maths foundation paper 1

• What are the prime numbers between 30 and 40?

  31 or 37
• What is an example of a multiple of eight given in Part D?

  24
• What are the lines of symmetry for a rhombus?

  • Two lines of symmetry
  • Diagonal lines intersecting at the center
• What is the order of rotation symmetry of a rhombus?

  2
• How do you calculate the range of a set of numbers?

  Largest number minus smallest number
• What is the range of the numbers 6, 9, 2, 3, 9, 1?

  8
• How do you calculate the mean of a set of numbers?

  Add numbers and divide by total count
• What is the mean of the numbers 6, 9, 2, 3, 9, 1?

  5
• What is 564 rounded to the nearest ten?

  560
• What is 438,749 rounded to three significant figures?

  439,000
• How do you write numbers in order of size to three decimal places?

  • Convert all numbers to three decimal places
  • Compare and arrange from smallest to largest
• What is the solution for $x +$$14 =$$30$?


  $44$
• What is the solution for $6y +$$7 =$$28$?


  $3.5$
• What is the simplified form of $3C^2D \times 2D$?


  $6C^2D^2$
• What is the highest common factor of $35x +$$7x^2$?


  $7x$
• What is the area of a rectangle measuring 6 cm by 3 cm?

  18 cm²
• What is the area of a semicircle with radius 3 cm?

  $\frac{9\pi}{2} \approx 14.1 \text{ cm}^2$
• How does the conversion graph show direct proportionality?

  It has a straight line through the origin
• How do you show trainers cost less in the USA?

  Convert prices to dollars and compare
• What is the maximum extra charge Alex should pay for trainers from the USA?

  24.99 dollars
• What is the probability of landing on number five compared to three on the spinner?

  Four times more likely
• How do you complete the probability table for the spinner?

  Set up equations based on given probabilities
• What is the next term in the sequence starting with 1, 8, 15, 22?

  29
• Why is 32 not a term in the sequence defined by $4n +$$2$?


  It results in a non-integer value
• What is the equation of the quadratic graph?

  $y =$$x^2$
• What is the equation of the straight line with a negative gradient?

  $y =$$-x$
• What is the equation of the line parallel to the x-axis?

  $y =$$-2$
• What is the equation of the straight line with a positive gradient?

  $y =$$mx +$$c$
• How do you find the amount left after spending on rent and other items?

  Subtract total expenses from total income
• What is the fraction of wages left after expenses?

  $\frac{11}{30}$
• How do you find the value of $x$ in similar triangles?


  Use the scale factor to find corresponding sides
• What is the value of $x$ when the scale factor is 1.6 and the corresponding side is 15?


  24
• How do you find the probability of scoring a prime number with two dice?

  List all possible outcomes and count primes
• What are the numbers on the four-sided dice?

  1, 2, 3, 4
• How do you calculate the probability of a specific outcome?

  Count favorable outcomes over total outcomes
• What is the total number of outcomes when rolling two four-sided dice?

  16
• What is the probability of scoring a prime number with two four-sided dice?

  Calculate based on prime outcomes
• What is the scale factor of the two similar triangles?

  1. 6
• How do you find the value of $x$ in the similar triangles?


  Multiply 15 by 1.6
• What is the value of $x$?


  24