Maths AF1

    Cards (43)

    • What is the formula to calculate the volume of a cuboid?
      Volume = length × width × height
    • What are the dimensions of the cuboid in the problem?
      10 cm, 4 cm, 3 cm
    • How do you calculate the volume of the given cuboid?
      Multiply 10 cm, 4 cm, and 3 cm
    • What is the calculated volume of the cuboid?
      120 cm³
    • What is the perimeter of the parallelogram ABCD?
      31 cm
    • How do you express the perimeter of the parallelogram in terms of x?
      3x + 5 + 3x + 5 + x + 2 + x + 2
    • What equation can be formed from the perimeter of the parallelogram?
      3x + 5 + 3x + 5 + x + 2 + x + 2 = 31
    • What is the shape of the oil tank described in the problem?
      Cuboid
    • What are the dimensions of the oil tank?
      3 m, 5 m, 50 cm
    • How is the cost of the material for the tank calculated?
      Cost = perimeter × cost per metre
    • What is the cost per metre of the special material?
      £12
    • How do you calculate the perimeter of the oil tank?
      Perimeter = (5 + 3 + 5 + 3) × 2 + 0.5 × 4
    • What is the total cost of the material for the tank?
      £156
    • How many bottles can one machine fill in an hour?
      200 bottles
    • How long will it take five machines to fill 200 bottles?
      12 minutes
    • What is the relationship between the number of machines and time taken to fill bottles?
      • More machines reduce time taken
      • Time is inversely proportional to machines
      • Graph shows time vs. number of machines
    • How would you sketch a graph of time taken to fill 200 bottles against the number of machines?
      • X-axis: Number of machines
      • Y-axis: Time taken (minutes)
      • Plot points for 1 to 5 machines
    • What is the equation represented by 11=330?
      X = 30
    • What is the solution to the equation 7 + 11y = 29?
      y = 2
    • How do you solve the equation 4(z + 8) = 62?
      Subtract 32 from both sides
    • What is the result of 42 + 32?
      62
    • What is the value of 1/x if x = 330?
      1/330
    • What is the y-intercept of the line on the grid?
      (0, 5)
    • How do you calculate the gradient of a line?
      Change in y over change in x
    • What is the left-hand side (LHS) of the equation (2x + 3)(x - 5) + x(x + 7) + 9?
      2x² - 8x + 15 + x² + 7x + 9
    • What does the right-hand side (RHS) of the equation equal?
      3( - 2)
    • What are the steps to show that (2x + 3)(x - 5) + x(x + 7) + 9 = 3(x² - 2)?
      1. Expand (2x + 3)(x - 5)
      2. Expand x(x + 7)
      3. Combine like terms
      4. Simplify to match RHS
    • What are the values of a and b if a + b = 800 and b is 250 greater than a?
      a = 275, b = 525
    • How do you calculate the volume of a sphere with radius 3 cm?
      • Volume formula: \( V = \frac{4}{3} \pi r^3 \)
      • For \( r = 3 \): \( V = \frac{4}{3} \pi (3^3) = 36\pi \)
    • What is the volume of the cylinder with a diameter of 6 cm and height of 20 cm?
      Volume = \( 180\pi \text{ cm}^3 \)
    • What is the formula for the volume of a triangular prism?
      Volume = base area × height
    • What does the drawing represent in the study material?
      A glass box that protects a statue
    • How do you find the surface area of a triangular prism with a volume of 168 cm³?
      Calculate cross-sectional area and height
    • What is the surface area calculation for a triangular prism with base area 24 cm² and height 7 cm?
      • Surface area = 2 × base area + perimeter × height
      • For base area = 24 cm², height = 7 cm
      • Calculate total surface area
    • What is the purpose of the barrier around the box?
      To prevent people from standing within 80 cm
    • How should the locus of the barrier be drawn?
      Using a scale of 1 cm to 20 cm
    • What are the conditions for shading the trapezium region?
      • Closer to CB than CO
      • Less than 4 cm from B
    • What is the formula given in the study material?
      b = 4 + 5g
    • How can the formula be rearranged to make g the subject?
      g = (b - 4) / 5
    • What is the condition for congruency of the triangles identified?
      Triangle G is congruent to triangle 29 by SSS
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