Third Term Examinations SS 1 Examination MATHEMATICS

CLASS: S.S.S. 1

SUBJECT: MATHEMATICS

1. What is the additive inverse of 8 ? (a)-8  (b)- 16  (c) +32
2. Express 72 as a product of its prime factors in index form. (a) 2³ x 3² (b) 2² x 3³(c) 2 x 36
3. Factorize 10a² + 30a + 20ab. (a) 10a (a +3+2b) (b) 10a(5ab) (c) 10 (a+3+2b)
4. Find the simple interest on N600 for 3 years at 8% per annum. (a) N456.00(b) 144.00 (c) 744.00
5. Find the product of -5x, 3x and -2x. (a) -4x (b) 30x³ (c) -30x²
6. Simplify x 4 ÷ 2 . (a) 2 ½ (b) 1 (c) 3
7. Find the square root of 3 (a) 3.24 (b) (c)
8. A school boy spent ¼ of his pocket money on book and 1/3 on dress. What fraction remains? (a) 5/12 (b) 1/6 (c) 5/6 (d) 7/12
9.  Find the difference between 4/11 of 2 1/5 and ¾ (A) 3/20 (b) 3/20 (c) 13/20 (d) ¾
10. Simplify (27^1/3)^{2  (a)} 9 (b) 4 ½ (c) 6 (d) 18
11.  Simplify (16)^1/4(a) 2/3 (b) 8/27 (c) 1/3 (d) 4/9
12.  Simplify Log₁₀¹⁰⁰(a) 3 (b) 10 (c) 6 (d) 5
13.  Express 0.00562 in standard form (a) 5.62 x 10^-3 (b) 0.562 x 10^-2 (c) 5.62 x 10^-2 (d) 5.62 x 10²
14.  Express 0.000834 in standard form (a) 8.34 x 10^-4 (b) 8.34 x 10^-3 (c) 8.34 x 10³ (d) 8.34 x 10⁴
15.  If 104_x = 68, find the value of x (a) 8 (b) 5 (c) 7 (d) 9
16. If the mean of 4, 6, 9, y, 16 and 19 is 13. What is the value of y?(a) 24 (b) 20 (c) 15 (d) 8
17.  Find the median of the following set of scores 65, 72, 55, 48, and 78(a) 65 (b) 72 (C) 55 (D) 50
18. X varies directly as y, when x = 4, y=3. Find y when x=5 (a) 3.75 (b) 8 (c) 4.82 (d) 10.01
19. The co-efficient of x in the expansion of (x-2)(x + 9) (a) 7 (b) 15 (c) 16 (d) 2
20. Write 0.000362 in standard form (a) 3.62 X 10^-4 (b)3.62 X 10^-3(c)3.62 X 10^-2 (d)3.62 X 10^-1
21. Solve (a) x = 15 (b) x = 10 (c) x = 1.5 (d) x = 12
22. Express 228 as a product of its prime factor in index form (a) 2⁵ X 3² (b) 2¹ X 5¹ (c) 3³ X 2³ (d) 10² X 2¹
23. Find the square root of 3⁶/₂₅(a) 9/5 (b) 5/9 (c) 3/31 (d) 6/25
24. Evaluate tan^-1 (0.1763) (a) 10⁰ (b) 20⁰ (c) 30⁰ (d) 40⁰
25. Find the value of x which satisfies the equation (a) 4 (b) 10 (c) 6 (d) 5½
26. The heights of 10 students in meters are as follows 1.1, 1.8, 1.3, 1.1, 1.4, 1.2, 1.1, 1.3, 1.4, 1.2
27. Use the information above to answer questions 1-5
    1. Find the median height (a) 1.2 (b) 1.25 (c) 1.3 (d) 1.4
    2. Find the mean height (a) 1.2 (b) 1.25 (c) 1.3 (d) 1.29
    3. Find the range of the set of the height (a) 1.3 (b) 1.1 (c) 1.3 (d) 1.2
    4. Find the modal height of the distribution (a) 1.8 (b) 1.3 (c) 1.2 (d) 1.1
    5. If a student is picked at random, what is probability that he is one of the shortest students (a) 3/10 (b) 2/5 (c) ½ (d) 3/5
28. If D = , make h the subject of the relation (a)h = (b) h = (c) h = (d) D =
29. Round off 0.008251 to 2 significant figure (a) 0-82 (b) 0.83 (c) 0.0083 (d) 0.0082
30. The tan 315⁰ is (a) 1 (b) (c) 0 (d) -1 (e)
31. If Cos = 5/13, what is the value of tan for 0<0<90⁰? (a) 13 (b) 5 (c) 13/5 (d) 12/5 (e) 5/12
32. The value of 210⁰is (a) – ½ (b) (c) ½ (d) (e)
33. Make an equation from this information, if I add 55 to a certain number “n” and then divided the sum by 3, the result is four times the unknown number (a) (b) (c) (d)
34. Express 85 as a binary number (a) 1110101₂ (b) 1010101₂ (c) 1110110₂ (d) 1011110₂
35. A rectangle is 8 cm long and its perimeter is 30cm. find the breadth of the rectangle (a) 7 (b) 8 (c) 10 (d) 12
36. Factorize 35 – 2b – b² (a) (35 – 2b) (b-1) (b) (7+b) (5-b) (c) (3+7) (5-b) (d) (35 – b) (3b +7) (e) (7 + b) (5+b)
37. If the second and four term of a G.P are 8 and 32 respectively, what is the sum of the first four term (a) 28 (b) 40 (c) 48 (d) 6 (e) 68
38. Evaluate 0.009 ÷ 0.012, leaving your answer in standard form (a) 7.5 X 10² (b) 7.5 X 10¹ (c) 7.5 X 10^-1 (d) 7.5 X 10^-2 (e) 7.5 X 10^-3
39. The angle of elevation of X from Y is 30⁰. If XY = 40m, how high is X above the level of Y? (a) 10m (b) 20m (c) 203m (d) 40m (e) 50m
40. If 5 times  a certain integer is subtracted from twice the square of the integer, the result is 63. Find the integer (a) 21 (b) 9 (c) 7 (d) 4 (e) 3
41. Simplify 125^1/3 X 49^-1/2 X 10⁰ (a) 350 (b) 35 (c) 1/35 (d) 1/350 (e) 0
42. If 3^2x = 27, what is X (a) 1 (b) 1.5 (c) 4.5 (d) 18

