ARTISAN COURSES MATHEMATICS --ENDTERM
APL20J, AMA20J, AWF20S, AIE20J
TERM III
TIME 2 HOURS
ANSWER ALL THE QUESTIONS
10 cps
1. The HCF of the three numbers is 22-x3x5 and LCM is 24x32x52. If two of the numbers are 240 and 360 and the third is x find the
two possible values of x (8mks)
2. Find the difference between the LCM of 12,24 and 48 and the GCD of 56,48 and 18 (8mks)
3. Evaluate -45/(-15x4-(-38)
-50x50/5x(-5) (7mks)
kamau spend 3/5 of his money on buying food and 7 of what was left on rent. After that he finds that he has sh1400 left
pocket. Determine the amount spent on buying food (5mks)
5.Express 0.27 as a fraction in its simplest form (6mks)
6.write prime numbers between 10 and 20 in descending Order (4mks)
7. Find the LCM of a2-ab-12b2 and a+3b, hence simplify
ay
ES
2b
1
13 물
(7MKS)
a+3b
24
a2-ab-12b2
nf a muntry Q is about 1.1x109 and that of country P is about 1.2x108 Find (a) the difference bet​

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?