GONZAGA JESUIT COLLEGE

FIRST TERM EXAMINATION 2024/2025

SUBJECT: MATHEMATICS
CLASS: SS1 TIME: 1 HOUR 30 MIN
INSTRUCTION: ANSWER ALL QUESTIONS IN SECTION A&B.

1. What is the binary equivalent of the C. 165

decimal number 25? D. 171

A. 11001 6. Which of the following binary numbers

B. 10101 equals 15 in decimal?
C. 11101
D. 10011 A. 1111
B. 1001
2. Convert the hexadecimal number A3 to C. 1101
decimal. D. 1011

A. 163 7. Convert the decimal number 45 into

B. 160 binary.
C. 170
D. 165 A. 101101
B. 10111
3. Which of the following is the binary C. 10101
equivalent of the decimal number 16? D. 11101

A. 10000 8. What is the result of adding 1101 (binary)

B. 11000 and 1011 (binary)?
C. 11100
D. 10100 A. 11000
B. 11100
4. What is the base 10 equivalent of the C. 10000
binary number 10110? D. 11110

A. 25 9. Which of the following is the correct

B. 26 conversion of the decimal number 100 to
C. 24 binary?
D. 27
A. 1100100
5. What is the octal equivalent of the binary B. 1001100
number 1101101? C. 1111100
D. 1010000
A. 155
B. 1557 10. Convert the binary number 1110 to
decimal.
A. 14 16. What is the sum of the hexadecimal
B. 16 numbers A7 and 4B?
C. 12
D. 15 A. F2
B. F1
11. What is the sum of the binary numbers C. A8
10101 and 11011? D. C2

A. 110000 17. Which hexadecimal number is

B. 111000 equivalent to the binary number 11011001?
C. 110010
D. 100000 A. D9
B. D8
12. What is the hexadecimal equivalent of C. E9
the binary number 11011011? D. C9

A. 1B 18. Convert the hexadecimal number B8 to

B. 1C decimal.
C. 1A
D. 1D A. 184
B. 190
13. What is the decimal equivalent of the C. 195
hexadecimal number 3F? D. 180

A. 63 19. What is the result of multiplying the

B. 64 numbers 4 and 5 in hexadecimal?
C. 60
D. 62 A. 14
B. 16
14. Convert the decimal number 255 to C. 18
hexadecimal. D. 20

A. FF 20. What is the hexadecimal equivalent of

B. FA the binary number 111011?
C. FE
D. F1 A. 2E
B. 2F
15. Which of the following is the correct C. 3E
hexadecimal representation of the decimal D. 3F
number 25?
21. Convert the hexadecimal number 1C to
A. 19 decimal.
B. 1A
C. 20
D. 21
A. 28 27. What is the value of 0 0?
B. 30
C. 32 A) 1
D. 34 B) 0
C) 5
22. Which of the following hexadecimal D) Undefined
numbers equals 150 in decimal?
28. If 9(2−x)=3 , find x
A. 96
B. 99 A. 1
C. 9A 3
D. 9C B.
2
C. 2
23. What is the result of subtracting 9C from 5
1F8 in hexadecimal? D.
2
A. 124 29. Find the value of x in the equation
B. 120 x
4 =32?
C. 128
D. 126 A. 1.5
B. 2
24. Which of the following hexadecimal C.2.5
numbers equals 99 in decimal? D. 4
A. 63 30 Which of the following is a law of
B. 64 indices?
C. 63
D. 66 A. am x an = am+n
B. am/n = √n am
25. Which of the following is the correct
C. am – an = am-n
simplification of x 4 × x 3?
D. am÷ an =¿ am+n
A) x 7
31 According to the laws of indices, what is
B) x 1 2
am×an?
C) x 6
D) x 8 A. am+n
B. am-n
5
y C. amn
26. Simplify: 2
y D. am/n

A. y
3 32. Solve these equation simultaneously
B. y
7 and
6
C. y
D. 2 A. x = -1, y =-1
y
B. x = -1, y =1
 C. x = 1, y =1 38. Find the logarithm of 0.001 to the base
D. x = 1, y =-1 10.

