Maths foundation

• What is the definition of rounding?

  Approximate numbers to a given place value
• What are the types of rounding?

  Nearest 10, 100, 1000
• How do you round 3.678 to 2 decimal places?

  3.68
• How do you round 0.004562 to 2 significant figures?

  0.0046
• What is a common mistake in rounding?

  Rounding incorrectly due to misunderstanding place values
• What is the definition of estimating calculations?

  Using rounded numbers to approximate an answer
• What is a common mistake in estimating calculations?

  Rounding too early in multi-step problems
• What is the definition of upper and lower bounds?

  The range within which a rounded measurement lies
• If a measurement is rounded to 1 decimal place, what are the bounds?

  Bounds are determined by the rounding
• What is the definition of error intervals?

  Expressing bounds using inequalities
• If a number is rounded to the nearest 10, what is the error interval?

  It is expressed using inequalities
• What is the definition of standard form?

  Writing numbers as $a \times 10^n$
• How do you express a number in standard form?

  Use $a \times 10^n$ format
• What is a common mistake in standard form?

  Incorrect exponent values
• What is the equation of a straight line?

  $y =$$mx +$$c$
• What do $m$ and $c$ represent in the straight line equation?


  $m$ is gradient, $c$ is y-intercept
• How do you plot a straight line graph?

  Use the equation $y =$$mx +$$c$
• What is the definition of plotting quadratic graphs?

  Graphing equations in the form $y =$$ax^2 +$$bx +$$c$
• How do you plot a quadratic graph?

  Use the equation $y =$$ax^2 +$$bx +$$c$
• What is the definition of expanding double brackets?

  Expanding expressions like $(x + a)(x + b)$
• How do you expand $(x + 2)(x + 3)$?


  $x^2 +$$5x +$$6$
• What is the definition of factorising quadratics?

  Expressing quadratics as a product of brackets
• How do you solve $x^2 - 5x +$$6 =$$0$ by factorising?


  $(x - 2)(x - 3) =$$0$
• What is the definition of forming and solving equations?

  Writing algebraic equations to solve problems
• How do you express "Twice a number plus 3 is 11" as an equation?

  $2x +$$3 =$$11$
• What is the definition of solving inequalities?

  Finding values satisfying an inequality
• How do you express $x > 5$ in words?


  x is greater than 5
• What is the formula for the probability of a single event?

  Probability = favorable outcomes / total outcomes
• What is the probability of rolling a 6 on a die?

  1/6
• What is the definition of sample space diagrams?

  Listing all possible outcomes of an event
• What is the sample space for a coin and a die?


  {H1, H2, ..., T1, T2, ...}
• What is the definition of two-way tables?

  Organising categorical data into rows and columns
• What does a two-way table show?

  Students preferring tea vs coffee, male vs female
• What are the key symbols in Venn diagrams?

  $A' =$$Complement, A ∩ B =$$Intersection, A ∪ B =$$Union$
• What is the definition of frequency trees?

  Diagram showing event frequencies at each stage
• What does a frequency tree illustrate?

  Event frequencies at each stage
• What is the formula for relative frequency?

  Relative frequency = favorable outcomes / total trials
• If a coin lands on heads 7 times in 10 flips, what is the relative frequency?

  7/10
• What are the key concepts of transformations?

  Translation, Reflection, Rotation, Enlargement
• What is translation in transformations?

  Moving without rotating