JSS 3 FIRST TERM EXAMINATION MATHEMATICS

1ST TERM EXAMINATION BASIC 9 MATHEMATIC JSS 3

CLASS: JSS 3. SUBJECT: MATHEMATICS.TIME: 1 HOUR.

INSTRUCTION: Answer all the questions.

1. The number of minutes in 2 ½ hours is _________(a) 90 (b) 150 (c) 200 (d)65
2. Which one of the following is not equivalent to ½? (a) 9/18 (b) 11/22 (c) 15/30 (d) 24/42
3. How many degrees are in right angle? (a) 90⁰ (b) 75⁰ (c) 40⁰ (d) 210⁰
4. Five pages of a 20-page newspaper are missing, the percentage missing is _______ (a) 25% (b) 4% (c) 16% (d) 5%
5. Which of the following is 20% of 1 hour (a) 12 mins (b) 6 Mins (c) 5 Mins (d) 30 Mins
6. Simplify 12x²y ÷ 3x (a) 4x²y (b) 4xy (c) 4y² (d) 4x²
7. If y-20 = 20, then y = __________(a) 4 (b) 10 (c) 40 (d) 35
8. The sum of angles at a point is (a) 360⁰ (b) 270⁰ (c) 180⁰ (d) 90⁰
9. A number is trebled and then 17 is subtracted. If the result is 40, the original number is ___________(a) 7 ²/₃ (b) 57 (c) 11 (d) 1
10. If Sin = 0.5, what is (a) 45⁰ (b)60⁰ (c) 30⁰ (d) 90⁰
11. Which of the following groups of number form Pythagoras Tripple? (a) 6,8,10 (b) 4,6,8 (c) 3,2,5 (d) 10,13,14
12. A market trader has 100 Oranges for sale, 4 of them are unripe, what is the probability that an orange chosen at random is ripe? (a) 4/100 (b) 90/100 (c) 2/5 (d) 24/25
13. The sum of three consecutive numbers is 24. Find the numbers (a) 7,8,9 (b) 5,6,7 (c) 6,7,8 (d) 4,10,11
14. Evaluate (11.67)² – (8.33)² (a) 61.88 (b) 66.80 (c) 20.00 (d) 23.24
15. Factorize a² + 13a + 36 () (a+12) (a+3) (b) (a + 2 )(a +18) (c) (a +9)(a +4( (d) (a +9) (a – 4)
16. Factorize P² – 4q² (a) (p-2q)(p +2q) (b) (p – 7q)(p +7q) (c) (p – 4q)(p + 4q) (d) (p – 70 (p – 4q)
17. Express 0.089752, correct to 3 significant figures (a) 0.0890 (b) 0.0895 (c) 0.0898 (d) 0.0897
18. Convert 432₅ to a number in base 10 (a) 117₁₀ (b) 115₁₀ (c) 171₁₀ (d) 116₁₀
19. The coefficient of x in the expansion of ( x -2)(x +9) is (a) -18 (b) -14 (c) +17 (d) 7
20. What is the reciprocal of -0.025? (a) 25 (b) -40 (c) +0.25 (d) 100/25
21. X varies directly as Y, when x=4, y=3. Find y when x = 5 (a) 3.73 (b) 103 9c) 2.2 (d) 3.0
22. Solve for n in 5n= 625 (a) 3 (b) 125 (c) 25 (d) 225
23. Write 0.000362 in standard form (a) 2.63 X 10^-6 (b) 2.63 X 10^-5 (c) 3.62 X 10^-4 (d) 3.62 X 10⁴
24. Express 2/a + 7/b as a single fraction (a) (b) (c) (d)
25. Find the value of if Sin 40⁰ = Cos (a) 50⁰ (b) 40⁰ (c) 90⁰ (d) 75⁰
26. In the figure below, which of the following equation gives the value of a?(a) a² = b² + c² (b) a² = (b-c)² (c) a² =b² – c² (d) a² = c² – b²
27. In the figure below, which of the following equation gives the value of a?(a) a² = b² + c² (b) a² = (b-c)² (c) a² =b² – c² (d) a² = c² – b²
28. Calculate one third of the sum of 23 and the square of 5 (a) 71 (b) 16 (c) 19 (d) 9
29. Express in base two, the square of 11_two (a) 1000 (b) 1010 (c) 1101 (d) 1001
30. The sum of three consecutive even numbers is 72, the highest of three numbers is 71, the highest of three number is ______(a) 12 (b) 26 (c) 24 (d) 14
31. If P = 2(1 +b), express b in terms of P and L (a) 2(l +b) (b) P – (c) – L (d) 2P – L
32. The area of Trapezium is calculated by (a) s² (b) LB (c) πr² (d) ½ (a+b)h
33. Calculate the mean of the following numbers 10,2,3,6 and 4 (a) 3 (b) 4 (c) 5 (d) 6
34. In an examination, 350 out of 1250 students failed. What percentage passed? (a) 35% (b) 72% (c) 50% (d) 65%
35. Find the multiplicative inverse of 10/9 (a) 1/9 (b) 9/10 (c) 10/9 (d) -9/10
36. Factorize 2x² – 18xy (a) 2x(x + 9y²) (b) 2x (x -9y) (c) x(x – 9y) (d) x(9x² – 2x)
37. What is the coefficient of y in the equation 5y2 – 3/4y + 7 = 0 (a) 5 (b) 6 (c) -3/4 (d) 7
38. Four lines meet at a point, the sum of three of the angles at a points is 267⁰, the size of the other is _______ (a) 87^o (b) 89⁰ (c) 90⁰ (d) 93⁰
39. Two right angles measure ______(a) 360⁰ (b) 180⁰ (c) 120⁰ (d) 90⁰
40. Round off 2.6548 correct to three decimal places (a) 2.66 (b) 2.655 (c) 2.670 (d) 2.654
41.  Convert 10101two to base ten ( a) 20 ten (b) 21 ten (c) 24 ten (d) 31 ten
42.  Find the sum of all odd numbers between 20 and 30 (a) 110 (b) 115 (c) 120 ( d) 125
43. Express ( 101 two )2 in base ten (a ) 25 (b) 20 (c) 15 (d) 10
44. Factorise a2 c � 2ac2 (a) ac( 1- 2c) (b) ac (c -2a) (c) ac (a -2c ) (d) ac ( a � c)
45.  Add 11010 two + 1011two (a) 11010 two (b)100101two (c)11000two (d)1110000two
46.  Find the product of the positive difference between 2 and 7 and the sum of 3 and 5.
    (a.) 40 (b) 56 (c) 60 (d.) 72
47.  Write as a single fraction
    (a.) 7/12 (b ) 1/ 12a (c.) 7/12a (d) a/12
48.  Find the value of 1.5 x 7.2 + 1.5 x 2.8 (a) 34 (b.) 28 (c.) 15 (d.) 10
49.  Simplify
    (a)
    (b.)
    (c.)
    (d.)
    