33. Simplify 3 ×3 x =27 , find x A. -3

B. -2
A. 1 C. -1
B. 2 D. 3
C. 3
D. 4 39. Simplify log x 8−log x 2 + log x 4 ?

4 x A. log x 2
34. Simplify this equation =64 , find the
2
x B. log x 4
value of x C. log x 16
D. log x 256
2
A.
7 40. Simplify log 10 √ 1000
2
B. -
7 3
7 A.
2
C.
2 1
7 B.
2
D. -
2 C. 3
2
D.
35. Find the value of x, 10−x =0.000001 3

A. -6 41. What is the logarithm of 1 to the base

B. 6 10?
C. -5
D. 5 A. 1
B. 0
36. Solve for x in the equation C. 10
2x
3 −12(3¿¿ x)−27=0¿ ? D. Undefined

A. 3,9 42. Evaluate 2 + log 10 20−log 10 2.

B. 2,1
C. -3,9 A. 2
D. -1,2 B. 3
C. 4
37. Simplify log 4 + log 8? D. 5

A. log 32
B. log 12 43. Simplify log 10 ( 1258 )−2 log 10
5
( )?
4
C. log 23
1 A. 16
D. log
2 B.10
C. 4 A. 0.5943
D. 1 B. 0 .5949
C. 1 .9273
44. Simplify log 10 √ 65+log 10 √ 2−log 10 √ 13. D. 1.9273

A. 1 50. Using your log table, find the logarithm

1 of 0.00201 .
B.
5
1 A. 3 .3032
C. B. 3.3203
2
1 C. 0.3032
D. D. 2 .3203
4

1 51. Find the antilog of 2 .4472?

45. if log x 4= , find x?
2
A. 0.28
A. 4 B. 0.028
B. 8 C. 0.0028
C. 16 D. 2.8
D. 1
52. Using logarithm table, 7031÷ 4.911.
46. If log 2 = 0.3010, what is log 64?
A. 1432
A. 1.606 B. 143.2
B. 1.706 C. 14.32
C. 1.806 D. 1.432
D. 1.506
53. Using logarithms, find the square root of
47. If log 2 = 0.301, evaluate log 0.2 64.

A. 0.301 A. 8
B. 0.699 B. 6
C. -0.699 C. 4
D. -0.301 D. 2

54. Use logarithms table to evaluate 0.5624

48. Given that log( y−2)3=64, without
× 0.0378.
using mathematical table, find y?
A. 0.02125
A. 2
B. 2.2125
B. 4
C. 0.2125
C. 6
D. 2.125
D. 8

1.7821 55. Using logarithms, evaluate (42.95)3 .

49. Simplify
3
A. 1.6330 A. The set of natural numbers
B. 4.899 B. The set of prime numbers
C. 79250 C. The set of months in a year
D. 7925 D. The set of integers

56. Using log table, evaluate √4 0.00692. 62. If

U { 1 ,2 , 3 , 4 , 5 } , P= {2 , 3 ,5 } , Q= {1 , 2 ,3 } find the complement
A. 3 . 8401
B. 1 .4600 A. {2,3,5}
C. 0.2884 B. {2,4,5}
D. 2.884 C. {1,4,5}
D. {1,3,5}
57. If log 5.957 = 0.7750, find log
∛ 0.0005957 ? 63. Let the universal set U be the set of
integers, U = { x : 0< x ≤ 10 } . What is the
A. 4 .1986 elements of set B, if B =
B. 2 .9250 { x : x ϵ U , x is not divisible by 3 } ?
C. 1 .5917
D.1 .2853 A. {1,2,3,4,5,6,7,8,9,10}
B. {3,6,9}
58. Use logarithm table to evaluate C. {1,2,4,5,7,8,10}
0.0751 D. {2,4,6,8}
√ .
0.00784
64. If U =
A. 3.095 { positive numbers less than20 } , P= {multiples of 4 } , Q={ multi
B. 0.4907 ?
C. 2 .8756
D. 3 .8943 A. {4,6,8,12,16,18}
B. {6,12,18}
59. Evaluate (0.07392)4 using log table. C. {4,6,12}
D. {12}
A. 0.00002826
B. 0.002862 65. If P = { 3 , 9 , 11,13 } and Q = { 3 , 7 , 9 ,15 }
C. 0.0002862 are subsets of the universal set U =
D. 2.862 { 1 , 3 ,7 , 9 , 11, 13 ,15 }. P' nQ' ?

