Mathematics First Term Examination JSS 2

EXAMINATION

Subject: Mathematics
Class: JSS 2 SECTION A
Time: 2hrs

SECTION A

1. List all the factors of 20.
(a) 1, 3, 4, 5, 15, 20
(b) 1, 2, 4, 5, 10, 20
(c) 0, 2, 4, 6, 10, 20
(d) 1, 4, 10, 20

2. Express 48 as a product of its prime factors.
(a) 23 x 3
(b) 24 x 3
(c) 25 x 30
(d) 32 x 24

3. Express 125 as a percentage of 500.
(a) 40%
(b) 25%
(c) 60%
(d) 30%

4. Express 60% as a fraction in its simplest form.
(a) 3
(b) 4
(c) 3/5
(d) 1/5

5. In a school of 400 students, 260 are girls. What percentage of the students are boys?
(a) 42.5%
(b) 35%
(c) 38.5%
(d) 21.5%

6. The total number of students in a school is 720. There are 300 boys in the school. What is the ratio of girls to boys?
(a) 7:5
(b) 2:3
(c) 5:7
(d) 3:2

7. Evaluate: 15 – 3 – (+17).
(a) -5
(b) -10
(c) 10
(d) 5

8. Evaluate √32.
(a) 134
(b) 11/4
(c) 12.3
(d) 8

9. If x = -3, y = -5, evaluate xy + (x – y).
(a) 12
(b) 4
(c) -5
(d) -10

10. Which of these numbers are odd numbers? 7, 2, 6, 13, 15, 17, 8
(a) 7, 2, 8, 9
(b) 2, 6, 8
(c) 9, 7, 8, 17
(d) 7, 9, 13, 15, 17

