Maths paper 1

• Write 0.3 as a fraction
• Write 0.3 as a fraction

  1. Ones column

  2. Tenths column

  3. 3 tenths

  4. 3/10
• 3 squared is 9
• Work out 3 squared

  3 * 3 = 9
• Bid mass or bod mass question


  1. Brackets first

  2. 20 divided by 3 + 2

  3. 3 + 2 = 5

  4. 20 divided by 5 = 4
• Write down a factor of 60 that is between 8 and 14

  1. Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

  2. Factors between 8 and 14: 10, 12
• Simplify 3 * W * 5 * 10

  1. 3 * 5 = 15

  2. 15 * W * T
• Costs for trip to theme park

  • £23 for petrol
  • £33 for adult ticket
  • £24.50 for each child ticket (2 children)
  • £15 for adult meals
  • £10 for each child meal (2 children)
• Bay has £200


  £200 - £140 = £60 left
• Mode


  The most common letter
• Probability of letter B = 2/8
• Probability of letter C = 1/8
• Solve M - 3 = 4

  M = 7
• Solve 3N + N = 24


  1. 4N = 24

  2. N = 6
• Angles around a point add up to 360°
• Find value of y

  360° - 70° = 290°
• Reason: Angles around a point add up to 360°
• Find greatest number of coffee jars Michael can buy

  £23 / £4 per jar = 5 jars
• Michael cannot buy 6 jars as it exceeds £23
• Jars are half price on Wednesday


  Michael can now buy 11 jars for £22
• Michael cannot buy exactly twice the number of jars
• Scale factor


  How much bigger one shape is compared to another
• Find scale factor of enlargement

  Triangle B is 2 times the size of Triangle A
• Center of enlargement is where all points on Triangle B are twice as far from as the corresponding points on Triangle A
• Mirror line


  The diagonal line where parallelogram D is a reflection of parallelogram C
• Equation of mirror line is y = x
• Calculate time spent by Ella at sports center

  1. 50 mins badminton

  2. 20 mins swimming

  3. 24 mins gym

  4. 26 mins cafe
• Ella did not get to cafe by 3pm
• Number of men in village in 2000 was 60
• Number of children in village in 2010 was 50
• Ratio of children to total men and women in 2020 is 80:200
• Find length of DC in quadrilateral ABCD

  1. Perimeter = 6x + 5 = 52

  2. x = 19/2

  3. DC = 2x = 19
• There are only blue, green and red counters
• Solving an equation


  1. Add 5 to both sides

  2. Simplify to get X by itself

  3. Divide both sides by 6

  4. Simplify the fraction
• X is 19/2 or 9.5
• 2x is 19 cm
• Types of counters in the bag

  • Blue
  • Green
  • Red
  • Yellow
• Probability


  The likelihood of an event occurring
• There are 70 non-blue counters in the bag
• The ratio of blue to green counters is 2:3