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Grand Test Practice Grade VII

Total questions: 140

Worksheet time: 4hrs 48mins

Name
Class
Date
1.

What does "evaluate" mean in math?

a)

write a number using exponents

b)

a mathematical phrase involving at least one variable and sometimes numbers and operation symbols

c)

breaking down a composite number until all of the factors are prime

d)

substitute any values given for the variable and work through the Order of Operations.

2.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
3.

Evaluate 7y - 3y for y=2

a)

20

b)

73

c)

8

d)

4

4.
Solve the following equation,
x + 7 = 28
a)
x = 35
b)
x = 4
c)
x = 196
d)
x = 21
5.
Solve the following equation,
x - 23 = 17
a)
-6
b)
6
c)
40
d)
-40
6.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
7.

Simplify this expression....

a)

5y

b)

y

c)

21y

d)

3y + 2y

8.

Simplify this expression....

a)

5a + 7b

b)

12ab

c)

7a + 5b

d)

5a7b

9.

Simplify this expression....

a)

6x2 + 8x

b)

8x2 + 6x

c)

14x3

d)

14x2

10.

Convert fraction to a decimal

1/2

(a)  

11.
Solve for the variable.
4.9 = 0.7m 
a)
7
b)
-7
c)
2
d)
5
12.
Solve for the variable.
-2.8 = 4b
a)
0.7
b)
-0.7
c)
1.43
d)
-1.43
13.

What is the formula to find the area of a trapezoid?

a)

sum of all sides divided by height

b)

(1/2) * (sum of parallel sides) * (height)

c)

sum of all sides multiplied by height

d)

difference of parallel sides multiplied by height

14.

If the length of one side of a square is 5 cm, what is the area of the square?

a)

25 square cm

b)

30 square cm

c)

20 square cm

d)

10 square cm

15.

What is the formula to find the area of a parallelogram?

a)

Area = base - height

b)

Area = base * height

c)

Area = base / height

d)

Area = base + height

16.

If the base of a triangle is 8 cm and the height is 6 cm, what is the area of the triangle?

a)

24 square cm

b)

10 square cm

c)

48 square cm

d)

14 square cm

17.

What is the area of this rectangle?

a)

29 in2

b)

58 in2

c)

180 in2

18.

What is the value of the base (b) of this triangle?

a)

5 m

b)

10 m

c)

32 m

d)

160 m

19.

What is the area of this parallelogram?

a)

6 units2

b)

10 units2

c)

12 units2

d)

16 units2

20.

Find and solve the missing dimension of this parallelogram:

Area = 49m2

Base = 7m

Height = ?

a)

7m

b)

42m

c)

343m

21.

Find the area of the rectangle.

a)

400 m2

b)

420 m2

c)

441 m2

22.

What is the area of this parallelogram?

a)

20 units2

b)

28 units2

c)

35 units2

23.

What is the area of this triangle?

a)

12 cm2

b)

24 cm2

24.

What is the area of this triangle?

a)

54 cm2

b)

108 cm2

25.
Greyson and Preston have a piece of paper that is 10 inches by 9 inches.  What is the area of the paper?
a)
100 sq. in.
b)
79 sq. in.
c)
90 sq. in.
d)
90 in.
26.
The area of a rectangle is 72 sq units.  One side length is 9 units.  What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
27.
Find the area. 
a)
88 inches2
b)
60 inches
c)
88 inches 
d)
60 inches2
28.
Find the area of the figure:
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
29.
Mrs. Payfer's desk is 3 feet by 2 feet.  What is the perimeter of her desk?
a)
10 feet
b)
10 square feet
c)
12 feet
d)
14 sq feet
30.
What is the perimeter?
a)
24 sq cm
b)
24 cm
c)
35 sq cm
d)
35 cm
31.

What is the perimeter of this square?

a)

7 cm

b)

14 cm

c)

21 cm

d)

28 cm

32.

A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?

a)

346 square yards

b)

346 yards

c)

173 yards

d)

240 yards

33.
The distance around an object is called the 
a)
area
b)
perimeter
34.
The space inside an object is called it's
a)
area
b)
perimeter
35.
If I needed to buy a new comforter for my bed, I would need to find the:
a)
area of the comforter
b)
perimeter of the comforter
36.
Fill in the blanks:
1 m² = ___________ cm²
a)
100
b)
10000
c)
1000
d)
500
37.
The sum of lengths of all sides of plane figure is called its____
a)
Area
b)
Perimeter
c)
Boundary
d)
None of the above
38.
The side of a square whose perimeter is 64 cm is __________
a)
32 cm
b)
8 cm
c)
16 cm
d)
12 cm
39.

6 km 435 m

a)

64,350 meters

b)

6,435 grams

c)

6,435 liters

d)

6,435 meters

40.

work out the area of this shape

a)

24cm224cm^2

b)

40cm240cm^2

c)

30cm230cm^2

41.

