Free Printable 6th grade final review

1.

3/8 DIVIDED BY 1/6 =

a)

1 1/4

b)

1 1/2

c)

2 1/4

d)

2 1/2

2.

2/3 DIVIDED BY 1/5 =

a)

2/15

b)

3 1/3

c)

3 3/5

d)

4 2/15

3.

John has 4 Snickers candy bars. He wants to give his 8 friends an equal amount of Snickers, so he separated them into 8 parts as shown. What fraction of one candy bar did each friend get?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{8}$

d)

$\frac{1}{18}$

4.

$\frac{3}{5}\div4\ =$

a)

$2\frac{2}{5}$

b)

$\frac{3}{20}$

c)

$\frac{1}{3}$

d)

$\frac{4}{9}$

5.

Which equation represents this model?

a)

$3\div1=$

b)

$\frac{1}{3}\div\frac{1}{4}=$

c)

$\frac{1}{4}\div\frac{1}{3}=$

d)

$3\div4=$

6.

What is $5\div\frac{9}{10}=$

a)

$4\frac{1}{2}$

b)

$\frac{9}{50}$

c)

$5\frac{5}{9}$

d)

6

7.

What is $\frac{7}{10}\div\frac{1}{3}=$

a)

$\frac{7}{30}$

b)

$2\frac{1}{10}$

c)

5

d)

$\frac{10}{11}$

8.

$\frac{35}{4}$ Convert to a mixed number.

a)

$8$ $\frac{3}{4}$

b)

8.5

c)

$3$ $\frac{8}{4}$

d)

$3$ $\frac{5}{4}$

9.

$Convert\ \ 25\frac{1}{4}\ to\ an\ improper\ fraction.$

a)

$\frac{4}{101}$

b)

$\frac{101}{4}$

c)

$\frac{100}{25}$

d)

$\frac{25}{4}$

10.

Convert $22\frac{1}{2}$ to an improper fraction.

a)

$\frac{45}{2}$

b)

$\frac{22}{2}$

c)

$\frac{1}{22}$

d)

5

11.

$-7\left(-6\right)=$

a)

$42$

b)

$-42$

c)

$-13$

d)

$13$

12.

What is the value of:

$18\div\left(-9\right)$

a)

$2$

b)

$-2$

c)

$9$

d)

$-9$

13.

Simplify $-12\div\left(-4\right)$

(a)

14.

Simplify: $\frac{-8}{-4}$

(a)

15.

What do you get when you multiply a negative by a negative?

a)

Positive

b)

Negative

16.

What do you get when you divide a negative by a positive?

a)

Positive

b)

Negative

17.

What do you get when you divide a negative by a positive?

a)

Positive

b)

Negative

18.

The model represents which math equation?

a)

2 x (-3) = 6

b)

-3 x 3 = 9

c)

-3 x (-3) = 9

d)

3 x (-2) = -6

19.

The model represents which equation?

a)

5 x (-2) = -10

b)

2 x (-5) = 10

c)

4 x (-2) = 8

d)

4 x (-3) = -12

20.

What are the coordinates of point H?

a)

-4, 2

b)

4, -2

c)

-2, 4

d)

4, 4

21.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

22.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the shortest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

23.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

24.

What is length of the longest side of the rectangle?

a)

4 units

b)

15 units

c)

14 units

d)

8 units

25.

$\frac{3}{7}\times1\frac{1}{5}$

a)

$\frac{18}{36}$

b)

$\frac{18}{35}$

c)

$\frac{17}{34}$

d)

$\frac{17}{33}$

26.

$\frac{1}{8}\times1\frac{1}{5}$

a)

$\frac{2}{17}$

b)

$\frac{3}{17}$

c)

$\frac{2}{20}$

d)

$\frac{3}{20}$

27.

Find the function rule for the function table.

a)

2/n

b)

n + 2

c)

2n

d)

n - 2

28.

Find the function rule for the function table.

a)

2/n

b)

n + 2

c)

2n

d)

n - 2

29.

Give the function rule.

a)

x-4

b)

x/4

c)

4x

30.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

31.

less than

a)

<

b)

>

c)

≤

d)

≥

32.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

33.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

34.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

35.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

36.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

37.

Match:
The postal scale will weigh a maximum of 50 lbs.

a)

p < 50

b)

p > 50

c)

p ≤ 50

d)

p ≥ 50

38.

Tyreek wants at most 6 dollars. Which of these could be a solution.

a)

$12

b)

$9

c)

$20

d)

$4

39.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

40.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

41.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

42.

Find the volume of the rectangular prism. How many unit cubes would it take to make the rectangular prism?

a)

13 cubic units

b)

13 square units

c)

48 cubic units

d)

24 cubic units

43.

Each side of this ice cube measures 2 inches. What is the volume of the ice cube?

a)

6 cubic inches

b)

8 cubic inches

c)

12 cubic inches

d)

8 square inches

44.

What is the total surface area of the triangular prism shown?

a)

486 in²

b)

540 in²

c)

576 in²

d)

700 in²

45.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

46.

^{_{Find the Surface Area}}

a)

15m²

b)

16m²

c)

18m²

d)

20m²

47.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

48.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

49.

What is the median of the following set of numbers?

(6, 12, 9, 41, 27)

a)

27

b)

41

c)

9

d)

12

50.

Angela made 90% of the 50 free throws she attempted. How many free throws did Angela make?

a)

10

b)

27

c)

41

d)

45

51.

In the school election James ran against Ben for secretary. James received 75% of the votes. If 240 students voted, how many votes did James receive?

a)

175

b)

160

c)

153

d)

180

52.

Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?

a)

76%

b)

66%

c)

24%

d)

54%

53.

When finding the ________________, you must first find the area of each face or curved side and then add each of those together for your final answer.

a)

perimeter

b)

surface area

c)

area

d)

net

54.

What is the Median for this data set? (Remember to put them in order from least to greatest)

12, 12, 11, 10, 15

(a)

55.

What is the mean for this data set?

30, 25, 23, 33, 35, 29

a)

29.2

b)

30

c)

25

56.

What is the Mode for this data set?

30, 25, 23, 33, 35, 29

a)

No Mode

b)

30

c)

23

d)

29

57.

Two hundred seventy-six people are seated in 12 identical rows for a performance of a school play. How many people are in each row? Let p be the number of people in each row.

a)

p = 276 ÷ 12

b)

p = 276 ⋅ 12

c)

276p = 12

d)

p = 12 + 276

58.

A $20 t-shirt is on sale for 1⁄10 off. How much money will Sierra save if she buys the shirt on sale? Let d be the number of dollars saved.

a)

d = 20 ⋅ 1⁄10

b)

d = 1⁄10 + 20

c)

20d = 1⁄10

d)

d = 10 ÷ 1⁄10

59.

A land surveyor must partition a distance of 2,600 feet into 40 identical parts. Each part will represent what number of feet? Let f be the number of feet in each part.

a)

40f = 2,600

b)

f = 40 ÷ 2,600

c)

2,600f = 40

d)

f = 2,600 − 40

60.

A spring is 6 centimeters long, which is ⅜ as long as it can be stretched. How far can the spring be stretched? Let d be the distance in centimeters the spring can be stretched.

a)

⅜ · d = 6

b)

d = 6 + ⅜

c)

d = ⅜ ⋅ 6

d)

d = ⅜ ÷ 6

61.

For a school assembly, 304 students are to be seated in rows with 16 students in each row. How many rows of students will be seated for the assembly? Let r be the number of rows.

a)

r = 304 ÷ 16

b)

r = 16 ⋅ 304

c)

304r = 16

d)

r = 16 ÷ 304

62.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 5 to both sides

b)

add 15 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

63.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Subtract 62 from each side.

b)

Add 62 to each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

64.

Solve for x.

x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

6th grade final review

Total questions: 64

Worksheet time: 7hrs 4mins

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