60. Find the antilog 0.6072. A. {1}

B. {3,9}
A. 0. 4048 C. {5,7,15}
B. 4.048 D. {1,11}
C. 40.48
D. 404.8 66. If A = { 1 , 3 ,5 , 7 , 9 } and B = {2,4,6,8,10}
are subsets of the universal set U =
61. Which of the following is an example of { 1 , 2, 3 , 4 ,5 , 6 , 7 , 8 , 9 ,10 }, what are the
a finite set? elements of A' n B' ?
A. { 1 , 3 ,5 , 7 , 9 } A. Two circles that do not overlap
B. { 2 , 4 , 6 , 8 , 10 } B. Two circles that completely overlap
C. ∅ C. Two circles that partially overlap
D. { 1 , 2, 6 , 8 , 10 } D. A single circle

67. Given that P ={ x :1 ≤ x ≤ 6 } and Q = 72. If the universal set is U={1,2,3,4,5}, and
{ x : 2< x<10 }, where X is an integer. Find A={1,2}, what is the complement of A?
n(PnQ)?
A. {1,2}
A. 4 B. {3,4,5}
B. 6 C. {4,5}
C. 8 D. {1,2,3}
D. 10
73. Solve the equation 2x+3=11.
68. Which of the following is an example of
an infinite set? A. x=4
B. x=5
A. The set of subject you offer in SS1 C. x=6
B. The set of prime numbers less than 20 D. x=8
C. The set of months in a year
D. The set of integers 74. Solve for these equations
simultaneously, x +2 y=5and x +3 y=8 .
Use this information to answer 69-70 let U =
{ 3 , 6 , 9 , … , 45 }, A= { y : y <22 }, B = A. x=-1; y=3
{ y : y is a factor of 45 } , where yϵ U B. x=1; y = -3
C. x=3; y = -1
D. x=-3; y = 1
69. Find n(U)?
75. Solve the equations, 3 x−2 y=7 ;
A. 12
x +2 y=−3. Find (x+y)?
B. 15
C.18
A. 1
D. 21
B. -1
C. 3
70. Find AuB?
D. -3
A.
76. Solve the equation, 3 x+ y=25 , xy=8.
{ 3 , 6 , 9 ,12 , 15 , 18 ,21 , 24 , 27 , 30 ,33 ,36 , 39 , 42 , 45 }
What is (x,y)
,
B. { 3 , 6 , 9 ,12 , 15 , 18 ,21 },
C. { 3 , 9 , 15 , 45 },
D. { 3 , 6 , 9 ,12 , 15 , 18 ,21 },

71. Which of the following is the correct

Venn diagram representation of the union of
sets A and B?
 1 1
A. (8,1) or ( , 1 ¿ C.
3 2
1 1
B. (1,8) or (1, ) D. -
3 2
1
C. (-8,-1) or (-1, - ¿
3 82. For what value of x is the expression
−1 2 x+2
D. (-1,-8) or ( ,−1 ¿ not defined
3 ( x−2)(x +3)

77. Solve 2x−4=8 A. x=4 or -2

B. x=3 or -2
A. x=4 C. x=2 or -3
B. x=6 D. x=2 or -4
C. x=7
D. x=2 83. Solve the equation 8x+12=4.

78. Factorize (25 b 2−4 a2) A. x=3

B. x=4
A. (5 b−2 a)(5 b+2 a) C. x=5
B. (2 b−5 a)(5 b+2) D. x=2
C. (5 b−2 a)(5 b−2 a)
D. (5 b+2 a)(5 b+ 2 a) 84. Solve 2(x+4)=3x+10.

