category 1)
• Addition with 1-digit numbers without carrying
• Subtraction on 1-digit numbers without carrying
• Balance Problem
• Basic number pattern and figure pattern
• Odd and Even numbers
• Counting 2-D and 3-D shapes
• Arranging the number in order
• Creating 3 digit numbers
• Comparing numbers
• Matching Equation
• Counting numbers of sides and interior angles
• Basic Number sequence
Grade 1 – 2 (Category 2)
• Basic number pattern and sequence
• Age and Date problem
• Addition 2 digits with carrying
• Subtraction 2 digits with carrying
• Odd and Even
• Counting on 2D and 3Dshapes
• Basic Arithmetic pattern
• Simple Combination
• Finding squares and triangles
• Balance problem
• Counting on numbers of sides and angles
• Formation of 3-digit numbers
Grade 3 – 4 (Category 3)
• Addition and subtraction 3 digits with carrying
• Sum, different and multiples of number sentence
• IQ age problem and date problem
• Pigeonhole problem
• Basic concept about area and perimeter
• Guess on 3 digits numbers
• Chicken and rabbit theorem
• Counting on numbers of 2 D shapes
• Counting on the number of Vertices, Faces and Edges of 3-D figure
• Finding lines segments and intersection point
• Basic routing problem
• L.C.M and H.C.F
Grade 5 – 6 (Category 4)
• Chicken and rabbit problem
• Pigeon Hole problem
• Speed and Time problem
• Calculation with decimal and fraction
• Area and perimeter of 2D shapes
• Excess and shortage problems
• Finding volume and surface area of 3D shapes
• Sum of positive numbers series
• Combinations and permutation
• Basic probability
• Method of difference equation
• Guess on 4 digits numbers
Grade 7 – 8 (Category 5)
• Speed, distance and time problems
• Algebraic expression
• Basic Inequalities
• Pigeonhole theorem (Hard)
• Routing problem (Hard)
• Linear equation
• Volume and surface area of 3D shapes
• Factor theorem
• Distributions (Hard)
• Combination and permutations
• Counting on possible solution on Indefinite equations
• Pythagorean Theorem
Grade 9 – 10 (Category 6)
• Four arithmetical operations on rational numbers and irrational numbers; HCF, LCM, square roots, cube roots, primes, prime factorization and relatively prime
• Length, mass, volume, time, money; percentage (including simple and compound interest formulae), ratio, rate, distance, speed, map scales, direct and inverse proportions
• Expansion and factorization of algebraic expressions; three perfect squares identities; linear and quadratic expressions, equations (including quadratic formula) and inequalities; solving word problems using algebra
• Graphs of linear (including distance-time and speed-time graphs, and gradient of straight line), quadratic and power functions (y = a xn for n = –2, –1, 0, 1, 2, 3)
• Standard form, indices (including zero, negative and fractional indices) and surds (including rationalizing denominator)
• Remainder and factor theorems; solving of cubic equations by factorization; two perfect cubes identities (i.e. sum and difference of perfect cubes); partial fractions; binomial theorem
• Properties of rectangle, square, triangle, parallelogram, rhombus, trapezium, kite and regular polygons; perpendicular bisector and angle bisector; exterior angle of triangle, sum of interior angles of polygon and sum of exterior angles of polygon; angles associated with parallel lines (corresponding angles, alternate angles and interior angles)
• Congruence tests for triangles, Area and perimeter of triangle, rectangle, square, parallelogram and trapezium;
• Probability of single events
• Circumference of circle; volume and surface area of prism, cylinder, pyramid, cone and sphere; arc length, sector area and area of segment of circle (where angles are in degrees and in radians)
• Pythagoras’ theorem and its converse; and generalized Pythagoras’ theorem
• Trigonometric ratios of acute and obtuse angles; sine rule; cosine rule; 3D problems
• Picture graphs (or pictograms), bar graphs, tables of values, line graphs, pie charts, histograms for ungroupped and grouped data; average (mean, median and mode)
• Simple Venn diagrams
• Divisibility tests and combined divisibility tests
• Number sequences and patterns (including formula to find 1 + 2 + 3 + … + n, i.e. (𝑛+1)2, and formula for general term of arithmetic progression, i.e. Tn = a + (n – 1) d, although students can use other methods)
• Counting (e.g. no. of terminal zeros)
• Logarithms
• Derivative and Integrals
• Logic problems and Cryptarithms
Grade 11 – 12 (Category 7)
• Four arithmetical operations on rational numbers and irrational numbers; HCF, LCM, square roots, cube roots, primes, prime factorization and relatively prime
• Length, mass, volume, time, money; percentage (including simple and compound interest formulae), ratio, rate, distance, speed, map scales, direct and inverse proportions
• Expansion and factorization of algebraic expressions; three perfect squares identities; linear and quadratic expressions, equations (including quadratic formula) and inequalities; solving word problems using algebra; modulus functions (excluding graphs)
• Graphs of linear (including distance-time and speed-time graphs), quadratic and power functions (y = a xn for n = –2, –1, 0, 1, 2, 3)
• Coordinate geometry formulae (gradient, length of line segment, midpoint, perpendicular lines, and shoelace formula)
• Standard form, indices (including zero, negative and fractional indices) and surds (including rationalizing denominator); logarithms (including product law, quotient law, power law and change of base formula)
• Remainder and factor theorems; solving of cubic equations by factorization; two perfect cubes identities (i.e. sum and difference of perfect cubes); partial fractions; binomial theorem
• Properties of rectangle, square, triangle, parallelogram, rhombus, trapezium, kite and regular polygons; perpendicular bisector and angle bisector
• Exterior angle of triangle, sum of interior angles of polygon and sum of exterior angles of polygon; angles associated with parallel lines (corresponding angles, alternate angles and interior angles)
• Symmetric and angle properties of circles
• Congruence and similarity tests for triangles
• Area and perimeter of triangle, rectangle, square, parallelogram and trapezium; area and
• Circumference of circle; volume and surface area of prism, cylinder, pyramid, cone and sphere; arc length, sector area and area of segment of circle (where angles are in degrees and in radians)
• Pythagoras’ theorem and its converse; and generalized Pythagoras’ theorem
• Trigonometric ratios of angles in all quadrants; sine rule; cosine rule; 3D problems; angle of elevation, angle of depression and bearings; graphs of sine, cosine and tangent functions; cosecant, secant and cotangent; trigonometric identities, formulae and equations
• Picture graphs (or pictograms), bar graphs, tables of values, line graphs, pie charts, histograms for ungroupped and grouped data; average (mean, median and mode)
• Probability of single and combined events (including additive law for mutually exclusive events, multiplicative law for independent events, possibility diagrams, tree diagrams and probability trees for independent and dependent events; but excluding non-mutually exclusive events and
• Bayes’ theorem (for conditional probabilities)
• Divisibility tests and combined divisibility tests
• Number sequences and patterns (including formula to find 1 + 2 + 3 + … + n, i.e. (𝑛+1)2, and formula for general term of arithmetic progression, i.e. Tn = a + (n – 1) d, although students can use other methods)
• Counting (e.g. no. of terminal zeros)
• Simple Venn diagrams
• Logarithms, Derivative and Integrals
• Logic problems and Cryptarithms