Math Quiz for Grade 10

Polynomials of a variable

100

A polynomial with two terms is called:

Binomial

200

A polynomial with three terms is called:

 Trinomial

300

The zero of a polynomial p(x)=2x+5 is

p (0) =5

400

Let p(x)=2x+3 and q(x)=5x+3 

Calculate the polynomial p(x)*q(x) in a decreasing order is

10x^2-9x-8

500

Give the polynomial p(x)=x^2+1 and q(x)=3x^2+x+3.

 Calculate the polynomials p(x)-4q(x)

-11x^2-4x-11

Square root

100

Simplify :

  5√2+8 √2

13√2

200

Show that (√5-2)*(√5+2) is a rational number

 1

300

Simplify:  

  √((5,2)^2 ) and √81

5,2 and 9

400

Expand and write the simplest form

  A=(2-√11  )*(2+√11)

  B=(5-√3  )*(√3+5)

A=-7 and B=22

500

Show that the following numbers are integers

 A=(3√7)/(4-√7)+ (2-4√7)/3

A=3

Trigonometry in right ∆

100

Answer by true or false the following:

  sin⁡ 30°=1/2sin⁡60°

False

200

Answer by true or false the following:

  _{If cos angle( xoy) =0.2   then angle( xoy) =78.46°.}

True

300

Answer by true or false the following:

   x is an acute angle. If cos⁡x=0.8 then sin⁡x=0.36

False

400

Answer by true or false the following and justify:

    In the adjacent figure IN=2IE

^{In the right triangle ONI}

               ^{sin⁡40=IN/OI ⇒ OI=IN/sin⁡40} 

                ^{OI=IN×1.5625 ⋯⋯eq.1} 

^{In the right triangle OIE}

               ^{sin⁡20=IE/OI ⇒ OI=IE/sin⁡20} 

                ^{OI=IE×2.94 ⋯⋯eq.2} 

^{eq.1= eq.2}

^{IN×1.5625=IE×2.94}

^{IN=(IE×2.94)/1.5625}

^IN=IE×1.88

^{Thus: False}

500

Answer by true or false the following and justify:

     _{ABC is a right triangle at A such that BC=4 cm;angle(ABC)=35°,then cos angle(ABC)=0.91 and AB=3.45 cm}

_{cos angle(ABC )=cos35°=0.819≠0.91   F} 

_{cos angle(ABC)=AB/BC   ⟹   cos⁡35=AB/4}

_{AB=cos⁡35×4=0.8×4=3.27≠3.45} 

_{Thus: F}

First degree equation

100

_{Choose the correct answer:   A/B=0}

   _{a. A=0 or B=0}

    _{b. A=0 and B≠0}

    _{c. A=0 and B=0}

    _{d. A=0 or  B≠0}

  b. A=0 and B≠0

200

_{Choose the correct answer: (5x-5)/(x+1)=3}

     _{a. -4}

     _{b. R-{-1}}

     _{c. 4}

     _{d. ]-∞,+∞[}

 c. 4

300

^{Choose the correct answer:  |x-3|=-2}

    ^{a. 1}

    ^{b. {1,5}}

    ^{c. No solution}

    ^{d. 6}

b. {1,5}

400

_{Choose the correct answer:  x^2/(x^2+4)≤1}

     _{a. ∅}

     _{b. {-3}}

     _{c. [-2,2 ]}

     _{d. ]-∞,+∞[}

c. [-2,2 ]

500

_{Choose the correct answer:  (x+3)^2/(2x^2+3)≤0}

       _{a. ∅}

       _{b. ]-∞,+∞[}

       _{c. R-{-3}}

       _{d. {-3}}

a. ∅

Order on R Framing

100

Given a=√(21-8√5)  and b=√(21+8√5)  

  Calculate x=a+b

x=√(21-8√5)  + √(21+8√5)

200

Compare x= 6 √5    and y= 8√3  

y>X

300

Calculate x such that |x-3|≤ 1

-2≤x≤4

400

Given 2≤x≤5 and 4≤y≤8

   Calculate: x+y

6≤x+y≤13

500

Given 5/2 <x<3

   Frame 2x-5

-2<2x-5<0