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Worksheets

Language Arts [JSA]

Total questions: 60

Worksheet time: 37mins

Name
Class
Date
1.

x-13=10-3

a)

25

b)

20

c)

56

d)

38

2.

 121\sqrt{121}  

a)

10

b)

12

c)

11

d)

9

3.

 6x22x\frac{6x^2}{2x}  

a)

0

b)

3

c)

3x

d)

 \infty  

4.

 x2+3x+2x^2+3x+2 

a)

(x+1)(x+2)

b)

4x

c)

4x+57

d)

(x+2)(x-1)

5.

 (x+1)2\left(x+1\right)^2  

a)

 x3x^3  

b)

 x2+1x^2+1  

c)

 x2+2x+1x^2+2x+1  

d)

 (x1)(x+1)\left(x-1\right)\left(x+1\right)  

6.

 3x+6=93x+6=9  

a)

2

b)

5

c)

1

d)

1.5

7.

 x34=2\sqrt{x^3-4}=2  

a)

3

b)

2

c)

4

d)

6

8.

 cos45=?\cos45=?  

a)

1

b)

 22\frac{\sqrt{2}}{2}  

c)

0

d)

 PiPi  

9.

A bat and a ball together cost $1.10, the bat is $1 more expensive than the ball. What are the prices of the bat and the ball respectively?

a)

$1 and $0.10

b)

$0.10 and $1

c)

$1.05 and $0.05

d)

1.00 and $0.01

10.

Gustavo leaves his house at 6:53am, it takes 2 hours and 35 minutes to go from his house to his working place. At what time does Gustavo arrive at his working place?

a)

9:28am

b)

9:18am

c)

9:08am

d)

9:38am

11.

In fifth grade you are taught a neat acronym that helps you to remember the order of operations in which you are supposed to operate no matter how complex the operations looks at first.Each letter of the acronym corresponds to a different operation,components of any ordinary operation are: multiplication, parenthesis, addition, division, subtraction, exponents.What the correct acronym that represents the right order of operation you should follow?.

a)

PEMASD

b)

SAMPED

c)

PEMDAS

d)

SEMPAD

12.

What is ten thousand one hundred and eleven plus nine hundred and nine?

a)

11010

b)

11020

c)

10210

d)

11120

13.

Fast question

3X+6=9

a)

2

b)

5

c)

1

d)

1.5

14.

The average of the sum of ages in a family of ten integrants is 25 years.How much will the average be if 8 years pass, and exactly in 8 years a baby is born in the family(for simplicity the baby's age will be considered 0)?

a)

33

b)

31

c)

30

d)

It cant be calculated

15.

Angel sells his chickens at a rate of 20 per day, he initially has two thousand chickens in his farm. How much time would it take for him to sell all of his animals ?

a)

200 days

b)

100 days

c)

50 days

d)

150 days

16.

Caligula´s farm consists of chickens and cows.He has in total 80 animals and if you sum up the number of legs of each animal it adds up to 220.How many chickens and cows does Caligula have respectively?

a)

50 and 30

b)

60 and 20

c)

40 and 40

d)

70 and 10

17.

Reltih got his dreams crushed when he got rejected from the Bogota Academy of Fine Arts, but he didn't lose hope, he worked day and night relentlessly and on 22 March 1933 he opened his first of many soap making factories.Each new passing year 3 more factories were built.How many factories were made when Relith died in 1973 ?

a)

120

b)

118

c)

123

d)

117

18.

Find the derivative of sin

a)

Cosine

b)

tangent

c)

secant

d)

cosecant

19.

 3x5x23x-5x^2  Find the derivate

a)

-10x - 3

b)

10x + 3

c)

-3x + 10

d)

- 10x + 3

20.

Find the derivative of e^x

a)

1

b)

x

c)

e^x

d)

e

21.

 1x\frac{1}{x}  Find the derivate 

a)

Tangent

b)

Cosecant

c)

Secant

d)

ln x

22.

 f(x)=lnx f\left(x\right)=\ln x\   Find it´s derivate

a)

ln x * ´x

b)

1/x

c)

x^2 * ln x

d)

ln x

23.

What do you use to find the slope of a graph ?

a)

Guessing

b)

Integral

c)

Derivative

d)

None of the above

24.

What do you use to find the area inside the curve ?

a)

Derivative

b)

Geometric approximation

c)

Integral

d)

Human sacrifice

25.

What is the domain of the function f(X)= √4-x^2

a)

[-2,2]

b)

(-2, \infty )

c)

[-2, \infty )

d)

(-2,2)

26.

If you follow the trajectory of a projectile(without the air resistance), you will find that it traces a parabolic function.A definition of derivative is rate of change.Knowing the two facts mentioned before, what can you tell about the acceleration?

a)

It changes

b)

It remains constant

c)

It doesn't have any acceleration

d)

More information is needed

27.

What topic corresponds to convergence and divergence?

a)

Parametric Curves

b)

Sequences and series

c)

Improper integrals

d)

Angles

28.

What shape is formed under any linear function with respect to the x-axis?

a)

Square

b)

Cone

c)

Triangle

d)

Trapezoid

29.

Aucallanchi had a dispute with his math teacher a about the mathematical definition of having the derivative of a certain polynomial function equal to zero.His math teacher states that if the derivative is zero,the function in that point does not exist, meanwhile Aucallanchi says that if the derivative equals to zero, it means that the point is a maximum or a minimum in the function.Who is right?

a)

The math teacher

b)

Aucallanchi

30.

How many holes does a straw have?

a)

0

b)

1

c)

2

d)

It doesn't have any holes

31.

Find The type of this angle

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

32.

Find The postulate of this triangle

a)

ALA

b)

LAL

c)

LLL

33.

