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30 FREE MATHEMATICS UTME/JAMB STANDARD PRACTICE QUESTIONS AND ANSWERS

30 FREE MATHEMATICS UTME/JAMB STANDARD PRACTICE QUESTIONS AND ANSWERS

By 2021-10-15 EDUCATION, JAMB, Questions and Answers 0 Comments
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ANSMYQUES​​ BLOG​​ ​​ 

  • Convert A2B to a duodecimal number  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 160Ī› ​​ ​​​​ B.​​ 60Ī› ​​ ​​​​ C.​​ 16Ī› ​​ ​​ ​​​​ D.​​ 16011

 

  • Find the value of x ā€“ 1 if 803x​​ - 432x​​ = 361x ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 6 ​​ B. 7 ​​ C. 8 ​​ D. 9

 

  • Find the quadratic equation whose roots are 1- 23​​ and​​ 1+ 23 ​​ ​​ ​​ ​​ ​​​​ A. x2​​ ā€“ 2x + 11 = 0  ​​ ​​​​  B. x2​​ ā€“ 2x - 11 = 0  ​​ ​​​​ C. x2​​ + 2x - 11 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. x2​​ + 2x + 11 = 0  ​​ ​​​​ 

 

  • Five years ago a mother was five greater than twice her sonā€™s age, if the sum of their ages in three years time is 76, how old was the mother when she gave birth to the boy A. 20 ​​ B. 25  ​​​​ C. 30  ​​​​ D. 35

 

  • If the sum of three consecutive even number is 42, find the larger number A. 12  ​​​​ B. 14 ​​ C. ​​ 16 ​​ D. None

 

  • If the tenth digit of a two digit number is three greater than twice its unit. If the original number exceed the new by 36 when interchanged , find the new number A. 51  ​​​​ B. 73 ​​ C. 15 ​​ D. 37

 

  • Find the possible value of x+1 if  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 22x-1-5.2x+12=0 ​​​​ A. 0 ​​ B. 1 ​​ C. 2 ​​ D. 3

 

  • Find k2​​ if ​​ 2k-13-Ā k+22​​ = -112 ​​​​ A. 0 ​​ B. -1 ​​ C. 1 ​​ D. 4

 

  • Simplify:​​ 2x+3-5.2x+3.2x+12x+1-7.2x+3.2x+2 ​​ ​​ ​​​​ A.​​ 79 ​​ ​​​​ B.​​ 97 ​​ ​​ ​​​​ C.​​ -79 ​​ ​​​​ D.​​ -97 ​​ ​​ ​​​​ 

 

  • If​​ 2x+2​​ = 6, find x when​​ log2ā”3​​ =​​ 43 ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ ​​ A.​​ 12 ​​ ​​ ​​​​ B.​​ 13 ​​ ​​ ​​ ​​​​ C.​​ 53 ​​ ​​ ​​ ​​ ​​​​ D.​​ 52 ​​ ​​ ​​ ​​​​ 

 

  • If​​ log3ā”2x+1​​ = -1, find x A.​​ -13 ​​ ​​​​ B.​​ 13 ​​ ​​​​ C.​​ 23 ​​ ​​​​ D. 1

 

  • If​​ 32-3323+Ā 2​​ = P + Q6, The value of Q is ___  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. -1  ​​​​ B. -2 ​​ C. -3 ​​ D. -4

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  • Simplify:​​ 0.25x+2Ā Ć—Ā 8x-10.5x ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 22x-7 ​​ ​​​​ B.​​ 22x+7 ​​ ​​​​ C.​​ 27 ​​ ​​ ​​​​ D.​​ 2-7 ​​ ​​​​ 

 

  • Given that​​ f-1x​​ =​​ 3x-5x+2 ​​​​ find f(2x-1)  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 2x+Ā 53Ā -Ā x ​​ ​​ ​​​​ B.​​ 3Ā -Ā x2x+Ā 5 ​​ ​​ ​​​​ C.​​ 4x+32x+Ā 5 ​​ ​​ ​​​​ D.​​ 2x+Ā 54x+3