Find and solve the missing dimension of this parallelogram:

Area = 49m2

Base = 7m

Height = ?

a)

7m

b)

42m

c)

343m

42.

Find the area of the figure.

(a)  

43.

Find the are of the figure.

(a)  

44.

What is the formula to find an area of Trapezium?

a)

1/2 x (a + b) x h

b)

1/2 x b x h

c)

b x h

d)

bh

45.

Find the area of the parallelogram using the rule A = bh

a)

19 cm2

b)

99 cm2

c)

20 cm2

d)

100 cm2

46.

Find the area of the trapezium.

a)

100 ft2

b)

80 ft2

c)

90 ft2

d)

99 ft2

47.

What is the value of b, when the area of trapezium is 50 cm2; height is 5 cm and a is 14 cm?

a)

6 cm

b)

8 cm

c)

7 cm

d)

10 cm

48.

If a side of a cube is 5cm, find the volume of that cube.

a)

5cm³

b)

25cm³

c)

125cm³

d)

625cm³

49.

Find the volume of the cuboid.

a)

36cm

b)

36cm²

c)

36cm³

d)

36cm⁴

50.

If a wood volume was 1000cm³, and then a person cut the wood into 5 pieces, what was the volume with 2 small pieces?

a)

200cm³

b)

300cm³

c)

400cm³

d)

500cm³

51.

The cuboid is a box. If Diana wants to put a 2cm×2cm×2cm small cube, how many small cubes can fit in this box?

a)

168

b)

169

c)

170

d)

171

52.

If Cube P's length, height and width were 5cm, find the total volume of these two 3D shapes.

a)

205cm³

b)

206cm³

c)

207cm³

d)

208cm³

53.

What is the Surface Area?

a)

101.94 mm2

b)

110.94 mm2

c)

110.49 mm2

d)

101.49 mm2

54.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
55.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
56.

When finding Surface Area which type of units could be on the end of your answer?

a)

mm

b)

cm2

c)

in3

d)

ft4

e)

minion8

57.
Find the surface area of the rectangular prism with the following dimensions: 
length = 9 m
height = 10 m
width = 12 m
a)
630 m squared
b)
636 m squared
c)
710 m squared
d)
1080 m squared
58.

The Stem and Leaf shows how many Jumping Jacks students were able to complete in 3 minutes. What is the Median of this data?

a)

32

b)

35

c)

40

d)

20

59.

What is the mean of the data?

a)

32

b)

35

c)

40

d)

20

60.
How many total votes were collected?
a)
5
b)
10
c)
15
d)
20
61.
How many students like strawberries the best?
a)
2
b)
40
c)
20
d)
10
62.
What does each cookie equal?
a)
1 person
b)
2 people
c)
5 people
d)
10 people
63.

Which type of graph is a good way to show how data changes over time?

a)

bar graph

b)

line graph

c)

circle graph

d)

pie chart

64.

What is the independent variable on this graph?

a)

color

b)

M & M Colors

c)

Number of Candies

d)

0, 5, 10, 15, 20

65.

How many 4 legged animals are on this farm?

a)

29

b)

14

c)

33

d)

22

66.

on which 2 days were the least cars sold

a)

Monday and Tuesday

b)

Friday and Sunday

c)

Saturday and Wednesday

d)

Tuesday and Friday

67.

How many students voted?

a)

13

b)

26

c)

55

d)

42

68.

What time is the highest temperature?

a)

1 P.M.

b)

12 P.M.

c)

9 A.M

d)

10 A.M.

69.

With how much water did they start?

a)

60 ml

b)

50 ml

c)

40 ml

d)

30 ml

70.

How many min did it take to reach the deepest part?

a)

25 min

b)

10 min

c)

35 min

d)

30 min

71.

Which percentage of students likes hamsters?

a)

50%

b)

23%

c)

18%

d)

9%

72.

Which pet got the least number of votes?

a)

hamster

b)

cats

c)

turtle

d)

fish

73.

Which pie graph matches this table?

a)
b)
74.

Which of the following best describes the mode of a given set of data?

a)

The measure or value which occurs most frequently (repeated) in a set of data.

b)

The average of a set of data.

c)

The middle value of a set of data

d)

The difference of the highest and the lowest value of a set of data.

75.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
76.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.
What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
77.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
78.

The value of X in the table is

a)

32

b)

70

c)

35

d)

38

79.
How many tally marks?
a)
4
b)
5
c)
6
d)
1
80.
How many tally marks?
a)
6
b)
7
c)
8
d)
9
81.
How many tally marks?
a)
12
b)
13
c)
15
d)
2
82.

How many tally marks do you have on Monday?

a)

15

b)

20

c)

10

d)

12

83.

