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Worksheets

MATH 7 HOPE REVIEWER

Total questions: 65

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

What is the area of a square?

a)

A = s+s

b)

A = 2s

c)

A= S2

d)

A = L x W

2.

What is the formula in getting the area of a rectangle?

a)

A= s²

b)

A = L x W

c)

A-1 + w

d)

A = S + L + W

3.

How many pyramids are needed to form a rectangular prism?

a)

1

b)

2

c)

3

d)

4

4.

Combining three square pyramids forms a ___________?

a)

rectangular prism

b)

cylinder

c)

cube

d)

triangular prism

5.

Given the square pyramid with a volume of 96 cubic meters and a side of 6 meters, what is its height?

a)

8 m²

b)

8 m

c)

6 in

d)

6 m

6.

A pyramid has a rectangular base. The length of the base is 4 dm and its width is 2 dm. If the height of the pyramid is 120 cm, what is its volume?

a)

3,200 dm³

b)

32dm³

c)

302 dm³

d)

3.2 dm³

7.

Given the rectangular pyramid, What is its volume?

a)

120 m3

b)

1200 m3

c)

12,000 m3

d)

1.2 m3

8.

What is the height of the given pyramid?

a)

5 cm

b)

6 cm

c)

30 cm

d)

3 cm

9.

Given the square pyramid, solve for the volume.

a)

50 m3

b)

500 m3

c)

5000 m3

d)

5 m3

10.

What is the number sentence in solving the volume of the square pyramid?

a)

V = (5cm)2(6cm)3\frac{\left(5cm\right)^2\left(6cm\right)}{3}

b)

V = (5cm)(6cm)3\frac{\left(5cm\right)^{ }\left(6cm\right)}{3}

c)

V = (6cm)2(5cm)3\frac{\left(6cm\right)^2\left(5cm\right)}{3}

d)

V = (6cm)(5cm)3\frac{\left(6cm\right)\left(5cm\right)}{3}

11.

Solve for the volume of the rectangular pyramid.

a)

V = 173.33 cm3

b)

V = 171.33 cm3

c)

V = 1733.33 cm3

d)

V = 1730.33 cm3

12.

Find the volume of the square pyramid, if its base edge is 12m and its height is 17m.

a)

V = 81.6 m3

b)

V = 816 m3

c)

V = 81.4 m3

d)

V = 82.3 m3

13.

What is the value of the π?

a)

3 . 14

b)

3. 41

c)

2.61

d)

3.6

14.

What is the radius of the cylinder?

a)

6 ft

b)

4 ft

c)

10 ft

d)

5 ft

15.
Estimate the volume.
a)
163in3
b)
18in3
c)

282.6in3

d)
324in3
16.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V =  ⅓πr²h
d)
V =  ⅓LWH
17.

What is the base of the cylinder?

a)

rectangle

b)

square

c)

circle

d)

triangle

18.

Which of the following refers to the amount of space taken up or occupied by an object or that is enclosed within a container?

a)

Mass

b)

Area

c)

Volume

d)

Surface area

19.

These are numbers that cannot be written as a quotient of two integers p and q where q ≠ 0.

a)

rational numbers

b)

irrational numbers

c)

integers

d)

whole numbers

20.

Numbers whose square roots are rational are called ____________ .

a)

rational number

b)

radicand

c)

index

d)

Perfect squares

21.

Which of the following is NOT a rational number?

a)


11\sqrt{11}

b)

0.49\sqrt{0.49}

c)

81\sqrt{81}

d)

144\sqrt{144}

22.

What is the estimated value of π?

a)

6

b)

3.14

c)

9

d)

2.54

23.

Are rational and irrational numbers both real numbers?

a)

yes

b)

sometimes

c)

maybe

d)

no

24.
√100
a)
15
b)
10
c)
11
d)
12
25.
√16
a)
4
b)
8
c)
2
d)
9
26.
√49
a)
5
b)
3
c)
6
d)
7
27.
√9
a)
3
b)
6
c)
4
d)
1
28.
√225
a)
1
13
b)
16
c)
18
d)
15
29.
The √16 is 4 because 4×4=16. 
a)
true
b)
false
30.
72
a)
50
b)
49
c)
14
d)
48
31.
92
a)
81
b)
18
c)
79
d)
11
32.
12
a)
1
b)
0
c)
10
d)
2
33.
32
a)
12
b)
5
c)
6
d)
9
34.