11. Express 3.26 x 10² in ordinary form.
(a) 3260
(b) 326
(c) 0.326
(d) 3406

12. Express 0.0075 in standard form.
(a) 7.5 x 10⁻³
(b) 7.5 x 10⁰
(c) 7.5 x 10⁻²
(d) 7.5 x 10⁻¹

13. Simplify: (2x – 4) x 5x².
(a) 10x⁷
(b) 10x⁻²
(c) 15x²
(d) 8x⁻⁴

14. Simplify: 3x² x 7x³ x x⁴.
(a) 21x⁹
(b) 21x⁶
(c) 21x⁴
(d) 21x⁷

15. Round off 42.06823 to 3 decimal places.
(a) 42.068
(b) 42.07
(c) 42.16
(d) 42.06

16. Change 51 to a decimal number.
(a) 5.24
(b) 5.025
(c) 50.25
(d) 4.025

17. If P = -5, Q = -3, evaluate: 7P + 2Q.
(a) -29
(b) 29
(c) -11
(d) 111

18. Simplify: 2x⁶ x 4x².
(a) 8x⁶
(b) 8x⁸
(c) 2x⁸
(d) 8x⁴

19. Solve for x: x + 20 = 32.
(a) 15
(b) 12
(c) 10
(d) 8

20. Evaluate √100 − 36.
(a) 4
(b) 10
(c) 8
(d) 6

21. Simplify: 10a – (3a + 1).
(a) 7a – 1
(b) -13a – 1
(c) 7a + 1
(d) 13a + 1

22. Factorize: x²y³ – xay².
(a) xy²(xy – a)
(b) x²y³(xy – xa)
(c) xy(x²y¹ – xa)
(d) x – y(xy + a)

23. Simplify: 3x⁵ x 4x³.
(a) 12x
(b) 4x⁵
(c) 6x¹²
(d) 2x⁵

24. Find the LCM of 12, 36, and 48.
(a) 124
(b) 104
(c) 200
(d) 144

25. Solve for x in x – 10 = 15.
(a) x = 10
(b) x = 25
(c) x = 5
(d) x = -10

26. Express 56 as an improper fraction.
(a) 7/4
(b) 2/4
(c) 4/5
(d) 3/7

27. Express 40% as a fraction in its lowest form.
(a) 2/5
(b) 4/5
(c) 3/5
(d) 3/7

28. Find the prime factors of 600.
(a) 23 x 5
(b) 22 x 3 x 5
(c) 22 x 31 x 5²
(d) 23 x 32 x 5⁴

29. 33 x 42 x 50 = y, what is the value of y?
(a) 331
(b) 330
(c) 332
(d) 342

30. Multiply: 24.5 x 0.5.
(a) 12.40
(b) 11.12
(c) 12.25
(d) 21.05

31. Let B = 5, C = 8. Find the value of B + C – B.
(a) 10
(b) 13
(c) 8
(d) 20

32. Find the value of: 5 – 2 x 30.
(a) 120
(b) 225
(c) 125
(d) 15

33. Change 4 to a decimal number.
(a) 0.55
(b) 0.25
(c) 0.8
(d) 0.45

34. Multiply: 0.06 x 0.28.
(a) 0.0168
(b) 0.289
(c) 0.520
(d) 3.205

35. A student writes 32 lines of a letter. Each line has 14 words. Estimate, to 1 significant figure, the number of words the letter contains.
(a) 412 words
(b) 420 words
(c) 400 words
(d) 410 words

36. Solve for y in: y + 30 – 10 = 42.
(a) y = 22
(b) y = 16
(c) y = 10
(d) y = 40

37. Change 2/5 to a decimal number.
(a) 0.08
(b) 0.8
(c) 0.16
(d) 0.4

38. Find the HCF of 16, 24, and 32.
(a) 6
(b) 8
(c) 4
(d) 16

39. Simplify: 3 + 5 x 2.
(a) 2
(b) 4
(c) 3
(d) 14

40. Evaluate: 3x x 4y.
(a) xy
(b) 1
(c) 24xy
(d) 4xy

SECTION B

Answer three questions only from this section. Each question carries equal marks.

1. (a) List all the factors of the following numbers:
(i) 48
(ii) 96
(iii) 120

(b) Express the following numbers as products of prime factors:
(i) 36
(ii) 200

2. (a) If A = 4, B = -5, and C = 6, evaluate:
(i) A + B + C
(ii) B – A + C

(b) Write down the prime factorization of the following:
(i) 300
(ii) 500

3. (a) Solve the following word problem:
A boy has 50 marbles. He gives 25 to his friend. What is the percentage of marbles he gave to his friend?

(b) Find the HCF and LCM of the following numbers:
(i) 20, 25
(ii) 30, 40, 50

End of Paper

First Term Examination
Subject: Mathematics
Class: J.S.S. 2
Time: 2 hours

Section A: (Multiple Choice Questions)

1. List all the factors of 20.
   (a) 1, 3, 4, 5, 15, 20
   (b) 1, 2, 4, 5, 10, 20
   (c) 0, 2, 4, 6, 10, 20
   (d) 1, 4, 10, 20
2. Express 48 as a product of its prime factors.
   (a) 2³ x 3
   (b) 2⁴ x 3
   (c) 2⁵ x 30
   (d) 3² x 24
3. Express 125 as a percentage of 500.
   (a) 40%
   (b) 25%
   (c) 60%
   (d) 30%
4. Express 60% as a fraction in its simplest form.
   (a) 3/4
   (b) 4/5
   (c) 3/5
   (d) 1/2
5. In a school, 260 out of 400 students are girls. What percentage of the students are boys?
   (a) 42.5%
   (b) 35%
   (c) 38.5%
   (d) 21.5%
6. The total number of students in a school is 720. There are 300 boys. What is the ratio of girls to boys?
   (a) 7:5
   (b) 2:3
   (c) 5:7
   (d) 3:2
7. Evaluate 15 – 3 – (+17).
   (a) -5
   (b) -10
   (c) 5
   (d) -15
8. Evaluate √32.
   (a) 4
   (b) 5.6
   (c) 6
   (d) 8
9. If x = -3 and y = -5, evaluate xy + (x – y).
   (a) 7
   (b) -29
   (c) 5
   (d) -15
10. Which of these numbers are odd?
    7, 2, 6, 13, 15, 17, 8
    (a) 7, 9, 13, 15, 17
    (b) 2, 6, 8
    (c) 7, 13, 17
    (d) 7, 15, 17
11. Express 3.26 x 10² in ordinary form.
    (a) 3260
    (b) 326
    (c) 0.326
    (d) 3406
12. Express 0.0075 in standard form.
    (a) 7.5 x 10⁻³
    (b) 7.5 x 10⁰
    (c) 7.5 x 10⁻²
    (d) 7.5 x 10⁻¹
13. Simplify 2x⁻⁴ x 5x².
    (a) 10x⁷
    (b) 10x⁻²
    (c) 15x²
    (d) 8x⁻⁴
14. Simplify 3x² x 7x³ x x⁴.
    (a) 21x⁹
    (b) 21x⁶
    (c) 21x⁴
    (d) 21x⁷
15. Round off 42.06823 to 3 decimal places.
    (a) 42.068
    (b) 42.07
    (c) 42.16
    (d) 42.06
16. Change 51/100 to a decimal number.
    (a) 0.51
    (b) 5.24
    (c) 0.025
    (d) 0.51
17. If P = -5, Q = -3, evaluate 7P + 2Q.
    (a) -29
    (b) 30
    (c) -111
    (d) 111
18. Simplify 2x⁶ x 4x².
    (a) 8x⁸
    (b) 8x⁶
    (c) 2x⁸
    (d) 4x⁸
19. Solve X + 20 = 32 for X.
    (a) 15
    (b) 12
    (c) 10
    (d) 8
20. Evaluate √100 − 36.
    (a) 4
    (b) 10
    (c) 8
    (d) 6

