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Worksheets

INTENSIVE 24/7 TOUR 1

Total questions: 131

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

Which of the followings is NOT correct?

a)

(x+a)(x+b)=x2+(a+b)x+ab\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab

b)

(a+b)3=a3+3a2b+3ab2+b3\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3

c)

(a+b)3=a3+3a2b3ab2+b3\left(a+b\right)^3=a^3+3a^2b-3ab^2+b^3

d)

(a+b+c)2=a2+b2+c2+2ab+2ac+2bc\left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc

2.

Which of the followings is CORRECT?

a)

a3+b3=(a+b)(a2ab+b2)a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)

b)

a3b3=(a+b)(a2abb2)a^3-b^3=\left(a+b\right)\left(a^2-ab-b^2\right)

c)

(a+b)3=a33a2b+3ab2b3\left(a+b\right)^3=a^3-3a^2b+3ab^2-b^3

d)

(ab)3=a3+2a2b2ab2+b3\left(a-b\right)^3=a^3+2a^2b-2ab^2+b^3

3.

 4x2(116x2)(4x1)2x3=4-\frac{x^2\left(1-16x^2\right)}{\left(4x-1\right)2x^3}=  

a)

 6+12x6+\frac{1}{2x}  

b)

 2+12x2+\frac{1}{2x}  

c)

 212x2-\frac{1}{2x}  

d)

 612x6-\frac{1}{2x}  

4.

Simplification shortcut:

1) Find ______________.

2) Choose the smallest possible number belonging to this ___________.

etc.

a)

domain

b)

root

c)

x

d)

replacement

5.

Fill in the blank.

The lowest (or least) common __________ of two or more numbers is the smallest number that they will all divide into exactly.

a)

multiple

b)

divide

c)

addition

d)

subtraction

6.

To find the lowest common multiple, systematically test the multiples of the ________ number until you find the first one that all the other numbers go into.

a)

largest

b)

lowest

c)

average

d)

smallest

7.

Find the lowest common multiple number of 6 and 8.

a)

24

b)

16

c)

48

d)

72

8.

Being able to find highest common factors is useful in many areas of mathematics, such as _________ and algebra.

a)

fractions

b)

functions

c)

geometry

d)

percent

9.

The highest common factor (HCF) of two or more numbers is the _________ whole number that divides exactly into them.

a)

largest

b)

smallest

c)

lowest

d)

average

10.

What is the HCF of the three numbers 5, 20 and 25?

a)

5

b)

20

c)

25

d)

15

11.

A recurring decimal is one in which a single digit, or a group of digits, is endlessly __________.

a)

repeated

b)

divided

c)

multiplied

d)

shortened

12.

If the decimal has a single digit that repeats, place a dot above the ____________ digit.

a)

repeating

b)

shortened

c)

multiple

d)

endless

13.

When the repeating pattern contains two or more digits, place a dot above the ______________ digits in the pattern.

a)

first and last

b)

first

c)

last

d)

first and second

14.

The number of decimal places in a terminating decimal indicates the number of zeros in the _____________ when it is converted to fraction form.

a)

denominator

b)

nominator

15.

There are three methods for converting recurring decimals to fractions are shown below:

a)

calculator method

b)

using denominators of 999

c)

using nominators of 999

d)

algebraic method

16.

For a whole number that ends in zeros, you need extra information about how that number was rounded before determining how many significant figures it has.

a)

TRUE

b)

FALSE

17.

Zeros at the ____ of a decimal are significant.

a)

end

b)

beginning

18.

_______________ is used to approximate a number to a value that is easier to use but close to the real value.

a)

Truncating

b)

Rounding off

c)

Trailing zeros

d)

Rounding decimals

19.

_______________ cuts off part of the number's value.

a)

Truncating

b)

Rounding off

c)

Trailing zeros

d)

Rounding decimals

20.

Two directly ________________ quantities increase or decrease at the same rate; for example, if one doubles, so does the other.

a)

proportional

b)

constant

c)

variable

d)

rounding

21.

The value of y is inversely proportional to x.

If y =20 when x=8, find y when x=10/

a)

16

b)

12

c)

8

d)

24

22.