Which point best represents √47?

a)

C

b)

A

c)

D

d)

B

35.

Estimate the square root to the nearest tenths.

a)

1.8

b)

1.7

c)

1.73

d)

1.74

36.

Estimate the square root to the nearest tenths.

a)

3.2

b)

3.1

c)

3.0

d)

3.16

37.

Estimate the square root to the nearest hundredths.

a)

9.34

b)

9.32

c)

9.33

d)

9.35

38.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

39.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
40.
1 meter = _______ cm
a)
1
b)
1,000
c)
100
d)
400
41.
4 cm = ___mm
a)
400
b)
40
c)
4
d)
4,000
42.

190 km = ___m

a)

190

b)

190,000

c)

19

d)

19,000

43.
12m = ___mm
a)
12,000
b)
120
c)
1,200
d)
120,000
44.
Convert 8 kilometers to meters
a)
800 m
b)
80,000 m
c)
8,000 m
d)
.008 m
45.
42 L = ___mL
a)
4,200
b)
.0042
c)
4.20
d)
42,000
46.

If P = {a, e, i, o, u} then choose three items which are true .

a)

a P

b)

b P

c)

i P

d)

g ∉ P

47.
Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?
a)
Q = { S, T, R }
b)
Q = { I, E }
c)
Q = { S, I, S, T, E, R }
d)
Q = { S, I, T, E, R }
48.

Which of the following is the symbol for null set?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

49.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

\forall

d)

A'

50.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

51.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

52.

The shaded part of this image shows the ______

a)

Intersection of set A and set B

b)

Union of set A and set B

c)

Universal set

d)

Neither set A nor set B

53.

The shaded part of this image shows the ______

a)

Intersection of set A and set B

b)

Union of set A and set B

c)

Universal set

d)

Neither set A nor set B

54.

The members of Set A are

a)

{8, 10, 13, 17}

b)

{2, 5, 19}

c)

{2, 5, 9, 15, 19}

d)

{8, 9, 10, 13, 15, 17}

55.

The members of Set A ⋂ B are

a)

{9, 15}

b)

{2, 5, 9, 15, 19}

c)

{8, 9, 10, 13, 15, 17}

d)

{2, 5, 8, 9, 10, 13, 15, 17, 19}

56.

The members of Set A  B are

a)

{9, 15}

b)

{2, 5, 9, 15, 19}

c)

{8, 9, 10, 13, 15, 17}

d)

{2, 5, 8, 9, 10, 13, 15, 17, 19}

57.

The members of Set P  Q are

a)

{3, 9, 15}

b)

{6, 12, 18}

c)

{2, 4, 8, 10, 14, 16}

d)

{2, 3, 4, 6, 8, 10,12}

58.


Q={3,5,7,9}Q=\left\{3,5,7,9\right\}R={2,4,6,7}R=\left\{2,4,6,7\right\}  

Find  QRQ\cap R  

a)

{2,7}

b)

{5}

c)

{6,7)

d)

{7}

59.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is A  BA\ \cap\ B  ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

60.

A = { 1,2,3,4,5,6}

B= { 2,3,8,10,12}


find A - B

a)

{2,3}

b)

{1,4,5,6,}

c)

{1,3,4}

d)

{2,4,6}

61.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

62.

What is the only number that is a whole number, but not a natural number?

a)

-4

b)

0

c)

3

d)

5.3

63.

Are all of the following numbers integers? 8, 5, 100, 0, 105-8,\ 5,\ \sqrt{100},\ 0,\ \frac{10}{5}  

a)

yes

b)

no

64.

True or false: ALL fractions are Rational

a)

true

b)

false

65.

Which best describes the classification for the number 1?

a)

Whole Number

b)

Integer

c)

Rational

d)

All of the above