Free Printable 7th Grade End of the Year Math FEST!

1.

First off, how are you feeling today?

a)

Great!

b)

Tired

c)

Okay

d)

Fine

2.

We are going to start off with proportional relationships. What do you remember about them?

4 lines

3.

Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

4.

Is this table proportional?

a)

Yes

b)

No

5.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

6.

Is this table proportional?

a)

Yes

b)

No

7.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

8.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

9.

Is this graph proportional?

a)

Yes

b)

No

10.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

11.

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

12.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

13.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

14.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

15.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

16.

Is this table proportional?

a)

Yes

b)

No

17.

Does the table show a proportional relationship?

a)

Yes

b)

No

18.

In the equation y = 14x, what is the constant of proportionality (multiplier)?

a)

y

b)

x

c)

14

19.

If the constant of proportionality (multiplier) is 10, which of the following is the correct proportional equation?

a)

10=kx

b)

10=k

c)

y=10k

d)

y=10x

20.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

21.

What makes a graph proportional?

a)

Straight line

b)

A curve that goes through the origin

c)

A curve

d)

Straight line that goes through the origin

22.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

23.

Now let's go into integer operations

a)

Fun

b)

This is cruel

c)

I'm not saying I'm happy about it but I'm not mad about it

24.

$Simplify:\ \frac{-45}{9}$

(a)

25.

$-17-\left(-2\right)=$

a)

19

b)

-19

c)

15

d)

-15

26.

$15+\left(-21\right)=$

(a)

27.

$7\left(-4\right)=$

a)

3

b)

-3

c)

28

d)

-28

28.

$Simplify:\ -\frac{16}{2}$

(a)

29.

$-35\div\left(-7\right)$

a)

5

b)

-5

c)

-42

d)

42

30.

$Simplify:\ \frac{-8}{-64}$

a)

$8$

b)

$-8$

c)

$\frac{1}{8}$

d)

$-\frac{1}{8}$

31.

$-20+46=$

(a)

32.

$-42+17=$

a)

25

b)

-25

c)

59

d)

-59

33.

$-90+\left(-30\right)=$

a)

-60

b)

60

c)

120

d)

-120

34.

Multiply:

-2\left(2\right)\left(-2\right)

(a)

35.

$-6\left(-8\right)$

(a)

36.

$-7\times6=$

a)

-1

b)

42

c)

-42

d)

-35

37.

$-18-12=$

a)

6

b)

-6

c)

30

d)

-30

38.

$15-\left(-34\right)$

(a)

39.

$16-32=$

(a)

40.

-14 + (-3)

a)

-17

b)

11

c)

-11

d)

17

41.

-10 + 10

a)

20

b)

0

c)

-20

d)

1,000,000

42.

28 + (-30)

a)

-2

b)

2

c)

58

d)

-58

43.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

44.

5-19

a)

14

b)

24

c)

-14

d)

-24

45.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

46.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

47.

-7 - (-2) = ?

a)

9

b)

-9

c)

-5

d)

5

48.

If I have a negative multiplied with a positive, what will the answer be?

a)

Positive

b)

Negative

49.

(-9)(-8)

a)

-72

b)

72

c)

81

d)

-81

50.

Multiply
(5) • (–9) • (–2)

a)

90

b)

-45

c)

-90

d)

47

51.

Solve:
(-2)(-1)(-3)(-4)(-1)

a)

-11

b)

24

c)

-24

d)

11

52.

4(-20)

a)

80

b)

-80

c)

24

d)

-24

53.

-24 ÷ (-8)

a)

32

b)

-3

c)

-16

d)

3

54.

225 ÷ (-15)

a)

-15

b)

15

c)

-210

d)

240

55.

44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

56.

(-6)²=

a)

36

b)

12

c)

-36

d)

-12

57.

Mark and Sally went to the mall. Mark borrowed $2 from Sally for lunch.Then, he gave Sally $17 for a new t-shirt. How much does Sally have to pay in debt?

a)

19

b)

15

c)

-19

d)

-15

58.