As the denominator of a fraction gets bigger, the value of the fraction itself gets ___________.

a)

smaller

b)

bigger

c)

higher

23.

You can use ___________________ to write very large and very small numbers.

a)

standard form

b)

rounding off

c)

truncating

d)

hyperbola

24.

5 780 000 000 =

a)

5.78 ×1095.78\ \times10^9

b)

5.78 ×1085.78\ \times10^8

c)

5.78 ×10105.78\ \times10^{10}

d)

5.78 ×10115.78\ \times10^{11}

25.

0.0000006123 =

a)

6.123 ×1076.123\ \times10^{-7}

b)

6.123 ×1086.123\ \times10^{-8}

c)

6.123 ×1096.123\ \times10^{-9}

d)

6.123 ×1066.123\ \times10^{-6}

26.

 (4×105)×(2×107)=\left(4\times10^5\right)\times\left(2\times10^7\right)=  

a)

 8×10128\times10^{12}  

b)

 6×10116\times10^{11}  

c)

 6×10126\times10^{12}  

d)

 6×10136\times10^{13}  

27.

Exponents are ________________ when divided.

a)

subtracted

b)

multiplied

c)

added

d)

divided

28.

 (9.42×105)+(4.1×105)=\left(9.42\times10^5\right)+\left(4.1\times10^5\right)=  

a)

 7.5 ×1037.5\ \times10^3  

b)

 6.8 ×1026.8\ \times10^2  

c)

 5.4 ×1035.4\ \times10^3  

d)

 8.2 ×1038.2\ \times10^3  

29.

To increase a certain number by p%, just multiply it by ____________________

a)

coefficient

b)

denominator

c)

nominator

d)

percent

30.

Money that is invested with a financial institution for a fixed length of time (or term) earns ____________.

a)

percent

b)

interest

c)

investment

d)

deposit

31.

Choose the correct answer

a)

Simple interest = principal x rate x time

b)

Principal = simple interest x rate x time

c)

Rate = simple interest x principal x time

d)

Time = simple interest x principal x rate

32.

Aruzhan invests $1000 for 4 years at 6% pa. Calculate the interest of Aruzhan earns on her investment.

a)

$240

b)

$280

c)

$320

d)

$160

33.

Aidana invests $5000 for 3 years at 6.75% pa. Find the balance at the end of the term.

a)

$ 6012.50

b)

$ 5987.60

c)

$ 5586.40

d)

$ 5203.70

34.

Which of the followings is TRUE?

a)

Money put into a bank is called a deposit and is credited to your account.

b)

Money put into a bank is called a withdrawal and is credited to your account.

c)

Money put into a bank is called a deposit and is debited to your account.

d)

Money put into a bank is called a withdrawal and is debited to your account.

35.

Which of the followings is TRUE?

a)

Money taken out of an account is called a withdrawal and is debited from the account.

b)

Money taken out of an account is called a deposit and is debited from the account.

c)

Money taken out of an account is called a withdrawal and is credited from the account.

d)

Money taken out of an account is called a deposit and is credited from the account.

36.

Compound interest is added to the _______________ at the end of each investment period

a)

principal

b)

rate

c)

time

d)

interest

37.

Compound interest is added to the principal at the end of each investment period. For the next period, interest is calculated on this new amount giving you ____________ on your interest.

a)

principal

b)

rate

c)

time

d)

interest

38.

Find the correct formula where

P is the principal

R is the interest rate for each period

A is the amount of the final balance

n is the total number of periods

a)

A=P(1+R)nA=P\left(1+R\right)^n

b)

A=n(1+R)PA=n\left(1+R\right)^P

c)

P=A(n+1)RP=A\left(n+1\right)^R

d)

R=P(1+A)nR=P\left(1+A\right)^n

39.

Calculate how much $7500 accrues to if it is invested at4 %pa compounded annually for 5 years.

a)

$ 9124.90

b)

$ 9343.30

c)

$ 8854.50

d)

$ 9435.80

40.

To calculate compound interest the R (rate) and n (number of periods) must both relate to the ___________ period.

a)

same

b)

different

c)

average

d)

quarterly

41.

