MAT-105-2785-Basic Mathematics-10/2016

Part 1

Solve

24. 38.

44. A child’s baseball shirt requires 5 yd of fabric. How many shirts can be made from 25 yd of fabric?

50. A piece of coaxial cable 4 meter (m) long is to be cut 5 into 8 pieces of the same length. What is the length of each piece?

Part 2

Solve

24. 26.

71. In the sum below, a and b are digits. Find a and b.

72. Consider only the numbers 3, 4, 5, and 6. Assume each can be placed in a blank in the following.

What placement of the numbers in the blanks yields the largest sum?

Part 3

10. How high is a flagpole that casts a 42-ft shadow at the same time that a 51-ft woman casts a 7-ft shadow?

12. How high is a tree that casts a 32-ft shadow at the same time that an 8-ft light pole casts a 9-ft shadow?

14. Find the length L of the lake. Assume that the ratio of L to 120 yd is the same as the ratio of 720 yd to 30 yd.

16. To measure the height of a hill, a string is stretched from level ground to the top of the hill. A 3-ft stick is placed under the

string, touching it at point P, a distance of 5 ft from point G, where the string touches the ground. The string is then detached

and found to be 120 ft long. How high is the hill?

Part 4

28. During a sale, a dress decreased in price from $90 to $72. What was the percent decrease?

30. A 300-lb weight set retails for $199.95. For its grand opening, a sporting goods store reduced the price to $154.95. What is

the percent decrease?

36. Total spending on prescription drugs in the United States was $329.2 billion in 2011. This amount dropped to $325.8 billion

in 2012. What was the percent decrease?

40. In baseball, the strike zone is

normally a 17-in. by 30-in. rectangle.

Some batters give the pitcher an

advantage by swinging at pitches

thrown out of the strike zone. By

what percent is the area of the strike

zone increased if a 2-in. border is added to the outside?

26. A real estate commission rate is 6%. What is the commission from the sale of a $98,000 home?

30. Malik’s commission is increased according to how much he sells. He receives a commission of 5% for the first $2000 of

sales and 8% for the amount over $2000. What is his total commission on sales of $6200?

41. Find the discount and the rate of discount for the pinball machine in this ad.

42. Find the discount and the rate of discount for the amaryllis in this ad.