JSS 3 Third Term Examination Mathematics

THIRD TERM

Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.          SUBJECT:  MATHEMATICS            CLASS: J. S. S. 3              TIME: 3hrs 

1. Frequency means the ……….       A. difference between the highest and lowest numbers      B. most occurring item          C. number in the middle of the set         D. number of times an item occurs
2. ……… is an example of a cuboid        A. sugar         B. match box            C. Maggi             D. funnel
3. The next term of the sequence 1, 4, 9, 16, 25… is       A. 26             B. 36               C. 46           D. 56
4. Which of the following statistical terms is correct?            A. mode = mean       B. median = average    
   C. mean = median            D. average = mean
5. Convert 101112 to the number in base ten          A. 23            B. 22             C. 21           D. 20
6. —- is a circular graph        A. pie chart            B. bar chart               C. histogram             D. curve 
7. A cube has …. Edges          A. eight              B. six               C. ten                D. twelve
8. Given a set of numbers: 30, 29, 35,40,41,52 and 60. What is the range?     A. 30    B. 31    C. 41    D. 51
9. Find the arithmetic mean of the set of numbers 1,3,5,7 and 9       A. 9          B. 7         C. 5         D. 3
10. If the average age of 6 boys is 14 years, find their total age                  A. 54 years           B. 64 years     C. 74 years               D. 84 years
11. The difference between square of 9 and its square root divide by 2 is … A. 81     B.  78    C. 64     D. 39
12. Simplify 700 – (+400) – (-80)       A. 380          B. 370           C. 360             D. 350
13. The table below gives the distribution of the ages (in years) of 30 students in a school club. Use the information to answer question 1– 4

