Math

• What is the date mentioned for the first entry?

  20 Marsh
• What is the value of 1 builder's work rate?

  30
• How many days does it take for 2 builders to complete a task?

  15 days
• If 1 builder takes 30 days, how long does 5 builders take?

  6 days
• How long does it take 10 builders if 1 builder takes 20 days?

  2 days
• What is the time taken by 3 builders if 1 builder takes 120 days?

  90 days
• How long does it take for 1 builder if 10 builders take 50 days?

  500 days
• What is the time taken by 11 builders if 1 builder takes 22 days?


  2 days
• What is the difference between direct and inverse proportion?

  • Direct proportion: as one quantity increases, the other increases.
  • Inverse proportion: as one quantity increases, the other decreases.
• If a builder can build a house in 40 days, how long will it take 2 builders?

  20 days
• What is the volume formula for a cylinder?

  Volume = π x radius² x height
• How do you find the area of a circle?

  Area = π x radius²
• What is the circumference formula?

  Circumference = 2π x radius
• What is the decimal equivalent of 0.1 as a percentage?

  10%
• How do you convert a decimal to a fraction?

  Divide by 10, 100, or 1000
• What is 0.375 as a fraction?

  3/8
• How do you calculate percentage change?

  Difference x 100 / Original
• What is 55% of 160?

  88
• What is 43% of 900?

  387
• How do you find the original price after a percentage reduction?

  Divide sale price by (1 - reduction rate)
• What is the nth term of the sequence 4, 10, 16, 22, 28?

  6n - 2
• How do you identify an arithmetic sequence?

  Constant difference between consecutive terms
• What is the lowest common multiple of 12 and 4?

  12
• What is the first negative number in the sequence defined by 16 - 3n?

  -3
• How do you find the next term in a geometric sequence?

  Multiply the previous term by a constant
• What is the formula for percentage profit?

  Profit = (Selling Price - Cost Price) / Cost Price x 100
• How do you convert from foreign currency to home currency?

  Divide by the exchange rate
• What is the exchange rate for £1 to USD?

  $1.27 USD
• How do you calculate the sale price after a percentage reduction?

  Sale Price = Original Price x (1 - Reduction Rate)
• What is the difference between an arithmetic and geometric sequence?

  Arithmetic has constant difference; geometric has constant ratio
• What is the formula for the area of a triangle?

  Area = 1/2 x base x height
• How do you find the surface area of a rectangular prism?

  Add the areas of all faces together
• What is the formula for the volume of a rectangular prism?

  Volume = length x width x height
• What is the formula for calculating the circumference of a circle?

  Circumference = 2πr
• How do you determine the next term in a sequence defined by a formula?

  Substitute n into the formula
• What is the formula for converting a decimal to a percentage?

  Decimal x 100
• How do you find the percentage of a number?

  Multiply the number by the percentage
• What is the formula for calculating percentage decrease?

  Decrease = (Original - New) / Original x 100
• How do you calculate the percentage of a total amount?

  Percentage = (Part / Total) x 100
• What is the relationship between percentages and fractions?

  Percentages are fractions out of 100