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## jss 3 exams questions

```
MOCK EXAMINATION, 2010/2011 SESSION.
SUBJECT: MATHEMATICS 2 (THEORY)
CLASS: JSS 3      	     	   TIME ALLOWED: 2HRS

INSTRUCTION: Answer ALL the questions.
1a. The total resistance R, ohms, of two resistances x ohms and y ohms connected in parallel is given by the formula
1/ R = 1 / x    + 1 / y
Obtain a formula for y in terms of R and X
Find the value of y if x = 2 ? and R = 2 ¼
1b. Simplify ( 9.1 x 10-5 )  ÷ ( 7 x 10-3 ) and leave your answer in standard form
2. A stone rolls 300m down a slope. As it falls, it drops 120m vertically. Calculate the angle of slope (a)
120m
aaa

b. If Cos ø = 5/13   , find, using Pythagoras theorem, the values of
i) Sin ø                    ii) Tan ø
3a. Y varies directly as T and inversely as the square of D. When Y = 2 , T=4 and D =3
Find the relationship between Y,T and D
If Y = 10 and T = 5 , Find the value of D
b. b.   The sides of the parallelogram in the given diagram below are in cm.
2x + y
3y-2x                                   4x -3
5y-8
Find x and y and the perimeter of the parallelogram

MOCK EXAMINATION, 2010/2011 SESSION.
SUBJECT: MATHEMATICS 1 (OBJECTIVE)
CLASS: JSS 3      	              TIME ALLOWED: 2HRS

INSTRUCTION: Answer ALL the questions.
Write 3.74 X 10-4 in ordinary form
0.0000374      B. 0.000374       C. 0.00374         D. 0.0374       E. 0.374
Simplify      1½ X 1 ¾
1 ?
A.1 1/14        B. 1 1/7        C. 1 5/7      D. 1 4/5       E. 2 2/5
Express 152300 in standard form.
A.1.523 X 101        B. 1.523 X102        C. 1.523 X 103      D. 1.523 X104    E. 1.523 X105
4. Calculate the sum in base 3 of 123, 1103 and 213
A. 2003     B. 2113       C. 2203         D. 2213        E. 2223
5. If N5000 is shared in the ratio of 2: 3: 5, what will be the highest share?
A. N1000      B. N1500     C. N2500    D. N3000     E. N3500
6. Change 10112 to a base 10 number
A. 1      B.  11       C. 101            D. 111       E. 1011
7. Sin ø = 0.6892. Find the value of ø correct to 1 decimal place.
A. 50.30       B. 43.60      C. 40.50      D. 38.60       E. 29.50
8. 5 boys clear a plot in 3 days. In how many days will 2 boys clear the same plot?
A. 4 days    B. 4 ½ days    C. 5 days      D. 6 ½ days     E. 7 ½ days
9. A hexagonal prism has --------------- edges and ------------ vertices
8,8     B. 12,8       C. 14,10        D. 18,12         E. 18,16
10. If  T  = DA , Express A in terms of T, S and D
S
TD        B.  TS       C. T-S          D. T +S           E. T-D
S                D               D                   D                    S

11. Find the slant height of a cone if its vertical height is 12cm and base diameter 10cm.
A. 22cm        B. 13cm        C. 10cm          D. 9cm       E. 2cm
12. Find the value of x if 2/3 (x +3 ) > 6/2
A. X > ½     B. X > 1 ½    C. X > 3    D. X > 7      E. X > 9
13. Find the value of 1.5   x 7.2 + 1.5 x 2.8
A. 10      B. 15       C. 28         D. 34       E. 37
14. Simplify    K-1  +    k+1
4              3
K-7          B. k + 7          C. 7k – 1          D. 7k + 1         E. k – 7
12                    12                    12                     12                 12
15. Given that tan300 = 0.577, sin 300 = 0.500 and cos 300 = 0.866 , find the value of h in the triangle below

h

ø
20m
A. 10m      B. 11.54m        C. 17.32m        D. 23.09m        E. 34.66m
16.  The following are the properties of a parallelogram Except that
A. Opposite angles are equal
B. Opposite sides are parallel
C. The diagonals are parallel
D. The diagonals bisect each other
E. The sum of its angles is 3600.
17. The difference between two positive integers is 4 and their sum is 12. Find the two positive integers.
A. (12, 6)     B. (10,5 )      C. (8,4 )       D. (6,3 )    E. (4,2 )
18. Factorize the expression:  5xy – 8by -10ax + 16ab
A. (y-2a) (3b +y)       B. (y + 3b ) (5x – 8b)    C. (y-2a ) (5x – 8b )
D. (y-3b) (5x -8b)    E. (y+3b) (5x + 8b)
19. Find the simple interest on N450 for 2 ½ years at 2 %
N2.50     B. N10.50        C. N18.70        D. N20.05        E. N22.50
20. A village is 10km on a bearing 0500 from a point O. Calculate how far the village is North of O.
A. 4.4 km       B. 6.4km          C. 6.6km       D. 6.7km      E. 7.1km
21. The angle of elevation of the top of a building from a point 80m away on a level ground is 250. Calculate the height of the building to the nearest meter.
