Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
31–40 of 47 · Normal
Question 31
3 marks · Normal
Answer and see the solution →Given , calculate the column vector for and write your answer.
Question 32
3 marks · Normal
Answer and see the solution →In triangle PQR, , . Find the vector in column vector form and explain your reasoning.
Question 33
2 marks · Normal
Answer and see the solution →A box contains 7 blue pens and 5 red pens. A pen is selected at random. It is replaced, and then another pen is selected at random. Find the probability of selecting a blue pen both times.
Question 34
3 marks · Normal
Answer and see the solution →A spinner has three equal sectors labelled A, B, and C. The spinner is spun twice. Draw a tree diagram and calculate the probability that:
(a)[1 mark]Both spins result in the letter B.
(b)[2 marks]At least one spin shows the letter C.
Question 35
3 marks · Normal
Answer and see the solution →Two fair coins are tossed. Explain, using probability, whether getting one head and one tail is more likely than getting two heads.
Question 36
4 marks · Normal
Answer and see the solution →A bag contains 3 yellow marbles and 2 green marbles. One marble is picked at random, replaced, and then another is picked. Answer the following:
(a)[1 mark]Write down the probability of picking a yellow marble both times.
(b)[1 mark]Write down the probability of picking a green marble first and a yellow marble second.
(c)[2 marks]Find the probability that the two marbles are of different colours.
Question 37
4 marks · Normal
Answer and see the solution →A machine produces three types of screws: Small (S), Medium (M), and Large (L). The probability that a screw is small is 0.2, medium is 0.5, and large is 0.3.
Complete the tree diagram table below showing the probabilities for producing two screws, one after the other, with replacement.
Probabilities for two screws First screw Second screw Probability S S S M S L M S M M M L L S L M L L Question 38
2 marks · Normal
Answer and see the solution →A fair die is thrown twice. What is the probability of getting at least one six in the two throws?
Question 39
3 marks · Normal
Answer and see the solution →Two cards are selected randomly, with replacement, from a deck of 52 playing cards. What is the probability that both cards are aces?
Question 40
3 marks · Normal
Answer and see the solution →Emma spins a spinner twice, each time with probability 1/4 of landing on red and 3/4 of landing on blue. She draws a tree diagram to represent this. Explain, with reasoning, why the total probability for all possible outcomes is 1.