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Worksheets

Maths Y9 Xmas Revision

Total questions: 160

Worksheet time: 5hrs 38mins

Name
Class
Date
1.

What are the first 5 binary numbers?

a)

1, 10, 11, 100, 101

b)

1, 11, 111, 100, 110

c)

1, 10, 11, 101, 111

d)

1, 10, 100, 101, 110

2.

If 1000 in binary represents 8 in decimal, what binary numbers represent 9, 10, and 11?

a)

1001, 1010, 1011

b)

1100, 1110, 1111

c)

1001, 1011, 1111

d)

1001, 1010, 1100

3.

What binary number comes after 110011 ?

a)

110100

b)

110111

c)

110101

d)

1100110

4.

What binary number comes after 1111 ?

a)

11110

b)

1000

c)

10000

d)

1110

5.

What binary number comes after 10110 ?

a)

10111

b)

11000

c)

10101

d)

11001

6.

What is the decimal equivalent to 10101 ?

a)

21

b)

28

c)

42

d)

13

7.

What is the decimal equivalent to 11000 ?

a)

24

b)

48

c)

18

d)

14

8.

What is the binary equivalent to 7?

a)

111

b)

101

c)

1001

d)

1111111

9.

How many bits are in a byte?

a)

1

b)

2

c)

4

d)

8

10.

How many different values can be represented with 1 byte?

a)

1

b)

8

c)

16

d)

256

11.

Suppose binary numbers are used to represent each uppercase and lowercase letter plus 12 symbols for a total of 64 different characters. How many bits are necessary to represent all 64 different characters?

a)

64 bits

b)

6 bits

c)

4 bits

d)

8 bits

12.

In binary, what is the value of 010 + 110 ?

a)

1000

b)

1100

c)

111

d)

1010

13.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
14.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
15.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
16.
Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
17.
You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?
a)
20 rides
b)
30 rides
c)
40 rides
d)
50 rides
18.

Means multiply by 2 or twice as much.

a)

add

b)

half

c)

triple

d)

double

19.

What does one-third mean?

a)

multiply by 3

b)

add 3

c)

divide by 3

d)

subtract 3

20.

The answer to a division equation.

a)

sum

b)

difference

c)

product

d)

quotient

21.

What does one half mean?

a)

multiply by 2

b)

divide by 2

c)

add 2

d)

subtract 2

22.
12 less than a number
a)
n – 12
b)
12 – n
23.
The product of 8 and a number
a)
8n
b)
8 + n
24.
The quotient of 8 and a number
a)
n ÷ 8
b)
8 ÷ n
25.
11 less than a number
a)
11 - n
b)
n - 11
c)
n/11
d)
11/n
26.
The quotient of a number and 8
a)
8 ÷ g
b)
g ÷ 8
c)
8g
d)
g8
27.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
28.
Five times Mike's age, increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
29.
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
30.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
31.

Solve for variable x in the following equation:


11 = 3x + 8x

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

32.

Solve:

2.1n5.31=182.1n-5.31=18  



(a)  

33.

Solve for the unknown variable:

x+5=8x+5=8  



(a)  

34.

Solve for the unknown variable:

m+9=2m+9=2  

(a)  

35.

8r = 32

a)

4

b)

318

c)

24

d)

40

36.

3n = 39

a)

117

b)

36

c)

12

d)

13

37.

Solve  23x=4\frac{2}{3}x=-4  

a)

-12

b)

12

c)

6

d)

-6

38.

4x+1=9

a)

1

b)

2

c)

3

d)

4

39.

5x+3=53

a)

5

b)

10

c)

12

d)

14

40.

