SlideShare a Scribd company logo
1 of 12
Download to read offline
Gold Level
Question Paper 3
Level IGCSE
Subject Maths
ExamBoard Edexcel
DifficultyLevel Gold
Booklet QuestionPaper3
Time Allowed: 60 minutes
Score: /50
Percentage: /100
9 8 7 6 5 4 3
>85% 75% 65% 55% 45% 35% 25%
2 1
15% <15%
Grade Boundaries:
www.igexams.com
1
Diagram NOT
accurately drawn
C
B
A
9 cm
9 cm
35°
D
O
AOD is a diameter of a circle, with centre O and radius 9 cm.
ABC is an arc of the circle.
AC is a chord.
Angle ADC = 35°
Calculate the area of the shaded segment.
Give your answer correct to 3 significant figures.
.............................................................. cm2
(Total for Question is 6 marks)
www.igexams.com
2 Show that
3 27
2
+
can be expressed in the form k where k is an integer.
State the value of k.
k = ..............................................................
(Total for Question is 3 marks)
2
x x
3 Simplify fully +
4 3
−
..............................................................
(Total for Question is 3 marks)
www.igexams.com
4
Diagram NOT
accurately drawn
B
A D
(x + 8) cm
x cm
(x + 5) cm
C
The diagram shows a trapezium ABCD with AD parallel to BC.
AB = x cm, BC = (x + 5) cm and AD = (x + 8) cm.
The area of the trapezium is 42 cm2
.
(a) Show that 2x2
+13x – 84 = 0
(2)
(b) Calculate the perimeter of the trapezium.
.............................................................. cm
(5)
(Total for Question is 7 marks)
www.igexams.com
5 The grouped frequency table gives information about the ages of 200 elephants.
Age (t years) Frequency
t - 10 55
t - 20 
t - 30 
t - 22
t - 50 13
t - 10
(a) Complete the cumulative frequency table.
Age (t years)
Cumulative
frequency
t - 10
t - 20
t - 30
t -
t - 50
t -
(1)
www.igexams.com
(b) On the grid, draw a cumulative frequency graph for your table.
(2)
(c) Use the graph to find an estimate for the number of elephants with ages of more than
HDUV
x
O
50
10 20 50 60
100
Cumulative 150
frequency
30 40
Age (t years)
200
...........................................
(2)
(Total for Question is 5 marks)
www.igexams.com
6 Here are 8 dominoes.
The 8 dominoes are put in a bag.
Riaz takes at random a domino from the bag.
(a) Find the probability that he takes a domino with a total of 8 spots or a domino with
DWRWDORIVSRWV
...........................................
(2)
www.igexams.com
Helima takes at random 2 dominoes from the bag of 8 dominoes without replacement.
(b) Work out the probability that
(i) the total number of spots on the two dominoes is 18
...........................................
(ii) the total number of spots on the two dominoes is 17
...........................................
(5)
(Total for Question is 7 marks)
Do NOT write in this space.
www.igexams.com
7 f(x   x − 6
(a) Find f(10)
...........................................
(1)
(b) State which values of x must be excluded from a domain of f
...........................................
(2)
The diagram shows part of the graph of y J x)
(c) Find g(2)
...........................................
(1)
O
–10
–2 –1 1 2 3 4
10
20
30
x
y
www.igexams.com
(d) Find fg(0)
...........................................
(2)
(e) One of the solutions of g(x  k, where k is a number, is x 
Find the other solutions.
Give your answers correct to 1 decimal place.
...........................................
(3)
(f) Find an estimate for the gradient of the curve at the point where x 
Show your working clearly.
...........................................
(3)
(Total for Question is 12 marks)
www.igexams.com
8
Calculate the value of x.
Give your answer correct to 1 decimal place.
x = ...........................................
(Total for Question is 3 marks)
4 cm
6 cm
8 cm
x°
Diagram NOT
accurately drawn
www.igexams.com
9 A and B are two sets.
n(E  
n(A  
n( )
A B
∩ 
n( )
A B
∪ 
(a) Complete the Venn Diagram to show the numbers of elements.
(2)
(b) Find (i) n( )
A B
∩ ′
...........................................
(ii) n( )
′ ∪ ′
A B
...........................................
(2)
(Total for Question is 4 marks)
..............
..............
..............
..............
E
A B
www.igexams.com

