MATHEMATICS EXERCISE FOR HIGH SCHOOL FOR THIS WEEK

MATHEMATICS EXERCISE FOR HIGH SCHOOL FOR THIS WEEK

SECTION B

1.     A man bought a second-hand photocopying machine for N34,000.He serviced it at a cost of N 3000 and then sold it at a profit of 15%. What was his selling price (1b) Solve 5^(2x-1) x 5^(x+1) =0.04

2.     A regular polygon has 150⁰ as the size of each interior angle. How many sides does it have.(2b) If 55_x + 52_x =77₁₀  (2c) Find r if 6r7₈ =511₉

3.     At what rate will interest on N400 increase to N24 in 3 years simple interest

4.     Evaluate (81/16)^-1/2 X 2^-1 (4b)A polynomial in x with roots are 4/3 and -3/5 is

5.     W is directly proportionate to U. If w =5, u=3,Find u when w =2/7

6.     Find the sum to infinity, the sequence is 1, 9/10, (9/10)², (9/10)³

7.     What value of x will make the function x(4-x) a maximum

8.     Find the value of Sin 45⁰ –Cos 30⁰

9.     If X={n²+1, n=0,2,3} and Y={n+1, n=1,2,3,4} find XnY

10.                        In a survey of 50 newspaper readers, 40 read champion and 30 read guardian, how many read both paper.(10b)      =15 find value of X

11.                        Integrate 3x⁷+4x³-5x /X  dx (11b) Integrate ³dx

12.                         A man invested N 5,000 for 9 months at 4%. What is the simple interest

13.                        If log₃18+ log₃3-log₃x = 3 find X

14.                        Solve the inequality -6(x+3) ≤ 2/5 (x-2)

SECTION B

1.       Ayo earns N3,500 per month out of which he spends 15% on his children’s education. If he spends additional N 1,950 on food, how much does he have left?

2.       In a class of 48 students, 24 plays football and 26 play volleyball. If 3 students play both games, how many play neither? (2b)The nth term of a sequence is n²-6n-5,find the 3^rd and 4^th terms

3.       Evaluate   (3b) If Y=CosX³ find dy/dx 

4.       Find the standard deviation of 2, 3, 8, 10 and 12. (4b)Find the range of 4, 9, 6, 3, 2, 8 and 20

5.       3 girls share a number of apples in the ratio 5:3:2.If the highest share is 40 apples, find the smallest (5b)Calculate the time taken for N 3,000 to earn N 600 if invested at 8% simple interest

6.       If X-4 is a factor of X²-X-K then K is….. (6b)If tan α =3/4 find the value of

7.       If Y=(2X-5)⁴ find dy/dx (7b)The gradient of the line joining (x,4) and (1,2) is ½ find x 

8.       If y varies directly as n²  and y=4 and n=3 find Y when n is 2/5

9.       Find the probability that when a fair six-faced dice is tossed six times, a prime number appears exactly four times.

10.   Calculate standard deviation of 5,4,3,2 and 1 (10b)Factorize 2y²-15xy+18x²

11.   A woman bought grinder for N 60,000.She sold it at a loss of 15%.How much did she sell it

12.   How many sides has a regular polygon whose interior angle is 135⁰ each?

13.   A chord of a circle subtends an angle of 120⁰ at the centre of a circle of diameter 7cm, calculate the area of the sector.