7x-2=12

a)

2

b)

4

c)

7

d)

12

41.
Solve
a)
x=-1
b)
x=-5
c)
x=5
d)
x=1
42.
Solve:
a)
x=4
b)
x=4/3
c)
x=-4
d)
x=1
43.
Solve for x. 
2x + 1 = 3x + 1 - x
a)
x = 0
b)
x = 1
c)
No Solution
d)
Infinite Solutions
44.
Solve for x. 
5x - 10 = x + 6
a)
No solution
b)
x = 1
c)
x = 2
d)
x = 4
45.
Solve for x. 
5(x + 1) = 5x + 2
a)
x = 5
b)
x = 1
c)
No solution
d)
Infinite solutions
46.
Solve for x.
3x + 2 = 6x - 7
a)
x = 9
b)
x = 3
c)
x = -3
d)
x = 7
47.
Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?
a)
3 years old
b)
7 years old
c)
57 years old
d)
63 years old
48.
-9 + x = 3 
a)
x  = -12
b)
x = 6
c)
x = 0
d)
x = 12
49.
5 = -x
a)
x= 0
b)
x = 5
c)
x = -5
d)
x = 1
50.
-10 = - 1/2 x
a)
x = 12
b)
x =20
c)
x= -5
d)
x = 5
51.
-7 = x -8
a)
x = 1
b)
x = -1
c)
x = 15
d)
x = 56
52.
1/5 x = 5
a)
x = 0
b)
x = -5
c)
x = 1
d)
x = 25
53.
x - 6 = -4
a)
x = -10
b)
x = 2
c)
x = -2
d)
x = 10
54.
-12 = 6 + x
a)
x = -6
b)
x = -18
c)
x = 18
d)
x = 14
55.
x/4 + 9 = 11
a)
8
b)
2
c)
.5
d)
-8
56.

What is the reciprocal of 78\frac{7}{8}  ?

a)

1

b)

1416\frac{14}{16}  

c)

87\frac{8}{7}

d)

78\frac{7}{8}

57.

What is the reciprocal of  2 142\ \frac{1}{4}  ?

a)

94\frac{9}{4}

b)

49\frac{4}{9}  

c)

2 412\ \frac{4}{1}  

d)

4 124\ \frac{1}{2}

58.

225\frac{22}{5}  is the reciprocal of ____________?

a)

1

b)

4 254\ \frac{2}{5}

c)

It has no reciprocal

d)

522\frac{5}{22}

59.

What is the reciprocal of 2?

a)

1

b)

12\frac{1}{2}

c)

21\frac{2}{1}

d)

22\frac{2}{2}

60.

A reciprocal is also known as what vocabulary term? (CLUE: remember in the video it taught you that reciprocals apply to the INVERSE PROPERTY OF MULTIPLICATION).

a)

upside down

b)

flip

c)

inverse

d)

same

61.

What is the inverse (or opposite) operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

62.

Find the reciprocal of 711\frac{7}{11}  

a)

1 17\frac{1}{7}  

b)

1111\frac{11}{11}  

c)

117\frac{11}{7}  

d)

77\frac{7}{7}  

63.

Find the reciprocal of 11

a)

111\frac{11}{1}

b)

1111\frac{11}{11}

c)

1 111\frac{1}{11}

d)

111\frac{1}{11}

64.

Find the reciprocal of 221\frac{22}{1}  

a)

122\frac{1}{22}  

b)

221\frac{22}{1}  

c)

2211\frac{22}{11}  

d)

2 12\frac{1}{2}  

65.

Find the reciprocal of 72\frac{7}{2}  

a)

27\frac{2}{7}  

b)

3 12\frac{1}{2}  

c)

2 x 7

d)

7 x 2

66.

What is the last name of your 6th Grade Math teacher?

a)

Molina

b)

Handal

c)

Irías

d)

Medina

67.

What is 2 + 2 ? (BTW, love you guys and have a resting vacation!)

a)

5

b)

0

c)

Mrs. Ale, why did you ask that?

d)

4

68.

34\frac{3}{4}  

a)

34\frac{3}{4}  

b)

34-\frac{3}{4}  

c)

43\frac{4}{3}  

d)

43-\frac{4}{3}  

69.

43\frac{4}{3}  

a)

43\frac{4}{3}  

b)

43-\frac{4}{3}  

c)

34\frac{3}{4}  

d)

34-\frac{3}{4}  

70.

25-\frac{2}{5}  

a)

25\frac{2}{5}  

b)

25-\frac{2}{5}  

c)

52\frac{5}{2}  

d)

52-\frac{5}{2}  

71.