Michael boards an elevator at the 23^rd floor. She travels up 14 floors, and then down 7 floors. What floor did she finally end up on?

a)

44

b)

-2

c)

16

d)

30

59.

Hailey’s bank statement showed that she owed $350. She made a deposit of $200. She purchased gasoline for $23. She made a deposit of $35, but then purchased a book for $15. What is her new balance?

a)

-$153

b)

$547

c)

$153

d)

-$77

60.

Now we are going to work with fractions and decimals (without a calculator!)

a)

Why are you so cruel?

b)

I'm ready!

c)

I can do this!

61.

-3 ¼ + ½

a)

-2 ¾

b)

3 ¾

c)

-3 ¾

d)

-¾

62.

-½ + -½

a)

- ¼

b)

1

c)

0

d)

-1

63.

Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?

a)

⅖ hours

b)

⅚ hours

c)

⅔ hours

d)

⅜ hours

64.

Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?

a)

⅚ laps

b)

⅔ laps

c)

¾ laps

d)

⅙ laps

65.

Tina lives 2 ¼ miles from the library. Sonya lives 3 ½ miles from the library. How much further does Sonya live than Tina?

a)

1 ½ miles

b)

1 ¼ miles

c)

¾ miles

d)

⅔ miles

66.

A Gatorade cooler has 36 cups of water. If a serving is ¾ of a cup how many servings are in the cooler?

a)

48 servings

b)

27 servings

c)

36 ¾ servings

d)

60 servings

67.

If a sheep eats ⅙ of a bale of hay a day how many sheep can be fed off of 2 bales of hay?

a)

3 sheep

b)

6 sheep

c)

9 sheep

d)

12 sheep

68.

-2 ⅙ - (-1 ¾)

a)

-5/12

b)

3 11/12

c)

5/12

d)

-2 1/10

69.

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?

a)

$32

b)

- $32

c)

- $5

d)

$30

70.

A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent

a)

- 15 feet

b)

15 feet

c)

195 feet

d)

- 195 feet

71.

A football team lost 9 yards on each of three consecutive plays. What was the team’s total change in position for the three plays?

a)

-9 yards

b)

3 yards

c)

-12 yards

d)

-27 yards

72.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

73.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

74.

-9 + (-5)

a)

-14

b)

14

c)

-4

75.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

76.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

77.

(-2)(-11)

a)

13

b)

-13

c)

-22

d)

22

78.

44/-4=

a)

-11

b)

11

c)

176

d)

-176

79.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

80.

7.9 + 18.72

a)

2662

b)

26.62

c)

1

d)

25.62

81.

Now we are moving into expressions and equations

a)

I am expressing that I would really rather not be part of this equation

b)

Expressions, Equations, oh my

c)

Pick this option if you want to

d)

This is only here so that each option has a 25% chance of being selected. Probability yo

82.

What is the simplified form of this expression
3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

83.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

84.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

85.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

86.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

87.

Solve 12 - 6y = 24

a)

2

b)

-2

c)

3

d)

-3

88.

3x + 2(4x - 4) = 3

a)

x = 22

b)

x = -22

c)

x = 1

d)

x = -1

89.

3x + 10(1 – 7x)

a)

13x – 7

b)

–67x + 10

c)

–4x + 10

d)

–73x + 10

90.

–2n + 5(–3 + 3n)

a)

–15 + n

b)

17n – 15

c)

13n – 15

d)

–17n + 3

91.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

92.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

93.

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

a)

Subtract 11 from both sides

b)

Divide - 3 on both sides

c)

Add 3 to both sides

d)

Add 11 to both sides

94.

½ = -⅛j

a)

4

b)

8

c)

-4

95.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

96.

-6(8x-7)=522

a)

x=-10

b)

x=109

c)

x=10

d)

x=4

97.

