Test your Mathematics

Q1. You roll two dice. The first die shows a ONE and the other die rolls under the table and you cannot see it. Now, what is the probability that both die show ONE?

Q2. Suppose that an asteroid orbits the sun (in an elliptical orbit). And suppose that the longest opposite ends of the orbit are 800 million miles apart and that the shortest opposite ends are 200 million miles apart. Give an equation for the orbit of the asteroid.

Q3. A teacher is making a multiple choice quiz. She wants to give each student the same questions, but have each student's questions appear in a different order. If there are twenty-seven students in the class, what is the least number of questions the quiz must contain?

Q4. In a triangle , Anle B =80º,angle C = 34º and a = 16.Find the length of b to the nearest tenth.

Q5. The sum of the interior angles of a triangle is 180º, of a quadrilateral is 360º and of a pentagon is 540º. Assuming this pattern continues, find the sum of the interior angles of a dodecagon (12 sides).

Q6.let R and S in the figure be defined as follows: R is the region bound in the 1st and 2nd quadrants bounded by the graphs of y=3-x*2 and y=2*x. S is the shaded region in the first quadrant bounded by the two graphs, the x-axis and y-axis b) find the volume of the solid generated when R is rotated about the horizontal line y= -1.

Analysis and solution for Members only.