Homework #4
Complete the ratio:
1) 5/6 = ?/12
2) ? : 4 = 12 : 6
3) 3/4 = ?/60
4) 7/8 = 8/?
5) 5/6 = 43/?
6) 5 : 9 = ? : 81
7) 12 : 14 : 20 = ? : 42 : ?
Write each sentence as a ratio:
8) 2 eggs for each cup of milk.
9) 2 teachers for every 9 students.
10) 30 miles per hour.
11) 1 head for every tail.
12) 3 parts concentrate to 8 parts water to 2 parts sugar.
Word Problems:
13) The ratio of men to women at a meeting is 4 to 7. If there are 16 men at the meeting, how many women at the meeting?
14) Pam's car gets 24 miles per gallon of gas. If she drove 144 miles, how many gallons of gas did she use?
15) A cookie recipe calls for 5 tablespoons of butter and makes 6 cookies. If we have 20 tablespoons of butter, how many cookies can we make. How much butter would it take to make 30 cookies?
16) On a blueprint of the Smith house, each 1/4 inch on the drawing is equivalent to 1 foot. If the drawing shows that the doorways are 7/8 of an inch wide, how wide are they in reality?
17) "Ed's Used Cars" sells 2 convertibles for every 46 sedans. If Ed sold 384 cars all together (convertables and sedans), how many convertibles did he sell?
18) If at a certain office there are 6 clerks for every 2 executives, and there are 200 people total (clerks and executives), how many executives are there?
Averages:
19) Find the average of 3, 5, 4, 2, 1, and 1.
20) Find the average of 45, 23, 54, 103, and 44.
21) Find the average of 65, 66, and 65, and 65.
Word Problems:
22) Dan bought 4 boxes of crackers at the market, and their prices were $4.11, $3. 46, $ 1.99, and $ 2.88. What was the average price per box?
23) The chart below shows the price per gallon of gas in the summer. What is the average price of gas in the summer?
June - $2.45
July - $3.54
August - $ 3.70
24) Paula drove 50 miles per hour for 3 hours and the 40 miles per hour for 2 hours. What was her average speed for the entire trip?
25) Bill calculated that his average test score from the 8 tests of the school year was 84. Then he realized he had accidentally divided by 7 instead of 8. What is his real average test score?
Monday, December 14, 2009
Tuesday, December 8, 2009
Homework #3
Percent Problems:
1) What is 50% of 6?
2) What is 40% of 9?
3) 5 is what percent of 10?
4) 6 is what percent 25?
5) 4 is 25% of what?
6) 3 is 23% of what?
7) What is 45% of 5/8?
8) What is 39% of 5 5/7?
9) 4/5 is what percent of 13/5?
10) 76/4 is what percent of 4/3?
11) 5/6 is 43% of what?
12) 7/34 is 235% of what?
13) What is 4% of 4.5?
14) What is 45.5% of 7.34?
15) 5.3 is what percent of 4.5?
16) 56.664 is what percent of 34.443?
17) 4.3 is 43.33% of what?
18) 5.55 is 109.6% of what?
19) Change 32% into a decimal.
20) Change 4% into a decinal.
21) Change 99.99% into a decimal.
22) Change 145.3% into a decimal.
22) Change 0.32 into a percent.
23) Change 0.03 into a percent.
24) Change 2.23 into a percent
25) Change 1/4 into a percent.
26) Change 4/56 into a percent,.
27) Change 45% into a fraction.
28) Change 3.3% into a fraction.
Word problems:
19) A pair of shoes are marked at $100. If there is a 25% off sale, how much are the shoes?
20) A family at a restaurant get a bill for $55.50, and they decide to leave a 20% tip. How much do they leave altogether?
21) The population of gorillas is 75% of what is was last year. If there are now 200 gorillas, how many were there last year?
22) Joe was making $12.35 per hour, and then got a 3% raise. Now how much does he make per hour?