Paul has a classic car valued at $80,000 which is increasing in value at the rate of 412% pa4\frac{1}{2}\%\ pa   .


What will the car be worth in 10 years to the nearest pound?

a)

$ 124 238

b)

$ 156 435

c)

$ 176 235

d)

$ 165 432

42.

When a quantity grows in a fixed proportion (or percentage) a regular intervals, the growth is _______________.

a)

exponential

b)

proportional

c)

appreciated

d)

exceptional

43.

Andrew invested $200 at a compound interest rate of 5% per annum. How much was Andrew's investment worth after 5 years?

a)

$255.26

b)

$253.78

c)

$261.56

d)

$218.20

44.

When an item decreases in value, it is said to have _________________.

a)

depreciated

b)

appreciated

c)

increased

d)

decreased

45.

Depreciation acts like ___________________, but in reverse.

a)

compound interest

b)

exponential growth

c)

simple interest

d)

investments

46.

Choose the correct answer

a)

y=a(1+r)xy=a\left(1+r\right)^x

b)

a=y(1+r)xa=y\left(1+r\right)^x

c)

y=r(1+a)xy=r\left(1+a\right)^x

d)

y=x(1+r)ay=x\left(1+r\right)^a

47.

Depreciation

Find the correct formula where

R is the interest rate for each period

V is the final value of the item

n - is the total number of periods

P is the total number of periods

a)

V=P(1R)nV=P\left(1-R\right)^n

b)

P=R(1V)nP=R\left(1-V\right)^n

c)

R=V(1P)nR=V\left(1-P\right)^n

d)

n=R(1P)Vn=R\left(1-P\right)^V

48.

When a population decreases over time, the decrease is called (a)   .

49.

The general formula for exponential decay is

a)

y=a(1r)ny=a\left(1-r\right)^n

b)

a=r(1y)na=r\left(1-y\right)^n

c)

r=y(1n)ar=y\left(1-n\right)^a

d)

n=r(1a)yn=r\left(1-a\right)^y

50.

If the base has a factor that is a square number, the surd can be rewritten with a simpler base. This is often called (a)   the surd.

51.

Simplify
 x2y5\sqrt{x^2y^5}  

a)

 xy2yxy^2\sqrt{y}  

b)

 y2x\sqrt{y^2x}  

c)

 x2xyx^2\sqrt{xy}  

d)

 xyyxy\sqrt{y}  

52.

In some situations, it is convenient to include the (a)   under the radical sign.

53.

It is conventional to express a fractional surd so that it has a (a)   denominator.

54.

Rationalize the denominator of  325\frac{\sqrt{3}}{2\sqrt{5}}  

a)

 52\frac{\sqrt{5}}{2}  

b)

 1525\frac{\sqrt{15}}{25}  

c)

 1510\frac{\sqrt{15}}{10}  

d)

 235\frac{2\sqrt{3}}{\sqrt{5}}  

55.

(a)   surds have the same root and the same base.

56.

When adding or subtracting, only collect (a)   surds.

57.

Simplify 211×532\sqrt{11}\times5\sqrt{3}   

a)

 103310\sqrt{33}  

b)

 13313\sqrt{3}  

c)

 10310\sqrt{3}  

d)

 133313\sqrt{33}  

58.

Simplify 15y73y\frac{15\sqrt{y^7}}{3\sqrt{y}}   

a)

 5y35y^3  

b)

 3y63\sqrt{y^6}  

c)

 15y15\sqrt{y}  

d)

 5y3\sqrt{5y^3}  

59.

(a)   means "two numbers" or "two terms"

60.

Expand (5+37)(67)\left(5+3\sqrt{7}\right)\left(6-\sqrt{7}\right)   

a)

 9+1379+13\sqrt{7}  

b)

 9+79+\sqrt{7}  

c)

 13+9713+9\sqrt{7}  

d)

 7+9137+9\sqrt{13}  

61.

Expand (5+37)(67)\left(5+3\sqrt{7}\right)\left(6-\sqrt{7}\right)   

a)

 5414554-14\sqrt{5}  

b)

 54554-\sqrt{5}  

c)

 1454514-54\sqrt{5}  

d)

 54+14554+14\sqrt{5}  

62.