79. Factorize x 2+ 7 x+10 ? A. x=4

B. x=3
A. (x+2)(x+5) C. x=5
B. (x-2)(x-5) D. x=-2
C. (x+2)(x-5)
D. (x-2)(x+5) 85. Simplify the expression: 3x+5x−2x.

80. Factorize n2 +24 n−81 . A. 6x

B. 8x
C. 5x
A. (n-3)(n+27)
D. 7x
B. (n+3)(n-27)
C. (n-9)(n-9)
2x
D. (n+9)(n-9) 86. Given that y =1 - , find the value
4 x−3
81. Find the value x for which the fraction of x for which y is undefined?
x+1
is undefined A. 3
2 x−1
3
B.
4
A. -2
3
B. 0 C. -
4
D. -3
87. When do we say that the algebraic A. 101003
fraction is undefined? B. 111003
C. 111013
A. When the denominator is equal to zero D. 10110 3
B. when the numerator is equal to zero
C. when the denominator is greater than zero 92. If 4 3 x =16x +1, Find the value of x
D. when the numerator is greater than zero
A. 2
88. Given A= { 1 , 3 ,6 , 8 , 9 , 12 ,15 } and B = B. 3
{ 6 , 9 , 12 } which of the following statement is C. 4
true? D. 5
A. B⊂ A 93. 0.03249 in standard form to 3 significant
B. AnB=∅ figure.
C. A and B are disjoints sets
D. B is a complement of A A. 3.24 × 10−1
B. 3.24 × 10−2
89. What does the shaded part represents?
C. 3.25 ×10−2
D. 3.25 ×10−3

94. Express ¿) ÷ 10− 4.

A. 1.6
B. 0.16
C. 16
D. 160

95. Express 0.0004532 in standard form?

A. (AUB)
B. (AnB) A. 4.532 ×10 4
C. (A’UB) B. 4.532 ×10 3
D. (AUB)’ C. 4.532 ×10−3
D. 4.532 ×10−4
90. If log 2 = x, log 3 = y and log 7 = z, find
28
in terms of x, y and z, the value of log ( ) . 96. Simplify (2.66 ×10 5) + (3.1 ×104 ).
3
A. 297000
A. 2x +y-z
B. 57600
B. 2x+z-y
C. 276000
C. x+y-2x
D. 52300
D. x+z-y
97. 48493 can be written as .
91. Change 4325 to a number in base three
A. 48493 × 104
B. 4.84 ×104
C. 4.85 × 104 99. Which of the following is true about the
D. 4.9 × 104 hexadecimal number system?
A. It only uses digits.
98. What is an index (or exponent) in B. It can represent values using letters.
mathematics? C. It is the same as the binary number
A. A method of multiplying numbers system.
B. A way to express repeated multiplication D. It only works for whole numbers.
C. A representation of a number's position
D. A type of equation 100. Evaluate 369000÷ 0.00164 leaving the
answer in the standard form

A. 22.5×108
B. 2.25×10-8
C. 2.25×10-7
D. 2.25×108

THEORY
1. Solve the following using logarithm table
√
3
a) 4
1.376
(10 marks)
√ 0.007
2
(17.2) × 4.93
b) 3
√ 6750

2. In a class of 45 students, 25 take Economics and 21 take Home Management. If 3 take

neither of the two subject.

i) Represent this information on a Venn diagram.

ii) How many students take Economics only?
iii) How many students take Home Management only? (10 marks)
iv) How many students offered all three subjects?

3. If U = { 3 , 4 ,5 , 6 , 7 , 8 , 9 }, A = { 7 , 9 } and B = { 3 , 4 }

'
i) A
ii) AUB (10 marks)
iii) AnB
'
iv) ( AUB)
v) ( AnB )'
 2
x +12 x+ 36
4. Find the value of x for which 2 is undefined (10 marks)
x −3 x−10