52\frac{5}{2}  

a)

52\frac{5}{2}  

b)

52-\frac{5}{2}  

c)

25\frac{2}{5}  

d)

25-\frac{2}{5}  

72.

56\frac{5}{6}  

a)

56\frac{5}{6}  

b)

56-\frac{5}{6}  

c)

65\frac{6}{5}  

d)

65-\frac{6}{5}  

73.

85\frac{8}{5}  

a)

85\frac{8}{5}  

b)

85-\frac{8}{5}  

c)

58\frac{5}{8}  

d)

58-\frac{5}{8}  

74.

79-\frac{7}{9}  

a)

79\frac{7}{9}  

b)

79-\frac{7}{9}  

c)

97\frac{9}{7}  

d)

97-\frac{9}{7}  

75.

34-\frac{3}{4}  

a)

34\frac{3}{4}  

b)

34-\frac{3}{4}  

c)

43\frac{4}{3}  

d)

43-\frac{4}{3}  

76.

43-\frac{4}{3}  

a)

43\frac{4}{3}  

b)

43-\frac{4}{3}  

c)

34\frac{3}{4}  

d)

34-\frac{3}{4}  

77.

25\frac{2}{5}  

a)

25\frac{2}{5}  

b)

25-\frac{2}{5}  

c)

52\frac{5}{2}  

d)

52-\frac{5}{2}  

78.

58-\frac{5}{8}  

a)

85\frac{8}{5}  

b)

85-\frac{8}{5}  

c)

58\frac{5}{8}  

d)

58-\frac{5}{8}  

79.

97\frac{9}{7}  

a)

79\frac{7}{9}  

b)

79-\frac{7}{9}  

c)

97\frac{9}{7}  

d)

97-\frac{9}{7}  

80.

65-\frac{6}{5}  

a)

56\frac{5}{6}  

b)

56-\frac{5}{6}  

c)

65\frac{6}{5}  

d)

65-\frac{6}{5}  

81.

ab\frac{a}{b}  

a)

ab\frac{a}{b}  

b)

ab-\frac{a}{b}  

c)

ba\frac{b}{a}  

d)

ba-\frac{b}{a}  

82.

applebanana-\frac{apple}{banana}  

a)

applebanana-\frac{apple}{banana}  

b)

applebanana\frac{apple}{banana}  

c)

bananaapple\frac{banana}{apple}  

d)

bananaapple-\frac{banana}{apple}  

83.

applebanana\frac{apple}{banana}  

a)

applebanana-\frac{apple}{banana}  

b)

applebanana\frac{apple}{banana}  

c)

bananaapple\frac{banana}{apple}  

d)

bananaapple-\frac{banana}{apple}  

84.

tiktok\frac{tik}{tok}  

a)

toktik\frac{tok}{tik}  

b)

toktik-\frac{tok}{tik}  

c)

tiktok\frac{tik}{tok}  

d)

tiktok-\frac{tik}{tok}  

85.

MarsSaturn-\frac{Mars}{Saturn}  

a)

MarsSaturn\frac{Mars}{Saturn}  

b)

SaturnMars\frac{Saturn}{Mars}  

c)

MarsSaturn-\frac{Mars}{Saturn}  

d)

SaturnMars-\frac{Saturn}{Mars}  

86.

dogcat\frac{dog}{cat}  

a)

dogcat-\frac{dog}{cat}  

b)

catdog-\frac{cat}{dog}  

c)

dogcat\frac{dog}{cat}  

d)

catdog\frac{cat}{dog}  

87.

StevensLindsey-\frac{Stevens}{Lindsey}  

a)

StevensLindsey\frac{Stevens}{Lindsey}  

b)

StevensLindsey-\frac{Stevens}{Lindsey}  

c)

LindseyStevens-\frac{Lindsey}{Stevens}  

d)

LindseyStevens\frac{Lindsey}{Stevens}  

88.

The number of books and the price

a)

True

b)

False

89.

The distance travelled by an object moving at a constant speed and the time taken for the journey

a)

True

b)

False

90.

The speed of a vehicle and the time taken to travel a certain distance

a)

True

b)

False

91.

The length of a side of a square and its perimeter

a)

True

b)

False

92.

