DECIMALS 1. Grade 8 learners of Bidii Junior Secondary were given the foliowing number cards by their teacher during a mathematics lesson. ldentify the number card representing a recurring decimal.

4. Tap A can fill an empty tank in 3 hours, while tap \( B \) can fill the same tank in 2 hours. When the tank is full, tap C can empty the tank in 5 hours. Tap \( A \) and \( C \) are opened for 4 hours and then closed. a) Determine the fraction of the tank that is still empty. ( 2 mks ) b) Find how long it would take to fill the remaining fraction of the tank if all the three taps are opened. ( 2 miss )

(d) For a certain series \( S_{n}=64-64\left(\frac{1}{2}\right)^{n} \). (1) How many terms must be added for the sum to be equal to \( \frac{255}{4} \) ? (2) Determine the value of \( T_{4} \). (3) Show that \( T_{n}=2^{6-n} \) (4)

(b) \( 96-[(15 \div 3)-(45 \div 15)] \times 10+4 \)

Exercice 2: Donner l'écriture décimale, puis l'écriture scientifique de \( F \) : \[ F=3 \times 10^{-1}+2 \times 10^{2}+\frac{1}{10^{2}} \]

e diameter of the driving wheel of a bus is 140 cm . How many revolutions per minute m wheel make in order to keep a speed of 66 km per hour?