A. 30m      B. 33m      C. 37m         D. 38m        E. 50m
22. If the area of a rectangle is 144cm2 and its breadth is 6cm, find the perimeter of the rectangle.
A. 12cm       B. 24cm        C. 30cm    D. 60cm       E. 144cm
23. Find the length of the diagonal of a rectangle whose length and breadth are 8cm and 6cm respectively.
A. 7cm       B. 10cm       C. 11cm       D. 12cm      E. 15cm
24. Find the LCM of 6ab and 5b2.
A. 3ab2      B. 6ab          C. 30b2        D. 30ab2         E. 36ab2
25. Solve the equation:  3/2u – 4 = 3 – 9/u
A. 1 ½       B. 1 1/3         C. 1       D. -1/2    E. -1 ½
26. If P varies inversely as q, and q = 8 when p = 2, find the law connecting p and q .
A. p = 16/q        B. p = q/16         C. q = 16/2 p      D. q = p/16        E. p = 4q
27. Divide 36 by the positive difference between the product of 3 and 6 and the square root of 36.
A. 3       B. 5          C. 6          D. 7         E. 12
28. Simplify   m-1    -     m +1
6                 8
m-7          B. m +7           C. m -7m             D. -7            E.    m
24                     24                    24                    24                   24
29. If tan ø = ¾, what is the value of cos ø?
A. 3/7     B. 7/4           C. 4/5           D. 5/4           E. 3/5
30. Express 64800 in standard form.
A. 0.648 x 105              B.6.48 x 104         C. 64.8 x 103       D. 6.48 x 104   E. 6.48 x 103
31. Factorize t2 -10t + 24
A. (t-3 ) (t – 8 )         B. (t+4 ) ( t + 6 )      C. (t + 4 ) ( t – 6 )       D. ( t- 4 ) ( t + 6 )
E. (t -4 ) ( t – 6 )
32.   A student scored 78 marks out of a maximum of 120. Express the students mark as a percentage of the maximum marks.
A. 58%          B. 65%         C. 68%           D. 72%            E. 78%
33. Convert 14 ten to a binary number
A. 1001           B. 1101         C. 1110         D. 1111        E. 11001
34. Expand (3x + 1) 2
A. 9x2 + 1            B. 6x + 1       C. 9x2 + 3x +1        D. 9x2 + 6x + 1      E. 6x – 2
35. A man is four times as old as his son. Five years ago the sum of their ages was 40 years. What is the age of the son?
A. 6 years        B. 10 years       C. 13 years       D. 17 years        E. 23 years
36. The perimeter of a square is 6m. What is the area of the square?
A. 4m2        B. 6m2         C. 9m2       D. 2.25m2          E. 36m2
37. One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?
A. 80cm2      B. 48cm2          C. 40cm2        D. 36cm2        E. 24cm2
38. The angle of elevation of a point on a tower from a point U on the horizontal ground is 300. If TU is 54m, how high is T above the horizontal ground.
A. 108m       B. 72m      C. 46.3m          D. 31.2m           E. 27m
39. If Sin ø = 0.6892. Find the value of ø correct to 1 decimal place.
A. 50.30           B. 43.60       C. 40.50         D. 38.60        E. 29.50
40. Find the slant height of a cone if its vertical height is 12cm and base diameter is 10cm.
A. 22cm       B. 13cm        C. 10cm         D. 9cm         E. 2cm
41. Find the supplement of angle 1080.
A. 720     B. 600       C. 520        D. 280       E. 180
42. Which of these angles is a reflex angle?
A. 350     B. 800        C. 950           D. 1050          E. 2300

43. Solve for y in the equation 3 (3y – 1) = 4 (y  + 3 )
A. 2               B. 3              C. 4          D. 5             E. 6
44. A hat is bought for N25 and sold for N20. What is the Percentage loss?
A. 5%           B. 10%         C.   15%          D. 20%          E. 25%
45.   In a frequency table, the value that has the highest number of occurrences is called the
A. Mean            B. Median          C. Mode         D. Average         E. Frequency
46. 5 rubbers cost 60k and 8rubbers cost 96k. Find the cost of 9 rubbers.