The length of a side of a square and its area

a)

True

b)

False

93.

The number of people needed to finish a task and the number of days taken for it

a)

True

b)

False

94.

The number of units of electricity consumed by a household and a monthly bill

a)

True

b)

False

95.

A recipe requires 3 eggs to make 7 cookies. How many eggs will be needed to make 14 cookies?

(a)  

96.

A recipe requires 4 cups of sugar to make 8 cookies. How many cups of sugar will be needed to make 24 cookies?

(a)  

97.

A recipe for pastry requires 180g of sugar to make 540g of pastry. How many grams of sugar will be needed to make 5400g of pastry?

(a)  

98.

A recipe for pastry requires 160g of sugar to make 320g of pastry. How many grams of sugar will be needed to make 40g of pastry?

(a)  

99.

A bottling machine makes 60 bottles in 11 hours. How many bottles will it make in 16 hours?

(a)  

100.

A bottling machine makes 60 bottles in 5 hours. How many bottles will it make in 3 hours?

(a)  

101.

After 35 games of a football season, Manchester United won 14 games and lost 21 games. At this rate, how many games will they win in a 54 game season?

(a)  

102.

If Jesse walks 6 miles in 91 minutes, how many miles will he walk in 110 minutes?

(a)  

103.

If Jesse walks 6 miles in 91 minutes, how many miles will he walk in 110 minutes?

(a)  

104.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

18

c)

60

d)

50

105.

Solve the proportion

a)

4

b)

6

c)

9

d)

44

106.
Identify whether the given relation is Direct or Indirect Proportion?
The number of workers on a job and the time to complete the job
a)
Direct Proportion
b)
Indirect Proportion 
107.
Identify whether the given relation is Direct or Indirect Proportion?
Area of cultivated land and the crop harvested 
a)
Director Proportion
b)
Indirect Proportion
108.
If x and y are in an inverse variation then which of the following is correct?
a)
x - y = constant
b)
x + y = constant
c)
xy = constant 
d)
x⁄y is constant 
109.
If x and y are in an direct variation then which of the following is correct?
a)
x - y = constant
b)
x + y = constant
c)
xy = constant 
d)
x⁄y is constant 
110.
a)
10
b)
12
c)
15
d)
20
111.
a)
a)
b)
b)
c)
c)
d)
d)
112.
A farmer has enough food to feed 20 animals at his farm for 6 days.  How long the food lost if there were 10 more animals in the farm>
a)
5 days
b)
4 days
c)
6 days
d)
3 days
113.
x and y very inversely.  When x = 15 then y = 6.  What will be the value when x = 9?
a)
10
b)
15
c)
54
d)
135
114.
6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in _______ minutes
a)
100 
b)
174
c)
144
d)
108
115.
Say 'TRUE' or 'FALSE'
The population of a country and the area of land per person are inversely proportional
a)
TRUE
b)
FALSE
116.

Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.

a)

0.44

b)

81

c)

23

d)

9

117.

The amount a store earns varies directly as the number of hours. A local store takes in $11,500 in a 4 hour period. Estimate how many hours it would take the store to earn $23,000

a)

2 hours

b)

8 hours

c)

11,504 hours

d)

66,125,000 hours

118.

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

a)

-1

b)

5.8

c)

11

d)

99

119.

The number of apples sold varies directly as the cost. If 4 apples cost $0.45, find the cost of 12 apples.

a)

$1.35

b)

$106.67

c)

$0.45

d)

$0.15

120.

Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.

a)

1.07

b)

15

c)

26

d)

60

121.

The size of a box varies directly as its mass. A 20 cubic centimeter box has a mass of 40 kg. What is the size of the box if the mass is 100 kg.

a)

8 cubic centimeters

b)

50 cubic centimeters

c)

80 cubic centimeters

d)

200 cubic centimeters

122.

Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.

a)

0.1

b)

90

c)

153

d)

250

123.

On a scale, yards vary directly as feet. If 3 feet represent 30 yards, how many yards represent 5 feet.

a)

0.5 yards

b)

18 yards

c)

32 yards

d)

50 yards

124.

