23. [Area]* 28. [Probability] Find the area of the shaded triangle below, given that M, Nand P are midpoints of the sides of MBC. A drawer contains three ties, identical except in color. One is green (G), one black (B) and one navy (N). Two ties are selected at random from the drawer. Find the probability that one of the chosen ties is black. [Complete the tree diagram belov. to help solve the problem.] First tie I Second tie B 24. m2 24 m AiI I t G<::N ~L --- C -- - n- 29. nmm ~-- - --"-- P B 30 m ... B<::~ N<::~ Start 90 A . .. [Volume]* A brick 12 cm by 8 cm by 25 cm is dropped into 2 3 a deep rectangulartank which is half full of water. If the base of the tank is 15 cm wide and 40 cm long, by how much will 4 em the water level in the tank rise? [Geometry] Find the value of x. [All measurements are in em.] 30. [Surface Area] * Using S.A. = 4xr2 and x z 3.14, find the surface area of the sphere below. 1.2 25. 78.5 mm 2 [Angles] * Find the value of the smallest angle in the triangle below. ~ [Trianglenot drawnto scale.] 31. [Pythagorean Theorem I Trigonometry] * Find the value of x, given cos e xo- 50 = 0.69 7xo x 26. [Measurement I Time] Change 0.25 acres into square yards. 32. [Problem Solving 1] 1210 yd2 27. * Find positive integers a, b, c and d if: a + a =b, b + b = c, c + c = d and [Perimeter] * Find the perimeter of the parallelogram below. a + b + C+ d a 33. [Problem Solving = 360 = 24 2] b = 48 c = 96 d =192 * The sum of x consecutive numbers is 12x + 4. Find the maximum possible value of x. Whrte 4.4@ page 58 Copynght. Not to be reproduced without permission. J. B. Wright - Echuca 2004 w