1. Semester Study Guide

2. The length of a rectangular parking lot at the airport is 2 3 mile
The length of a rectangular parking lot at the airport is mile. If the area is square mile, what is the width of the parking lot?
¾ mile

3. Gabriela made 5 quarts of punch. Each serving is 2 3 of a cup
Gabriela made 5 quarts of punch. Each serving is of a cup. There are 4 cups in a quart. How many servings of punch did Gabriela make?
30 servings

4. Determine the quotient. 1 8 ÷ 1 5 = What is the quotient?
5/8

5. Which of the following is equivalent to expression below?
2 1 2 ÷ 1 4 = 10

6. The school secretary can type an average of 12 names per minute on a class list. At this rate, what is the total number of minutes it will take the secretary to type a list of 696 names?
58 minutes

7. Determine the quotient. 203.28÷8.4= What is the quotient?
24.2

8. Gwen studies for 1. 5 hours every night
Gwen studies for 1.5 hours every night. What is the total number of hours Gwen studies for 5 nights?
7.5 hours

9. Randy has $7. 50 to use on buying notebooks for school
Randy has $7.50 to use on buying notebooks for school. If each notebook costs $1.09 including tax, how many can Randy buy? 6

10. Last year, Jenna’s town recycled 9. 85 tons of paper
Last year, Jenna’s town recycled 9.85 tons of paper. This year, her town recycled 18.5 tons of paper. How much more paper did the town recycle this year than last year?
8.65 tons

11. Sergio paid for the items listed below with a $20 bill.
one jar of peanut butter that cost $2.39
One loaf of bread that cost $2.75
What was the total amount of money Sergio got back after he paid for the items?
$14.86

12. The students in Mrs. Fitzgerald’s class are working in groups. Mrs
The students in Mrs. Fitzgerald’s class are working in groups. Mrs. Fitzgerald evenly divides 24 craft sticks and 30 rubber bands among the groups. What is the greatest number of groups Mrs. Fitzgerald could have in her class? 6

13. Glen and Megan work at the same store. Glen works every 7 days.
Megan works every 6 days
Glen and Megan worked together today. How many days from now will it be until they work together again?
42 days

14. Alice and Carl each have the same total number of marbles.
Alice put her marbles into groups of 4 with none leftover.
Carl put his marbles into groups of 10 with none left over.
What is the least total number of marbles that Alice and Carl can each have? 20

15. Mrs. Sandoval has 60 folders, 45 pair of scissors, and 30 rulers
Mrs. Sandoval has 60 folders, 45 pair of scissors, and 30 rulers. What is the greatest common factor Mrs. Sandoval can use to divide the school supplies into equal groups? 15

16. Points Q and R on the number line below represent a real number.
Which of the following is located between points Q and R on the number line.
3.98
3.94
3.88
3.84
3.88

17. Point P is shown on the number line below.
What fraction best represents point P?
3/8
3/4
1/4
1/2
3/8

18. Which point best represents the temperature at 1 P.M.
At 6 A.M., the temperature was 12° Celsius. By 1P.M., the temperature had dropped 20° Celsius.
Which point best represents the temperature at
1 P.M. X

19. Four Points are graphed on a line.
Which point is located at the opposite of -2?
Point M

20. Adalina ran 5 1 5 miles after school
Adalina ran miles after school. One point graphed on the number line represents the distance.
Which point on the number line best represents the distance Adalina ran? K

21. Timoteo graphed the values of four points labeled A, B, C, and D on the number line below.
These four points represent the value 77%, , 2.3, on the number line. Identify the value of A, B, C, D.
77%, 10/8, 2 1/5, 2.3

22. Create a number line with values from 2. 50 to 3. 00
Create a number line with values from 2.50 to Represent Point R as 2.85

23. Which ordered pair appears to be located 350 units to the right and 700 units up from Point W?
(875, 1050)

24. What is the ordered pair the represents point Z?
There are 3 vertices of rectangle WRSZ plotted on the coordinate grid below. The fourth vertex of the rectangle will be represented by point Z.
What is the ordered pair the represents point Z?
(1 ½. 8)

25. What value is equivalent to |- 1 4 |?

26. Four points are graphed on the coordinate plane below.
Which point is located at (0,2)
Point G

27. What mixed number has a value between 10 3 and 11 3 ?
3 ½

28. Four points are graphed on the coordinate grid below.
Name the coordinate pairs represents by all four points on this grid.
(-6, 2) (-4, 0) (-6,2) (-8,4)

29. List the temperatures in order from least to greatest.
The table below shows the low temperature in a town each day for four days.
List the temperatures in order from least to greatest.
-8, -3, 1, 5

30. Density of Substances at 25° C
Sanjay recorded the density of various substances at 25° Celsius, as shown in the table below.
He then wrote the densities in order, from least to greatest. What would the correct order be from least to greatest?
Density of Substances at 25° C
Substance
Density (grams/cm³)
aluminum
2.70
gold
19.3
water
0.997
copper
8.92
0.997, 2.70, 8.92, 19.3