The correct name of this regular polygon

a)

Nonagon

b)

Decagon

c)

Dodecagon

d)

Hexagon

34.

Which of these geometric figures are polygons?

a)

Square, point, rhombus

b)

Trapezoid, rhomboid, circunference

c)

Triangle, rhomboid, rectangle

d)

Triangle, Square, segment

35.

A straight line that begins in a point and finish in a point is:

a)

Straight line

b)

Half-straight

c)

Segment

36.

What is the general formula to find the amount of diagonals in a n-side polygon?

a)

n(n+1)/2

b)

n*n+2

c)

.n-1

d)

n(n-3)/2

37.

Gorbachov is a kind, but strange man, he has an irrational fear of rectangles.One day he entered your house and got spooked out, you searched and searched trying to find the reason, finally after hours of searching you find the culprit, your photo frame at the entrance of your homer. What could have possibly been the shape of the frame so that Gorbachov got spooked?

a)

kite

b)

Square

c)

Rhombus

d)

Triangle

38.

Wolfgang in order to renovate his house plans to paint all of his walls in an intense blue tone.He measures the dimensions of one of his rectangular walls, the measurements are:3 meters long and 2.5 meters high.If one bucket of paint is needed to cover 1.5 square meters,how many bucket of white paint will he need?

a)

5

b)

4

c)

6

d)

0

39.

What is the geometric definition of the fabulous number Pi?

a)

Circunference over radio

b)

Circumference over diameter

c)

Area over radio

d)

Area over diameter

40.

Which of the following figures are polyhedrons?

a)

I,IV, VI, VIII

b)

I,II,IV,V,VI

c)

I,II,VI,VIII

d)

II,III,V,VII

41.

These two angles form a ...

a)

Complementary Angle

b)

Supplementary Angle

42.

How many numbers of 5 digits can be formed with 1, 2, 3, 4, 5 ?

a)

30

b)

60

c)

120

d)

240

43.

How many different groups of 3 students can be formed with 10 students?

a)

120

b)

45

c)

60

d)

90

44.

In how many different ways can 4 friends sit around a table ?

a)

3

b)

6

c)

12

d)

2

45.

In how many different ways can 3 pairs of married people can sit around a table if lozano and mauricio, Ospina and simon, and chupita and luis need to be together?

a)

72

b)

64

c)

16

d)

32

46.

How many license plates can be formed if there are 2 spots for letters and 3 spots for numbers ? (Consider the 28 letters of the alphabet and the numbers from 1 to 9)

a)

571536

b)

738377

c)

738376

d)

748937

47.

How many license plates can be formed if there are 2 spots for letters and 3 spots for numbers? the first letter is C and the first number is 7 (Consider the 28 letters of the alphabet and the numbers from 1 to 9)

a)

5453

b)

2268

c)

5678

d)

3456

48.

How many license plates can be formed if there are 2 spots for letters and 3 spots for numbers ? The first letter is L and the number can be divided by 5 (Consider the 28 letters of the alphabet and the numbers from 0 to 9)

a)

20412

b)

5600

c)

6578

d)

212

49.

How many lunches can be done if the menu offers 2 starters, 3 main dishes and 3 different kinds of desserts ?

a)

8

b)

22

c)

12

d)

18

50.

How many lunches can be done if the menu offers 4 starters, 8 main dishes and 2 different kinds of desserts ?

a)

60

b)

34

c)

30

d)

64

51.

How many lunches can be done if the menu offers 3 starters, 12 main dishes and 7 different kinds of desserts ?

a)

240

b)

252

c)

250

d)

520

52.

Savchenko owns a cookie shop in downtown New York called SavchaCookiesStrukies, the shop if famous for their grand variety of options it offers, claiming they have 8 types of cookies.You, as a food journalist, wants to prove if that claim is true, so you enter the shop and see the different classes of batters and topping they offer.After your investigation you have these results:They offer wheat or granola flour and also they offer four topping separately:chocolate,nuts, powdered sugar and rasberries.You decide to do a little bit of math to check if their claim is true, your conclusion was:

a)

They are telling the truth

b)

They are lying

53.

Mr.Krabs is the proud owner of the Krusty Krabs, as a money fanatic he always checks the profits of the day.He starts by calculating the gains of the day, he does multiplying the number of burgers sold by their price, which in this case is 230 and $14.5 respectively,to that he subtracts the wages of Spongebob and Calamardo that come up being $10.7.How much net profit is Mr. Krabs getting or is he missing something in his method?

a)

$3320

b)

$3325

c)

Something is needed to be taken into account

d)

$3310

54.

What type of economic agents do you know?

a)

Industries, Public places and the State.

b)

Families and Jobs.

c)

Households, Businesses and the State.

55.

The factors of production...

a)

are the different conditions that the industry may has.

b)

are the resources used to produce goods and services.

c)

are the resources used to produce "green spaces" (such as parks, natural zones,...)

56.

What are the four types of "factor of production"?

a)

Land, Capital, Labor and Entrepreneurs.

b)

Wood, Iron, Money and Jobs.

c)

The State, the Households and the Businesses

57.

PRIMARY SECTOR...

a)

Makes, manufactures or builds things.

b)

Gets raws materials from nature.

c)

Transports and sells goods, or provides services.

58.

SECONDARY SECTOR...

a)

Makes, manufactures or builds things.

b)

Gets raws materials from nature.

c)

Transports and sells goods, or provides services.

59.

TERTIARY SECTOR...

a)

Makes, manufactures or builds things.

b)

Gets raws materials from nature.

c)

Transports and sells goods, or provides services.

60.

Which of these is not from the primary sector?

a)

Farming

b)

Mining

c)

Industry

d)

Forestry