Onlinetuition.com Mathematics – Form 1, 2 & 3
6.5.1 Volume of Three Dimensional Shapes, PT3 Practice Question 1: The diagram below shows a cone with diameter 14 cm and height 6 cm. Find the volume of the cone, in cm3. Solution: Volume of a cone = 1 3 π r 2 h = 1 3 × 22 7 × 7 2 … Read more
6.4.1 Surface Area of Three Dimensional Shapes, PT3 Focus Practice Question 1: Diagram below shows closed right cylinder. Calculate the total surface area, in cm2, of the cylinder. ( π = 22 7 ) Solution: Total surface area = 2(πr2) + 2πrh = ( 2 × 22 7 × 7 2 ) + ( … Read more
6.3 Volume of Three Dimensional Shapes 6.3.1 Right Prisms and Right Circular Cylinders 1. 2. 6.3.2 Right Pyramids and Right Circular Cones 1. 2. 6.3.3 Spheres 1. 2.
5.2.1 Circles, PT3 Focus Practice Question 1: Diagram below shows a circle with centre O. The radius of the circle is 35 cm. Calculate the length, in cm, of the major arc AB. ( Use π= 22 7 ) Solution: Angle of the major arc AB = 360o – 144o= 216o Length of major … Read more
5.1a Circles 5.1.1 Parts of a Circle 1. A circle is set of points in a plane equidistant from a fixed point. 2. Parts of a circle: (a) The centre, O, of a circle is a fixed point which is equidistant from all points on the circle. (b) A sector is the region enclosed by two … Read more
4.2.1 Polygons, PT3 Practice Question 1: Diagram below shows a pentagon PQRST. TPU and RSV are straight lines. Find the value of x. Solution: Sum of interior angles of a pentagon =( 5−2 )× 180 o =3× 180 o = 540 o ∠TSR= 180 o − 70 o = 110 o ∠TPQ= 180 o − 85 o = 95 o x o = … Read more
4.1 Polygons 4.1.1 Regular Polygons 1. A regular polygon is a polygon where (a) all its sides are of equal length, and (b) all its interior angles are of equal size. 2. The number of axis of symmetry of a regular polygon is equal to its number of sides. Example: 4.1.2 Exterior and Interior Angles of … Read more
3.2.1 Algebraic Formulae, PT3 Practice Question 1: Given m2+ 7 = k, express m in terms of k. Solution: m 2 + 7 = k m 2 = k − 7 m = k − 7 Question 2: Given 5km = mn – 2k, express k in terms of m and n. Solution: … Read more
3.1 Algebraic Formulae 3.1.1 Variables and Constant 1. A variable is a quantity without a fixed value. 2. A constant is a quantity with a fixed value. 3.1.2 Concept of Formulae 1. An algebraic formula is an equation which shows the relationship between several variables and/ or constant. 2. The subject of an algebraic formula is a linear variable … Read more
Question 5: (a) Simplify: (m – 4n)(m + 4n) – m2 (b) Simplify: 3 x − 3 y x + y × 2 x + 2 y 6 x Solution: (a) (m – 4n)(m + 4n) – m2 = m2 + 4mn – 4mn – 4n2 – m2 = 0 (b) 3 x − 3 … Read more