Sunday, 7 December 2014

TRINITY INTERNATIONAL COLLEGE
TRINITY HILLS, OFADA, OGUN STATE
FIRST TERM EXAMINATION 2014/2015 SESSION
SUBJECT: MATHEMATICS PAPER 1(MULTIPLE CHOICE)                      TIME: 1 1/2 HOURS
CLASS: BASIC 8

INSTRUCTIONS: Answer ALL questions. Each is followed by four options lettered A – D. Find out the correct option for each question and shade in pencil on your answer sheet the answer space which bears the same letter as the option you have chosen. Do not waste time on any question. If you find any difficult, go to others and finish them before you come back to the difficult one(s). Use of calculator is NOT allowed.
Give only ONE answer to each question.

1.      What is the place value of 2 in 5.8324?
         (A) Hundred  (B)  Hundredth (C)  Thousandth  (D)  Unit
 
2.      Find the sum of all prime numbers between 1 and 10
         (A) 55  (B) 46  (C)  17 (D) 4

3.      What is the sum of 12.41, 120 and 0.426
         (A)  117.876   (B)  121.836    (C)  132.836    (D)   132.866

4.      The place value of 7 in the number 307 000 is …..
         (A)  7 x 10-3      (B)    7 x 10-5     (C)   7 x 105     (D)  7 x 103

5.      The prime factorisation of 648 in index form is
         (A)  6 x 36   (B)  24 x 27   (C)  22 x 32  (D)  23 x 34

6.      Express in figure one hundred and fifty eight million one hundred and twenty five thousand
         one hundred and one.
         (A) 15 812 501    (B)   158 125 001   (C)  158 125 101  (D)  158 250 001 .

7.      Express 250 millionths in digits only.
         (A) 250 000 000  (B) 2 500 000  (C)  0.000 25  (D) 0.002 50      

8.      What is the place value of the 3 in 0.438?
         (A)  3 x 10-5      (B)  3 x 10-3   (C)  3 x 10-2 (D)  3  x 10-1

9.      8.045 to the nearest hundredth is …..
         (A)  8.0   (B)  8.05    (C)  8,1 (D)  10.0

10.    Round off 0.01356 to three significant figures.
         (A)  0.013   (B)   0.014 (C)  0.0146  (D) 0.0136

11.    Reciprocal of 0.65 to the nearest whole number is
         (A)  1.50   (B)  1.53   (C)  1.538    (D)  2

12.    The weight of five boys are given as 59kg, 70kg, 108kg, 84kg and 66kg. Correct each weight
         to the nearest 10kg and then find the average weight of the boys.
         (A)  76kg   (B)   78kg   (C)   80kg  (D)  82kg

13.    Sum up the following numbers: 0.032, 4.154, 6.0 and 0.3065 to one decimal place.
         (A)  10.00  (B) 10.4  (C)  10.49  (D) 10.5
14.    Divide 2.64 by 0.9 and give your answer correct to 2 decimal places.
         (A)  2.93    (B) 2.90   (C)   3.00    (D)  3.40

15.   Evaluate (4.5)2 to the nearest whole number.
              (A)  25    (B)   21     (C)  20    (D)  16

16.    104 is NOT equal to which of the following?
         (A)   10,000   (B)   0.1 x 105   (C) 10 x 10 x 10 x 1    (D) 100 x 100

17.    Calculate the value of angle x in the diagram below.
                                                                                                                                                                                                                                     
                                                 x                                                                                                                    
                                                                                                                                                                                                                   
                                               600
         (A)   300   (B)   600   (C)   900   (D)   1200                                                                          

18.    Find the value of  p in the figure below.
                                                                                                                                                                                                                                                                                             
                                                      1200      p
         
         (A) 400    (B)   500    (C)   600  (D)  700

19.    Evaluate (0.01 ×0.04)/(0.0002), give your answer in standard form.
         (A)   2 × 10-3   (B)   2 × 10-2        (C)  2 × 10-1  (D)  2 × 100

