Theory
Lockdown classwork
1. If the mean and the. Variance of the numbers 1,4,x,y,10 are 6 and 10 respectively , find the value of x and y
2. The 3rd and 6th terms of a geometric progression G.p are 2 and 54 respectively, find the (I) common ratio. (ii). First term(iii)Sum of the first 10terms , correct to the nearest whole number.
3. The sum of the first terms of an A.p is 120 and the sum of the next four terms is 156.f
Find the first hour terms of the Ap.
Mathematics : lockdown assignment
1. Solve the equation 2^(2 y+1)- 15(2^y) -8=0
2.when I walk from my house at 4km/h, I will get to the office 30minutes later than when I walk at 5km/h. Calculate the distance between my house and office.
3. If the sixth term of an arithmetic progression is 37 and the sum of the first six terms is 147. Find the, (a) first term. (b) sum of the the first fifteen terms.
4.using completing the square method,solve correct to 2d.p , the equation 3x^2 -5x +2=0
5.The mean of 1,2,x,11,y,14 is 8 and the median is 9. Find the value of x and y
6.The 1st,2nd and 3rd terms of a geometric series(G.P) are x,(x+1) and( x +4).find the (a) value of x (b) common ratio of the series.(c) sum of the first seven terms of the series.
7.A bag contains black and blue identical balls. If there are 30 blue balls in the bag and the probability of drawing a black ball is 3/8,how many balls are in the bag.
8.A rectangular lawn of the length (x+5)m is (x-2)m wide. If the diagonal is (x+6)m,find (I) the value of x. (ii) area of the lawn
9.A man p has 5red, 3 blue and 2white buses.Another man Q has 3red ,2blue and 4 white buses .A bus owned by p is involved in an accident with a bus belonging to Q.Calculate the probability that the two buses are not of the same colour.
10.The gradient of curve at the point (-2,0) is 3x^2 -4x.find the equation of the curve