More Related Content

Similar to igcse_edexcel_math-_gold_qp3_-igcse_9-1_.pdf

igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdfigcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
TeenaSheikh
 
Masters in fashion management NIFT gat Sample paper
Masters in fashion management NIFT gat Sample paperMasters in fashion management NIFT gat Sample paper
Masters in fashion management NIFT gat Sample paper
Academy of Fashion & Design
 
Higher nov 2008_p1old
Higher nov 2008_p1oldHigher nov 2008_p1old
Higher nov 2008_p1old
ybamary
 
Tcs 2011with solutions
Tcs 2011with solutionsTcs 2011with solutions
Tcs 2011with solutions
Ashu0711
 
Cumulative Frequency
Cumulative FrequencyCumulative Frequency
Cumulative Frequency
Rafi Allam
 
0580 s17 qp_42 exam - copy
0580 s17 qp_42 exam - copy0580 s17 qp_42 exam - copy
0580 s17 qp_42 exam - copy
mend Oyunchimeg
 
UNION AND INTERSECTION USING VENN DIAGRAM.pptx
UNION AND INTERSECTION USING VENN DIAGRAM.pptxUNION AND INTERSECTION USING VENN DIAGRAM.pptx
UNION AND INTERSECTION USING VENN DIAGRAM.pptx
RizaCatli2
 

Similar to igcse_edexcel_math-_gold_qp3_-igcse_9-1_.pdf (20)

4th prim maths 2013
4th prim maths 20134th prim maths 2013
4th prim maths 2013
 
igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdfigcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
igcse_edexcel_math-_gold_qp1_-igcse_9-1_.pdf
 
Masters in fashion management NIFT gat Sample paper
Masters in fashion management NIFT gat Sample paperMasters in fashion management NIFT gat Sample paper
Masters in fashion management NIFT gat Sample paper
 
0580_s20_qp_42.pdf
0580_s20_qp_42.pdf0580_s20_qp_42.pdf
0580_s20_qp_42.pdf
 
Higher nov 2008_p1old
Higher nov 2008_p1oldHigher nov 2008_p1old
Higher nov 2008_p1old
 
01b 1 ma0_1f_-_march_2013
01b 1 ma0_1f_-_march_201301b 1 ma0_1f_-_march_2013
01b 1 ma0_1f_-_march_2013
 
no maths
no mathsno maths
no maths
 
0580_w19_qp_42 (1).pdf
0580_w19_qp_42 (1).pdf0580_w19_qp_42 (1).pdf
0580_w19_qp_42 (1).pdf
 
Part 5 final countdown - questions
Part 5   final countdown - questions Part 5   final countdown - questions
Part 5 final countdown - questions
 
Tcs 2011with solutions
Tcs 2011with solutionsTcs 2011with solutions
Tcs 2011with solutions
 
Cumulative Frequency
Cumulative FrequencyCumulative Frequency
Cumulative Frequency
 
Review guide end of mod 5
Review guide end of mod 5Review guide end of mod 5
Review guide end of mod 5
 
Riha
RihaRiha
Riha
 
Algebra.foundation
Algebra.foundationAlgebra.foundation
Algebra.foundation
 
0580 s17 qp_42 exam - copy
0580 s17 qp_42 exam - copy0580 s17 qp_42 exam - copy
0580 s17 qp_42 exam - copy
 
Precocity - A Workshop on Culmination of Blocks.pptx
Precocity - A Workshop on Culmination of Blocks.pptxPrecocity - A Workshop on Culmination of Blocks.pptx
Precocity - A Workshop on Culmination of Blocks.pptx
 
Lcm and hcf rbi
Lcm and hcf rbiLcm and hcf rbi
Lcm and hcf rbi
 
UNION AND INTERSECTION USING VENN DIAGRAM.pptx
UNION AND INTERSECTION USING VENN DIAGRAM.pptxUNION AND INTERSECTION USING VENN DIAGRAM.pptx
UNION AND INTERSECTION USING VENN DIAGRAM.pptx
 