31. What is the opposite |k| on a number line?
* hint: What is absolute value?
The distance from 0

32. Alexia uses 5 cups of water for every 3 cups of rice she cooks
Alexia uses 5 cups of water for every 3 cups of rice she cooks. What is the ratio of rice to water?
3/5

33. What ordered pair represents the location of point T?
Look at the grid.
What ordered pair represents the location of point T?
(4 ½, ½ )

34. On a day in February, the temperature in Santa Fe at 6:00 a. m
On a day in February, the temperature in Santa Fe at 6:00 a.m. was -12°F. By 3:00 p.m., the temperature was 37° F. What was the change in temperature in degrees Fahrenheit, from 6:00 a.m. to 3:00 p.m.?
An increase of 49°F

35. Which list shows the numbers in ascending order? |-3.25|, 3.5, 3.75
3.25, -3.5, |3.75|
-3.5, |-3.75|, 3.25
|-3.5|, -3.25, 3.75
|-3.25|, 3.5, 3.75

36. Each of the following phrases describes a numerical value.
The absolute value of 9.
The opposite of 9
Which statement is true about the relationship between the numerical values?
The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.
The opposite of 9 is equal to the absolute value of 9.
The absolute value of 9 is farther from 0 on a number line than the opposite of 9.
The absolute value of 9 is less than the opposite of 9.
The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.

37. The coordinates of point A are (-6, 4)
The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B?
● |4| - |-6|
● |3| - |-6|
● |-6| + |-4|
● |-6| + |3|
|-6| + |3|

38. A Grade 6 class has 15 boys and 12 girls
A Grade 6 class has 15 boys and 12 girls. What is the ratio of boys to girls in the class?
5:4

39. A crew of highway workers paved 2 15 mile in 20 minutes
A crew of highway workers paved mile in 20 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
2/5 of a mile

40. A recipe uses 12 cups of mashed raspberries to make raspberry jam.
How many quarts of mashed raspberries are needed to make the raspberry jam?
(2 cups = 1 pint) (2 pints = 1 quart)
3 quarts

41. Ms. Jimenez baked chocolate chip cookies for a bake sale
Ms. Jimenez baked chocolate chip cookies for a bake sale. The graph shows the relationship between the number of cookie batches baked and the number of cups of chocolate chips used.
What does the slope of the line represent?
●The number of cups of chocolate chips used per cookie batch
●The total number of cups of chocolate chips Ms. Jimenez
●The number of cookie batches per cup of chocolate chips used
●The total number of cookie batched Ms. Jimenez baked
The number of cups of chocolate chips used per cookie batch

42. There is a total of 140 calories in 20 of Mei’s favorite crackers
There is a total of 140 calories in 20 of Mei’s favorite crackers. What is the total number of calories in 300 of Mei’s favorite crackers?
2100 calories

43. Dwayne answered 80% of the questions on a quiz correctly
Dwayne answered 80% of the questions on a quiz correctly. If answered 40 questions correctly, what was the total number of questions on Dwayne’s quiz?
50 questions

44. In Laverne’s class, 4 5 of the students ride the bus to school.
What percent of the students in her class ride the bus to school?
80%

45. How many Canadian dollars did Tyra receive for her 25 U.S. dollars?
Tyra’s family went on a trip to Canada. Tyra had $25 in United States currency to exchange for Canadian dollars. For every one U.S. dollar, Tyra received 1.17 Canadian dollars.
How many Canadian dollars did Tyra receive for her 25 U.S. dollars?
$29.25

46. What is the number of games to be played with 10 players?
Blake organized a checkers tournament. Every player will play each of the other players once. Blake made the table shown below to calculate the number of games to be played based on the number of players.
45 games
What is the number of games to be played with 10 players?

47. Total Quarts of Iced Tea
The table below shows the number of tea bags needed to make different amounts of iced tea.
What is the total number of quarts of iced tea that can be made with 24 tea bags?
Number of Tea Bags
Total Quarts of Iced Tea 8 2 16 4 24 ? 36 9 6

48. Horseshoe Falls has an average water flow of 600,000 gallons per second. What is the average water flow of Horseshoe Falls in gallons per minute?
36,000,000 gallons per minute

49. Bananas are on sale at the price of 3 pounds for $1. 00
Bananas are on sale at the price of 3 pounds for $ Which graph shows the relationship between the number of pounds of bananas bought and the total cost?
1st graph

50. Which table has values that represent a proportional relationship?
2nd table -1, -6

51. Jeremy has two 7 foot-long boards
Jeremy has two 7 foot-long boards. He needs to cut pieces that are 15 inches long from the boards. What is the greatest number of 15-inch pieces he can cut from the two boards? 10