Section B: (Short Answer Questions)

21. List all the factors of 48.
22. List all the factors of 96.
23. List all the factors of 120.
24. Express 840 as a product of prime factors.
25. Express 3000 as a product of prime factors.
26. Evaluate √81 x 64.
27. Evaluate 7(m – 2).
28. Simplify 4(2x + 5) – 2(3x – 1) – (3x + 2) + 5x.
29. Remove the bracket and simplify: 3(2a + 1) – 2(a – 2).
30. Estimate 6.21 x 9.87 to 1 significant figure.
31. Round off 36.50687 to 2 decimal places.
32. Round off 0.0862 to 2 decimal places.
33. Simplify 5x + 3(y – x).
34. Simplify (-x) x (-2y).
35. Simplify -y – x².
36. Simplify 5x + 3(y – x).
37. Simplify (3a + 1) – 2(a – 2).
38. Expand and simplify a(x + 5).
39. Factorize 4(x – 3).
40. Express 0.0086 in standard form.
41. Express 120/200 as a percentage.
42. Evaluate √32.
43. Express 60% as a fraction in its lowest form.
44. Change 2/5 to a decimal number.
45. Find the prime factors of 600.
46. Find the LCM of 12, 36, and 48.
47. Solve for X in X – 10 = 15.
48. Simplify 3 + 5 x 2.
49. Find the value of X in X + 20 = 35.
50. Evaluate 8 – 9 – (-4).
51. Express 0.0075 in standard form.
52. Find the HCF of 16, 24, and 32.
53. Solve X + 5 = 12.
54. Simplify 3x² x 7x³.
55. Round off 45.635 to 2 decimal places.
56. Evaluate √0.0049.
57. Multiply 0.06 by 0.28.
58. Estimate the total number of words in a letter with 32 lines and 14 words per line to 1 significant figure.
59. Simplify (2x + 3) x (x – 4).
60. Factorize 5a + 3a².
61. Solve for x in 5x – 3 = 12.
62. Express 2/7 as a decimal number.
63. Solve for y in y + 12 = 28.
64. Simplify x² – 4x + 3.
65. Find the sum of 14 and 36.
66. Find the difference between 90 and 45.
67. What is the product of 7 and 6?
68. What is the quotient of 56 divided by 8?
69. Express 1/3 as a decimal number.
70. Round off 25.687 to 1 decimal place.
71. Solve 6x – 4 = 20.
72. Multiply 0.5 by 0.6.
73. Find the LCM of 18 and 24.
74. Solve for x in 3x + 7 = 22.
75. Find the HCF of 12, 24, and 36.
76. Express 25% as a fraction.
77. Evaluate 100 ÷ 4 + 12.
78. Simplify 6x + 3x + 7.
79. Multiply -2x by 4y.
80. Divide 6y by 2.
81. Solve for y in y – 7 = 18.
82. Factorize 6x + 12.
83. Find the value of 9x – 3 when x = 4.
84. Find the product of 5 and 9.
85. Find the sum of 22 and 8.
86. Subtract 13 from 28.
87. What is the sum of 5x and 3x?
88. Simplify 4a + 5a – 3b.
89. Factorize 12x + 15.
90. What is 75% of 200?
91. Solve for x: 5x + 6 = 36.
92. Find the value of 7(x – 2) when x = 3.
93. Multiply 9 by 8.
94. Find the quotient of 72 ÷ 6.
95. Solve 2x + 3 = 9.
96. Evaluate the value of 5(a – 3) when a = 4.
97. Solve 10x – 5 = 15.
98. Find the square root of 49.
99. Subtract 18 from 45.
100. Solve the equation 2x + 5 = 11 for x.