Higher Tier - Maths Genie
Surname
Centre No.
Initial(s)
Paper Reference
1 3 8 0
Candidate No.
3 H
Signature
Paper Reference(s)
1380/3H
Examiner’s use only
Edexcel GCSE
Team Leader’s use only
Mathematics (Linear) – 1380 Paper 3 (Non-Calculator)
Higher Tier Thursday 5 November 2009 – Morning Time: 1 hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
Items included with question papers Nil
Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. Write your answers in the spaces provided in this question paper. You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets.
Information for Candidates The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 25 questions in this question paper. The total mark for this paper is 100. There are 24 pages in this question paper. Any blank pages are indicated. Calculators must not be used.
Advice to Candidates Show all stages in any calculations. Work steadily through the paper. Do not spend too long on one question. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2009 Edexcel Limited. Printer’s Log. No.
N35520A W850/R1380/57570 6/6/6/3
Turn over
*N35520A0124*
GCSE Mathematics (Linear) 1380 Formulae: Higher Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. Volume of a prism = area of cross section × length
cross section length
Volume of sphere = 34 πr 3
Volume of cone = 13 πr 2h
Surface area of sphere = 4πr 2
Curved surface area of cone = πrl
r
l
h r
In any triangle ABC
The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a ≠ 0, are given by
C b A
Sine Rule
a B
c
x=
−b ± (b 2 − 4ac ) 2a
a b c = = sin A sin B sin C
Cosine Rule a2 = b2 + c 2– 2bc cos A Area of triangle = 12 ab sin C
2
*N35520A0224*
Leave blank
Answer ALL TWENTY FIVE questions. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. 1.
Using the information that 74 × 234 = 17 316 write down the value of (a) 740 × 234 .............................. (1) (b) 74 × 2.34 .............................. (1)
Q1
(Total 2 marks) 2.
Work out an estimate for the value of
31 × 4.92 0.21
......................................
Q2
(Total 3 marks)
*N35520A0324*
3
Turn over
Leave blank
3.
(a) Complete the table of values for y = 2x + 2 x
–2
y
–1
0
0
2
1
2
3 (2)
(b) On the grid, draw the graph of y = 2x + 2 y 9 8 7 6 5 4 3 2 1 –2
O
–1
1
2
3
x
–1 –2 –3 –4 (2) (c) Use your graph to find (i) the value of y when x = –1.5 y = .............................. (ii) the value of x when y = 7 x = .............................. (2) (Total 6 marks) 4
*N35520A0424*
Q3
Leave blank
4.
P
Triangle P has been drawn on a grid. (a) On the grid, draw an enlargement of the triangle P with scale factor 3 (2) y 4 3 Q
2 1 –4
–3
–2
–1 O –1
1
2
3
4
x
–2 –3 –4 Triangle Q has been drawn on a grid. (b) On the grid, rotate triangle Q 90° clockwise, centre O. (3)
Q4
(Total 5 marks)
*N35520A0524*
5
Turn over
Leave blank
5.
Here are the weights in grams, to the nearest gram, of 15 eggs. 33
46
41
54
51
38
60
44
55
51
62
55
52
37
63
(a) Complete the ordered stem and leaf diagram to show this information. You must include a key.
Key
(3) Meg is going to pick at random one of the eggs. (b) Work out the probability that this egg will have a weight of more than 45 grams.
........................................... (2) (Total 5 marks)
6
*N35520A0624*
Q5
Leave blank
6.
30 students took a test. The table shows information about how long it took them to complete the test. Time (t minutes)
Frequency
0
Centre No.
Initial(s)
Paper Reference
1 3 8 0
Candidate No.
3 H
Signature
Paper Reference(s)
1380/3H
Examiner’s use only
Edexcel GCSE
Team Leader’s use only
Mathematics (Linear) – 1380 Paper 3 (Non-Calculator)
Higher Tier Thursday 5 November 2009 – Morning Time: 1 hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
Items included with question papers Nil
Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. Write your answers in the spaces provided in this question paper. You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets.
Information for Candidates The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 25 questions in this question paper. The total mark for this paper is 100. There are 24 pages in this question paper. Any blank pages are indicated. Calculators must not be used.
Advice to Candidates Show all stages in any calculations. Work steadily through the paper. Do not spend too long on one question. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2009 Edexcel Limited. Printer’s Log. No.
N35520A W850/R1380/57570 6/6/6/3
Turn over
*N35520A0124*
GCSE Mathematics (Linear) 1380 Formulae: Higher Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. Volume of a prism = area of cross section × length
cross section length
Volume of sphere = 34 πr 3
Volume of cone = 13 πr 2h
Surface area of sphere = 4πr 2
Curved surface area of cone = πrl
r
l
h r
In any triangle ABC
The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a ≠ 0, are given by
C b A
Sine Rule
a B
c
x=
−b ± (b 2 − 4ac ) 2a
a b c = = sin A sin B sin C
Cosine Rule a2 = b2 + c 2– 2bc cos A Area of triangle = 12 ab sin C
2
*N35520A0224*
Leave blank
Answer ALL TWENTY FIVE questions. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. 1.
Using the information that 74 × 234 = 17 316 write down the value of (a) 740 × 234 .............................. (1) (b) 74 × 2.34 .............................. (1)
Q1
(Total 2 marks) 2.
Work out an estimate for the value of
31 × 4.92 0.21
......................................
Q2
(Total 3 marks)
*N35520A0324*
3
Turn over
Leave blank
3.
(a) Complete the table of values for y = 2x + 2 x
–2
y
–1
0
0
2
1
2
3 (2)
(b) On the grid, draw the graph of y = 2x + 2 y 9 8 7 6 5 4 3 2 1 –2
O
–1
1
2
3
x
–1 –2 –3 –4 (2) (c) Use your graph to find (i) the value of y when x = –1.5 y = .............................. (ii) the value of x when y = 7 x = .............................. (2) (Total 6 marks) 4
*N35520A0424*
Q3
Leave blank
4.
P
Triangle P has been drawn on a grid. (a) On the grid, draw an enlargement of the triangle P with scale factor 3 (2) y 4 3 Q
2 1 –4
–3
–2
–1 O –1
1
2
3
4
x
–2 –3 –4 Triangle Q has been drawn on a grid. (b) On the grid, rotate triangle Q 90° clockwise, centre O. (3)
Q4
(Total 5 marks)
*N35520A0524*
5
Turn over
Leave blank
5.
Here are the weights in grams, to the nearest gram, of 15 eggs. 33
46
41
54
51
38
60
44
55
51
62
55
52
37
63
(a) Complete the ordered stem and leaf diagram to show this information. You must include a key.
Key
(3) Meg is going to pick at random one of the eggs. (b) Work out the probability that this egg will have a weight of more than 45 grams.
........................................... (2) (Total 5 marks)
6
*N35520A0624*
Q5
Leave blank
6.
30 students took a test. The table shows information about how long it took them to complete the test. Time (t minutes)
Frequency
0