The expression (x+y)\left(x+\sqrt{y}\right)   is the (a)   of  (xy)\left(x-\sqrt{y}\right)  

63.

 Find the product of


 (23)\left(\sqrt{2}-\sqrt{3}\right)  and its conjugate.

a)

 1-1  

b)

 2 +62\ +\sqrt{6}  

c)

 6+66+\sqrt{6}  

d)

 66  

64.

To rationalize the denominator of 


 1a+b\frac{1}{a+\sqrt{b}}  
multiply the (a)   and denominator by the conjugate of the denominator.

65.

Write 

 15+2\frac{1}{\sqrt{5}+\sqrt{2}}  with a rational denominator

a)

 523\frac{\sqrt{5}-\sqrt{2}}{3}  

b)

 105+2\frac{\sqrt{10}}{5+2}  

c)

 5210\frac{\sqrt{5}-\sqrt{2}}{10}  

d)

 5+23\frac{\sqrt{5}+\sqrt{2}}{3}  

66.

Numbers with the same base but with indices opposite in sign are (a)   .

67.

Write

 515^{-1}  as a simple fraction

a)

 15\frac{1}{5}  

b)

5

c)

 15\frac{1}{\sqrt{5}}  

d)

 5\sqrt{5}  

68.

Write 

 19\frac{1}{9}  in index form.

a)

 323^{-2}  

b)

 9\sqrt{9}  

c)

 323^2  

d)

 99  

69.

When raising a term with an index to another power, (a)   the indices.

70.

When multiplying terms with the same base, (a)   the powers.

71.

When dividing terms with the same base, (a)   the second power from the first power.

72.

A (a)   is a way of comparing quantities that are measured in the same units.

73.

Write one word for both.

The (a)   in a ration is important. Changing the order changes the result.

74.

To compare ratios, it is often useful to write them in the form 1:n. This is called a (a)   ratio.

75.

The smallest possible value of the true measurement is called its lower bound and the largest, its upper bound. The (a)   interval shows both the upper and lower bounds and the difference between them.

76.

(a)   variables can only take certain values, for example, numbers of people can only be whole numbers.

77.

When a measurement has been (a)   , the true value must be equal to or larger than the recorded value.

78.

Objects have many different (a)   you can measure such length, area, mass, volume, capacity, density and lifespan.

79.

The metric system is a (a)   system.

80.

Prefixes in the metric system represent (a)   of ten.

81.

hecto means

a)

one hundred

b)

one hundredth

c)

one thousand

d)

one thousandth

82.

IF ax = b

 ab  x=baa\ne b\ \rightarrow\ x=\frac{b}{a}\rightarrow  

a)

unique solution

b)

no solution

c)

infinitely many solutions

83.

 ax = b

 a=0, b 0; 0 × x a=0,\ b\ \ne0;\ 0\ \times\ x\ \rightarrow 

a)

unique solution

b)

no solution

c)

infinitely many solutions

84.

 ax = b

 a=0, b 0; 0 × x a=0,\ b\ \ne0;\ 0\ \times\ x\ \rightarrow 

a)

unique solution

b)

no solution

c)

infinitely many solutions

85.

 ax = b

 a=0, b =0  0 × x =0; x ϵ R a=0,\ b\ =0\ \rightarrow\ 0\ \times\ x\ =0;\ x\ \epsilon\ R\ \rightarrow 

a)

unique solution

b)

no solution

c)

infinitely many solutions

86.

 a1a2b1b2 \frac{a_1}{a_2}\ne\frac{b_1}{b_2}\ \rightarrow  

a)

system has unique solution

b)

system has no solutions

c)

system has infinitely many solutions

87.

 a1a2=b1b2c1c2 \frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}\ \rightarrow  

a)

system has unique solution

b)

system has no solutions

c)

system has infinitely many solutions

88.

 a1a2=b1b2=c1c2 \frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\ \rightarrow  

a)

system has unique solution

b)

system has no solutions

c)

system has infinitely many solutions

89.

