Revised 2015

Math 6 Benchmark 1 STUDY GUIDE #2

1.Joey had a piece of string 216 inches long. He cut the string into 4 equal pieces. How long was each piece?

2.Calculate: 528÷ 22

3.What is the greatest common factor (GCF) of 56 and 32?

4.The math class is making candy baskets to donate to a local hospital. The class has collected 15candy bars and 27 lollipops. The teacher wants the same number of candy bars and lollipops in every basket. What is the GREATEST number of baskets the class can make?

5.What is the least common multiple (LCM) of 15 and 45?

6.Carli and Bobby volunteer at a local school. Carli volunteers every 4 days and Bobby volunteers every 6 days. If Carli and Bobby both volunteer today, in how many days will they volunteer together again?

7.Calculate: 12.32 + 2.091

8.Mr. Davis has \$137.45 in her bank account. He deposits \$78.25 in his bank account. How much money does he have?

9.Andrew’s batting average is 0.450. Last year, it was 0.257. By how much has Andrews’s batting average increased?

10. Calculate: 425.67 – 12.875

11.Calculate: 7.2 X 92.2

12. Malik bought 1.75yards of wood. The wood cost \$2.55 per yard. What was the total cost of the wood?

13.Calculate: 10.4÷0.2

14.Elizabeth bought 15 feet of lumber. She needs boards that2.5 are feet long. How many boards can she get?

15.Calculate: ÷

16. Three cookie recipes call for 1cups of flour. How much flour is needed for one recipe?

17. Part A: Complete the table showing how to convert feet to inches.

Feet / Inches
1 / 10
2 / ?
3 / ?
4 / ?

Part B: Explain what method you used to find the missing values in the table. Use mathematical vocabulary. Possible choices: equivalent ratios, convert, double number line, tape diagram, proportion, etc.

18.There are 8 girls for every 9 boys in PE class. What is the ratio of girls to boys?

19.There are 12 yellow tulips, 7 blue tulips, and 18 red tulips. What is the ratio of yellow tulips to red tulips?

20.What is the better buy? 11 soccer balls for \$65.45 for OR 5 soccer balls for \$32.50.

21.The racecar traveled 520 miles in 5 hours. How many miles did it travel per hour?

22. If there are 4 quarts in 1 gallon, how many quarts are in 6 gallons?

23.The ratio of cars to trucks is 5:7 in the parking lot. There are 28 cars. How many trucks are there?

24.Write three ratios that are equivalent to the ratio of .

25.

Number of Hours / 4 / 8 / 10 / 12 / 15
Number of Miles / 12 / 24 / 30 / ? / ?

What are the two missing numbers?

26.=

27.Fill in the table that matches the graph?

X
Y

28.

10 / 20 / ? / 40 / 50 / 60
2 / 4 / 6 / 8 / 10 / 12

Part A: What is the missing number from the table above? Show your work.

Part B: Explain what method you used to find the missing number.

Part C: If the table continued what would the next two columns look like? Show your work or explain your answer.

28. How many meters equal 15.28 kilometers?

29. How many milliliters equal 45.92liters?

30. The Florida Gators won 1 out of 10 games. How would you write this as a percent?

31. Find 10% of 20.

32. 40 is 80% of what number?