MATHEMATICS EXERCISE FOR HIGH SCHOOL

MATHEMATICS EXERCISE FOR HIGH SCHOOL

ANSWER ALL QUESTIONS

1.       Use cover up method resolve x/(2x-3)(3x-2) into partial fraction

2.       Given that (1+3X)⁴ =1+PX+QX²+….. find 3P+2Q

3.       Evaluate (1+2X)⁵ = (1.02)⁵ show all workings.

4.       Given that (1+5X)⁴=1+PX+QX²+RX³+…… find the value of P-2Q+3R

5.       Given that sin (A+B) =sinAcosB+cosAsinB find the value of sin75^o

6.       Evaluate tan60⁰-1/1+tan30⁰

7.       With the usual notation, solve triangle ABC completely a=4.86cm,b=5.91cm,c=6.23cm

8.       Find the derivative of each of the following wrtx (7a)Y=e^sin4x  (7b) Cos³2X³+5X (7c)Cot 3X²+4X

9.       Integrate Cos7X²+3X

10.   Given that the earth has a radius of 6,400km and π is 3.142, calculate the distance between the following pairs of locations along great circles P (52⁰N, 36⁰E) and Q (71⁰S, 36⁰E)

11.   Solve without using table Log₂32+Log₅125 (10b) Log_X3+Log_x27 =4 find X

12.   If Cos α =Sin48⁰, find α (11b) Find the value of Cos750⁰

13.   A G.P has its 3^rd and 7^th terms as 45 and 3645 respectively. What is the product of its 2^nd and 4^th terms? (12b)Find the compound interest on N450 in 4 years at 6% p.a

14.   Calculate the principal which amounts to N218 in 2 years at 5% per annum

15.   If A varies directly as the cube root of B and A =3 when B=64, find the formula connecting the variables. Hence find B when A 15/4

16.   A cylindrical container has a base radius of 6m and its height is 17m.Calculate total surface area