2021 Midyear Examination - Mathematics I

Write down all the factor of 18.

• 1, 2, 4, 8, 16

• 1, 2, 6, 9, 18

• 1, 2, 3, 6, 9

• 1, 2, 3, 6, 9, 18

Indicate the prime numbers between 40 and 50

• 40, 43 47

• 41, 43, 49

• 41, 43

• 41, 43, 47

Find the value of k, when:

 $126=2\times3^2\times k$  

• 567

• 28

• 7

• 3.5

Find the lowest common multiple (LCM) of 90 and 126.

• 504

• 540

• 630

• 378

Find the value of x, when:
 $t^x\times t^2=t^{10}$  

•  $x=20$  

•  $x=5$  

•  $x=8$  

•  $x=12$  

 $\left(\frac{4}{x}\right)^{-2}$  

Simplify:

•  $\frac{16}{x^2}$  

•  $\frac{x^2}{16}$  

•  $\frac{1}{\left(\frac{4}{x}\right)^2}$  

•  $\frac{1}{\left(\frac{16}{x^2}\right)}$  

Simplify:
 $a^3b^7\div a^6b^2$  

•  $a^3b^9$  

•  $\frac{b^5}{a^3}$  

•  $\frac{b}{a^3}$  

•  $a^{-3}b^9$  

Simplify fully the following expression:

 $\left(m^5\right)^2$  

•  $m^7$  

•  $m^{10}$  

•  $m^3$  

•  $2m^5$  

Simplify fully the following expression:

 $m^5\times m^2$  

•  $m^7$  

•  $m^{10}$  

•  $m^3$  

•  $2m^5$  

Simplify fully the following expression:

 $4x^3y\times5x^2y$ 

•  $20x^6y^2$ 

•  $4x^55y^2$ 

•  $20x^2y^5$ 

•  $20x^5y^2$