Samuel Omoghojie Eyaroyi

BAPTIST HIGH SCHOOL IKERE EKITI 2ND TERM MATHS EXAMINATION CLASS: SS2 SECTION A: OBJECTIVE INSTRUCTION: ANSWER ALL QUESTIONS IN SECTION A 1. …….. is the additional charge added to the borrowed amount (a) Interest (b) simple (c) compound (d) Principal 2. Simple Interest is depicted by the formulae; (a) I = PRT x10 (b) I = PRT/10 (c) I = PRT/100 (d) none of the above 3. Calculate the simple interest on N3000 for 1 year at a rate of 5% (a) N150 (b) N300 (c) N350 (d) N200 4. Compute the rate percent per annum at which N4500 will earn N500 in 4 years. (a) 3.62% (b) 2.20% (c) 2.60% (d) 2.78% 5. A retiree invests N5000 in a savings plan that pays 6% per year. What will the account balance be at the end of the first year? (a) N6500 (b) N5300 (c) N5500 (d) N6000 6. The amount of NP for n years at r% per annum compounded interest, compounded yearly is depicted as; (a) A = (b) A = P (c) A = P (d) A = P 7. Calculate the compound Interest on N2000 in 2 years at 5%. (a) N100 (b) N305 (c) N105 (d) N205 8. In a logical statement, the connectives and, or and not is indicated respectively as; (a) ^, v, ~ (b) v, ~, ^ (c) ~, ^, v (d) v, v, ~ 9. Using the connective ^, the statement P ^ Q is true only when both P and Q are true. Is this correct? (a) Yes (b) Not sure (c) Maybe (d) Sometimes What is the negation ~ of the following? 10. 3 + 4 =8 (a) ~ 3(b) ~ 4 (c) ~ 8 (d) 3+4 ≠ 8 11. x + 5 ≤ 4 (a) x + 5 = 4 (b) x ≤ 4 (c) x + 5 ≥ 4 (d) x + 5 ≠ 4 12. Find the values for which 4x - 5 < 11 (a) x = 3 (b) x = 4 (c) x > 4 (d) x < 4 13. Solve the inequality 3(12 – x) ≥ 4 +5x (a) x > 4 (b) x ≤ 4 (c) x ≥ 4 (d) x < 4 14. Solve the inequality 3(x + 4) ≤ 5x (a) x > 4 (b) x ≤ 6 (c) x ≥ 6 (d) x < 4 15. Solve the inequality –(x +5) > -3(x +2) (a) x < (b) x > - (c) x = -1 (d) x < -2 16. Solve the inequality 4x -1 ≤ 7 (a) x ≥ 2 (b) x ≤ 2 (c) x < 2 (d) x > 2 17. Solve the inequality 3x - 5 <5x - 3 (a) x > -1 (b) x < 1 (c) x < -1(d) x ≥ -1 18. A …… is a line segment that joins any two points on a circle. (a) minor segment (b) major segment (c) semicircle (d) chord 19. In circle theorem 1, the angle which an arc of a circle subtends at the centre is …….that which it subtends at any point on the circumference of the circle. (a) twice (b) thrice (c) once (d) all of the above 20. In circle theorem 2, angles on the same segment of a circle are …… (a) trebled (b) not equal (c) doubled (d) equal Reduce the following to their lowest terms 21. (a) (b) (c) (d) 22. (a) - (b) - (c) - (d) - 23. Simplify (a) 0 (b) 1 (c) b-4 (d) b 24. Simplify (a) (b) (c) (d) 6p 25. Simplify (a) 3 (b) 3x (c) x2 (d) x Compute the ratios of angles between 0o and 90o 26. Sin 0o = (a) 0 (b) 1 c) ∞ d) 1/2 27. Sin 30o = (a) ½ (b) 1 (c) (d) 0 28. Sin 60 = (a) (b) 2 (c) 0 (d) ½ 29. Cos 90 = (a) 0 (b) 2 (c) 1 (d) 1/2 30. Cos 60 = (a) ½ (b) ∞ (c) 0 (d) 1 SECTION B: THEORY INSTRUCTION: ANSWER 4 QUESTIONS IN SECTION B 1. a. Calculate the time it takes for N7000 to yield a simple interest of N924 at 8.8% b. A man saved N1000. Calculate the amount if the interest rate is 4.2% compounded quarterly. 2. a. Find the amount and compound interest on N3000 for 3years at 8% per annum b. Deduce the truth table for the connective ‘if and only if’ P Q P Q P Q 3. a. Study the following statements and draw a truth table P v Q P: 365 days make a year. Q: Kano is in Nigeria. P: 2 divide 4. Q: Washington DC is in Ghana. P: 5 is a factor of 13. Q: 26 is a factor of 52. P: The shortest man in Ghana is 7 metres tall. Q: A 3 year old woman has three babies.. b. Draw the truth table for the connective ‘and’ P ^ Q 4. a. Solve the inequality –(x +5) > -3(x +2) and show the solution in a number line b. Solve the inequality 5. a. Find the marked angle below; cm cm b. Define Pythagoras’ theorem