23) If Edna spent 6 hours per night sleeping, what percent of each 24 hour day is she asleep? What percent of each week?
24) Paul spends 15% of his monthly income on the lottery. If he spends $200 per month on the lottery, what is his monthly income?
25) Computo Inc. laid of 23% of its 2000 employees last week. How many of its employees kept their jobs?
Percent Problems:
1) What is 50% of 6?
2) What is 40% of 9?
3) 5 is what percent of 10?
4) 6 is what percent 25?
5) 4 is 25% of what?
6) 3 is 23% of what?
7) What is 45% of 5/8?
8) What is 39% of 5 5/7?
9) 4/5 is what percent of 13/5?
10) 76/4 is what percent of 4/3?
11) 5/6 is 43% of what?
12) 7/34 is 235% of what?
13) What is 4% of 4.5?
14) What is 45.5% of 7.34?
15) 5.3 is what percent of 4.5?
16) 56.664 is what percent of 34.443?
17) 4.3 is 43.33% of what?
18) 5.55 is 109.6% of what?
19) Change 32% into a decimal.
20) Change 4% into a decinal.
21) Change 99.99% into a decimal.
22) Change 145.3% into a decimal.
22) Change 0.32 into a percent.
23) Change 0.03 into a percent.
24) Change 2.23 into a percent
25) Change 1/4 into a percent.
26) Change 4/56 into a percent,.
27) Change 45% into a fraction.
28) Change 3.3% into a fraction.
Word problems:
19) A pair of shoes are marked at $100. If there is a 25% off sale, how much are the shoes?
20) A family at a restaurant get a bill for $55.50, and they decide to leave a 20% tip. How much do they leave altogether?
21) The population of gorillas is 75% of what is was last year. If there are now 200 gorillas, how many were there last year?
22) Joe was making $12.35 per hour, and then got a 3% raise. Now how much does he make per hour?
23) If Edna spent 6 hours per night sleeping, what percent of each 24 hour day is she asleep? What percent of each week?
24) Paul spends 15% of his monthly income on the lottery. If he spends $200 per month on the lottery, what is his monthly income?
25) Computo Inc. laid of 23% of its 2000 employees last week. How many of its employees kept their jobs?
Wednesday, December 2, 2009
Homework #2
Change the fraction to a decimal:
1) 3/4
2) 5/6
3) 5 3/8
4) 2 2/3
5) 56/7
Change the decimal to a fraction and reduce to lowest terms:
6) 0.6
7) 3.45
8) 0.0012
9) 0.777
10) 44.44
11) 1.5
12) 6.200
Put each list of decimals in order from smallest to largest:
13) 0.001, 0.0101, 0.010
14) 3.13, 3.1301, 3.12999999
Round each decimal to the nearest whole number:
15) 3.001
16) 5.5
17) 0.00332
18) 4.9876123
19) 3.511111
Round to the nearest tenth:
20) 3.0510000000
21) 5.005
22) 6.999
23) 1.09999
24) 5.05
Where should the decimal point be placed in each sum?
25) 3.5 + 3.7 = 72
26) 1.4 + 0.8 + 22
27) 4.835 + 1.217 = 6052
28) 7.42 + 125.931 = 133351
Add the following decimals:
30) 1.789 + 0.219
31) 1.48 + 0.9
32) 3.59 +2
33) 10.7 + 8.935
34) 6.1 + 0.29080 +4
35) 14.004 + 0.9 + 0.21
36) 1.03 + 2.5 + 40.016
37) 5.2 + 0.7999 + 0.0001
Subtract the following decimals:
40) 6.4 - 1.3
41) 1.89 - 0.37
42) 12.35 - 8.05
43) 2.35 - 0.9
44) 5 - 3.81
45) 1 - 0.98765
46) 2.4 - 2.3999
Word Problems
47) At the market, Joe bought 2.3 pounds of tomatoes, 5.4 pounds of garlic, 9.12 pounds of tomatoes, and 4.2 pounds of blueberries. How many pounds of produce did he buy in all?
