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WorkedSolutions
other methods to those
shown here may also
attract marks
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You must show all your working.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• Calculators may be used.
• If your calculator does not have a π button, take the value of π to be
3.142 unless the question instructs otherwise.
Information
• The total mark for this paper is 80
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• Check your answers if you have time at the end.
, Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 (a) Write 83 200 000 in standard form.
8 32 107
......................................................
(1)
(b) Write 9.012 × 10–5 as an ordinary number.
O 00009012
......................................................
(1)
(Total for Question 20 is 2 marks)
___________________________________________________________________________
November 2023 2 Version 1.0
Shadow Paper 3H
© Pearson Education Ltd.
, 2 Here is a biased spinner.
The table shows the probabilities that when the spinner is spun it will land on A, on B,
on C and on D.
Letter A B C D
Probability 0.3 0.08 0.46 0.16
Marie will spin the spinner 300 times.
Work out an estimate for the number of times the spinner will land on D.
300 x O 16
48
48
......................................................
(Total for Question 2 is 2 marks)
___________________________________________________________________________
November 2023 3 Version 1.0
Shadow Paper 3H
© Pearson Education Ltd.
WorkedSolutions
other methods to those
shown here may also
attract marks
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You must show all your working.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• Calculators may be used.
• If your calculator does not have a π button, take the value of π to be
3.142 unless the question instructs otherwise.
Information
• The total mark for this paper is 80
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• Check your answers if you have time at the end.
, Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 (a) Write 83 200 000 in standard form.
8 32 107
......................................................
(1)
(b) Write 9.012 × 10–5 as an ordinary number.
O 00009012
......................................................
(1)
(Total for Question 20 is 2 marks)
___________________________________________________________________________
November 2023 2 Version 1.0
Shadow Paper 3H
© Pearson Education Ltd.
, 2 Here is a biased spinner.
The table shows the probabilities that when the spinner is spun it will land on A, on B,
on C and on D.
Letter A B C D
Probability 0.3 0.08 0.46 0.16
Marie will spin the spinner 300 times.
Work out an estimate for the number of times the spinner will land on D.
300 x O 16
48
48
......................................................
(Total for Question 2 is 2 marks)
___________________________________________________________________________
November 2023 3 Version 1.0
Shadow Paper 3H
© Pearson Education Ltd.
