WAG NA SANANG MADEPRESS

Marlou goes 59 km north, then 39 km east, then 35 km south, then 109 km west and finally 43√2 km northwest. How far is he now from his original position?

(a)  

Use hexadecimal number system (base 16) to represent quaternary number 1111222(base4).

(a)  

Find the average of the following number sequence: 258,161,56,265,168,63,272,175,70,…,2106,2009,1904,2113,2016,1911.

(a)  

30th September 2024 is Monday. Which day of the week will 26th October 2033 be?

(a)  

(a)  

Factorize 𝑥^2 − 12𝑥 − 16𝑦^2 −48𝑦.

(a)  

If 𝑚 and 𝑛 are the distinct roots of 𝑥^2 − 11𝑥 + 36 = 0, find the value of 𝑚^3 + 𝑛^3.

(a)  

(a)  

Solve the equation log(base5) (𝑥^2 + 72) + log(base5) 25 − 2log(base5) 𝑥 = 3. (Answer in simplest surd form)

(a)  

. Given that 𝑥 is a 3-digit number, find the smallest possible value of 𝑥 such that 𝑥 = 27√x-162

(a)