What is the value of these groups of tally marks?

a)

20

b)

29

c)

30

d)

40

84.

Set is a collection of objects which have

a)

Different properties

b)

Common properties

c)

Both of them

85.

The union of two or more sets is the set that contains __________ of both or all sets.

a)

Common elements

b)

Different elements

c)

All elements

86.

Name of a set is always written in

a)

Small letter

b)

Capital letter

c)

Both of them

87.

Empty set is also known as

a)

Null set

b)

Equivalent Set

c)

Single set

88.

The set of months of a year is an example of

a)

Proper set

b)

Infinite Set

c)

Finite set

89.

If A= { 1,2,3,5 } and B = { c,d,e,f } both the sets are called

a)

Singleton set

b)

Equal set

c)

Equivalent Set

90.

The symbol of intersection is

a)

∩\cap

b)

⊂\subset

c)

∪\cup

91.

If A = { 3,4,5,6} and B={ 4,5,8}, then A ∩\cap B is

a)

{ 4 , 5 }

b)

{  ϕ\phi  }

c)

{ 3,4,5,6,8}

92.

Identify the empty set from the sets given below

a)

{ }

b)

The set of prime numbers divisible by 3

c)

{ 10 }

93.

Identify the equal set from the sets given below

a)

A={ 3,5,9,11 } , B= { b,c,d,f }

b)

A= { a,b,c,d} , B= { e,f,g,h}

c)

A = { 2,4,6,8} , B ={ 4,8,2,6}

94.

{ x | x is a Marymount Student}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequality

95.

P={a, b, c, d, e, f, g, h, i, j, k, l,m}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

96.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

97.
Find n(A) when
A = {14, 16, 18, 20, 22, 24}
a)
6
b)
12
c)
4
d)
8
98.

Which of the following statements are true for the Venn diagram shown?

a)

Overlapping sets

b)

Subsets

c)

Disjoint sets

d)

Equal sets

99.

Which of the following statements are true for the Venn diagram shown?

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint sets

e)

B is a superset of A

100.

Determine if the following sets are:

a)

Subsets

b)

Equal sets

c)

Overlapping sets

d)

Disjoint sets

101.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

102.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
103.

Every set has _____ as one of its subsets (select all that apply.)

a)

∅

b)

0

c)

itself

d)

the real numbers

104.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

105.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

106.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
107.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

108.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

109.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

110.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
111.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

112.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
113.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

114.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to (A∪B)∩C\left(A\cup B\right)\cap C ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

115.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

116.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

117.

Set C is the set of whole numbers less than 9. Which of these is the correct C?

a)

C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

C = {1, 2, 3, 4, 5, 6, 7, 8}

d)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

118.

What does this symbol ∩\cap   represent in set theory?

a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
119.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
120.

Which of the following is the symbol for "element of"?

a)

∅

b)

⊂\subset  

c)

∈\in  

d)

⊄\not\subset  

121.

Identify what kind of set is being described below:


set of months with more than 31 days

a)

Empty Set

b)

Finite Set

c)

Infinite Set

122.

Identify what kind of set is being described below:


set of electrical appliances currently working in your house

a)

Empty Set

b)

Finite Set

c)

Infinite Set

123.

Identify what kind of set is being described below:


set of all currently enrolled students in Mother of Divine Providence School

a)

Empty Set

b)

Finite Set

c)

Infinite Set

124.

Identify what kind of set is being described below:


set of all living people with 10 hands

a)

Empty Set

b)

Finite Set

c)

Infinite Set

125.

Identify what kind of set is being described below:


set of odd numbers between 11 and 13

a)

Empty Set

b)

Finite Set

c)

Infinite Set

126.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
127.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
128.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
129.
A likely chance event is closer to what number?
a)
0
b)
1
c)
.5
d)
100
130.

Six of the 6 numbers are greater than 0. Spinning a number that is greater than 0 is...

a)

impossible

b)

unlikely

c)

as likely as not

d)

likely

e)

certain

131.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
132.
What is the probability of spinning the spinner and landing on the 7?
a)
impossible
b)
equally likely 
c)
unlikely 
d)
very likely 
133.
A probability near 1 is _______.
a)
never going to happen 
b)
very likely to happen
c)
probably never going to happen
d)
 equally likely to happen
134.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
135.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
136.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
7/26
c)
8/25
d)
1/3
137.

What is the probability of spinning a yellow, green, or blue?

a)

3/4

b)

1/12

c)

1/3

d)

1/16

138.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
139.
What is the probability of spinning a shade of blue?
a)
1/5
b)
2/5
c)
3/5
d)
4/6
140.

What is the sample space for the spinner?

a)

8

b)

6

c)

1,2,3,4,5,6,7,8

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138 questions

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Worksheet

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