6th Grade Math Review Bank 2014-15

Item # / TEKS / Answer Key / Teacher Notes / Student Data
1 / 6.12A / A
2 / 6.4B - readiness / C
3 / 6.4B - readiness / D
4 / 6.4B - readiness / B
5 / 6.7D – readiness / C
6 / 6.10A – readiness / C
7 / 6.6C – readiness / D
8 / 6.8D – readiness / B
9 / 6.8D – readiness / A
10 / 6.12C – readiness / C
11 / 6.5B – readiness / B
12 / 6.2C / Point P
13 / 6.7D – readiness / A
14 / 6.9A / A
15 / 6.6C – readiness / B
16 / 6.6C – readiness / D
17 / 6.8A / B
18 / 6.12C – readiness / A
19 / 6.9B / C
20 / 6.4H – readiness / D
21 / 6.5B – readiness / C
22 / 6.4E / D
23 / 6.8D – readiness / A
24 / 6.6C – readiness / B
25 / 6.3D – readiness / C
26 / 6.6C – readiness / d=95t
902.5 miles
27 / 6.7D – readiness / A
28 / 6.8A / D
29 / 6.3C / G
30 / 6.7A – readiness / B
31 / 6.5B – readiness / B
32 / 6.7A – readiness / C
33 / 6.2D – readiness / B
34 / 6.3E – readiness / B
35 / 6.2D – readiness / J
36 / 6.3E – readiness / G
37 / 6.4G – readiness / A
38 / 6.13A – readiness / J
39 / 6.4G – readiness / G
40 / 6.4H – readiness / B
41 / 6.12C – readiness / A
42 / 6.4H – readiness / A
43 / 6.11 – readiness / D
44 / 6.11 – readiness / D
45 / 6.3E – readiness / B
46 / 6.13A – readiness / A
47 / 6.4B – readiness / C
48 / 6.3E – readiness / A
49 / 6.7D – readiness / C
50 / 6.6C – readiness / B

6th Grade Review Items

1.  Which choice shows a set of data that could be represented by the box plot shown below?

A 1, 3, 5, 6, 7, 7, 8, 13, 19, 20

B 1, 3, 5, 6, 6, 8, 13, 14, 19, 20

C 1, 2, 3, 5, 7, 8, 8, 13, 19, 20

D 1, 5, 5, 6, 6, 6, 8, 13, 19, 20

2.  A recipe requires 14 lb of onions to make 3 servings of soup. Mark has 1.5 lbs of onions. How many servings can Mark make?

A 6 B 12

C 18 D 24

3.  One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?

A 5 B 10

C 25 D 30

4.  The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have?

A 21 units B 27 units

C 33 units D 48 units

5.  Which expression is equivalent to 5y + 2y + 6x + 2y – x?

A 5x + 6y B 5x + 7y

C 5x + 9y D 7x + 7y

6.  Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Diana work if she was paid $45.50?

A 5.5 hours B 6 hours

C 6.5 hours D 7 hours

7.  Karen recorded her walking pace in the table below. What equation best represents this relationship?

Hours Walked (h) / Miles Walked (m)
2.5 / 8.75
4 / 14

A h = m + 10

B h = 3.5m

C m = h + 10

D m = 3.5h

8.  Marcus taped together pieces of construction paper to make a large trapezoid for an art project. He measured the side lengths and labeled them on the sketch below.

What is the area of the polygon that Marcus created for his art project?

A 66.1 in.2 B 195.5 in. 2

C 161.5 in. 2 D 229.5 in. 2

9.  The right rectangular prism below is made up of 8 cubes. Each cube has an length of 12 inch.

What is the volume of this prism?

A 1 cubic inch B 2 cubic inches

C 4 cubic inches D 8 cubic inches

10.  Each 6th grader kept track of the number of books they read this semester. The data is shown below.

Which statement is supported by the data in the box plot?

A.  The median number of books read was 20 books.

B.  The lowest number of books read was 1 book.

C.  The interquartile range (IQR) shows that 50% of the students read between 7 and 18 books.

D.  The greatest number of books read was 40.

11.  A company that makes boxes finds that 3 out of 20 boxes are damaged. What percent of the boxes are damaged?

A 12% B 15%

C 25% D 34%

12.  Which point on the number line represents -412 ?

13.  Which expression represents the perimeter of the triangle?

A 9k + 36 B 10k + 25

C 20k + 25 D 24k + 36

14.  Kevin’s stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions, where f is the weight of the freezer?

A f + 170 ≥ 370 B f - 170 ≥ 370

C f + 170 ≤ 370 D f - 170 ≤ 370

15.  The table shows how much a store charges for certain numbers of pencils.

Number of Pencils (p) / Cost (c)
4 / $0.72
7 / $1.26
12 / $2.16

Based on the table, which equation could be used to calculate the cost, c, of any number of pencils, p?

A c = 0.09p B c = 0.18p

C c = 0.54p D c = 0.72p

16.  Mike earned the amounts listed in the table below.

Which equation could be used to find the amount of money Mike earns, E, for any number of hours worked, h?

A E = 18.75 + h B E = 12.25 + h

C E = 18.75h D E = 12.25h

17.  Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

A 2 cm, 8 cm, 8 cm B 2 cm, 3 cm, 6 cm

C 4 cm, 5 cm, 7 cm D 5 cm, 6 cm, 9 cm

18.  Veronica and James are both on a bowling team. Below are their bowling scores.

How much higher is Veronica’s median score than James’s median score?

A 12 B 10

C 7 D 3

19.  Which graph is the solution set for 2x < 8?

20.  A full punch bowl holds 4 gallons of punch. If each glass holds 4 ounces of punch, how many glasses can be filled from a full punch bowl?