20.    Simplify    42y-3 ÷ 14y-7
         (A)  3y4   (B)   3y10   (C)  3y-3 (D)  3y-7

21.    Simplify   (2x/5)^(-2)
         (A)    4x/25    (B)    25/〖4x〗^2      (C)  25/4x    (D)    〖4x/25〗^2

22.    Simplify 2n-1  × (3n)2          
         (A)  6n2   (B) 18n  (C)  (2 )/3n    (D)   9/2n

23.   Evaluate (3^4 〖×27〗^(-1))/3^(-4)  
        (A)   1/3  (B)   3  (C)  81  (D)  243

24.   Evaluate (3.3× 104 )  ̶̵  (4.6 × 103 )
         (A) 7.9 × 104 (B) 2.84 × 104   (C)  3.57 × 103  (D)  5.7 × 103

25.    Calculate the sum of the first five square numbers.
         (A)  30     (B) 55   (C)   70   (D)  95

26.    Add the square root of 16 to the square of 4, and divide the result by 2.
         (A)  2   (B)  8   (C)  10   (D)   20

27.    What is the square root of 0.006 4?
         (A)   0.08   (B)  0.8    (C) 8.0   (D)   80

28.    The square root of a number is 4y.What is half of the number?
         (A)  2y  (B)   4y2    (C)   6y   (D)    8y2

29.    If 4 ×9 = 36, then√36 is
         (A)  2 × 3    (B)  2 × 9       (C)  4 × 3       (D)  4 ×  9

30.   Find the smallest integer n by which 540n is a square number.
         (A)  3     (B) 5   (C)    15  (D)  21

31.    Evaluate  √11025
         (A)  15    (B) 25    (C)   105    (D)  225      

32.    Find the square root of 9 × 16 × 25.
         (A) 3600  (B)   60   (C)  25  (D)  9 .  

33.    Evaluate √(3 1/16)
         (A)    2 1/3   (B)    2 1/2    (C)   1 2/3    (D) 1 3/4

34.    Which of the following options give the correct factors of 36?
         (A) 1, 3, 4, 6, 10, 18, 36   (B) 1, 2, 3, 4, 6, 9, 12, 18, 36
         (C) 1, 2, 4, 6, 8, 12, 36    ( D) 1, 5, 8, 9, 12, 18, 36

35.    Find the LCM of 6ab, and 5b2
         (A) 15ab2  (B)  15ab   (C)  30ab2 (D) 30ab

36.    Find the GCF of 144, 90  and 54.
         (A)  6  (B)  9  (C) 18  (D)  36

37.    Find the GCF of 18a2y and 27x2y2
         (A) 9ax    (B)  9y  (C)  6axy  (D) 6ax

38.    Three bells toll at interval of 3 minutes, 6 minutes and 8 minutes. If they toll together
         12.00 noon, when will the toll together again?
         (A) 12.03pm    (B) 12.06pm        (C) 12.08pm      (D) 12.24pm

39.    I travelled at 60 Km/h and took 2h for a journey. How long would it have taken me if I had
         travelled at 120 Km/h?
         (A) 4h    (B)   3h   (C)   2h   (D)   1h

40.    In a writing competition, the first place winner receives ½ of the prize money.
         The second runner up receives ¼ of what the winner won. What was the total amount of prize
         money distributed if the winner receives $12,000?
         (A)   $3,000   (B) $6,000  (C)  $12,000   (D)   $24,000

41.    Find the simple interest on N60 000 for 5years at 9% per annum.
         (A) N27 000  (B)  N35 000   (C)  N50 000  (D)  N54 000

42.    Express 4mm as a percentage of 5cm.
         (A)  0.8%   (B)  8%   (C)  80%  (D)  800%

43.    In a group of 80 students, 25 are female. What percent of the group is male?
         (A) 16.5%    (B) 37.5%    (C) 68.75% (D) 75.5%

44.    A trader buys an electric kettle for $80 and sells it at a profit of 15%. Find her selling price.
         (A)   $102     (B)   $92  (C)   $80    (D)  $68  

45.    An insurance agent sells N284 000 worth of insurance. His commission is 20%.
         How much money does he get?
         (A)   N56 800  (B)  N76 000  (C)  N106 000   (D)  N113 600.      

