Revised 2015

Math 6 Benchmark 1 STUDY GUIDE #1

1.Laura had a piece of ribbon 160 inches long. She cut the ribbon into 5 equal pieces. How long was each piece?

2.Calculate: 437÷ 19

3.What is the greatest common factor (GCF) of 24 and 36?

4.The math class is making fruit baskets to donate to a local hospital. The class has collected 32bananas and 56peaches. The teacher wants the same number of bananas in every basket. The teacher also wants the same number of peaches in every basket. What is the GREATEST number of baskets the class can make?

5.What is the least common multiple (LCM) of 10 and 15?

6.Tim and Ann volunteer at a local school. Tim volunteers every 7 days and Ann volunteers every 4 days. If Tim and Ann both volunteer today, in how many days will they volunteer together again?

7.Calculate: 6.38 + 3.869

8.Ms. Brown has $731.67 in her bank account. She deposits $52.19 in her bank account. How much money does she have?

9.Joe’s batting average is 0.28. Last year, it was 0.155. By how much has Joe’s batting average increased?

10. Calculate: 528.6 – 92.182

11.Calculate: 5.8 X 72.2

12. Dave bought 3.45 meters of wood. The wood cost $0.97 per meter. What was the total cost of the wood?

13.Calculate: 2.93÷0.4

14.Mary bought 33 feet of lumber. She needs boards that are1.5 feet long. How many boards can she get?

15.Calculate: ÷

16. Five cookie recipes call for 2cups 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 / 12
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 4 girls for every 7 boys in PE class. What is the ratio of girls to boys?

19.There are 16 yellow tulips, 12 blue tulips, and 24 red tulips. What is the ratio of yellow tulips to red tulips?

20.What is the better buy? Giant bag is $7.04 for 32oz OR Medium bag is $4.60 for 20o

21.The car traveled 245 miles in 7 hours. How many miles did it travel per hour?

22. If there are 4 quarts in 1 gallon, how many quarts are in 3 gallons?

23.The ratio of m&m’s to raisins is 4:5 in the bag of trail mix. There are 20 m&m’s. How many raisins are there?

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

25.

Number of Hours / 5 / 6 / 9 / 12 / 15
Number of Miles / 10 / 12 / 18 / ? / ?

What are the two missing numbers?

26.=

27.Fill in the table that matches the graph?

X
Y

28.

5 / 10 / ? / 20 / 25 / 30
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 125.8 kilometers?

29. How many centiliters equal 32.9 milliliters?

30. How would you write70 out of 100 people as a percent?

31. Find 70% of 20.

32. 20is 40% of what number?