ODD ONE OUT

a)

sampling

b)

discriminant

c)

viet's rule

d)

completing the square

e)

pythagorean theorem

90.

In discriminant, if D > 0, ....

a)

two roots

b)

no root

c)

one root

91.

In discriminant, if D < 0, ....

a)

two roots

b)

no root

c)

one root

92.

In discriminant, if D = 0, ....

a)

two roots

b)

no root

c)

one root

93.

Equation forms.

Standard form -

a)

ax2 + bx + c = 0ax^2\ +\ bx\ +\ c\ =\ 0

b)

ax2 + bx + c = a (x x1)(xx2)ax^2\ +\ bx\ +\ c\ =\ a\ \left(x\ -x_1\right)\left(x-x_2\right)

c)

ax2 + bx + c = (xq)2+qax^2\ +\ bx\ +\ c\ =\ \left(x-q\right)^2+q

94.

Equation forms.

Roots' form -

a)

ax2 + bx + c = 0ax^2\ +\ bx\ +\ c\ =\ 0

b)

ax2 + bx + c = a (x x1)(xx2)ax^2\ +\ bx\ +\ c\ =\ a\ \left(x\ -x_1\right)\left(x-x_2\right)

c)

ax2 + bx + c = (xq)2+qax^2\ +\ bx\ +\ c\ =\ \left(x-q\right)^2+q

95.

Equation forms.

Vertex form -

a)

ax2 + bx + c = 0ax^2\ +\ bx\ +\ c\ =\ 0

b)

ax2 + bx + c = a (x x1)(xx2)ax^2\ +\ bx\ +\ c\ =\ a\ \left(x\ -x_1\right)\left(x-x_2\right)

c)

ax2 + bx + c = (xq)2+qax^2\ +\ bx\ +\ c\ =\ \left(x-q\right)^2+q

96.

Distance Formula

a)

(x2x1)2(y2y1)2\ \sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}

b)

(x2x1)(y2y1)\ \sqrt{\left(x_2-x_1\right)^{ }-\left(y_2-y_1\right)^{ }}

c)

(x1+x22;y1+y22a)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2a}\right)

d)

(x1+x22;y1+y22)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2}\right)

e)

tanα =y2y1x2x1\tan\alpha\ =\frac{y_2-y_1}{x_2-x_1}

97.

Midpoint Formula

a)

(x2x1)2(y2y1)2\ \sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}

b)

(x2x1)(y2y1)\ \sqrt{\left(x_2-x_1\right)^{ }-\left(y_2-y_1\right)^{ }}

c)

(x1+x22;y1+y22a)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2a}\right)

d)

(x1+x22;y1+y22)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2}\right)

e)

tanα =y2y1x2x1\tan\alpha\ =\frac{y_2-y_1}{x_2-x_1}

98.

Slope

a)

(x2x1)2(y2y1)2\ \sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}

b)

(x2x1)(y2y1)\ \sqrt{\left(x_2-x_1\right)^{ }-\left(y_2-y_1\right)^{ }}

c)

(x1+x22;y1+y22a)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2a}\right)

d)

(x1+x22;y1+y22)\left(\frac{x_1+x_2}{2};\frac{y_1+y_2}{2}\right)

e)

tanα =y2y1x2x1\tan\alpha\ =\frac{y_2-y_1}{x_2-x_1}

99.

 y=ax2+bx+cy=ax^2+bx+c  

a is -----?

a)

leading coefficient

b)

second coefficient

c)

free term

100.

 y=ax2+bx+cy=ax^2+bx+c  

b is -----?

a)

leading coefficient

b)

second coefficient

c)

free term

101.

 y=ax2+bx+cy=ax^2+bx+c  

c is -----?

a)

leading coefficient

b)

second coefficient

c)

free term

102.

A function that is formed by the composition of two or more elementary functions is called a

a)

composite function

b)

linera function

c)

quadratic function

d)

inverse function

103.

