Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
31–40 of 49 · Normal
Question 31
4 marks · Normal
Answer and see the solution →The table below gives values for triangle STU.
Triangle STU data Side Length (cm) ST 5.2 TU 6.8 SU 7.1 The angle opposite ST is and the angle opposite TU is .
Use the sine rule to calculate the value of to 3 significant figures.
Question 32
2 marks · Normal
Answer and see the solution →Calculate the area of a triangle with sides 7.2 cm and 5.1 cm, and included angle . Give your answer to 2 decimal places.
Question 33
3 marks · Normal
Answer and see the solution →Find all values of between and such that . Give your answers in degrees.
Question 34
3 marks · Normal
Answer and see the solution →Explain how to determine whether the sine rule or the cosine rule should be used to solve a triangle. Give an example for each.
Question 35
2 marks · Normal
Answer and see the solution →A bag contains 4 red marbles and 6 blue marbles. A marble is taken at random, replaced, and then another marble is taken at random.
Work out the probability that both marbles are blue.
Question 36
3 marks · Normal
Answer and see the solution →A bag contains 3 green counters and 2 yellow counters. Two counters are taken from the bag one after the other, without replacement.
Draw a tree diagram to show all the possible outcomes. Use your diagram to calculate the probability that both counters are green.
Question 37
3 marks · Normal
Answer and see the solution →A box contains some balls. The probability that a randomly chosen ball is black is 0.2, and the probability that it is white is 0.5. The probability that it is red is unknown.
Given that the ball chosen is not black, explain how you would calculate the probability that it is white.
Question 38
4 marks · Normal
Answer and see the solution →You roll a fair six-sided die twice.
(a)[1 mark]Write down the probability of getting a 2 on the first roll and a 4 on the second roll.
(b)[2 marks]Find the probability of getting an even number on both rolls.
(c)[1 mark]Calculate the probability of getting at least one 6 in the two rolls.
Question 39
2 marks · Normal
Answer and check →A coin is biased so that the probability of getting a tail is 0.55.
Given that the coin has landed on a tail, what is the probability it will land on a tail again in the next flip? (The two flips are independent.)
Question 40
3 marks · Normal
Answer and see the solution →A box contains 5 pens: 3 blue and 2 black. Two pens are taken at random, one after the other, without replacement.
Work out the probability that both pens are black.