MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 3
MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 3
FIRST TERM EXAMINATION 2021
SUBJECT: MATHEMATICS
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CLASS: S.S.S.3
1. ______ is a number that cannot be written as ratio. (a) rational (b) ratio (c) irrational (d) irrigation
2. Simplify √12 x 3√60 x √45 (a) 540 (b) 504 (c) 545 (d) 450
3. ______ is a surd in which one or both of its terms contain a surd (a) polynomial (b) Binomial surd (c) Bracket surd (d) Single surd
4. Given that √3 = 1.732. Evaluate to 2 decimal places (a) 1.51 (b) 1.15 (c) 1.05 (d) 0.15
5. Find the product of (2, 2, 4, 5)
( – 3)
( 7)
( 9)
( – 8)
(a) 4 (b) 5 (c) 6 (d) 7
6. A hotel has 8 single rooms and 14 double rooms. The cost per night of single and double rooms are N10,000 and N15,000 respectively. Use a matrix method to show how much money the hotel makes per night when full. (a) N29,000 (b) N20,900 (c) N290,000 (d) N920,000
7. In the equation 92x-1 x 33x-1 = 27x+3 Find the value of x (a) 3 (b) 3/2 (c) 5 (d) 9
8. A ______ matrix is a matrix in which all its elements are zero (a) null (b) single (c) double (d) basic
9. The determinant of a singular matrix is _____ (a) single (b) zero (c) basic (d) double
10. Given that log10 2 = 0.3010 and log10 3 = 0.4771 find log109 (a) 0.5942 (b) 0.9542 (c) 0.9452 (d) 0.5492
11. Simplify log2 32(a) 2 (b) 3 (c) 4 (d) 5
12. Find the value of k given that Log k – log (k – 2) = log5 (a) 1 ½ (b) 2 ½ (c) 3 ½ (d) 4 ½
13. Calculate the amount if simple interest is paid yearly at 12% per annum for 3 years on a principal of N150000 (a) N402,000 (b) N400,000 (c) N204,000 (d) N102,000
14. Calculate the interest paid on a fixed deposit of N25000, which is invested for a period of 3 years at 12% interest per annum. (a) N100,012 (b) N10,123 (c) N10,213 (d) N10,312
15. Factorize P2 – 10P + 25 = 0 (a) P = 2 twice (b) P = 3 twice (c) P = 4 twice (d) P = 5 twice
16. Find the determinant of matrix (a) 23 (b) 22 (c) 21 (d) 20
17. Find the inverse of
18. Identity matrix is denoted by _____ (a)
19. ______ can be expressed as exact fraction or ratio is called (a) Rational (b) Irrational (c) Denominator (d) Numerator
20. Simplify √x2y (a) y √x (b) y√x2 (c) x √y (d) x2 √y
21. A _____ is a set of numbers or elements arranged in a rectangular array or pattern. (a) Bracket (b) Surds (c) Modular (d) Matrix
22. Solve the simultaneous equation 9x + 4y = 17
2x + y = 4 (a) x = 2, y = 1 (b) x = 1, y = 2 (c) x = – 1, y = – 2 (d) x = – 2, y = – 1
23. If A 3 x 3 matrices = Find /A/ (a) 1 (b) 0 (c) 2 (d) 3
24. Simplify Log9 + log3 (a) 2 (b) 3 (c) 4 (d) 1
25. Solve x0.8265 = 45 (a) 10 (b) 20 (c) 100 (d) 50
26. A trader saved N50,000 in a bank that pays interest at 9½% per annum. Find the amount in the trader’s savings account after 6 years. (a) N19,086 (b) N19,860 (c) N86,190 (d) N85,619
27. Solve the equation 2x2 + 9x = 5 (a) x = ½ or – 5 (b) x = – ½ or – 5 (c) x = ½ or 5 (d) x = 5 or 2½
28. Simplify 3√8 + 50 (a) 11 √2 (b) 2 √11 (c) √22 (d) 3 √11
29. Surds are ______ numbers (a) rational (b) irrational (c) single (d) basic
30. Express 97530 in standard form (a) 9.75 x 104 (b) 9.75 x 103 (c) 9.75 x 10-4 (d) 9.75 x 10-3
SECTION B: THEORY
Answer any four questions
1. Solve the following simultaneous equation
2x – 3y + z = 10
y – 2z = 7
x + 2y – 3z = – 9
2. Given that log10 5 = 0.699 and log103 = 0.477. Find log1045 without using table.
3. Simplify: 2 √3 + 2/ 2√3 – 2
4. Evaluate (i) Log 7 + 2 log 2 – log280
(ii) Log(20/9) + 2log(6/5) – log(4/25)
5. A hotel has 8 single rooms and 14 double rooms. The cost per night of single and double rooms are N10,000 and N15,000 respectively. Use a matrix method to show how much money the hotel makes per night when full. Use a matrix method to show how much money the hotel makes per night when full.
6. Find the sum and the product of the roots of the equation
(i) 5x2 – 4x – 9 = 0
(ii) 2x2 + 9x = 6