50.  Evaluate 572 – 552 (a.) 224 ( b.) 226 ( c.) 228 ( d.) 288
51.  Evaluate 2d3+ d2(3d-1) ( a.) d5(3d-1) (b.) d3(6d-1) ( C) d3(3d+1) (d.) d2 (5d-1)
52.  Evaluate
    (a) -1 ( b) -2 ( c.) 1 (d) 2
53.  Factorise x (x+y)- y (x+y) (a.) x2y – xy2 (b.) (x+y)(x-y) ( c.) 2(x+y) (d) (x+y)(y-x)
54.  Factorise 16-9a2 (a.) (4-3a)2 (b.) (4+3a)2 (c.) (4-3a)(4a+3) (d) (4a-3)(4a+3)
55.  What is the HCF of ab2 and a2 b3 (a.) ab (b.) a2 b ( c.) ab2 (d.) a 2 b 2
56.  Expand (a+2b)(a-2b) (a.) a2+ 4ab-4b2 (b.)a2-4b- 4b2 (c.) a2+4b2 (d).a2-4b2
57.  Convert 212 three to base five (a.) 23 five (b.) 34 five (c.) 43 five (d.) 44 five
58.  Find the coefficient of a in (a+5)2 (a.) 10 (b.) 5 (c.) 1 (d.) 0
59.  Find the sum of 12 three,110 three and 21three
    (a.) 200 three (b.) 211 three (c.) 220 three (d.) 221 three
60.  Find the value of 2852-2152 (a.) 35000 (b.) 50000 (c.) 70000 (d.) 75000
61.  
    , make n the subject of the fomula.
    (a) n = 4m + 1 (b) n = 4m � 1 (c) n =
    (d) n =
    