Linear function
Form:

f(x) = ax + b
Inverse?

a)

 f1(x)=xbaf^{-1}\left(x\right)=\frac{x-b}{a}  

b)

 f1(x)=x+baf^{-1}\left(x\right)=\frac{x+b}{a}  

c)

 f1(x)=bxaf^{-1}\left(x\right)=\frac{b-x}{a}  

d)

 f1(x)=abxf^{-1}\left(x\right)=\frac{a-b}{x}  

e)

 f1(x)=a+bxf^{-1}\left(x\right)=\frac{a+b}{x}  

104.

Rational function
Form:
 f(x)=ax+bcx+df\left(x\right)=\frac{ax+b}{cx+d} 
Inverse?

a)

 f1(x)=dx+bcxaf^{-1}\left(x\right)=\frac{-dx+b}{cx-a}  

b)

 f1(x)=dx+bcxaf^1\left(x\right)=\frac{-dx+b}{cx-a}  

c)

 f1(x)=dx+bcx+af^{-1}\left(x\right)=\frac{-dx+b}{cx+a}  

d)

 f1(x)=dxbcx+af^{-1}\left(x\right)=\frac{-dx-b}{cx+a}  

e)

 f1(x)=cx+adxbf^{-1}\left(x\right)=\frac{-cx+a}{dx-b}  

105.

Pythagorean triple

a)

3-4-5

b)

6-7-8

c)

10-12-14

d)

1-2-3

106.

Area of triangle. Which one is INCORRECT?

a)

A=12abA=\frac{1}{2}ab

b)

A=12bccosαA=\frac{1}{2}bc\cos\alpha

c)

A=12bcsinαA=\frac{1}{2}bc\sin\alpha

d)

A=12base×heightA=\frac{1}{2}base\times height

107.

Formula of the radius of prescribed circle

a)

R =a+b+c2R\ =\frac{a+b+c}{2}

b)

R =c2R\ =\frac{c}{2}

c)

R=a+bc2R=\frac{a+b-c}{2}

d)

R=c22R=\frac{c-2}{2}

108.

 sin α =\sin\ \alpha\ =   

a)

 oppositeadjacent\frac{opposite}{adjacent}  

b)

 oppositehypotenuse\frac{opposite}{hypotenuse}  

c)

 adjacentopposite\frac{adjacent}{opposite}  

d)

 hypotenuseopposite\frac{hypotenuse}{opposite}  

109.

 tg α =tg\ \alpha\ =   

a)

 oppositeadjacent\frac{opposite}{adjacent}  

b)

 oppositehypotenuse\frac{opposite}{hypotenuse}  

c)

 adjacentopposite\frac{adjacent}{opposite}  

d)

 hypotenuseopposite\frac{hypotenuse}{opposite}  

110.

 ctg α =\operatorname{ctg}\ \alpha\ =   

a)

 oppositeadjacent\frac{opposite}{adjacent}  

b)

 oppositehypotenuse\frac{opposite}{hypotenuse}  

c)

 adjacentopposite\frac{adjacent}{opposite}  

d)

 hypotenuseopposite\frac{hypotenuse}{opposite}  

111.

Triangle is right isosceles, a = 3, b = 3, what is c?

a)

333\sqrt{3}

b)

3\sqrt{3}

c)

33

d)

323\sqrt{2}

112.

Triangle is right isosceles, a = 5, b = 5, c = ?

a)

535\sqrt{3}

b)

5

c)

50\sqrt{50}

d)

252\sqrt{5}

113.

Theorem of external angle

a)

γ=α+β\gamma=\alpha+\beta

b)

γ=αβ\gamma=\alpha-\beta

c)

γ=180 α+β\gamma=180\ -\alpha+\beta

d)

γ=180(α+β)\gamma=180-\left(\alpha+\beta\right)

114.

If triangle is equilateral, find area.

a)

a232\frac{a^2\sqrt{3}}{2}

b)

a236\frac{a^2\sqrt{3}}{6}

c)

a33\frac{a\sqrt{3}}{3}

d)

a234\frac{a^2\sqrt{3}}{4}

115.

If triangle is equilateral, find area.

a)

a232\frac{a^2\sqrt{3}}{2}

b)

a36\frac{a\sqrt{3}}{6}

c)

a33\frac{a\sqrt{3}}{3}

d)

a234\frac{a^2\sqrt{3}}{4}

116.

