maths

• In this video I'm going to go through the solutions to my 2024 practice paper this one's for AQA paper 1 foundation
• Before going through this video though I'd highly recommend you download the paper and give it a try for yourself you can get a free copy of this at my website FirstClass math.com I've also put a link in this video's description to write this paper
• I've done some detail analysis on how often each topic has come up in past papers for this one I've specifically looked at the topics that appear most frequently in paper one so those topics of the highest percentages will make up the majority of this paper
• This doesn't mean that these topics are guaranteed to appear though the best way to prepare for your exams is to revise all of the topics
• Question 1


  1. Divide 50 by 2

  2. Answer is 25
• Question 2


  1. Divide 40 by 5

  2. Answer is 8
• Question 3


  1. Divide 6 by 100

  2. Answer is 0.06
• Question 4


  1. Divide 18 and 12 by 6

  2. Answer is 3 to 2
• Question 5


  1. Collect like terms

  2. Answer is 2x + 10y
• Question 6


  1. Borrow from hundreds to tens, then tens to units

  2. Answer is 279
• Question 7


  1. Use bus stop method to divide 2214 by 3

  2. Answer is 738
• Calculations and their answers

  • -4 * -2 = 8
  • -4 / -2 = 2
  • -4 + -2 = -6
  • -4 - -2 = -2
• Factor


  A number that divides into another number without a remainder
• Prime number


  A number with exactly two factors, 1 and itself
• Units


  • Inches
  • Centilitres
  • Kilograms
• Numbers in order of size

  • 1^6 = 1
  • 5^2 = 25
  • 3^3 = 27
  • 2^5 = 32
• Probability


  The likelihood of an event occurring
• It's highlighted must have the value -3 so we have something IDE 5 is -3 to work out that value we could do -3 * by 5 which is -5 so the number that goes into this box is -15 you can check that this works -15 / 5 is -3 and if you add five to that you end up at pos2
• In this question we need to draw a triangle that's an isoceles triangle and also has an area of 20 cm squ


  1. To find the area of a triangle you take the base and the perpendicular height multiply them together and then divide this by two

  2. We need the base and the height to multiply to give 40

  3. One way is a base of 8 cm and a height of 5 cm

  4. Another way is a base of 10 and a height of 4 cm
• In this question we need to shade 1/ of rectangle A and 1 quarter of rectangle B


  1. Shade one of the 5 horizontal strips in rectangle A

  2. Shade one of the 4 vertical strips in rectangle B
• The height of rectangle C is 5 squares and the width is 10 squares, so there are 50 squares in total
• There are 11 squares shaded in rectangle C
• In this question we need to complete a pictogram and a bar chart

  1. For Monday, the bar chart shows 30 books sold, so each square in the pictogram represents 5 books

  2. For Tuesday, the bar chart shows 45 books sold, so we need 45 books represented in the pictogram

  3. For Wednesday, the bar chart shows 25 books sold, so we need 25 books represented in the pictogram
• To solve the equation 4y = 60

  1. Subtract 12 from both sides to get 4y = 48

  2. Divide both sides by 4 to get y = 12
• To expand and simplify 7(h + 4) - 10h

  7h + 28 - 10h = -3h + 28
• Ryan's answer of 5(3x + 6) is not fully factorized because it does not factor out the largest common factor of 15
• To draw a graph for x values between -2 and 3 using the equation y = 3x - 1


  Create a table of x and y values

  Plot the points on a coordinate plane

  Connect the points with a straight line
• Leah spends a total of 3 hours revising for English and maths exams, in the ratio 2:7


  Convert 3 hours to 180 minutes

  The ratio 2:7 has a total of 9 parts

  Multiply the ratio by 20 to get 40 minutes for English and 140 minutes for maths

  Convert 140 minutes to 2 hours and 20 minutes
• Triangle A is reflected in the line y = 5 to give Triangle B, then Triangle B is transformed to give Triangle C


  Reflect the points of Triangle A in the line y = 5 to get Triangle B

  Triangle B has been rotated 180 degrees about the point (6,6) to give Triangle C
• To find the median of the given fractions

  Put the fractions in order: 1/4, 1/3, 1/2, 2/3, 3/4

  The median is the middle value, which is 1/2
• Finding the center of rotation

  1. Place tracing paper on shape

  2. Put pen on a point

  3. Turn the shape until it lands on another shape

  4. The correct center is the point it lands perfectly on
• The center of rotation is given as a coordinate
• Median


  The middle number when numbers are arranged in order
• Finding the median of fractions

  1. Put the fractions in order

  2. Cross off the biggest and smallest

  3. Add the remaining two fractions and divide by 2
• To add fractions with different denominators, find the lowest common denominator
• Range


  The difference between the biggest and smallest numbers
• Finding the range of fractions

  1. Identify the biggest and smallest fractions

  2. Subtract the smallest from the biggest
• Compound shape


  A shape made up of multiple shapes
• Finding the perimeter of a compound shape

  1. Split the shape into rectangles

  2. Find the area of each rectangle

  3. Find the missing side lengths

  4. Add up all the side lengths
• Sequence


  A set of numbers that follow a pattern