Suppose y varies directly as x. If y = -4 when x = 32, find x when y = -0.375.

a)

0.05

b)

3

c)

27.6

d)

341.3

125.

The number of books sold varies directly as the cost of the books. If 8 books cost $10.40, how many books can be bought for $32.50?

a)

25 books

b)

30 books

c)

32 books

d)

42 books

126.

Suppose y varies directly as x. If x = 15 when y = 12, find x when y = 21.

a)

8.57

b)

16.8

c)

24

d)

26.25

127.

The number of days worked varies directly as the amount earned. If a woman earns $805 for 7 days, how many days does she have to work to earn $1840?

a)

16 days

b)

1042 days

c)

20171 days

d)

211600 days

128.

Suppose y varies directly as x. If y = -7 when x = -14, find x when y = 10.

a)

-5

b)

3

c)

9.8

d)

20

129.

Suppose y varies directly as x. If y = 3 when x = 15, find x when y = 5.

a)

25

b)

17

c)

9

d)

1

130.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
131.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
132.
The equation 
xy =  25  represents:
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
133.
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
a)
300
b)
75
c)
1,875
d)
12
134.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
135.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
136.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
137.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
138.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 
a)
$394
b)
$443.25
c)
$472.80
d)
$512.20
139.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
140.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
141.
Is this a direct variation?
y=2x
a)
yes
b)
no
142.

Which table represents a direct variation?

a)
b)
c)
d)
143.

Which equation represents an inverse variation?

a)

y=3x+5y=-3x+5

b)

y=2xy=-2x

c)

y=x8y=\frac{x}{8}

d)

y=8xy=\frac{8}{x}

144.

Which equation represents a direct variation?

a)

y=12x+5y=-\frac{1}{2}x+5

b)

y=2xy=-2x

c)

xy=25xy=25

d)

y=3xy=\frac{3}{x}

145.

Y varies directly to x. If y = 16 when x = 4, which equation represents this situation?

a)

y=14xy=\frac{1}{4}x

b)

y=12xy=12x

c)

y=4xy=4x

d)

y=64xy=64x

146.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
147.
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
a)
14
b)
10
c)
2
d)
-14
148.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
149.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither
150.

The number of pechay plants n in a row varies inversely as the space s between them.

a)

n=ksn=\frac{k}{s}  

b)

k=snk=\frac{s}{n}  

c)

k=snk=sn  

d)

n=ksn=ks  

151.

The number of persons n needed to do a job varies inversely as the number of days d to finish the job.

a)

n=dkn=dk  

b)

n=dkn=\frac{d}{k}  

c)

n=kdn=\frac{k}{d}  

d)

k=dnk=dn  

152.

The density d of air varies inversely as the volume v of water in the atmosphere.

a)

k=dvk=dv  

b)

d=vkd=\frac{v}{k}  

c)

d=kvd=kv  

d)

d=kvd=\frac{k}{v}  

153.

If xx varies inversely as yy  and y=3y=3   when x=4x=4 , find yy  when x=6x=6 .

(a)  

154.

If rr varies inversely ss  and r=100r=100 when s=27s=27 , find the value of rr when s=24s=24 .

(a)  

155.

If yy varies inversely as xx and y=2y=-2 when x=8x=-8 , find xx  when y=2y=2 .

(a)  

156.

If ww varies inversely as yy  and w=2w=2   when y=3y=3 , find ww   when y=6y=6 .

(a)  

157.

The number of days needed in repairing a house varies inversely as the number of men working. It takes 15 days for 2 men to repair the house. How many men are needed to complete the job in 6 days?

(a)  

158.

Two college students decided to rent an apartment near the school where they are studying. The nearest and cheapest apartment costs Php 5,000 a month, which they find too much for their monthly budget. How many students will they need to share the rent with so that each will pay only Php 1,250 a month?

(a)  

159.

At 60 kilometers per hour it takes Loida 10 hours to travel from her house to their house in the province. How long will it take her if she travels at 80 kilometers an hour?

(a)  

160.
When dealing with direct and inverse variation, the K represents what?
a)
Kangaroo
b)
K-Mart's Blue Light Special
c)
Constant
d)
King Cobra Snake