If triangle is equilateral, find the height.

a)

 a32\frac{a\sqrt{3}}{2} 

b)

a36\frac{a\sqrt{3}}{6}

c)

a33\frac{a\sqrt{3}}{3}

d)

a234\frac{a^2\sqrt{3}}{4}

117.

If triangle is equilateral, find the radius of prescribed circle.

a)

 a32\frac{a\sqrt{3}}{2} 

b)

a36\frac{a\sqrt{3}}{6}

c)

a33\frac{a\sqrt{3}}{3}

d)

a234\frac{a^2\sqrt{3}}{4}

118.

Formula of circumference

a)

C=2πRC=2\pi R

b)

C=πR2C=\pi R^2

c)

C=2πR2C=2\pi R^2

d)

C=4πR2C=4\pi R^2

119.

Area of sector

a)

A=2πR2α360A=2\pi R^2\cdot\frac{\alpha}{360}

b)

A=πR2α180A=\pi R^2\cdot\frac{\alpha}{180}

c)

A=πR2α360A=\pi R^2\cdot\frac{\alpha}{360}

d)

A=2πRα360A=2\pi R\cdot\frac{\alpha}{360}

120.

Central angle is

a)

Half of internal angle

b)

90

c)

two times internal angle

d)

half of sector

121.

The angle between radius and tangent?

a)

180

b)

90

c)

360

d)

270

122.

Formula of the sum of internal angles

a)

180(n-2)

b)

360(n-2)

c)

180(2-n)

d)

360(2-n)

123.

What is NOT true about tangents of circle?

a)

TRT\perp R

b)

T=TT=T

c)

TDT\perp D

d)

T=RT=R

124.

Cos rule:

a)

a2=b2+c22bccosαa^2=b^2+c^2-2bc\cdot\cos\alpha

b)

c2=b2+a22bccosαc^2=b^2+a^2-2bc\cdot\cos\alpha

c)

b2=a2+c22abcosαb^2=a^2+c^2-2ab\cdot\cos\alpha

d)

a2=b2c2+2bccosαa^2=b^2-c^2+2bc\cdot\cos\alpha

125.

Median rule: at the intersection point, ...

a)

medians are divided in proportion to 2 to 1 starting from vertex

b)

medians are divided in proportion to 2 to 1 starting from vertex

c)

medians are multiplied in proportion to 2 to 1 starting from vertex

d)

medians are divided in proportion to 2 to 3 starting from vertex

126.

Bisector rule (sides of triangle a,b,c)

a)

xa=yb\frac{x}{a}=\frac{y}{b}

b)

ax=yb\frac{a}{x}=\frac{y}{b}

c)

xc=ay\frac{x}{c}=\frac{a}{y}

d)

ya=xc\frac{y}{a}=\frac{x}{c}

127.

Area of parallelogram

a)

A=ahA=a\cdot h

b)

A=12ahA=\frac{1}{2}a\cdot h

c)

A=abA=a\cdot b

d)

A=12d1d2A=\frac{1}{2}d_1\cdot d_2

128.

Area of parallelogram

a)

A=a2haA=a^2\cdot h_a

b)

A=12a2sinαA=\frac{1}{2}a^2\cdot\sin\alpha

c)

A=a2sinαA=a^2\cdot\sin\alpha

d)

A=12d1d2A=\frac{1}{2}d_1\cdot d_2

129.

Diagonal of rectangle (sides are a,b)

a)

d=a2+b2d=\sqrt{a^2+b^2}

b)

d=a2b2d=\sqrt{a^2-b^2}

c)

d=a2+b2d=a^2+b^2

d)

d=a2b2d=a^2-b^2

130.

Diagonal of square

a)

a2a^2

b)

a2a\sqrt{2}

c)

2a2\sqrt{a}

d)

a2+b2\sqrt{a^2+b^2}

131.

What is common between Rhombus and Parallelogram?

a)

diagonals are bisect

b)

diagonals are perpendicular

c)

Area = 12d1d2Area\ =\ \frac{1}{2}d_1d_2

d)

All sides are equal