All Answers Should Be Given in Simplified Form, Reduced Terms for Fractions, Rationalize
Sample question. (20)
Simplify the expression:
JV1.1. (30) The height of my tv screen is 3/4 its width. If the diagonal is 30 inches, what is the width in inches?
JV1.2. (20) 8 teams play in a tournament in which teams are eliminated only after losing two games. What is the largest number of games that could be played?
JV1.3. (30) My stock increased in value 20% the first year and 30% the second. What is the total percentage increase?
JV1.4 (20) Calculate:
JV1.5. (30) My final grade is the average of 3 midterms plus the final, with the final being given twice the weight of each of the other 3 exams. I scored 88, 86, and 92 on the three midterms. What do I need to score on the final so my average is 90?
JV1.6 (30) If I flip a fair coin three times, what is the probability of getting at least one head?
JV1.7 (30)The product of three consecutive odd integers is 315. What is the smallest of the three integers?
JV1.8 (30) What is the greatest common divisor of 108 and 360?
JV1.9. (20) Calculate
JV1.10 (30) What is x if :
2-(x-(3-x)) = 1
JV1.11. (20) Calculate:
1 + 3 + 5 + 7 + ... + 19
JV1.12 (30) The volume of a pyramid with a square base and a height of 5 inches is 15 cubic inches. What is the length in inches of the side of the base?
JV2.1 (30) How many hours is it from 3 am Sunday to 7 p.m Friday?
JV2.2 (30) One faucet can fill a tub in 20 minutes, another in 30 minutes. How long will it take to fill if both faucets are used?
JV2.3 (40) Find the values of x which give a positive integer solution to:
5x + 8y = 76
JV2.4 (30) The first term of a sequence is 1. Thereafter, each term is the sum of all preceding terms. What is the 8-th term?
JV2.5 (30) What will this computer program print?
x = 2
while x < 100
x = x+3
end while
print x
JV2.6 (40) Solve for y:
JV2.7 (30) Express the infinite decimal .363636... as a reduced fraction.
JV2.8 (40) Perform the base eight addition:
JV2.9 (20) By what factor is the volume of a cylinder increased if its height is doubled and its diameter is tripled?
JV2.10 (30) The squares of two consecutive positive odd integers differ by 48. What is their sum?
JV2.11 (30) An equilateral triangle of side is inscribed in a circle. What is the circle's radius?
JV2.12 (20) If I roll two dice, what is the probability the product of the numbers is even?
JV3.1 (30) If you correctly fill out a 9 by 9 Sudoku puzzle, what is the sum of all the numbers?
JV3.2 (30) A swimming pool is 20 feet wide, 30 feet long, and 8 feet deep. How many hours will it take to fill it with a hose with capacity 1/2 cubic foot per minute?
JV3.3 (30) Solve for x:
V3.4 (20) If I roll three dice what is the probability the sum of the three numbers is even?
JV3.5 (30) Give the average of the set of odd numbers which are between 4 and 22.
JV3.6 (30) Two positive numbers differ by 4; their squares differ by 36. What is their sum?
JV3.7 (30) Give the value of x for a positive integer solution of
4x + 7y = 30
JV3.8 (20) A line is perpendi-cular to and crosses it on the y-axis. Give its equation in the form
y = mx + b
JV3.9 (30) Express as an infinite repeating decimal.
JV3.10 (30) Do the base five multiplication:
JV3.11 (30) A cone has diameter equal to its height. Its volume is . What is its height?
JV3.12 (20) What is the interior angle, in degrees, of a regular dodecagon?
JV4.1 (30) Four lines can divide the plane into how many regions at most?
JV4.2. (30) Four consecutive even integers add up to 284. What is the smallest of the four?
JV4.3 (20) We break a decagon into triangles by joining vertices. How many triangles do we get?
JV4.4 (30) How many different ways are there to arrange the letters {a, b, c, d} so that b is immediately to the right of a?
JV4.5 (30) If the two digits of a number are reversed the number is increased by 18. What is the largest number it could be?
JV4.6 (30) A swimming pool is circular in shape. I swim from one side 10 feet and touch the wall. I turn 90 degrees and swim 24 feet again touching the wall. What is the diameter of the pool?
JV4.7 (20) What is the total surface area of a hemisphere of radius 2?
JV4.8 (45) How many ways can I make a total of 50 cents if I have only quarters, dimes and nickels?
JV4.9 (45) A cone has radius 3 inches and height 4 inches. What is the area of the slanted part?
JV4.10 (45) What is the largest integer n such that is an integer?
JV4.11 (30) What is the proba-bility I draw two socks of the same color if I draw randomly from a drawer with 4 grey socks and 3 black socks?
JV4.12 (30) Perform the base four division: