Free Printable The Ultimate 6th Grade KAP Review

1.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

2.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

3.

A data set can have more than one median?

a)

True

b)

False

4.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

5.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

6.

Find the range.
5, 15, 10, 20, 15, 10, 15

a)

5

b)

10

c)

15

d)

13

7.

Mode:
67, 74, 95, 98, 98, 99, 102

a)

90.4

b)

35

c)

92

d)

98

8.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

9.

A data set can have more than one mode

a)

True

b)

False

10.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

11.

What is the definition of the range?

a)

The average

b)

The number that occurs the most

c)

The middle number

d)

The difference of the largest and smallest numbers

12.

What statement is true about the box plot?

a)

Half of the students have 0 to 6 pencils in their desks.

b)

12 is an outlier.

c)

The median number of pencils is 4.

d)

More students have 6 to 12 pencils in their desks than 0 to 2 pencils.

13.

What is the inter-quartile range (IQR)?

a)

30

b)

40

c)

75

d)

80

14.

Which statement best describes this graph?

a)

There is a peak at 47.

b)

There is a cluster around 38-40.

c)

The mode is 40.

d)

There is a gap in the data between 39-40.

15.

What is the shape of the data?

a)

symmetrical

b)

skewed right

c)

bell curve

d)

skewed left

16.

What is the shape of the data for Lucy's Steakhouse?

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

17.

Which class has a higher median?

a)

1st Period

b)

2nd Period

18.

Which class has the highest test score

a)

1st Period

b)

2nd Period

19.

Which statement about the data is true?

a)

The median number of hours is about the same for both phone batteries.

b)

Brand B has three modes.

c)

Brand A has a larger range.

d)

Both sets of data peak at 19 hours

20.

Students were asked about the number of hours they spent playing video games over the weekend and the number of hours they spent exercising. Which statement is NOT true according to the data?

a)

The data for exercise is skewed to the right.

b)

Zero is an outlier for the hours spent playing video games.

c)

Both sets of data have the same number of modes.

d)

The mean number of hours spent exercising is about 4

21.

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet, how would this be shown mathematically?

a)

250 + 80 + (-18)

b)

-250 + 80 - (- 18)

c)

250 + -( 80) + (- 18)

d)

-250 + 80 + (-18)

22.

If you run up 14 steps, fall down 12, and crawl up 22 more steps, how many steps are you from where you began?

a)

+48

b)

+24

c)

-20

d)

+22

23.

-65 + (-23) =

a)

- 88

b)

- 42

c)

+ 88

d)

+ 42

24.

Which expression represents a temperature starting in the morning at 12 degrees below zero rising 14 degrees at noon, and falling 5 degrees that night?

a)

12 + 14 + (-5)

b)

- 12 + 14 + 5

c)

12 + (-14) + (-5)

d)

- 12 + 14 + (-5)

25.

23 - 47 + 18 - (-12) =

a)

6

b)

-18

c)

56

26.

(-12) x (-10) =

a)

- 120

b)

120

27.

You were given $25 for your birthday and earned another $82 shoveling snow; however, you owed your sister $115 for the sneakers you wanted. What expression represents this?

a)

0 + 25 + 82 + 115

b)

0 + 25 + 82 + (-115)

c)

0 - 25 + 82 + 11

28.

While out on an adventure you hiked up 1,015', floated down the river 800', and climbed a rock face of 40' before cliff diving and ended up 15' below the surface of the water. How far was your fall from the cliff to your lowest point?

a)

240'

b)

270'

c)

260'

d)

215'

29.

A negative times a negative is ___________ ____________.

a)

Sometimes negative

b)

Sometimes positive

c)

Always negative

d)

Always positive

30.

What is the sum of the following expression?

-2+(-3)+4+(-6)

a)

3

b)

-7

c)

10

d)

5

31.

What is the sum of the following expression?

-2+(-3)+4+(-6)

a)

3

b)

-7

c)

10

d)

5

32.

$-35\div7=$

a)

5

b)

-6

c)

6

d)

-5

33.

$-9+62=$

a)

45

b)

53

c)

49

d)

-53

34.

$-8-10=$

a)

-18

b)

2

c)

18

d)

-2

35.

Which equation is modeled above?

a)

5+(-7)= -2

b)

5-7= 2

c)

-5+(-7)= -12

d)

5+(-7)= 2

36.

Which expression is represented on the number line?

a)

-3+(-6)

b)

3+(-6)

c)

-3+(-3)

d)

3+6

37.

What is the product of the expression below?

6(-3)(2)

a)

36

b)

5

c)

-5

d)

-36

38.

Which of the following expressions is represented on the number line above?

a)

4(-2)

b)

2(4)

c)

4(2)

d)

2(-4)

39.

Joe has 3 cards. The red cards represent negative integers and the black cards represent positive numbers. What is the total value of his cards?

a)

-16

b)

8

c)

-8

d)

16

40.

If the starting temperature of the freezer was 20 degrees and decreases 4 degrees each hour. What will the temperature be after 7 hours?

a)

8

b)

48

c)

-8

d)

-48

41.

-2 + 6 + (-3) + 2 + (-8)

a)

21

b)

5

c)

10

d)

-5

42.

Lane had five cards with the following numbers on them:

5, -2, 8, -10, 4

His score was the sum of the numbers on these five cards. What was Lane's score?

a)

-5

b)

5

c)

29

d)

-14

43.

-7 x 8 =

a)

56

b)

-56

c)

49

d)

-49

44.

22 - (-11) =

a)

-33

b)

33

c)

-11

d)

11

45.

Which statements about opposites are true?

a)

The opposite of the opposite of a number is the number itself.

b)

The opposite of a number is 1 divided by that number.

c)

The opposite of a number is always a negative number.

d)

A non-zero number and its opposite are located on opposite sides of zero on a number line.

46.

Which expression is represented by the model?

a)

6 - (-4)

b)

6 - 4

c)

6 - (-10)

d)

6 - 10

47.

Which expression is represented by the model?

a)

-1 + 6

b)

-3 x 2

c)

-2 x 3

d)

0 - (-6)

48.

Which expression is represented by the model?

a)

-7 + 0

b)

-7 + 3

c)

-7 + 7

d)

-7 + 10

49.

Which expression is represented by the model?

a)

5 x -2

b)

5 + (-2)

c)

-5 - 2

d)

5 - (-2)

50.

Which of the following expressions best represents the model?

a)

-7 - 5

b)

-7 + 5

c)

7 - 5

d)

-5 - (-7)

51.

0.48 ÷ 0.4

a)

1.2

b)

12

c)

0.12

d)

0.012

52.

4.34 ÷ 0.2

a)

217

b)

21.7

c)

43.4

d)

4340

53.

Paw Kaw bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. How much does the steak cost?

a)

$4.20

b)

$6.90

c)

$22.50

d)

$6.30

54.

ESTIMATE the answer.
49.3 ÷ 6

a)

8

b)

10

c)

2

d)

5

55.

Ryan earns $20.16 working for 3 hours. How much does he earn per hour?

a)

$60.48

b)

$6.82

c)

$6.72

d)

$6.71

56.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

57.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

58.

George has 1/3 pan of brownies. He eats 1/4 of what he has. What fraction of a pan did George eat?

a)

1/7

b)

1/4

c)

1/3

d)

1/12

59.

What is 2/3 x 2/3

a)

4/9

b)

2/3

c)

4/3

d)

4/6

60.

Multiply.

a)

23/3

b)

5 3/12

c)

7 2/3

d)

92/12

61.

If I multiply a mixed number with another mixed number, which of the following will always be true?

a)

The product will always be larger than 1

b)

The product will always be smaller than 1

c)

The project will always be an even number

d)

The product will be double the size of both factors

62.

4.3 x 0.4

a)

17.2

b)

1.72

c)

16.4

d)

1.64

63.

a)

$21\ \frac{1}{3}$

b)

12

c)

$\frac{3}{64}$

d)

48

64.

a)

$\frac{4}{7}$

b)

$\frac{7}{4}$

c)

$\frac{25}{7}$

d)

$\frac{7}{25}$

65.

a)

37.76 ft

b)

2.335 ft

c)

18.80 ft

d)

4.67

66.

a)

16.1

b)

18.4

c)

31.74

d)

39.4

67.

a)

520.2 pounds

b)

1.61 pounds

c)

30.7 pounds

d)

231.7 pounds

68.

a)

$10$

b)

$9\ \frac{1}{4}$

c)

$\frac{3}{37}$

d)

$12\ \frac{1}{3}$

69.

a)

$6.41

b)

$21.50

c)

$53.94

d)

$167.40

70.

a)

15

b)

1.71

c)

21

d)

6

71.

a)

$\frac{3}{10}$

b)

$6\ \frac{2}{5}$

c)

19.2

d)

$3\ \frac{1}{3}$

72.

a)

15

b)

19

c)

1.18

d)

25

73.

a)

$\frac{1}{3}$

b)

$\frac{3}{16}$

c)

3

d)

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

74.

a)

6

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

75.

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation?

a)

y = 30x + 100

b)

y = 20x + 120

c)

y = 120x + 120

d)

y = 50x + 100

76.

What equation represents this graph?

a)

y = 60x

b)

y = 40x

c)

y = 80x

d)

y = 20x

77.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

78.

What equation can be used to represent the relationship between the input (x) and output (y)?

a)

y = x + 4

b)

y = 3x

c)

x = y + 4

d)

x = 3y

79.

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

a)

y=4x+3

b)

y=3x-4

c)

y= -4x+3

d)

y=3x+4

80.

Write an equation for this situation.

a)

y=9.75x

b)

y=x + 19.25

c)

y=19.25x

d)

y=9.5x

81.

Stella got a new internet plan. The company charges her $0.15 for each minute plus a monthly fee of $40. What equation would be used to calculate how much the cost is for her new internet plan?

a)

y=0.15x-40

b)

y=0.15x+40

c)

y=0.15-40x

d)

y=0.15+40x

82.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

a)

$y=50x$

b)

$y=20x+30$

c)

$y=30x+20$

d)

$20x+30y$

83.

What is the constant of proportionality for the table?

a)

m = 90

b)

m = 18

c)

m = 1/9

d)

m = 9

84.

What is the constant rate of change for this relationship?

a)

m = 3

b)

m = 4

c)

m = 6

d)

m = 4.5

85.

Why does this graph show a non-proportional relationship?

a)

Because it is proportional

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

86.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

87.

A submarine started the day at sea level and then descended at a rate of 1,200 feet per hour. The equation y = -1200x can be used to determine the depth of the submarine.

Which table contains a set of values that correspond to the equation?

a)

b)

c)

d)

88.

The graph compares the number of people at a party and the number of slices of pizza ordered. Which statement is true?

a)

The number of people at the party depends on the number of pieces of pizza ordered.

b)

The number of pieces of pizza ordered depends on the number of people at the party

c)

The number of people at the party is the dependent variable.

d)

The number of pieces of pizza ordered is independent of the number of people at the party.

89.

Which table corresponds to the equation?

a)

b)

c)

d)

90.

Which equation represents the table?

a)

b)

c)

d)

91.

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

a)

b)

c)

d)

92.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which graph models the amount she charges over time?

a)

b)

c)

93.

The temperature at dawn was $-5\degree$ F and it rose $2\degree$ F every hour.

Which table models the temperature over time?

a)

b)

c)

d)

94.

Which value represents your rate of change in

y= mx + b

a)

y

b)

m

c)

x

d)

b

95.

Which table represents the graph?

a)

b)

c)

d)

96.

Which table represents the equation?

a)

b)

c)

d)

97.

Which situation could represent the graph?

a)

The temperature increases 5 degrees every 1 psi increase in pressure when heating silver.

b)

When heating gold, the pressure starts at 10 psi and increases by 5 psi each degree warmer.

c)

The pressure of iron increases by 5 psi every 1 degree increase in temperature.

d)

The pressure starts at 10 psi and increases by 1 psi every degree.

98.

Which equation could represent the graph?

a)

$y=10x+5$

b)

$y=x+5$

c)

$y=5x+10$

d)

$y=5x$

99.

Which situation represents the table?

a)

Mrs. Durham starts with $100 and saves $50 each week.

b)

Mrs. Durham gets $100 each week.

c)

Mrs. Durham gets $50 each week.

d)

Mrs. Durham starts with $100 and loses $50 each week.

100.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

101.

Which situation can be represented by the equation y = 13x ?

a)

The 13 girls on the volleyball team raise money for their fundraiser, how much did each girl raise?

b)

Dominos Pizza sells $13 more for a pizza than breadsticks.

c)

Walmart sells a waterslide for $13 less than Target.

d)

Vanessa buys x number of shirts for $13 each.

102.

Victoria ran 3 laps before Gaby joined her and they continued running laps together. What is the relationship between Victoria's laps, v, and Gaby's laps, g?

a)

The value of g is 3 more than the value of v

b)

the value of g is 3 times the value of v

c)

The value of v is 3 more than the value of g

d)

the value of v is 3 times the value of g

103.

Choose the equation AND the table that matches this graph.

a)

b)

c)

d)

104.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

105.

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation?

a)

y = 30x + 100

b)

y = 20x + 120

c)

y = 120x + 120

d)

y = 50x + 100

106.

What equation represents this graph?

a)

y = 60x

b)

y = 40x

c)

y = 80x

d)

y = 20x

107.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

108.

What equation can be used to represent the relationship between the input (x) and output (y)?

a)

y = x + 4

b)

y = 3x

c)

x = y + 4

d)

x = 3y

109.

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

a)

y=4x+3

b)

y=3x-4

c)

y= -4x+3

d)

y=3x+4

110.

Write an equation for this situation.

a)

y=9.75x

b)

y=x + 19.25

c)

y=19.25x

d)

y=9.5x

111.

Stella got a new internet plan. The company charges her $0.15 for each minute plus a monthly fee of $40. What equation would be used to calculate how much the cost is for her new internet plan?

a)

y=0.15x-40

b)

y=0.15x+40

c)

y=0.15-40x

d)

y=0.15+40x

112.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

a)

$y=50x$

b)

$y=20x+30$

c)

$y=30x+20$

d)

$20x+30y$

113.

What is the constant of proportionality for the table?

a)

m = 90

b)

m = 18

c)

m = 1/9

d)

m = 9

114.

What is the constant rate of change for this relationship?

a)

m = 3

b)

m = 4

c)

m = 6

d)

m = 4.5

115.

Why does this graph show a non-proportional relationship?

a)

Because it is proportional

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

116.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

117.

A submarine started the day at sea level and then descended at a rate of 1,200 feet per hour. The equation y = -1200x can be used to determine the depth of the submarine.

Which table contains a set of values that correspond to the equation?

a)

b)

c)

d)

118.

The graph compares the number of people at a party and the number of slices of pizza ordered. Which statement is true?

a)

The number of people at the party depends on the number of pieces of pizza ordered.

b)

The number of pieces of pizza ordered depends on the number of people at the party

c)

The number of people at the party is the dependent variable.

d)

The number of pieces of pizza ordered is independent of the number of people at the party.

119.

Which table corresponds to the equation?

a)

b)

c)

d)

120.

Which equation represents the table?

a)

b)

c)

d)

121.

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

a)

b)

c)

d)

122.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which graph models the amount she charges over time?

a)

b)

c)

123.

The temperature at dawn was $-5\degree$ F and it rose $2\degree$ F every hour.

Which table models the temperature over time?

a)

b)

c)

d)

124.

Which value represents your rate of change in

y= mx + b

a)

y

b)

m

c)

x

d)

b

125.

Which table represents the graph?

a)

b)

c)

d)

126.

Which table represents the equation?

a)

b)

c)

d)

127.

Which situation could represent the graph?

a)

The temperature increases 5 degrees every 1 psi increase in pressure when heating silver.

b)

When heating gold, the pressure starts at 10 psi and increases by 5 psi each degree warmer.

c)

The pressure of iron increases by 5 psi every 1 degree increase in temperature.

d)

The pressure starts at 10 psi and increases by 1 psi every degree.

128.

Which equation could represent the graph?

a)

$y=10x+5$

b)

$y=x+5$

c)

$y=5x+10$

d)

$y=5x$

129.

Which situation represents the table?

a)

Mrs. Durham starts with $100 and saves $50 each week.

b)

Mrs. Durham gets $100 each week.

c)

Mrs. Durham gets $50 each week.

d)

Mrs. Durham starts with $100 and loses $50 each week.

130.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

131.

Which situation can be represented by the equation y = 13x ?

a)

The 13 girls on the volleyball team raise money for their fundraiser, how much did each girl raise?

b)

Dominos Pizza sells $13 more for a pizza than breadsticks.

c)

Walmart sells a waterslide for $13 less than Target.

d)

Vanessa buys x number of shirts for $13 each.

132.

Victoria ran 3 laps before Gaby joined her and they continued running laps together. What is the relationship between Victoria's laps, v, and Gaby's laps, g?

a)

The value of g is 3 more than the value of v

b)

the value of g is 3 times the value of v

c)

The value of v is 3 more than the value of g

d)

the value of v is 3 times the value of g

133.

Choose the equation AND the table that matches this graph.

a)

b)

c)

d)

134.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

135.

$2+5=5+2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

136.

$3\cdot1=3$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

137.

$3\left(x+5\right)=3x+3\left(5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

138.

$\left(3+2\right)+5=3+\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

139.

$7-3=3-7$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

140.

$3\cdot\frac{1}{3}=1$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

141.

$3\left(x+5\right)=3\cdot x+3\cdot5$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

142.

$\left(3-2\right)-5=3-\left(2-5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

143.

$2\cdot5=5\cdot2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

144.

$3\left(x+5\right)=x+3\left(5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

145.

$3+0=3$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

146.

$\left(3\cdot2\right)\cdot5=3\cdot\left(2\cdot5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

147.

$3\left(x+5\right)=3x+15$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

148.

$\left(-2\right)+\left(-3\right)=\left(-3\right)+\left(-2\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

149.

$3+\left(-3\right)=0$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

150.

$\left(3\cdot2\right)+5=3\cdot\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

151.

$2\div5=5\div2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

152.

$\left(8\div4\right)\div2=\left(8\div4\right)\div2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

153.

$\left(3-2\right)+5=3-\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

154.

$3\left(x+5\right)=3x+5$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

155.

$12\cdot\left(m\cdot5\right)=\left(m\cdot5\right)\cdot12$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

156.

$m+0=m$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

157.

$5\left(m+12\right)=\left(5\cdot m\right)+\left(5\cdot12\right)$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

158.

$m\cdot1=m$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

159.

$m+\left(-m\right)=0$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

160.

$5\times\frac{1}{5}=1$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

161.

$m\cdot\left(5\cdot12\right)=\left(m\cdot5\right)\cdot12$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

162.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 4 + 2x + 1

b)

7x + 3x

c)

3x + 2x

d)

4 + 1

163.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 4 + 2 + 2

b)

3x + 4 + 2x + 2 - x - 1

c)

3x - 4 + 2 - 2 -x

d)

3x + 4 + 2 + 2 - 1 - 1

164.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 6

b)

3x - 6

c)

2x + 4

d)

2x + 7

165.

Look at the model. Which of the following expressions could it represent?

a)

4x + 5

b)

x + 2

c)

2x + 7

d)

4x + 5x

166.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

167.

w + w + w could be simplified as?

a)

3w

b)

3

c)

w

d)

0

168.

Simplify 6(x + -2)

a)

6x + -2

b)

6x - 12

c)

4x

d)

6x - 2

169.

Simplify the expression

3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

170.

Which expression is NOT equivalent to $\frac{1}{2}\cdot\left(x-6\right)$ ?

a)

b)

c)

d)

171.

a)

A

b)

B

c)

C

d)

D

172.

Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

a)

25%

b)

18%

c)

20%

d)

50%

173.

Find the percent increase. Round to the nearest percent.
From $5 to $8

a)

40%

b)

60%

c)

55%

d)

65%

174.

Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points

a)

55%

b)

50%

c)

45%

d)

35%

175.

12 papayas cost $36. How many papayas can Jack buy for $9?

a)

3

b)

2

c)

4

d)

27

176.

Natalie was planning a trip to Jordan. Before going, she did some research and learned that the exchange rate is $4 for 3 Dinars. How many Dinars would she get if she exchanged $56?

a)

37 Dinars

b)

42 Dinars

c)

33 Dinars

d)

75 Dinars

177.

If Madison can buy seven mangos for $6.23, then how many can she buy with $12.46?
* Round your answer to the nearest tenth. Round dollar amounts to the nearest cent.

a)

15

b)

11

c)

16

d)

14

178.

In Ms. Varner's class 8 out of 25 students are boys. What percentage of the class are GIRLS?

a)

32%

b)

17%

c)

68%

d)

8%

179.

15 out of 25 boys chose to go swimming at camp. What percent is that?

a)

15%

b)

25%

c)

55%

d)

60%

180.

Which shows the decimal and percent for 7/8 ?

a)

0.875 and 875%

b)

0.875 and 8.75%

c)

0.875 and 87.5%

d)

0.875 and .875%

181.

$\frac{-7}{4}\div\frac{1}{8}$

a)

14

b)

12

c)

-14

d)

None

182.

Multiply. Write fractions in simplest form.

$2\frac{2}{3}\times\left(-4\frac{1}{4}\right)$

a)

$-11\frac{1}{3}$

b)

$\frac{34}{3}$

c)

$-8\frac{3}{12}$

d)

$-8\frac{1}{4}$

183.

$2^3\times3^2=?$

a)

36

b)

72

c)

576

d)

54

184.

$8\times18\div4+5$

Evaluate the expression above.

a)

76

b)

16

c)

41

d)

153

185.

$21\div3+4\cdot6$

Evaluate the expression above.

a)

18

b)

31

c)

0.5

d)

168

186.

$\left[6^2+\left(15\div3+3^2\right)\right]+3^2$

Evaluate the expression above.

a)

109

b)

29

c)

32

d)

59

187.

a)

1

b)

4

c)

-7

d)

14

188.

Evaluate the expression above.

a)

-70

b)

18

c)

0.25

d)

2

189.

Evaluate the expression above.

a)

11

b)

14.5

c)

9

d)

5.5

190.

Evaluate the expression above.

a)

1

b)

11

c)

-3

d)

15

191.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 3² • 5

c)

2² • 3 • 5

d)

2⁷

192.

Find the prime factorization of 108

a)

2³ * 3²

b)

2² • 3³

c)

2⁵ • 3

d)

2 • 3 • 7 • 11

193.

Select all of the prime numbers.

a)

1

b)

2

c)

7

d)

18

e)

21

194.

What number has the prime factorization of 2³• 11?

a)

55

b)

66

c)

88

d)

99

195.

Find the prime factorization of 420

a)

2² • 3 • 5 • 7

b)

7⁷

c)

2² • 3 • 11

d)

2³ • 3 • 7

196.

Joan spent half of her allowance going to the movies. She washed the family car and earned 7 dollars. What is her weekly allowance if she ended up with $14.50?

a)

$15

b)

$3.75

c)

$43

d)

$10.75

197.

Jett has $1000 in her savings. She spends $75 each week on groceries. How many weeks have gone by if she now has $250 in her savings?

a)

$16\frac{2}{3}$ weeks

b)

10 weeks

c)

0.23 weeks

d)

56,250 weeks

198.

Choose the correct equation for this situation: Antonia earned $45 for working 6 hours. How much did Antonia earn per hour?

a)

$e+6=45$

b)

$e-6=45$

c)

$6e=45$

d)

$\frac{e}{6}=45$

199.

Choose the equation that best represents the word problem below.

In a recent election, Ohio had 20 electoral votes. This is 14 votes less than Texas had. How many votes did

Texas have?

a)

$x+14=20$

b)

$x-14=20$

c)

$x\cdot14=20$

d)

$x\div14=20$

200.

Morgan and her 3 friends split ice-cream. If each person got 16 ounces of ice cream, which equation can be solved to determine the amount of ice-cream in the original container?

a)

$3c=16$

b)

$4c=16$

c)

$\frac{c}{3}=16$

d)

$\frac{c}{4}=16$

201.

Sebastian had 8 marbles. His father gave him more marbles for his birthday. If he now has 23 marbles, which equation can be solved to find the number of marbles given by Sebastian's father?

a)

$x+8=23$

b)

$x-8=23$

c)

$x\cdot8=23$

d)

$x\div8=23$

202.

Four students were asked to solve the following inequality.

\frac{m}{3}-3\le-6

Which student found the correct solution AND used the steps taught during class?

a)

b)

c)

d)

203.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

a)

50 + 3.5x < 71

b)

71 - 3.5x < 50

c)

71 - 3.5x ≤ 50

d)

71 + 3.5x < 50

204.

Solve 2 - 3x ≤ 20

a)

b)

c)

d)

205.

Students were asked to solve the equation 7w = 63. Some student work is shown in the answer choices. Which student found the correct solution AND used the steps discussed during class?

a)

b)

c)

d)

206.

Which inequality matches the above word problem?

a)

b)

c)

207.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

208.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

209.

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

a)

300x + 10 ≥ 2000

b)

10x + 300 ≤ 2000

c)

10x + 300 > 2000

d)

300 + 10x ≥ 2000

210.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

211.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

hope you get the right answer.

212.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

213.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

214.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

a)

54

b)

45

c)

56

d)

65

215.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

216.

Solve the inequality below.

-4\left(-4+m\right)>56

a)

b)

c)

d)

217.

What is the largest angle?

a)

J

b)

K

c)

L

218.

Solve for x

a)

20

b)

25

c)

120

d)

180

219.

Which of the following could be angle measures for a triangle?

A 120°, 50°, 20°

B 100°, 200°, 60°

C 30°, 50°, 80°

D 40°, 50°, 90°

a)

A

b)

B

c)

C

d)

D

220.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

221.

What is the area of the parallelogram above?

a)

13 cm²

b)

28.5 cm²

c)

45.6 cm²

d)

40 cm²

222.

Area of triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

223.

Find the area

a)

41

b)

45

c)

44

d)

43

224.

What is the area of the shaded region?

a)

19.8 cm2

b)

25.16 cm2

c)

32.6 cm2

d)

14.96 cm2

225.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

226.

Solve for x.

a)

20

b)

60

c)

90

d)

180

227.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

228.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

229.

What is the area?

a)

28 square units

b)

35 square units

c)

14 square units

d)

35 square units

230.

What is the area?

a)

30 m²

b)

11 m²

c)

25 m

d)

15 m²

231.

Find the area of this trapezoid. The Bases are 8 inches and 2.2 inches. The height is 4 inches.

a)

40.8 in²

b)

20.4in²

c)

10.2 in²

d)

24 in²

232.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

233.

What is the biggest side?

a)

EF

b)

FG

c)

EG

234.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

235.

Solve for x.

a)

-8

b)

-6

c)

7

d)

-1

236.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

237.

What is the area of the parallelogram?

a)

63 cm²

b)

72 cm²

c)

56 cm²

238.

A triangle's area is 54 m² & its base is 6 meters long. What is the height of the triangle?

a)

9 m

b)

18 m

c)

324 m

d)

162 m

239.

Find the area.

a)

14 in²

b)

18 in²

c)

52 in²

d)

28 in²

240.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

241.

What is the smallest side?

a)

EF

b)

FG

c)

EG

242.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

243.

A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

244.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

245.

The area is 54 cm² and height is 6 cm. What is the length of the base?

a)

6 cm

b)

9 cm

c)

12 cm

d)

8 cm

246.

A triangle's area is 9.6 cm² & its height is 1.2 centimeters long. What is the base of the triangle?

a)

8 cm

b)

16 cm

c)

11.52 cm

d)

5.76

247.

Find the Area.

a)

91 ft²

b)

77 ft²

c)

78 ft²

d)

105 ft²

248.

Find the area of this.

a)

141 cm2

b)

114 cm2

c)

140 cm2

d)

411 cm2

The Ultimate 6th Grade KAP Review

Total questions: 248

Worksheet time: 41hrs 20mins

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