GREKing: Vedic Maths Concept
GREKing: Vedic Maths ConceptGREKing: Vedic Maths Concept
GREKing: Vedic Maths Concept
 
Rabotna tetratka 5 odd
Rabotna tetratka 5 oddRabotna tetratka 5 odd
Rabotna tetratka 5 odd
 

Recently uploaded

100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
drjose256
 
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
Amil baba
 
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
Lokesh Kothari
 
FSSAI.ppt Food safety standards act in RAFN
FSSAI.ppt Food safety standards act in RAFNFSSAI.ppt Food safety standards act in RAFN
FSSAI.ppt Food safety standards act in RAFN
Lokesh Kothari
 
Elo Cakes | Premium Cake Shop | Order Now
Elo Cakes | Premium Cake Shop | Order NowElo Cakes | Premium Cake Shop | Order Now
Elo Cakes | Premium Cake Shop | Order Now
Elo Cakes
 
Postharvest technology and manageent.ppt
Postharvest technology  and manageent.pptPostharvest technology  and manageent.ppt
Postharvest technology and manageent.ppt
nazmulhrt
 

Recently uploaded (12)

Chaine des Rotisseurs Gala Dinner Menu May 25 2024 Cambodia
Chaine des Rotisseurs Gala Dinner Menu May 25 2024 CambodiaChaine des Rotisseurs Gala Dinner Menu May 25 2024 Cambodia
Chaine des Rotisseurs Gala Dinner Menu May 25 2024 Cambodia
 
BASIC CALCULATIONS & MEAL PLANNING 1 1.pdf
BASIC CALCULATIONS & MEAL PLANNING 1 1.pdfBASIC CALCULATIONS & MEAL PLANNING 1 1.pdf
BASIC CALCULATIONS & MEAL PLANNING 1 1.pdf
 
Exploring the Benefits of Philippines Cuisine
Exploring the Benefits of Philippines CuisineExploring the Benefits of Philippines Cuisine
Exploring the Benefits of Philippines Cuisine
 
100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
100^%)( FORDSBURG))(*((+27838792658))*))௹ )Abortion Pills for Sale in Benoni,...
 
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
NO1 Top Black Magic Expert Specialist In UK Black Magic Expert Specialist In ...
 
Story of the Origin of Some Foods in Bengal.docx
Story of the Origin of Some Foods in Bengal.docxStory of the Origin of Some Foods in Bengal.docx
Story of the Origin of Some Foods in Bengal.docx
 
NO1 Pakistan Amil Baba In Bahawalpur, Sargodha, Sialkot, Sheikhupura, Rahim Y...
NO1 Pakistan Amil Baba In Bahawalpur, Sargodha, Sialkot, Sheikhupura, Rahim Y...NO1 Pakistan Amil Baba In Bahawalpur, Sargodha, Sialkot, Sheikhupura, Rahim Y...
NO1 Pakistan Amil Baba In Bahawalpur, Sargodha, Sialkot, Sheikhupura, Rahim Y...
 
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
Medical Foods final.ppt (Regulatory Aspects of Food & Nutraceiticals)
 
FSSAI.ppt Food safety standards act in RAFN
FSSAI.ppt Food safety standards act in RAFNFSSAI.ppt Food safety standards act in RAFN
FSSAI.ppt Food safety standards act in RAFN
 
Elo Cakes | Premium Cake Shop | Order Now
Elo Cakes | Premium Cake Shop | Order NowElo Cakes | Premium Cake Shop | Order Now
Elo Cakes | Premium Cake Shop | Order Now
 
Grocery_ POS_ Billing _Software (1).pptx
Grocery_ POS_ Billing _Software (1).pptxGrocery_ POS_ Billing _Software (1).pptx
Grocery_ POS_ Billing _Software (1).pptx
 