A. N1.08k        B. N1.20k         C. N1.72k          D. N1.56k        E. N5.40
47. Four of the angles of a pentagon are 700, 900, 1000 and 1450, what is the size of the fifth angle?
A. 450         B. 650         C. 900        D. 1250         E. 1350
48. Make r the subject of the formula A = 2prh
A. prh         B . 2Ahp          C. A / 2h           D. 2ph / A    E. rh /2A
49. Factorize b2 -7b – 18
A. (b-2)(b-9 )         B. (b + p )( b – 2 )       C. (b-8 ) ( b-2 )    D. (b + 9 ) ( b + 2 )
E. (b-9) (b + 2 )
50. If X varies directly as Y, and if X = 9, when Y = 45. Find x when y = 40
A. 8       B. 16          C. 9           D. 12           E. 4
51. The sum of  9 and a certain number is one and a half times the original number. Find the number.
A. 9          B. 4 ¼     C. 36           D. 18            E. 27
52. Change the number 10010 two to base ten
A. 40 ten       B. 34 ten       C. 10 ten        D. 18 ten          E. 11 ten
53. The sum of the three consecutive even numbers is 72. The highest of the three numbers is      A. 12         B. 14            C. 22        D. 24         E. 26
54. The bearing of X from Y is 1240 . What is the bearing of Y from X.?
A. 560      B. 1240          C. 2360         D. 3040         E. 3400

55. Express the product of 0.06 and 0.09 in standard form.
A. 5.4 x 10 -3         B. 5.4 x 10-4       C. 5.4 x 101        D. 5.4 x 102          E. 5.4 x 103
56.  2 (x2)3 is equal to
A. 8x6       B. 2x5        C. 2x6       D. 4x6          E. 2x 3/2
57. Which one of the following is equal to Sin 600?
A. sin300        B. tan 600       C. cos 600      D. tan 300      E. cos 300
58. Two exterior angles of a triangle are 1150 and 1400. Find the third unequal exterior angle.
A. 450       B. 600      C. 900       D. 1000     E. 1050
59. Solve the equation for y
2y-1    _      3-y     =   y
3                  2           4
-22          B.- 2           C. -2 2/5            D. 2          E. 22
60. Find the coefficient of ab in the expansion of (5a + 2b) (4a – 3b)
5       B. -5        C. 7           D. -7          E. 8
61. X is partly constant and partly varies as y. when y =2, x = 30, and when y = 6, x =50. Find x when y = 3
A. 26        B. 28         C. 30           D. 35          E. 38
62. Oyinkan runs 3km due East and then 4.1km south west. How far is he from the starting points?
A. 1.6km       B. 2.1km        C. 2.5km        D. 2.7km          E. 2.90km
63. Use your table to calculate the value of sine 850 45’
A. 0.9973         B. 1.9973          C. 0.9982         D. 1.9982         E. 1.0972
64. If y = x2 – 2x -3. Calculate the value of y when x = -2
A. -11        B. -3            C. 6         D. 5           E. 3
65. Calculate the H.C.F. of 4, 8, and 12
A. 2         B. 4        C. 24           D. 48              E. 72

66. Simplify   3 ½  + 7/3
1  + 1/3
2            B. 4             C. 6 1/8             D. 12 ¼           E. 1 1/8
67. Write 0.035 million as a whole number.
A. 35             B. 350           C. 3,500         D.  35,000           E. 35,000,000
68. When x is added to a number which is four times as big, the result is 30. What is the value of x?
A.3              B. 4              C. 5              D. 6            E. 30
69. Solve 3x – 7 < 2
A. x > 2        B. x < 3           C. x = 5         D. x > 7       E. x < 9
70. Use tables to find the angle whose cosine is 0.883
A. 270     B. 280            C. 290                D. 300              E. 310
A test with a maximum score of 10 was given to a class of students. The table below shows the result. Use this table to answer questions 71 &72
Score
0
1
2
3
4
5
6
7
8
9
10

No of students
2
1
2
1
2
2
1
5
2
3
0

71. How many students took the test?
A. 5              B.10        C. 11          D. 20           E. 21
72. What is the mode of the distribution?
A. 3              B. 5            C. 7             D. 9               E. 10
73. Find the missing number, if the addition below is in base nine
240 + xxx + 801    = 1523 nine
5729      B. 4729        C. 4629           D. 3729          E. 2729
74. Simplify 70x-8   ÷ 14x-13
A. 5x-5        B. 5x-21       C. 5x3       D. 5x5     E. 5x21

75. I think of a certain number, if I multiply it by 6 , add 8 to the product and double the sum , I will get 40. What is the number?
A. 2          B. 3            C. 5            D. 6             E. 7
76. Remove the brackets and then simplify 3 (2x -3) – (2x + 2)
A.  4x – 7           B. 4x – 9          C. 4x-10         D. 4x – 11        E. 4x + 11
77. Find the value of m in the equation  4 (m – 1 ) -2 (m + 3 ) = 0
A. 2         B.3           C. 4            D. 4       E. 5
78. Find the perimeter of the figure below
100cm
A                                                                                                           B
30cm
60cm                                                              D
40cm

F                                                          E
320cm                B. 260cm              C. 240cm               D. 140cm          E. 200cm
79. Find the circumference of a circle whose radius is 14cm. Take p = 22/7
A. 616cm         B. 196cm          C. 88cm             D. 44cm           E. 22cm
80. Find the length of the side marked x in the figure
Q

X                                                  28cm
P
35cm                                                        R
12cm                   B. 15cm                          C. 17cm                   D. 21cm               E. 25cm

```

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