46.    If 5.5% of a number is 5.5, what is the number?
         (A)   45  (B)   55     (C)   100  (D)   110            

47.    After having to pay increased income taxes this year, Jones has to sell his BMW car.
         Jones bought the car for $49,000, but he sold it for a 20% loss. What did Jones sell the car for?
         (A)  $24 200  (B)  $28 900   (C)  $35 600 (D)  $39 200

48.    How many years does Edwin need to invest his $90 000 at 30% to earn $81 000 in simple
         interest?
         (A)  10 years  (B) 8 years  (C) 3 years  (D) 1 year

49.    A radio costs N5 400. A  12 1/2% discount is given for cash. What is the cash price?
         (A) N6 245  (B)   N4 725    (C)  N1 965   (D) N675

50.    A painter painted ¾ of the walls of a house. What percentage of the walls has not been painted?
         (A) 66 2/3%       (B)  50%       (C)  33 1/3%          (D)  25%        

51.    An article bought for £200.00 was sold at a gain of 17.5%. What is the selling price?
         (A)  £300.00         (B) £235.00      (C) £165.00    (D)   £75.00      

52.    Which of the following does not belong to the group?
         (A) square         (B) triangle         (C)  cuboid       (D)  circle        

53.    What is the complementary angle of 400?
         (A)  1800    (B) 1400    (C)  900   (D)  500

54.    Which of these quadrilaterals has ONLY ONE line of symmetry?
         (A)  rectangle  (B) parallelogram   (C)  kite  (D) trapezium..

55.    If 504 = 23 ×3y × 71. Find y.  
         (A) 4  (B) 3  (C) 2  (D) 1

56.    What number does the Roman Numeral MMCLXI represent?
         (A) 2 006   (B) 2 507    (C) 1 161  (D) 2 161

57.    Convert 19ten to a binary number.
         (A) 10001two   (B)   10011two  (C)  10101two   (D) 10111two  

58.    Convert 1110102 to a number in base ten
         (A)  65    (B)   58   (C)  43    (D)  37

59.    Evaluate 11011 + 101, each number is in base two. Give your answer as binary number.
         (A) 100 000   (B) 110 000   (C) 101 000   (D) 100 100

60.    Simplify     2 2/7  ÷  8/21
         (A)  6   (B)   1⁄7   (C)   21   (D) (   2)⁄3

61.    What is the area of the triangle below?

         (A)  22 cm2    (B)   33 cm2   (C)   44 cm2   (D)   66 cm2.  

62.    What is the circumference of a circle of radius 7cm? (Take   ( 22)⁄7 )
         (A)  24cm    (B)   44cm   (C)  37cm   (D)  77cm

63.    Find the perimeter of a square of sides 5.5cm.
         (A) 25cm    (B) 22cm    (C) 20cm    (D)   11cm  

64.    A half of a number is equal to 6. What is the number?
         (A)   15   (B)    12   (C)   6    (D)   3

65.    In Ofada wooden panels are used to build houses. If 45 panels are used to build a house,
         how many houses can be built with 2000 panels?
         (A)  45  (B)  44  (C)  42  (D)  40

66.    Find 30% of 1 ½ hours in minutes.
         (A) 60         (B)  30       (C)  27       (D)  12

67.    A man spends 1/3 of his salary on food and 1/4 on school fees of his children.
         What fraction of his salary is left?
         (A)  1/6   (B)   5/12    (C)  7/12       (D)    1/2

68.    Subtract 4% of 100 from 1/3 of 18
         (A)  -19    (B)  -5     (C)  19    (D)  2

69.    Which is the greatest of these negative integers?
         (A)  -70 000  (B)   -7 000   (C)  -700  (D)  -70

70.    Simplify -215 + (-9) - (-19)
         (A)  -70  (B)  -50   (C)  -40  (D)  -25  (D)  -13    

71.    Simplify ((-4)×(+25))/(-5)
         (A)  +25   (B)  +20    (C)   -20    (D)  -25

72.    What is the range of the following set of scores in a music test  4, 1, 3, 0, 2?
          (A)  0   (B)  3   (C)  4   (D)  5.