Which expression represents the area?

a)

6x + 3

b)

8x + 12

c)

8x² + 12

d)

8x + 3

98.

Which expression represents the perimeter of the triangle?

a)

4x + 4y + 5

b)

6xy + 7

c)

6x + 2y + 5

d)

10xy + x + 2y

99.

Which expression represents the area of the rectangle?

a)

12x - 2

b)

12x - 1

c)

8x - 2

d)

36x² - 2

100.

Evaluate the expression:
15f - 60 if f = 5

a)

15

b)

95

c)

30

d)

-45

101.

Applying the distributive property to the expression, 24x + 18y, will produce which equivalent expression?

a)

3(8x + 6y)

b)

3xy(8 + 6)

c)

6(4x + 3y)

d)

6(4 + 3y)

102.

What is a math teachers favorite tree?

a)

geomeTRY!

b)

This is a bad joke

c)

But I laughed

103.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

104.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

105.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

106.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

107.

Determine if a triangle can be formed with the following side lengths. 40ft, 46ft, 81ft

a)

yes

b)

no

c)

sometimes

108.

Determine if a triangle can be formed with the following side lengths. 8yd, 14yd, 24yd

a)

yes

b)

no

c)

sometimes

109.

Determine if a triangle can be formed with the following side lengths. 20m, 40m, 60m

a)

yes

b)

no

c)

sometimes

110.

Can the following set of angles form a triangle? 100°, 50°, 30°

a)

yes

b)

no

c)

sometimes

111.

Can the following set of angles form a triangle? 50°, 32°, 95°

a)

yes

b)

no

c)

sometimes

112.

Predict the length of the third side of a triangle whose known sides are lengths are:

10m and 15m. HINT: Remember add and subtract to determine what the range is.

a)

$10<x<15$

b)

$5<x<25$

c)

$15<x<25$

d)

none of the above

113.

Predict the length of the third side of a triangle whose known sides are lengths are: 4cm and 6cm

a)

$4<x<6$

b)

$6<x<10$

c)

$2<x<10$

d)

none of the above

114.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

115.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

116.

The formula for the circumference of a circle is...

a)

$C\ =\ \pi d$

b)

$C\ =\ \pi$

c)

$C\ =\ \pi r$

d)

$C\ =\pi r^2$

117.

The formula for finding the area of a circle is...

a)

$A\ =\ \pi d$

b)

$A\ =\ \pi$

c)

$A\ =\pi r$

d)

$A\ =\pi r^2$

118.

What is the diameter of this circle?

a)

8cm

b)

16cm

c)

10cm

d)

4cm

119.

What is the radius of this circle?

a)

18in

b)

36in

c)

9in

d)

6in

120.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

121.

Find the circumference of the circle

a)

87.82in

b)

153.86in

c)

43.96in

d)

307.72in

122.

Find the area of the circle

a)

43.96 units²

b)

153.86 units²

c)

87.82 units²

d)

307.72units²

123.

What is the area of this circle?

a)

452.39 cm²

b)

139.12 cm²

c)

113.1 cm²

d)

84.23 cm²

124.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

125.

A jar lid has a diameter of 32 millimeters. What is the circumference of the lid to the nearest tenth?

a)

100.5 mm

b)

96.3 mm

c)

115.6 mm

d)

69.9 mm

126.

The radius of Michael’s basketball rim is 8 inches. What is the circumference to the nearest hundredth?

a)

25.12 in

b)

50.27 in

c)

12.56 in

d)

48.15 in

127.

The diameter of Joanne’s bicycle wheel is 18 inches. What is the circumference to the nearest tenth?

a)

28.3 in

b)

27 in

c)

56.5 in

d)

54 in

128.

The circular fountain in front of the library has a radius of 8.8 feet. What is the circumference of the fountain to the nearest tenth?

a)

55.3 ft

b)

26.4 ft

c)

48.8 ft

d)

27.6 ft

129.

