MATHEMATICS QUESTIONS FOR HIGH SCHOOL PRACTICE

MATHEMATICS QUESTIONS FOR HIGH SCHOOL PRACTICE

Instruction: Answer all questions. Time allotted 2 hours
Self Timing

SECTION A

1.       If 321₄ is divided by 23₄ and leave a remainder r what is the value of r.

2.       Simplify 7/2 – (7/3 X 5/4) + 3/5. (2b) Simplify

3.       If the interest on N150 for 2.5 years  is N4.50, find the interest on N 250 for 6 months at same rate

4.       Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share? (5a)Find the range of values of X for which 7X-3>25+3X

5.       B. If the 7^th term of AP is twice the 3^rd term and the sum of the 4^th term is 42.Find a,d

6.       A binary operation * on the set of rational number is defined as X*Y =X² –Y² /2XY. Find -5*2

7.       Find the roots of X³-2X²-5X+6 (7b) If (k2)₆ X 3₆=3₅(k4)₅, what is the value of K

8.       If =X +cosx  (8b)Differentiate ( X² + 1/X ) with respect to X

9.       In how many ways can 6 subjects  be selected from 10 for an examination?

10.   Find the value of tan60⁰ –tan30⁰ ÷ tan60⁰ + tan30⁰

11.   If T =2π  make g the subject of the formular(11b)Find each exterior angle of a regular octagon

12.   The common ratio of a Gp is 2.If the 5^th term is greater than the first term by 45,find the 5^th term

13.   Find correct to 1 dp the values of X for which 3^2x-3^(x+2)+8=0

14.   Find log 4.5. (14b) ₂   = 8^X

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 3x⁴+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) ≤ 4(x-2)

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