48) Mary improved her time running a mile on the track from 6.3 minutes to 5.56 minutes. By how much did she improve her time?
49) Biff loaned Joe $32.23 at the market to pay for the produce. Joe paid Biff back $25.00 the next day. How much money did Biff make in the deal?
Add these fractions and decimals. Give your answer in fractions and decimals:
50) 1/2 + 0.5
51) 1/4 + 0.25
52) 5/8 + 0.5
53) 4.9 +3/10
54) 0.3 + 7/10
55) 3.15 + 3 5/6
Multiply each decimal:
56) 0.01 × 0.6
57) 3.1 × 4
58) 0.1 × 0.2
59) 15 × 0.21
58) 0.875 × 8
59) 2.5 × 0.0034
60) 100 × 0.01765
61) 38.71 × 1,000
Divide each fraction:
62) 1.4 ÷ 7
63) 51.2 ÷ 4
64) 2.2 ÷ 0.7
65) 256 ÷ 0.0004
Change the fraction to a decimal:
1) 3/4
2) 5/6
3) 5 3/8
4) 2 2/3
5) 56/7
Change the decimal to a fraction and reduce to lowest terms:
6) 0.6
7) 3.45
8) 0.0012
9) 0.777
10) 44.44
11) 1.5
12) 6.200
Put each list of decimals in order from smallest to largest:
13) 0.001, 0.0101, 0.010
14) 3.13, 3.1301, 3.12999999
Round each decimal to the nearest whole number:
15) 3.001
16) 5.5
17) 0.00332
18) 4.9876123
19) 3.511111
Round to the nearest tenth:
20) 3.0510000000
21) 5.005
22) 6.999
23) 1.09999
24) 5.05
Where should the decimal point be placed in each sum?
25) 3.5 + 3.7 = 72
26) 1.4 + 0.8 + 22
27) 4.835 + 1.217 = 6052
28) 7.42 + 125.931 = 133351
Add the following decimals:
30) 1.789 + 0.219
31) 1.48 + 0.9
32) 3.59 +2
33) 10.7 + 8.935
34) 6.1 + 0.29080 +4
35) 14.004 + 0.9 + 0.21
36) 1.03 + 2.5 + 40.016
37) 5.2 + 0.7999 + 0.0001
Subtract the following decimals:
40) 6.4 - 1.3
41) 1.89 - 0.37
42) 12.35 - 8.05
43) 2.35 - 0.9
44) 5 - 3.81
45) 1 - 0.98765
46) 2.4 - 2.3999
Word Problems
47) At the market, Joe bought 2.3 pounds of tomatoes, 5.4 pounds of garlic, 9.12 pounds of tomatoes, and 4.2 pounds of blueberries. How many pounds of produce did he buy in all?
48) Mary improved her time running a mile on the track from 6.3 minutes to 5.56 minutes. By how much did she improve her time?
49) Biff loaned Joe $32.23 at the market to pay for the produce. Joe paid Biff back $25.00 the next day. How much money did Biff make in the deal?
Add these fractions and decimals. Give your answer in fractions and decimals:
50) 1/2 + 0.5
51) 1/4 + 0.25
52) 5/8 + 0.5
53) 4.9 +3/10
54) 0.3 + 7/10
55) 3.15 + 3 5/6
Multiply each decimal:
56) 0.01 × 0.6
57) 3.1 × 4
58) 0.1 × 0.2
59) 15 × 0.21
58) 0.875 × 8
59) 2.5 × 0.0034
60) 100 × 0.01765
61) 38.71 × 1,000
Divide each fraction:
62) 1.4 ÷ 7
63) 51.2 ÷ 4
64) 2.2 ÷ 0.7
65) 256 ÷ 0.0004
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