If the word problem is asking you to find the space inside the circle, which formula should you use?

a)

r = d/2

b)

d = 2r

c)

C = πd

d)

A = πr²

130.

If the problem ask you to find the distance around a circle, which formula should you use?

a)

r = d/2

b)

d = 2r

c)

C = πd

d)

A = πr²

131.

Which formula would you use to answer: Lauren's bicycle tire has a diameter of 20 inches. How many inches is one full revolution of the wheel?

a)

$P\ =\ 2l\ +\ 2w$

b)

$A\ =\ \pi r^2$

c)

$A\ =\ \frac{1}{2}bh$

d)

$C\ =\ \pi d$

132.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

133.

Supplementary angles always add up to

(a)

134.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

135.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

136.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

137.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

138.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

139.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

140.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

141.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

142.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

143.

Find the surface area of the Cylinder

(a)

144.

A cylindrical carton of oatmeal has a diameter of 9 cm and is 20 cm tall. Find the Volume Use 3.14 for π. DO NOT ROUND!

(a)

145.

Surface area units should be _____.

a)

squared

b)

cubed

c)

exponent

d)

the exact same as in the problem

146.

Calculate the Volume.

(a)

147.

What is the surface area of this figure?

(a)

148.

Find the Surface Area of the triangular prism.

(a)

149.

Find the Volume of the figure:

(a)

150.

And for our final review: Statistics and probability!

a)

Woo!

b)

Thank goodness!

c)

These questions are statistically impossible

151.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

152.

What is the Theoretical Probablility of landing on red?

a)

43%

b)

33.3%

c)

40%

d)

36%

153.

In a cup are the numbers 1 - 20. Find the theoretical probability of
picking an even number.

a)

10/20

b)

1/2

c)

1/20

d)

20/20

154.

Roberto wants to know the favorite sport of adults in his hometown. He surveys 50 adults at a baseball game. Is this random or biased sampling?

a)

Random

b)

Biased

155.

What does "mean" mean?

a)

average

b)

middle

c)

repeats the most

d)

variation

156.

What does "mode" mean?

a)

average

b)

middle

c)

repeats the most

d)

variation

157.

What is a the meaning for "median"?

a)

fair share

b)

middle

c)

repeats the most

d)

variation

158.

Find the mode of these numbers:
4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

159.

Which restaurant has a higher median wait time?

a)

Lucy's Steakhouse

b)

Gary's Grill

c)

They are the same

160.

A bag contains 4 red marbles, 7 blue marbles and 5 green marbles. what is the Theoretical probability of NOT choosing a red marble if the answer was to be simplified.

a)

4/16

b)

3/16

c)

3/4

d)

12/16

161.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

162.

On a 6-sided die, which is more likely?

a)

Rolling an odd number

b)

Rolling an even number

c)

They are all equally likely.

d)

Rolling a prime number

163.

Which inference can be drawn based on the results?

a)

More students prefer football than basketball

b)

More students prefer soccer than football and basketball combined

c)

More students prefer basketball than soccer

d)

Most students prefer swimming

164.

a)

A

b)

B

c)

C

d)

D

165.

a)

A

b)

B

c)

C

d)

D

166.

a)

A

b)

B

c)

C

d)

D

167.

If you spun the spinner 1 time, what is the probability it would land on a black piece?

a)

1 / 7

b)

2 / 7

c)

3 / 7

d)

4 / 7

168.

A type of probability that describes what actually happens for an event.

a)

theoretical probability

b)

experimental probability

c)

outcome

d)

odds

169.

The possible results of an action

a)

odds

b)

experimental probability

c)

outcome

d)

probability

170.

A type of probability that describes what should happen for an event.

a)

experimental probability

b)

theoretical probability

c)

odds

d)

probability

171.

And that completes your 7th grade review! How do you feel?

a)

Tired

b)

Mathalicious

c)

Unbothered

d)

Great!

7th Grade End of the Year Math FEST!

Total questions: 171

Worksheet time: 7hrs 23mins

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