(i) Algebraic fractions (i) with monomial denominators (ii) with binomial denominators B Volumes (i) volumes of cubes, cuboid, cylinders, cones and right pyramids, * spheres (ii) volumes of similar solids C (c) Lengths and perimeters (ii) lengths of arcs of circles, perimeters of sectors and segments C (a)Ĭircles (i) chords (ii) the angle which an arc of a circle subtends at the centre is twice that which it subtends at any point on the remaining part of the circumference (iii) any angle subtended at the circumference by a diameter is a right angle (iv) angles in the same segment equal (v) angles in opposite segments are supplementary (vi) perpendicularly of tangent and radius (vii) if a straight line touches a circle at only one point and from the point of contact a chord is drawn, each angle which this chord makes with the tangent is equal to the angle in the alternative segment D (d)Īreas (i) triangles and special quadrilaterals – rectangles, parallelograms and trapezia (iii) Surface areas of cube, cuboid, cylinder, right triangular prisms and cones. Triangles and other polygons (v) properties of special quadrilaterals - parallelogram, rhombus, rectangle, square, trapezium (vii) the sum of the angles of a polygon (viii) property of exterior angles of a polygon D (c) Transformations in the Cartesian Coordinate plane (i) reflection (ii) rotation (iii) translation G (b) Triangles and other polygons (i) the sum of the angles of a triangle is 2 right angles (ii) the exterior angle of a triangle equals the sum of the two interior opposite angles (iii) congruent triangles (iv) properties of special triangles - isosceles, equilateral, right-angled D (c) Sine, cosine and tangent of an angle (i) sine, cosine and tangent of an acute angle E (a)Īngles of elevation and depression E (b) Lengths and perimeters (i) use of Pythagoras theorem, sine and cosine rules to determine lengths and distances C (a) Triangles and other polygons (vi) properties of similar triangles D (c) Loci (i) points at a given distance from a given point (ii) points equidistant from two given points (iii) points equidistant from two given straight lines (iv) points at a given distance from a given straight line D (f)Īngles at a point (iii) vertically opposite angles are equal D (a)Īngles and intercepts on parallel lines (i) alternate angles are equal (ii) corresponding angles are equal (iii) interior angles are supplementary D (b)Ĭonstruction (ii) line parallel or perpendicular to a given line D (e)Īngles and intercepts on parallel lines (iv) intercept theorem D (b) Graphs of linear and quadratic functions (v) equations of a line B (f)Īngles at a point (i) angles at a point add up to 360 (ii) adjacent angles on a straight line are supplementary D (a)Ĭonstruction (i) bisectors of angles and line segments (iii) an angle of 90, 60, 45, 30 and an angle equal to a given angle D (e) Graphs of linear and quadratic functions B (f) Graphs of linear and quadratic functions (i) drawing quadratic graphs and obtaining roots from graphs (ii) graphical solution of a pair of equations of the form y=ax2 bx c and y = mx k B (f) Quadratic equations (i) solution of quadratic equations (ii) construction of quadratic equations with given roots (ii) application of solution of quadratic equations in practical problems B (e) Simple operations on algebraic expressions (i) expansion (ii) factorisation B (b) Numbers, Operations and Expressions - Algebra I Relations and functions (i) relations (ii) functions B (h) Linear inequalities (ii) graphical solution of linear inequalities in two variables B (g) Solution of linear equations (ii) simultaneous linear equations in two variables B (c) Graphs of linear and quadratic functions (i) interpretations of graphs, coordinates of points, table of values (v) equation of a line B (f) Linear inequalities (i) Solution of linear inequalities in one variable and representation B (g) Solution of linear equations (i) linear equations in one variable B (c)Ĭhange of subject of a formula/relations (i) Change of subject (ii) Substitution B (d) Indices (ii) numbers in standard form A (c)Īlgebraic Expressions (i) expression of statements in symbols (ii) formulating algebraic expressions from given situations (iii) evaluation of algebraic expressions The WAEC syllabus outline can be accessed under Teacher Resources.įractions, decimals and approximations A (b) Select the appropriate PMI unit link to access materials that correspond to the WAEC core maths topics below. The majority of these topics are covered in PMI Grades 7 and 8, Algebra I, Geometry, and Algebra II units. 0.005\).The West African Exam Council (WAEC) core maths syllabus covers 7 major topics: A.
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