First Term Examination Volume 2
Class : SSS Two
Subject : Mathematics
Duration : 1 Hour 30 Minutes
Section A : Objective Questions
Instruction : Answer all questions in this section.
1. Find the 20th term of the progression 4, 8, 16, 32,… . (a) 219 (b) 221 (c) 218 (d) 223
2. If the second and fourth terms of a G. P are 8 and 32 respectively, what is the sum of the first four terms? (a) 28 (b) 40 (c) 60 (d) 68
3. Instead of recording the number 1.23cm for the radius of a tube, a student recorded 1.32cm. Find the percentage error, correct to one decimal places. (a) 6.8% (b) 7.3% (c) 9.6% (d) 14.4%
4. Evaluate, correct to two decimal places, 75.0785 – 34.624 + 9.83. (a) 30.60 (b) 50.29 (c) 50.28 (d) 20.62
5. Find the number whose logarithm to base 10 is 2.6025. (a) 400.4 (b) 0.4004 (c) 0.04004 (d) 0.004004
6. If 101two + 12y = 23five, find the value of y. (a) 8 (b) 6 (c) 7 (d) 3
7. If tan y is positive and sin y is negative, in which quadrant would y lie? (a) First and third only (b) First and second only (c) Third only (d) Second only
8. Solve for x ; ( x2 + 2x + 1 = 25). (a) 6, 4 (b) – 6, – 4 (c) – 6, 4 (d) 6, – 4
9. If x = 7, y = 5 and Z = – 3, find the value of x(x – z) – y2 (a) 95 (b) 60 (c) 45 (d) 18
10. If sin x = cos 50°, then x equals (a) 40° (b) 45° (c) 50° (d) 130°
11. Given that 27 (1+x) = 9, find x. (a) 2 (b) 9/2 (c) – 2/3 (d) – 1/3
12. A man is 4 times as old as his son. The difference between their ages is 36. Find the sum of their ages. (a) 45 years (b) 48 years (c) 60 years (d) 74 years
13. The square root of a number is 2k. What is half of the number? (a) √k/2 (b) √k (c) ½k2 (d) 2k2
14. The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error. (a) 284/7% (b) 29/7% (c) 5% (d) 7%
15. The nth Term of a sequence is given by 3 x 2 n-2. Write down the first three terms of the sequence. (a) 2/3, 0, 6 (b) 3/2, 3, 6 (c) 2/3, 3, 8/3 (d) 2/3, 3, 1/3
16. Evaluate 2101 x 21 in base 3. (a) 111221 (b) 121112 (c) 112121 (d) 112112
17. Evaluate 84/3 (a) 8 (b) 4 (c) 3 (d) 16
18. How many significant figures in a substance with mass of 0.07080 grams? (a) 2 (b) 3 (c) 4 (d) 0
19. Round off 0.1278 to the nearest thousandth (a) 0.128 (b) 0.127 (c) 0.13 (d) 0.1
20. Simplify : 5x4y3 ÷ x2 y. (a) 5x2y3 (b) 5x6y3 (c) 5x2y2 (d) 6x2y2
SECTION B : THEORY
Instruction : Answer three questions in all. Question 1 is compulsory.
1. A container full of oranges were shared among 12 market women I such a way that the first woman received 50 oranges, the second received 70 oranges, the third received 90 oranges and so on.
a) How many oranges was received by the : (i) 8th woman? (ii) last woman?
b) How many oranges were in the container altogether?
2a.) Use logarithm table to evaluate :
√(0.945 × 0.78) / 2.43
b.) Find the quadratic equation whose roots are 1 1/5 and – 3/4
3a.) If one root of a quadratic equation 8×2 – kx + 3 = 0 is 1 1/2, determine the value of k and hence find the other root.
b.) Calculate the maximum percentage error of a measurement of 16cm to the nearest centimeter
4a.) The 3rd and 6th term of a Geometric progression (G. P.) are 48 and 14 2/9 respectively. Write down the first four terms of the G. P.
b.) Find the quadratic equation whose roots are 2 + √5 and 2 – √5
5a.) Determine the sum of all the numbers between 0.and 300 which are exactly divisible by 4.
b.) A number x is square and added to the twice the number to give 8. Find the value of x.