Pulse and Marks
–3–
M12/5/MATSD/SP1/ENG/TZ1/XX
Maximum marks will be given for correct answers. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. Write your answers in the answer IGCSE Revision 3 boxes provided. Solutions found from a graphic display calculator should be supported by suitable working,
1.
1. The following six integers are arranged from smallest to largest 1 , x , 3 , y , 14 , z The mode is 1 , the median is 5 and the mean is 7. Find (a) (b) (c) x; y; z.
–4–
[1 mark] [2 marks] [3 marks] M12/5/MATSD/SP1/ENG/TZ1/XX
2.
2.Working: The coordinates of point A are (−4 , p ) and the coordinates of point B are (2 , − 3) . The mid-point of the line segment AB, has coordinates (q , 1) . (a) Find the value of (i) (ii) (b) q; p. [4 marks] [2 marks]
Calculate the distance AB.
3.
–5–
M12/5/MATSD/SP1/ENG/TZ1/XX
Working: is a star that is 82 414 080 000 000 km away from Earth. A spacecraft, 3. Ross launched from Earth, travels at 48 000 kmh–1 towards Ross. Answers: (a) Calculate the exact time, in hours, for the spacecraft to reach the star Ross. [2 marks] (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . (b) Give your answer to part (a) in years. (Assume 1 year(b) 365. days). . . . . . . . . . . . . . .[2.marks] = .. .... . ...
(c)
(c) . . . . . . . . . . . . . . . . . . . . . . . . . . . Give your answer to part (b) in the form a ×10k , where 1 ≤ a < 10 and k ∈ » . [2 marks]
4. Working:
Turn over
0320
Hansraj Sir
Answers:
IGCSE Revision 3 – 12 – 9.
M12/5/MATSD/SP1/ENG/TZ1/XX
Line L is given by the equation 3 y + 2 x = 9 and point P has coordinates (6 , –5). (a) (b) (c) Explain why point P is not on the line L . Find the gradient of line L . (i) (ii) Write down the gradient of a line perpendicular to line L . Find the equation of the line perpendicular to L and passing through point P . [3 marks] [1 mark]
M12/5/MATSD/SP1/ENG/TZ1/XX
Maximum marks will be given for correct answers. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. Write your answers in the answer IGCSE Revision 3 boxes provided. Solutions found from a graphic display calculator should be supported by suitable working,
1.
1. The following six integers are arranged from smallest to largest 1 , x , 3 , y , 14 , z The mode is 1 , the median is 5 and the mean is 7. Find (a) (b) (c) x; y; z.
–4–
[1 mark] [2 marks] [3 marks] M12/5/MATSD/SP1/ENG/TZ1/XX
2.
2.Working: The coordinates of point A are (−4 , p ) and the coordinates of point B are (2 , − 3) . The mid-point of the line segment AB, has coordinates (q , 1) . (a) Find the value of (i) (ii) (b) q; p. [4 marks] [2 marks]
Calculate the distance AB.
3.
–5–
M12/5/MATSD/SP1/ENG/TZ1/XX
Working: is a star that is 82 414 080 000 000 km away from Earth. A spacecraft, 3. Ross launched from Earth, travels at 48 000 kmh–1 towards Ross. Answers: (a) Calculate the exact time, in hours, for the spacecraft to reach the star Ross. [2 marks] (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . (b) Give your answer to part (a) in years. (Assume 1 year(b) 365. days). . . . . . . . . . . . . . .[2.marks] = .. .... . ...
(c)
(c) . . . . . . . . . . . . . . . . . . . . . . . . . . . Give your answer to part (b) in the form a ×10k , where 1 ≤ a < 10 and k ∈ » . [2 marks]
4. Working:
Turn over
0320
Hansraj Sir
Answers:
IGCSE Revision 3 – 12 – 9.
M12/5/MATSD/SP1/ENG/TZ1/XX
Line L is given by the equation 3 y + 2 x = 9 and point P has coordinates (6 , –5). (a) (b) (c) Explain why point P is not on the line L . Find the gradient of line L . (i) (ii) Write down the gradient of a line perpendicular to line L . Find the equation of the line perpendicular to L and passing through point P . [3 marks] [1 mark]