SECTION B

Answer 5 Questions

1. Evaluate the following logarithm table
2. Solve the following pair of simultaneous equation
   • 1. x + 2y = 5 and x + 3y = 8
     2. x + y = 6 and 3x – y = -4
3. solve the following equations
   • 1. – 4 = x + 1
     2. = –
     3. = (5x – 3)
     4. + – + 1 = 0
4. If P Varies directly as the square of Q and inversely as R, Find the relationship between P, Q and R
   1. The time T taken to buy fuel at a petrol station varies directly as the number of vehicle CV on queue and jointly varies inversely as the number of pumps P available in a station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles. Find

The relationship between T, P and V

The time to fuel 50 Vehicles in the station with 2 pumps

The number of pumps to fuel 40 vehicles in 20 minutes

1. If U = {1,2,3,4,5}, A = { 1,3} and B= { 3,4}, Find (a) A’ (b) B’ (c) (AnB)’ (d) (AUB)’
   1. In a group of 120 students, 60 studied mathematics, 40 studied physics, 55 studied Chemistry and 22 studied none of the three subjects, 12 studied physics and mathematics only, 8 studied chemistry and physics only, 7 studied mathematics and chemistry only.
      1. Draw a venn diagram illustrating the information
      2. Find the number of students that studied all three students
      3. Find the number of students that studied only mathematics
2. By selling some crates of soft drink for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
   1. Appaiah and Bekha invested N 25,500 and N 35,500 respectively in a business. They made a profit of N 6200.00 at the end of the year. 20% of the profit was shared equally between them while the remaining was shared on the ratio of their investments. Calculate Appiahs Share of the profit.