62.  The sum of the three consecutive numbers is 66. Find the highest number.
    (a) 24 (b) 23 (c) 22 (d) 21
63.  Solve for y in
    –
    =
    
    a)
    b)
    c)
    d)
    
64.  Subtract 18 from the product of 4 and 10, then divide the product by 2.
    ( a) 11 (b) 12 (c) 14 (d) 22
65.  Factorize 2ab + 4abc � 3c � 6
    
    (a) (2ab+3C) (b.) (2ab-3c)(1-2c) (c.) (2ab-3c)(1+2c) (d.) (2ab+3c)(1-2c)
66. Simplify
    (a.)
    (b.)
    (c.) 5/x (d.) 6/3x
67. Solve for y ,if 5y – 4 = 18+3y (a.) 9 (b.) 10 (c.) 11 (d.) 12
68. Given that 2r2 = 20, find r. (a)
    (b)
    (c) 5 (d)
    
69. Factorize 8pq + 24p2 (a) 8p(q + 3p) (b) 8pq (1 + 3p) (c) 4p(2q +6p) (d) 2p (4q + 2p)
70. Subtract 10112 from 110102 (a) 11112 (b) 11102 (c) 1112 (d) 10012
71. The sum of 8 and a certain number is equal to the product of the number and 3. What is the number? (a) 11 (b) 8 (c) 6 (d) 4
72. Simplify 8-x – (3 + 2x) (a) 11+3x (b) 5+2x (c) 5-3x (d) 11-3x
73. Fact orise a2 � 81d2 (a) (a-9d)(a+9d) (b) (a-81d)(a+81d) (c)(a-9d)2 d)(a+9d)2
74. Simplify � of � = 5/12 (a).7/24 (b).5/24 (c).5/12 (d).7/12
75. Solve for y if 17 – 4y = 3y + 3 (a).-5 (b)-4 (c).1 (d).2
76. Make x the subject of the formula
    (a).4y-3 (b).
    (c).
    (d) 4y – 3
77. Evaluate
    if x=-2, y=3& z=4 (a.) 6 (b.) 5 (c.) 4 (d).3
78. Find the L.C.M of 8,12.& 24 a.4 b.8 c.12 d.24
79. Solve
    (a). 3
    b .2
    c -5/13 d.-2
    
80. Find y if 4(ay-a) = 8a a.3 b.3a c.2 d.2a
81. Find the coefficient of x in the expansion (x-3)(2x-1) a.5 b.-7 c.-9 d.-11
82. Evaluate
    a.1/4 b.
    c
    d.3
    
83. 1/3 of a number is added to 5. The result is one & half times the original number.Find the number. a.2
    b.3
    c.4
    d.6
    
84. Expand (a+5)(2a-3) a.2a2+7a-15 b.2a2-7a+15 c. 2a2-7a-15 d. 2a2-13a+15
85. Simplify
    a. 5/3a b. 2/3a2 c.2/5a d. 4/3a
86.  Find the value of y in 19 = 16y – 21 a.1
    b.2
    c.3
    d.4
    
87.  Simplify (6x-5y) + (3y+4x) a.10x-2y b. 10x+8y c. 10x+2y d. 9x-9y
88.  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)
89. I think of a number and add 5 the result is thrice the original number plus 1. What is the number.
    a.1 b.2 c.3 d. 4
90.  Expand (2a+b)(2a-b) a. 4a2-b2 b. 4a2-4a-b2 c. 4a2+4a+b d. 4a2+2a-b2
91. solve
    +
    = 0 a. 5/6 b.3/4 c. 4/3 d. 4/9
92. Evaluate
    
    
    , Given that b=2 a.4 b. 5 c.6 d.7.
93. Make v the subject of the formular V=
    pr2ha. 4v/3ph b. 4v/
    c.
    d.
    
