Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 5
104 practice questions
Topics covered
Practice questions
31–40 of 48 · Normal
Question 31
2 marks · Normal
Answer and see the solution →A square has been enlarged by scale factor about the origin to produce a new square. The sides of the new square are 12 units long, and the original square's sides are 4 units long. Find the value of .
Question 32
2 marks · Normal
Answer and see the solution →Fill in the missing vector (column vector form) for each transformation based on the given movement:
Vector movements Point A Point B Movement (as a vector) (2, 5) (7, 3) (–1, 0) (2, –3) Question 33
3 marks · Normal
Answer and see the solution →The table below shows the results of spinning a spinner 25 times.
Spinner outcomes from 25 spins Outcome Frequency A 7 B 5 C 9 D 4 a) Complete the table by adding a column for Relative Frequency for each outcome. Write your answers as decimals to 2 decimal places.
(a)[3 marks]Complete the table with relative frequencies.
Question 34
2 marks · Normal
Answer and see the solution →A bag contains 120 marbles. 50 are red, 38 are blue and the rest are green. A marble is chosen at random. Calculate the probability that it is green. Give your answer as a fraction and as a decimal to 2 decimal places.
Question 35
3 marks · Normal
Answer and see the solution →Sunny records whether it rains on each of 12 days in July. Her results are:
Rain on 12 days in July Day 1 2 3 4 5 6 7 8 9 10 11 12 Rain? ✓ ✗ ✓ ✗ ✓ ✗ ✗ ✓ ✓ ✗ ✓ ✓ (a)[2 marks]Estimate the experimental probability that it rains on a randomly chosen day.
(b)[1 mark]Estimate how many days in a 30-day month you would expect to have rain.
Question 36
2 marks · Normal
Answer and see the solution →Write down all the possible outcomes when a coin is tossed and a 4-sided spinner (numbered 1, 2, 3, 4) is spun. How many possible outcomes are there in total?
Question 37
4 marks · Normal
Answer and see the solution →A regular 6-sided die is rolled. Find the probability that the number shown is:
(a)[2 marks](i) a prime number
(ii) a number greater than 3
(b)[2 marks]Work out the probability that the number is a prime number or greater than 3.
Question 38
2 marks · Normal
Answer and see the solution →A two-way table shows the numbers of Year 11 students who study French and Spanish.
Language study in Year 11 French No French Total Spanish 12 5 17 No Spanish 18 7 25 Total 30 12 42 A student from this group is chosen at random. Find:
(a)[1 mark]The probability that the student studies both French and Spanish.
(b)[1 mark]Given that a student studies French, what is the probability that they also study Spanish?
Question 39
4 marks · Normal
Answer and see the solution →A bag contains 5 red balls and 3 blue balls. Two balls are taken out one after the other, without replacement.
(a)[2 marks]Draw a tree diagram to represent all possible outcomes.
(b)[2 marks]Calculate the probability that both balls are the same colour.
Question 40
3 marks · Normal
Answer and see the solution →A coin is tossed 10 times. The results are as follows:
Coin toss results Toss number 1 2 3 4 5 6 7 8 9 10 Result H H T H T T H H T T a) Plot a relative frequency diagram for getting a head after each toss (on the vertical axis, plot the relative frequency of heads after each toss).
b) What value does the experimental probability appear to be approaching?
(a)[2 marks]Draw a relative frequency diagram (graph) for heads after each toss.
(b)[1 mark]What value does the probability appear to be approaching?