Shadow Set 1
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.
• Keep an eye on the time.
• 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) Simplify (k3)4
......................................................
(1)
(b) Simplify y6 × y9
......................................................
(1)
(c) Expand 5m2 (m2 + 2m)
......................................................
(2)
(Total for Question 1 is 4 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 2
© Pearson Education Ltd.
, 2 Jenny wants to know how many sandwiches she will need for 550 people at a meeting.
Each person who eats sandwiches will eat 3 sandwiches.
2 slices of bread are needed for each sandwich.
Jenny assumes 76% of the people will eat sandwiches.
(a) Using this assumption, work out the number of slices of bread Jenny needs.
Give your answer correct to the nearest hundred slices.
...................................................... slices
(4)
Jenny’s assumption is wrong.
68% of the people will eat sandwiches.
(b) How does this affect your answer to part (a)?
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(1)
(Total for Question 2 is 5 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 3
© Pearson Education Ltd.
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.
• Keep an eye on the time.
• 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) Simplify (k3)4
......................................................
(1)
(b) Simplify y6 × y9
......................................................
(1)
(c) Expand 5m2 (m2 + 2m)
......................................................
(2)
(Total for Question 1 is 4 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 2
© Pearson Education Ltd.
, 2 Jenny wants to know how many sandwiches she will need for 550 people at a meeting.
Each person who eats sandwiches will eat 3 sandwiches.
2 slices of bread are needed for each sandwich.
Jenny assumes 76% of the people will eat sandwiches.
(a) Using this assumption, work out the number of slices of bread Jenny needs.
Give your answer correct to the nearest hundred slices.
...................................................... slices
(4)
Jenny’s assumption is wrong.
68% of the people will eat sandwiches.
(b) How does this affect your answer to part (a)?
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(1)
(Total for Question 2 is 5 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 3
© Pearson Education Ltd.
