Grade 8 ,Maths, Indices Worksheet

 The Grade 8 worksheet comprehensively covers foundational mathematical concepts through diverse problem types, emphasizing real-world applications and critical thinking. Key sections include:

1. Mass/Unit Conversions & Arithmetic: Students solve practical problems like distributing paddy in lorries (16 t 200 kg ÷ 9) and bridge load limits (5.5 t lorry + cement bags), requiring metric conversions (e.g., 4.05 t to kg) and operations with mixed units.

2. Indices & Algebraic Manipulation: Exercises explore power expansions ($(3ab{)}^3=27a^3{b}^3$), negative bases ($(-5{)}^3=-125$), and factorization (HCF of $12x,6xy,9x^2=3x$), alongside expressions like perimeter formulas ($16x+10$) and substitution ($x=-2,y=3$).

The worksheet integrates geometry and symmetry to develop spatial reasoning:

• Symmetry: Students analyze rotational symmetry orders (e.g., hexagon: 6, parallelogram: 2) and bilateral properties (rectangle: 2 axes), distinguishing figures like scalene triangles (no symmetry) and regular octagons (8 axes).

• Geometry & Sequences: Problems include angle relationships (complementary/supplementary angles), 3D shapes (dodecahedron faces), and triangular numbers ($T_{20}=210$), while reinforcing integer operations ($(-12)÷(-3)=4$) and inequalities ($a^2>a^3$ for negative $a$).