mel justmalhs.co.uk
Worked Solutions
Clhere
Shadow Set 1 maybe other
methods too
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
3 4
K k
12
......................................................
(1)
(b) Simplify y6 × y9
b 19
y is
......................................................
y (1)
(c) Expand 5m2 (m2 + 2m)
5m2 m2
5m 5
m2 Im 10ms
5m41 10hr3
......................................................
(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.
7690 of 550 0 76 550
418
3 1254 Sandwiches
418 x
1254 2 2508 slices of bread
I 2500 slices
2500
...................................................... slices
(4)
Jenny’s assumption is wrong.
68% of the people will eat sandwiches.
(b) How does this affect your answer to part (a)?
would be less so
My
......................................................................................................................................................
answer
fewer
slices of bread would be needed
......................................................................................................................................................
......................................................................................................................................................
(1)
(Total for Question 2 is 5 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 3
© Pearson Education Ltd.
Worked Solutions
Clhere
Shadow Set 1 maybe other
methods too
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
3 4
K k
12
......................................................
(1)
(b) Simplify y6 × y9
b 19
y is
......................................................
y (1)
(c) Expand 5m2 (m2 + 2m)
5m2 m2
5m 5
m2 Im 10ms
5m41 10hr3
......................................................
(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.
7690 of 550 0 76 550
418
3 1254 Sandwiches
418 x
1254 2 2508 slices of bread
I 2500 slices
2500
...................................................... slices
(4)
Jenny’s assumption is wrong.
68% of the people will eat sandwiches.
(b) How does this affect your answer to part (a)?
would be less so
My
......................................................................................................................................................
answer
fewer
slices of bread would be needed
......................................................................................................................................................
......................................................................................................................................................
(1)
(Total for Question 2 is 5 marks)
___________________________________________________________________________
Summer 2023 Shadow Paper 3H – Set 1 Version 1.0 3
© Pearson Education Ltd.