1. Find the mode of the distribution       A. 11 years          B. 12 years           C. 13 years       D. 14 years
2. Find the median          A. 11 years           B. 12 years               C. 11.5 years            D. 12.5 years
3. Calculate the mean of the distribution        A. 5 years      B. 6 years         C. 11.7  years        D. 11 years
4. What is the probability that a student in the club is 11 years      A. 0       B. 2/15        C. 8/15         D. 2/5 
5. The mean of 5 numbers: 8,11,6,3 and x is 7, find x           A. 11           B. 8              C. 7            D. 6
6. Convert 26 to a number in binary        A. 11100two         B. 11010two          C. 11110two        D. 10011two
7. ——- is the difference between the highest value and the lowest value A. range   B.mode     C. median           D. arithmetic mean
8. Expand: (y-6)2        A. y2 + 12y + 36         B. y2 – 12y – 36         C. y2 + 12y – 36          D. y2 – 12y + 36
9. Write 2/7 in words       A. two over seven      B. two and seven       C. two – sevenths       D. two – seven
10. What is the smallest number to be subtracted from 175 to make it divisible by 13                                             (a) 25               B. 13                C. 10              D. 6
11. Simplify: 3/4(x + 4) = 2/3(1/4 – x)         A. -8              B. -6                C. -4              D. -2
12. Find the coefficient of pq in the expansion of (4p + 3q)(2p – q)      A. 4         B. 3           C. 2        D. 1
13. Find the product of 1/7  and the sum of 3/5 and 1/2         A. 217/20           B. 27/70          C. 3/10           D. 2/7 
14. Solve: 0 = 32/3P – 22               A. 11                B. 6                 C. 3                 D. 2
15. Solve for ‘a’ in the equation:    a       _     3      = 1                         a – 2      1 + a                    A. 8             B. 4            C. -1             D. -8   
16. 132four  + 123four is ……..         A. 221four               B. 231four             C. 321four               D. 311four    
17. Seven – tenths of an hour is ……    A. 42 mins             B. 45 mins           C. 48 mins         D. 50 mins
18. How many meters are there in d kilometers?          A. 1000d meters                  B. (d + 1000) meters      C. d meters                (d – 1000) meters           
19. If 0.68 is expressed as a fraction in its lowest term, its denominator is …..A. 40    B. 29    C. 25   D. 17
20. Subtract 10012 from 11102 and convert your answer to base 10           A. 3        B. 5         C. 7        D. 8
21. The mean of these numbers: 8, 11,16,3 and x is 9. The value of x is …… A. 11      B. 8      C. 6     D. 7     
22. Remove bracket and simplify: p (p + q) – q(p + q)     A. p2 + 2q2   B.   p2 + q2    C. p2 – 2q2    D. p2 + q2                                
23. A fair die has a …… shape          A. triangular         B. spherical           C. cubical           D. conical
24. Calculate the mean of the following numbers: 1980,1981, 1982, 1983, 1984                                    (a) 1980            B. 1982              C. 1983                 D. 1984
25. Multiply (3 + b) by ( 4 + 2b)    A. 2b2 + 10b + 7   B. 2b2 + 7b + 10   C. 2b2 + 10b + 12   D. 2b2 + 12b + 10
26. Share #3,000 in the ratio 2 : 3 among Tayo and Hamed                  A. Tayo (1,000); Hamed (1,000)      
27. Tayo (500); Hamed (1500)      C. Tayo (1,200); Hamed (1,800)      D. Tayo (1,200); Hamed (1,200)
28. 156180  reduced to its lowest term is ……        A. 9/11            B. 13/15          C. 15/18            D. 26/30
29. Solve for x in 3(x + 2) = 2(x + 2)             A. 4               B. 2               C. -2                D. -4
30. Find the LCM of 6a2, 8a and 4ab         A. 24ab            B. 24ab2             C. 24a2b                 D. 24a2b2
31. Make h the subject of the formula in V2 = 2gh          A. h = V2/ 2gh     B. h = V22g      C. h = 2g/V2     D. h = g/2
32. Make d the subject of formula: V = 3d           A. V/3d           B. V/d              C. V/3            D. V/3d
33. A boy scored 35% in English, 60% in social studies, 58% in mathematics and 73% in basic science. Calculate his mean score         A. 56.5%              B. 46.5%               C. 36.5%                  D. 26.5%
34. Expand: (p + 6)(p – 3)      A. p2 – 3p – 18         B. p2 + 3p – 18         C. p2 + 3p + 18       D. p2 – 6p – 18
35. Solve  MMXXVII – MCMXCII              A. LV            B. XLV         C. XXXV            D. XXV
36. The average attendance at school for 5 days was 264. The attendances on 4 for those days were…….  (a) 264                     B. 274                        C. 284                    D. 294
37. The angles of a quadrilateral are in ratio 6:7:8:9. The largest angle will be ……… (a) 300         B. 720     C. 840               D. 1080
38. Find the missing number, if the addition below is in base nine:     2 4 0       x x x
39.         8  0  1    1 5 2 3nine             A. 462                              B. 472                          C. 373                   D. 272                                                                                                                                                                            
40. Evaluate : 0.22 x 9 
41.                    0.32                       A. 4    B. 6    C. 12     D. 3
42. Which of the following is not a factor of 72?           A. 72    B. 36   C. 24   D. 18     E. 15
43. Find the value of x in the  figure  below (A) 50o    B. 55o    C. 45o    D. 75o  E.  40o
44. The diagonals of a rhombus are 16cm and 12cm long. Calculate the length of its side.   A. 6cm    B.8cm      C. 10cm    D. 12cm     E. 14cm
45. What percentage of 4m is 20cm?     A. 2.5    B. 5     C. 20    D. 30      E. 50
46. If 63/4 is expressed as an improper fraction, its numerator will be (A) 3     B. 4      C. 6     D. 24     E. 27
47. Two angles are said to be complementary if their sum is    A. 600   B. 900    C. 1800    D. 2700    E. 3600
