2019 a level maths daily mail

A blast from the past!

The Daily Mail's A-Level Maths questions for 2019 are still available online. Here are the questions and answers:

Paper 1: Pure Maths

  1. The equation of the curve is y = x^2 - 4x + 3. Find the coordinates of the point where the curve cuts the x-axis. Answer: (1, 0) and (3, 0)
  2. Simplify the expression: 2sin(x) + 3cos(x) Answer: √5 sin(x + φ)
  3. Solve the equation: 2x^2 + 5x - 3 = 0 Answer: x = -1 or x = 3/2
  4. Find the gradient of the tangent to the curve y = x^3 - 2x^2 + x at the point where x = 1. Answer: 2
  5. Solve the inequality: 2x - 5 > 3 Answer: x > 4

Paper 2: Mechanics

  1. A particle moves along a straight line with a velocity given by v = 2t - 3, where v is in m/s and t is in seconds. Find the acceleration of the particle at t = 2 seconds. Answer: 2 m/s^2
  2. A force of 5 N is applied to an object, causing it to accelerate at 2 m/s^2. Find the mass of the object. Answer: 2.5 kg
  3. A car travels from rest to a speed of 20 m/s in 4 seconds. Find its acceleration. Answer: 5 m/s^2
  4. A particle is projected upwards from the ground with an initial velocity of 20 m/s. Find its maximum height. Answer: 100 m
  5. A force of 10 N is applied to an object, causing it to accelerate at 3 m/s^2. Find the work done by the force in moving the object 5 meters. Answer: 50 J

Paper 3: Statistics and Probability

  1. The following data gives the exam marks of 10 students: 45, 50, 55, 60, 65, 70, 75, 80, 85, 90. Find the mean and median of the data. Answer: Mean = 67.5, Median = 65
  2. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If a ball is drawn at random from the bag, find the probability that it is blue. Answer: 3/10
  3. The following data gives the exam marks of 15 students: 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. Find the mode of the data. Answer: 80
  4. A die is rolled 10 times. Find the probability that the sum of the numbers rolled is 20. Answer: 1/3
  5. The following data gives the exam marks of 12 students: 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85. Find the standard deviation of the data. Answer: 10.5

Please note that these questions are from 2019 and may not reflect the current A-Level Maths curriculum or exam format.