IB Math Exam

IB Math 14 A B & MP

IB Math 14 A B & MP

1) A. 3.49 CM, 8.73 CM² B. 9.07 CM, 36.3 CM²

2) A. 6.98 CM, 14.0 CM² B. 14.7 CM, 51.3 CM²

3) A. 33.5 CM, 134 CM² B. 25.3 CM, 63.3 CM²

4) A. 20.3 CM², 28.4 CM B. 4.32 CM², B. 15.5 CM

5) A. 43.3 CM², 34.2 CM B. 15.4 CM², 19.1 CM

6) A. 176 CM², 57.1 CM B. 8.81 CM², 13.3 CM

7) Per=20.9 cm, area=19.5 cm²

8) Per=27.5 cm, area=47.0 cm²

9) 10.1 cm

10) A. 80.2 degrees B. 17.5 cm²

11) 40.1°

12) 15.5 cm

13) A. 11.6 cm B. 38.2 cm

14) Area= 57.1 cm², Per= 30.3 cm

15) 6.85 cm

16) 1.32 cm, Area = 3.98 cm²

17) 0.219 cm

18) Per = 16.6 cm, Area = 3.98 cm²

19) X = 3

20) R = 23.4, (0-) = 123

21) Per = 33.5 cm, Area = 78.6 cm

14 B

1) A. X + 2y = 2 B. X - 3y = 39

2) A. 3X - 4Y = -60 B. 5X + 2Y = 60

3) A. 5X - 4Y = 6 B. 4X + 3Y = -13

4) A. 12 X + 3Y = 11 B. 12 X minus 4Y = -41

5) A. Y = minus 2X +22 B. Y = - 3X +40

6) A. Y = 3/2X +5/4 B. Y = -2/5X +2

7) A. Y = 2/3X + 1/12 B. Y = - 1/2X + 53/10

8) A. Y = minus X -26/3 B. Y = 2X -16/3

9) A. i A,B,C,D ii F, G, H iii [FG], [GH] iv No finite cells

B. i A,B,C,D,E,F ii G,H,I,J,K,L iii [GH], [HI], [IJ], [JG], [JL], [LK], [KI] iv GHIJ, IJLK

10)

A. i A ii F

B. i B ii C

11) A. i B and C ii x=4 B. i A and B ii y=3-x C. i D and C ii 6y+4x=25

Problem 12 a.

Problem 12 b.

Problem 13 a. and b.

Problem 14 a. and b.

15) Y = 2X -2.5

16) A. X = 5.5 B. 22°C C. 1025 mbar D. 31 mm

17) A. i F,G ii A,B,G,I B. B,C,D,H,I

18) C; highest mean, contamination at sites in that region

Problem 19)

19) A. i D ii C iii D B. Contains all stores served by distribution center A

20)

24) A. (25,5) B. 25.5 km C. E.g. The towns have no size – they are just a point

25) A. (31,29) to be at the vertex furthest from all towns on a Voronoi diagram

B. Moves further away from B