48. A tricycle travels 180km in 4 hours. What is its speed in km/h?   A. 45   B. 84     C. 178     D. 720    E. 1800
49. The area of a triangle is 54cm2. If the height of the triangle is 6cm, find its base.   A. 9cm    B. 12cm                  (c) 21cm              D. 18cm     E. 27cm
50. Convert 1010two to base 10        A. 4   B. 6   C. 8    D. 10    E. 12 
51. What is the missing number if the following addition is in base two?        x x x x x
52.                                                                                                          1 1 1
53.                                                                                                                  1 0 0 1 0 (a) 111111  B. 11110   C. 10110   D. 10101   E. 10011
54. The area of a rhombus is 24cm2. If one of its diagonals is 6cm, find the length of the other diagonal.  A. 2cm    (b) 4cm     C. 8cm      D. 10cm     E. 18cm
55. A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%?  A. #7,600    B.#8,400  C. #9,600       D. #12,600
56. Express 5613ten in base 8   A. 17255         B. 15527        C. 12755     D. 10752       E. 10101
57. In a right-angled triangle, the side opposite the right angle is known as    A. equilateral         B. hypotenuse              (c) obtuse    D. parallel    E. scalene
58. Express 1101two in denary.     A. 50         B. 27        C. 20         D. 13
59. If the area of the plane shape below is 36cm2, find its height             12cm                    A. 3cm    B. 4cm   C. 5cm   D. 6cm   E. 9cm
60. A pencil costs #10 while a dozen costs #100. How much Mrs. Musa would saves if she buys ninety-six pencils at dozen prices?      A. #150    B. #160     C. #180     D. #200     E. #250
61. Find the area of a circle of diameter 14cm. (π= 227)     A. 44cm2   B. 154cm2   C. 308cm2   D. 616cm2
62. If the first common multiple of two numbers is 6, find the fourth common multiple. A. 6      B. 18      C. 24  
    D. 30    E. 36
63. Find the perimeter of a regular hexagon with side 5cm.   A. 20cm    B. 26cm    C. 30cm    D. 36cm
64. A dealer was paid 5% commission on all the recharge cards he sold. If he sold #50,000 worth of cards, how much commission did he get?     A. #1,000   B. #1,500    C. #2,500     D. #5,0000
65. In the figure below, angle SAB  is alternate to angle …     (a) 180o           B.  35o           C.  75o     D. 105o   E.  42o
66. Express 0.000724 in standard form.  A. 7.24 x 10-2     B. 7.24 x 10-3       C. 7.24 x 10-4     D. 7.24 x 10-5
67. Which of the following is not true?   A. rectangles are parallelograms   B. Rhombuses are parallelogram     
    C. Rhombuses are squares             D. Squares are rectangles        E. Squares are rhombuses
68. The price of a television set is reduced from #20,000 to #16,000. Find the percentage discount.   A. 5   B. 10   
    C. 20    D. 30    D. 50  
69. How many vertices does a cube have?   A. 6   B. 8   C. 10       D. 12     E. 16
70. Evaluate 1.44       A. 112   B. 115      C. 12      D. 37     E. 14
71. What is the square root of 49121?        A. 37       B. 47         C. 711         D. 79         E. 911
72. What is the square of the HCF of 60 and 108?       A. 12    B. 30    C. 36      D. 120    E. 144
73. A basket contains 40 mangoes, out of which 22 are good. Find the percentage of the mangoes that are bad.                      
    A. 18     B. 22    C. 24    D. 45    E. 60
74. 81.What percentage of 4m is 20cm?   A. 2.5    B. 5     C. 20    D. 30      E. 50
75. 82.If 63/4 is expressed as an improper fraction, its numerator will be     A. 3     B. 4      C. 6     D. 24     E. 27
76. 83.A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%?  A. #7,600     B. #8,400      C. #9,600   D. #12,600
77. Which of the following is not a factor of 72?      A. 72    B. 36   C. 24   D. 18     E. 15
78. What percentage of 4m is 20cm?   A. 2.5    B. 5     C. 20    D. 30      E. 50
79. 85.If 63/4 is expressed as an improper fraction, its numerator will be     A. 3     B. 4      C. 6     D. 24     E. 27
80. A wrist watch costs #8,000. At what price will Kunle sell it to make a profit of 20%?  A. #7,600     B. #8,400      C. #9,600   D. #12,600
81. A pencil cost #10 while a dozen costs #100. How much Mrs. Musa would saves if she buys ninety-six pencils at dozen prices?        A. #150    B. #160     C. #180     D. #200     E. #250
82. Find the area of a circle of diameter 14cm. (π= 227)      A. 44cm2   B. 154cm2    C. 308cm2    D. 616cm2
83. If the first common multiple of two numbers is 6, find the fourth common multiple.   A. 6   B. 18    C. 24     D. 30    E. 36
84. A dealer was paid 5% commission on all the recharge cards he sold. If he sold #50,000 worth of cards, how much commission did he get?       A. #1,000   B. #1,500    C. #2,500     D. #5,0000
85. Find the value of the angle marked x (A) 60o   B.  45o     C.  175o     D.  18o   E.  15o
86. Express 0.000724 in standard form. A. 7.24 x 10-2   B. 7.24 x 10-3 C. 7.24 x 10-4 D. 7.24 x 10-5 
87. Which of the following is not true?     A. rectangles are parallelograms   B. Rhombuses are parallelogram     
    C. Rhombuses are squares             D. Squares are rectangles           E. Squares are rhombuses
88. The price of a television set is reduced from #20,000 to #16,000. Find the percentage discount.    A. 5   B. 10  
    C. 20    D. 30    D. 50  
89. How many vertices does a cube have?   A. 6          B. 8         C. 10       D. 12     E. 16
90. Evaluate 1.44      A. 112    B. 115      C. 12      D. 37     E. 14
91. What is the square root of 49121?      A. 37   B. 47    C. 711    D. 79    E. 911
92. What is the square of the HCF of 60 and 108?      A. 12    B. 30    C. 36      D. 120    E. 144
93. A basket contains 40 mangoes, out of which 22 are good. Find the percentage of the mangoes that are bad.   
    A. 18     B. 22    C. 24    D. 45    E. 60
94. Simplify 12 x 1084 x 105 and leave your answer in ordinary form.  A. 3000    B. 1000   C. 2000  D. 30000   E. 4000

