Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
71–80 of 108
Question 71
2 marks · Hard
Answer and see the solution →Calculate the value of .
Question 72
4 marks · Hard
Answer and see the solution →In triangle DEF, side DE = 11.3 cm, side EF = 8.7 cm, and angle DEF = 38°. Calculate the length of side DF. Give your answer correct to 3 significant figures.
Question 73
4 marks · Hard
Answer and see the solution →Explain why the formula can be used to calculate the area of any triangle, not just right-angled triangles.
Question 74
2 marks · Easy
Answer and see the solution →A coin is tossed twice. Calculate the probability that both tosses show heads. Give your answer as a decimal.
Question 75
2 marks · Easy
Answer and see the solution →A bag contains 1 red, 2 blue and 3 green counters. You take one at random, replace it, and then take a second counter at random. Explain why a tree diagram can be used to represent all possible outcomes for this problem.
Question 76
3 marks · Easy
Answer and see the solution →(a)[1 mark]A bag contains 2 white balls and 4 black balls. One ball is picked at random (without replacement), then a second ball is picked. Write down the probability that the first ball picked is white.
(b)[2 marks]Calculate the probability that both balls picked are black.
Question 77
3 marks · Easy
Answer and see the solution →A card is drawn at random from a pack of 52 playing cards. The card is then replaced and another card is drawn. Calculate the probability that both cards are aces.
Question 78
1 mark · Easy
Answer and see the solution →A tree diagram has 2 branches at the first stage and each of these has 3 branches at the second stage. How many possible outcomes are shown at the end of the diagram?
Question 79
2 marks · Easy
Answer and see the solution →The probability that a train arrives late on any day is 0.1. Find the probability that the train is late on two days in a row. Give your answer as a decimal.
Question 80
1 mark · Easy
Answer and check →The probability that it rains on a day is 0.3. Given that it rained yesterday, the probability that it will rain today is 0.4. What is the probability that it rains today, given that it rained yesterday?