Postharvest technology and manageent.ppt
Postharvest technology  and manageent.pptPostharvest technology  and manageent.ppt
Postharvest technology and manageent.ppt
 

igcse_edexcel_math-_gold_qp3_-igcse_9-1_.pdf

  • 1. Gold Level Question Paper 3 Level IGCSE Subject Maths ExamBoard Edexcel DifficultyLevel Gold Booklet QuestionPaper3 Time Allowed: 60 minutes Score: /50 Percentage: /100 9 8 7 6 5 4 3 >85% 75% 65% 55% 45% 35% 25% 2 1 15% <15% Grade Boundaries: www.igexams.com
  • 2. 1 Diagram NOT accurately drawn C B A 9 cm 9 cm 35° D O AOD is a diameter of a circle, with centre O and radius 9 cm. ABC is an arc of the circle. AC is a chord. Angle ADC = 35° Calculate the area of the shaded segment. Give your answer correct to 3 significant figures. .............................................................. cm2 (Total for Question is 6 marks) www.igexams.com
  • 3. 2 Show that 3 27 2 + can be expressed in the form k where k is an integer. State the value of k. k = .............................................................. (Total for Question is 3 marks) 2 x x 3 Simplify fully + 4 3 − .............................................................. (Total for Question is 3 marks) www.igexams.com
  • 4. 4 Diagram NOT accurately drawn B A D (x + 8) cm x cm (x + 5) cm C The diagram shows a trapezium ABCD with AD parallel to BC. AB = x cm, BC = (x + 5) cm and AD = (x + 8) cm. The area of the trapezium is 42 cm2 . (a) Show that 2x2 +13x – 84 = 0 (2) (b) Calculate the perimeter of the trapezium. .............................................................. cm (5) (Total for Question is 7 marks) www.igexams.com
  • 5. 5 The grouped frequency table gives information about the ages of 200 elephants. Age (t years) Frequency t - 10 55 t - 20 t - 30 t - 22 t - 50 13 t - 10 (a) Complete the cumulative frequency table. Age (t years) Cumulative frequency t - 10 t - 20 t - 30 t - t - 50 t - (1) www.igexams.com
  • 6. (b) On the grid, draw a cumulative frequency graph for your table. (2) (c) Use the graph to find an estimate for the number of elephants with ages of more than HDUV x O 50 10 20 50 60 100 Cumulative 150 frequency 30 40 Age (t years) 200 ........................................... (2) (Total for Question is 5 marks) www.igexams.com
  • 7. 6 Here are 8 dominoes. The 8 dominoes are put in a bag. Riaz takes at random a domino from the bag. (a) Find the probability that he takes a domino with a total of 8 spots or a domino with DWRWDORIVSRWV ........................................... (2) www.igexams.com
  • 8. Helima takes at random 2 dominoes from the bag of 8 dominoes without replacement. (b) Work out the probability that (i) the total number of spots on the two dominoes is 18 ........................................... (ii) the total number of spots on the two dominoes is 17 ........................................... (5) (Total for Question is 7 marks) Do NOT write in this space. www.igexams.com
  • 9. 7 f(x x − 6 (a) Find f(10) ........................................... (1) (b) State which values of x must be excluded from a domain of f ........................................... (2) The diagram shows part of the graph of y J x) (c) Find g(2) ........................................... (1) O –10 –2 –1 1 2 3 4 10 20 30 x y www.igexams.com
  • 10. (d) Find fg(0) ........................................... (2) (e) One of the solutions of g(x k, where k is a number, is x Find the other solutions. Give your answers correct to 1 decimal place. ........................................... (3) (f) Find an estimate for the gradient of the curve at the point where x Show your working clearly. ........................................... (3) (Total for Question is 12 marks) www.igexams.com
  • 11. 8 Calculate the value of x. Give your answer correct to 1 decimal place. x = ........................................... (Total for Question is 3 marks) 4 cm 6 cm 8 cm x° Diagram NOT accurately drawn www.igexams.com
  • 12. 9 A and B are two sets. n(E n(A n( ) A B ∩ n( ) A B ∪ (a) Complete the Venn Diagram to show the numbers of elements. (2) (b) Find (i) n( ) A B ∩ ′ ........................................... (ii) n( ) ′ ∪ ′ A B ........................................... (2) (Total for Question is 4 marks) .............. .............. .............. .............. E A B www.igexams.com