Math

• What is the volume of a box with dimensions 5 cm by 6 cm by 2 cm?

  60 cm³
• How do you calculate the volume of a rectangular box?

  Multiply length, width, and height
• What is the volume of a cube with side length 1 cm?

  1 cm³
• What is the formula for the area of a rectangle?

  Area = length × width
• What are the steps to find the area of a triangle?

  • Identify the base and height
  • Use the formula: Area = ½ × base × height
• What is the area of a rectangle with length 5 cm and width 4 cm?

  20 cm²
• What is the area of a parallelogram?

  Area = base × height
• What is the area of a trapezium with bases 6 cm and 4 cm, and height 4 cm?

  20 cm²
• How do you find the area of a kite?

  Area = ½ × diagonal1 × diagonal2
• What is the formula for the area of a circle?

  Area = π × radius²
• What is the difference between HCF and LCM?

  HCF is the highest common factor; LCM is the lowest common multiple
• What is a prime number?

  A number with exactly two factors
• How do you find the nth term of a sequence?

  Identify the pattern and use a formula
• What is the 20th term of the sequence 3n + 2?

  62
• What is the formula for the volume of a prism?

  Volume = area of cross-section × length
• How do you multiply a decimal by a decimal?

  Convert to whole numbers, multiply, then adjust
• What is the result of multiplying 1.7 by 1.3?

  1. 21
• How do you order decimals from smallest to largest?

  Compare the values of each decimal
• What is the surface area of a cube with side length 4 cm?

  96 cm²
• What is the number of faces on a cube?

  6
• How do you find the surface area of a cylinder?

  Use the formula: 2πr(h + r)
• What are the properties of 3D shapes?

  • Faces: flat surfaces
  • Edges: line segments where faces meet
  • Vertices: points where edges meet
• What is the number of vertices on a cuboid?

  8
• How do you find the plan, front, and side views of a shape?

  Draw projections of the shape from each view
• What are the steps to find the surface area of a cuboid?

  1. Calculate area of each face
  2. Sum the areas
  3. Use the formula: SA = 2(lw + lh + wh)
• What are the differences between a cube and a cuboid?

  • Cube: all sides equal
  • Cuboid: sides can differ
  • Both have 6 faces, 12 edges, 8 vertices
• What is the significance of prime factors in mathematics?

  • Help in finding HCF and LCM
  • Useful in simplifying fractions
  • Important in number theory
• What is the process for rounding numbers?

  • Identify the place value to round
  • Look at the digit to the right
  • Round up or down based on that digit
• What is the surface area of a triangular prism?

  Area = base area + lateral area
• How do you calculate the volume of a cone?

  Volume = ⅓ × π × radius² × height
• What is the formula for the surface area of a sphere?

  Surface Area = 4πr²
• What is the relationship between area and perimeter?

  Area measures space; perimeter measures boundary
• How do you differentiate between area and volume?

  Area is 2D; volume is 3D measurement
• What is the formula for the area of a rectangle?

  Area = length × width
• How do you find the area of a trapezium?

  Area = ½ × (base1 + base2) × height
• What is the formula for the area of a rhombus?

  Area = ½ × diagonal1 × diagonal2
• What is the significance of the highest common factor (HCF)?

  It helps simplify fractions and find common divisors
• What is the formula for the volume of a cylinder?

  Volume = πr²h
• How do you find the surface area of a cone?

  Surface Area = πr(r + l)
• How do you calculate the surface area of a triangular prism?

  Sum the areas of the triangular bases and the rectangular sides