A 16 glasses B 32 glasses

C 64 glasses D 128 glasses

21.  In Ms. Perron’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Perron’s class?

A 6 B 14

C 24 D 57

22.  The model below represents the ratio of girls to boys in this year’s MathCounts club.

G / G / G / B / B / B / B / B

Which could be the number of boys and girls on the team?

A 3 girls and 8 boys B 6 girls and 16 boys

C 5 girls and 3 boys D 9 girls and 15 boys

23.  What is the area, in square centimeters, of the figure below?

A 6.96 B 10.6

C 13.92 D 17.4

24.  Points F, G, and H are graphed below.

Which equation represents the relationship between the x- and y-coordinate of each point?

A y = 2x B y = 0.5x

C y = x – 2 D y = x + 3

25.  Scientists determined that Antarctica’s average winter temperature was−34. 44 °C . The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature?

A −83.88 °C B −15°C

C 15°C D 83.88 °C

26.  A train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hours.

Write an equation to represent the relationship between t, the time, and d, the total distance traveled by the train.

Graph the relationship between the train’s time and distance for the first 7 hours.

If the train was traveling nonstop, how many miles would it travel in 9.5 hours?

27.  The expression below was simplified using two properties of operations.

Which properties were applied in Steps 1 and 3, respectively?

A commutative property, then distributive property

B commutative property, then identity property

C associative property, then distributive property

D associative property, then commutative property

28.  Which number could not be a value of x ?

A 8 B 9

C 12 D 21

29.  Which expression is represented by the model below?

30.  What is the value of the expression below?

31.  Elisa surveyed people in her neighborhood about whether they would like to have a swimming pool in their community park. Of those who responded, 65% were in favor of having a swimming pool. Based on these results, which statement could be true?

A Elisa surveyed 10 people, and 6 people were in favor of having a swimming pool.

B Elisa surveyed 20 people, and 13 people were in favor of having a swimming pool.

C Elisa surveyed 65 people, and 10 people were in favor of having a swimming pool.

D Elisa surveyed 13 people, and 5 people were in favor of having a swimming pool.

32.  Which expression represents the prime factorization of 40?

A 2·3·5 B 22·3·5

C 23·5 D 42·5

33.  During one month, four trees at a nursery increased in height at the rates shown below.

Which list shows these rates in order from greatest to least?

34.  Mr. Atkinson has 514lb of dry fish food. He will put an equal amount of food into 3 containers. How much fish food will be in each container?

35.  Which list of numbers is in order from greatest to least?

36.  Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he gives the cashier $20.00?

F $6.30 G $13.70

H $14.95 J $2.52

37.  The box below contains equivalent values.

Which number is equivalent to the values in the box?

38.  The graph below shows the number of items sold at an electronics store one weekend.

F The number of video games sold was 13 of the number of computers sold.

G The number of music systems sold was 36 more than the number of video games sold.

H The number of televisions sold was 12 more than the number of DVDs sold.

J The number of televisions sold was 14 of the total number of items sold.

39.  Jerome invested some money and his return was 240% of his original investment. Which two values are both equivalent to 240%?

40.  One-half gallon is equivalent to 4 pints. How many gallons are the equivalent of 72 pints?

A 64 gal B 9 gal

C 80 gal D 576 gal

41.  William made the line plot below to show the length of 11 worms he found in his garden.

After he completed the line plot, he found two more worms with lengths of 14 cm and 11.5 cm.

Which measure(s) will change when he adds the two new lengths to the line plot?

A mean B median

C mean and median D range

42.  A king snake is 3150 m long. What is an equivalent length of this king snake in centimeters?

A 62 cm B 0.31 cm

C 310 cm D 0.62 cm

43.  The route that Verlonda takes from her house to a store is represented on the grid below.

Which ordered pair represents a point on Verlonda’s route?

A (0,−3) B (−3, 6)

C (3, 4) D (3, 8)

44.  What are the coordinates of point A?

A (1.5, −1.25) B (−2.75, 1.5)

C (−1.5, 1.5) D (− 1.25, 1.5)

45.  Which expression has a positive product?

A -311 · 415 B (-3.7)(-0.25)(8)

C -710 · -49 · -815 D (-10.6)(0.7)

46.  The number of points scored by Lillian and Naomi during four basketball games is shown below.

Which statement is best supported by the information in the graph?

A In Game 1 the number of points scored by Lillian was more than half the number of points scored by Naomi.

B The total number of points scored by Lillian and Naomi in Game 4 was more than the number of points scored by Lillian in Game 2.

C In Game 4 the number of points scored by Naomi was two times the number of points scored by Lillian.

D The total number of points scored by Lillian and Naomi in Game 3 was seven times the number of points scored by Lillian in Game 2.

47.  Rosy waxes 23 of her car with 14 a bottle of wax. At this rate, what fraction of the bottle will she use to wax the entire car?

A 18 B 16

C 38 D 34

48.  The area of a rectangular patio is 558 square yards, and its length is 112 yards. What is the width of the patio in yards?

A 334 B 418

C 718 D 8716

49.  Brianna’s teacher asks her which of these three expressions are equivalent to each other.

How should Brianna respond so that she is correct?

A All three expressions are equivalent.

B Only expressions A and B are equivalent.

C Only expressions A and C are equivalent.

D None of the expressions are equivalent.

50.  The graph shows the number of teaspoons of water, y, that have dripped from a leaky faucet at the end of x minutes.

Which equation represents the relationship between x and y shown in the

graph?

A y = 3x B y = 13x

C y = x – 3 D y = x + 3