THEORY:     Instructions: Answer five questions. No 1 and 2 are compulsory

1. Solve the simultaneous equation 
   • 5x-2y  = 11 …(1)
   • 4x-3y  =  6  …(2)
2. Using:      (a)Substitution method     (b)Elimination method     (c)Graphical  method         

1.       Calculate the mean age
2.       Find the median
3.       Obtain the mode
4. (a) Find the area of the plane shape below 10cm   13cm15cm
5. (b)    find the sum of the length and the breadth of  a  rectangle whose length is twice the breadth and area  equal
   to 72cm2
6.  (c)    A cylindrical tank of storing oil has a capacity of 1078m3. If its height and its radius are equal, calculate the depth of oil in the tank when full.  (Take = 22/7)
7. (a)      calculate the angle of elevation of  a man 6m away from the base of a tree 8m tall.
8.      (b) The table below is the colour of cars used in a particular school.
9.  How many cars are in the school?
10.  Draw a bar chart to represent the data.
11.  Identify the popular colour
12.  The statistical name for the popular colour is called.
13.  Find the probability of selecting the popular colour.
14.  The volume of a given mass M varies directly as its  temperature and inversely as its pressure. If the volume is 30cm3 when its temperature is 10k and pressure 40mmHg, calculate:
15. The constant of proportionality
16. The formula connecting them
17. The pressure when the volume is 50cm3and temperature 2k.             
18. 5b)     Find the value of y in the figure
    
19. 6a)  D is partly constant and partly varies with V. When V = 40, D =150 and when V = 54, D = 192.
    •     (i) Find the formula  connecting D and V.
    •      (ii) Find D when V = 73.
20. b)  I added 18 to 3 times a number, the result is equal to 5 times the number. What is the number ?
21. c)  Solve the equation:
    •               X – 4 – 2 = -X
    •                  5                2
22. (7 )    Show that triangles ABC  and XYZ are similar and hence find sides AB & XZ