73.    What is the median of following set of numbers:  5, 1, 3, 8, 3, 9, 4 ?
         (A)  7   (B)  5   (C)  4   (D)  33        

74.   Calculate the mode for the following data set: 0.011, 0.01, 0.011, 0.01, 0.01, 0.011, 0.01, and 0.01
         (A)  0.011 (B)   0.01  (C) 105 (D)  0.011 & 0.1  
       
         Use the chart above for question 75 & 76
75.    How many boys attended the 1997 convention?
         (A) 1000  (B) 912    (C)  608  (D)  520

76.    Which year did the least number of boys attend the convention.        
         (A)  1998    (B)  1997  (C)  1996  (D)  1995
   
77.    Find the missing term in the following sequence: 4, 9, 19, __, 79
         (A)   36   (B) 37   (C)  38   (D)  39    

78.    If 6 men can finish a particular work in 4 days, how many days will it take 8 men to finish the same
         work if they are working at the same rate?
         (A)    2    (B)    3  (C)  4   (D)  6

79.    A number is divisible by 6 if…….
         (A)   the unit digit is 0 or 6   (B)  the sum of the digits is divisible by 6
         (C)  the last digit is even and the sum of the digits is divisible by 3
         (D)   the  last three digits formed a number divisible by 6.
     
80.    The shortest distance between two points is …
         (A)   a curve joining the two points  (B)  a straight line joining the two points
         (C)   perpendicular bisector of the line (D)  angular bisector of the angles formed
                                 


           








                                     
TRINITY INTERNATIONAL COLLEGE
TRINITY HILLS, OFADA, OGUN STATE
FIRST TERM EXAMINATION 2014/2015 SESSION
SUBJECT: MATHEMATICS PAPER 2 (THEORY)                                         TIME: 1 1/2 HOURS
CLASS:      BASIC 8

INSTRUCTIONS: Answer ALL questions.
In each question, all necessary details of working including rough / scratch work must be shown in the answer booklet.
Orderly and Clear presentation of work with use of appropriate units will attract full marks.
Use pencil for diagrams, graphs and rough work.
Use of calculator is not allowed.

1 a.   Factory X makes 400 bicycles per week. Factory Y makes 700 bicycles per week.
          They increase their weekly production to 424 and 735. Which factory increases  production  
          at greater rate per cent?
 
   b.   Simplify     6p30 x 8p50

2 a.    In the figure below, find the values of angles marked x and y.
               


                                                           



                                                                       


     
   b.   Evaluate 110two´ (1011two +101two ─ 111two)

3 a.   Go is a Japanese game played on a square board divided into smaller squares.
          There are 5184 smaller squares. How many small squares are there along each side?
   b.    The VAT rate of a country is 15%. A man bought an item at $690.00, VAT inclusive.
         Calculate
   (i)  the basic cost of the item
   (ii) the VAT paid by the man

4 a.    The scores of students in a Music test are: 7, 9, 3, 7, 7, 3, 9, 7, 3, 7, 5, 5, 7, 9, 7, 12, 12, 3, 9, 7.
   (i)   Prepare the frequency table
   (ii)  Find the mean score
   (iii) Find the median score
   (iv) Find the modal score
 
   b.    Find the HCF of 8xy, 10x2y2 and 12x3y 1  
 
   c.   Simplify ((-42)×(+250))/(-70)

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