94. Subtract 4 percent of 50 from 1/3 of 24 and divide the result by 1/3.a. 24 b. 18 c.6 d.3
95. Expand -3p2(p+2) a. p3�6p2 b. 3p2- 6p2 c. -3p3 � 6p2 d. -3p2+6p2.
96. Make T, the subject of the formular f=
    (a) T =4L2 mf2 b.T =4L2m2 c.T = 4Lmf d.T = 4L2m2 f2
97. Factorise 10uv + 5uv -2v-1 a. (10u-5)(2u-1) b. (5u-1)(2v- 1) c. (5u+1)(2v+1)d. (5u-1)(2v-1)
98. If 4 is added to 3 times a certain number, the result is 31. Find the numbera. 6 b. 7 c.8 d.9
99. When the sum of n and 2 is divided by 20, result is 4. Find the value of n.a.76 b.78 c. 80 d. 82
100. When 8 is added to a certain number, the sum is multiplied by 3, the result is 57.
101. Which of the following equation satisfies the above.(a) X(8 +3)=57 b.8(x+3)=57 c.3(8+x)=57 d. 3(x-8)=58.
102. If 1/a +1/b = 2/c , Express a in term of b and c .a.
     b.
     c.
     d.
     
103. The product of 3 numbers is 180. If two of the numbers are -3 and-4, what is the third number ?
     a. -15 b. 15 c. 25 d. 30
104. Solve for c in the equation
     = a. 2 b. 1 c.
     d.
     
     
105. Find the square root of 441. a.41 b.31 c. 1 d.11
106.  If y=5 and 3x+ 2y = 10 . Find x a.3 b.2 c.1 d. 0
107. Add 131 five and 444five in base five. A.1230five b.1130five c.1330five d.1430five.
108. I add 55 to a number and divide the sum by 3. The result is 4 times the first number. Find the number. A.5 b.8 c.11 d.14.
109. Solve
     a.5 b.4 c.3 d.2
110. Make R the subject of the formular in the expression
     a.
     b.
     C.
     d.
     

SECTION B

Answer Four Questions

1. The sides of the rectangle in the diagram below are given in cm.
2. Find x and y and the area of the rectangle
3. The angles of a quadrilateral are x⁰, 3x⁰, 5x⁰ and 6x⁰. Find x and hence calculate the angles of the quadrilateral.
4. A rectangular piece of cardboard is 40m wide. The length of the diagonal is 50m. What is the area of the cardboard?
5. The score obtained in a mathematics quiz by 5 boys are 4, 6,3,6,7 and for 4 girls are 6,3,4,7. Calculate for all scores the:
   1. 1. Mean
      2. Median
      3. Range
      4. Mode

6. The distribution of junior workers in an institution is as follows:

Clerks 78

Drivers 36

Typists 44

Messengers 52

Others 30

Present the information in a pie chart

7. Given a formula A= P +

1. 1. Make P the subject of the formula
      1. Find P if A = 920, T =2½ and R = 6 to 3S.F
   2. Simplify (4.8 X 10¹⁷) ÷ (0.12 X 10⁴), leave your answer in standard form.

8.

Which of the HCF of 40 and 64 is ________ (a) 20 (b) 16 (c) 12 (d) 24

The LCM of 15, 30 and 45 is ______(a) 300 (b) 150 (c) 60

The HCF of two numbers x and y is written as HCF (x, y). HCF (40, 64) = HCF (64, 40) = _____

The LCM of two numbers x and y is written as LCM (x, y). LCM (15, 30) = LCM (30, 15) = ______

To find the HCF of two numbers, we need to find all the factors of each number and then select the common factors.

Factors of 40:

– 40 ÷ 20 = _____

– 40 ÷ 16 = ______

– 40 ÷ 12 = ______

– 40 ÷ __ = _____