 

  • Find the polynomial with quotient x2​​ ā€“ 4x + 2 and a remainder of -5 when divided by 2x ā€“ 3.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 2x3​​ -11x2​​ + 16x + 11  ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. 2x3​​ -11x2​​ - 16x + 11  ​​​​ C. 2x3​​ + 11x2​​ + 16x - 11  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. 2x3​​ - 11x2​​ + 16x ā€“ 11

 

  • Find the value of p when the polynomial  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 3x3​​ ā€“ (2p +1)x2​​ -2x + p leaves a remainder of 4 when divided by x +2 ​​ A. 2 ​​ B. -2  ​​​​ C. 4  ​​ ​​​​ D. -4

 

  • In how many ways can a committee of 3boys and 3girls be formed from a class of 5boys and 4girls  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 15 ​​ B. 20 ​​ C. 40  ​​​​ D. 60

 

  • In how many ways can a committee of 3 male students, 2 teachers​​ and​​ 2 female students be seated round a table for a meeting if the two female students must be together​​ and the teachers must not be next to each other A. 3!12  ​​​​ B. 3!4!  ​​​​ C. 3!2!4 ​​ D. 3!2!6

 

  • How many 3-digit even numbers greater 200 can be formed from 0,2,4 and 1 ​​ A. 8 ​​ B. 12 ​​ C. 24  ​​​​ D. 36

 

  • Find the locus point from the two points A(3,2) and B(-1,2) ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ ​​ A. y + 3x + 1 = 0  ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B.​​ A. y - 3x - 1 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ C. y = 3x -1  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. y = 1-3x

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  • 3

    y

    x

    2

    Find the equation of the line in the diagram below:  ​​ ​​ ​​ ​​ ​​ ​​​​ 

 

 

 

 

A. 3y ā€“ 2y -6 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. 3y + 2x -6 = 0  ​​ ​​​​ C. 2y + 3x + 6 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. 2y ā€“ 3x + 6 = 0​​ 

  • ​​ Find the perpendicular distance of the line 3x​​ ā€“​​ 2y + 1 = 0 from the point (-6,8) ​​ A. 2 ​​ B. 2.5  ​​ ​​​​ C. 3  ​​​​ D. 3.5

 

  • If the sum of fourth and sixth term of an A.P is​​ 34​​ and the first term is -3 find the sum of first six terms​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ A.​​ 57 ​​ B. 67 ​​ C. 75 ​​ D. 76

 

  • Find the equation of a line perpendicular to the line 7y -5x + 2 = 0 and passes through the point (-2,1)  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 5y + 7x -9 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. 5y - 7x + 9 = 0  ​​​​ C. 5y + 7x + 9 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. 5y + 7x - 9 = 0  ​​​​ 

 

  • If tan(3x ā€“ 15) = 1, find the possible value of x  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 80 ​​ B. 60  ​​​​ C. 45 ​​ D. None

 

  • If sin(3x - 15) = cos(2x + 5). Find the value of x  ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 10 ​​ B. 15 ​​ C. 20  ​​​​ D. 25

 

  • Given that in a​​ āˆ†ABC,​​ <ABC is 30o​​ and​​ <CAB is 45o​​ if​​ AC​​ = 10cm, find​​ BC ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 10cm ​​ B. 102cm ​​ C. 103cm  ​​​​ D. 20

 

  • If Lilahi​​ at the top of a building 30m high view a stone on the same horizontal ground as the building at an angle of depression 60o. How far is the ball from the building?  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 303cm  ​​ ​​​​ B. 103cm  ​​​​ C. 153cm  ​​​​ D.​​ 203cm

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  • If Toyin of height 1.5m is 60m away from the foot of a flag pole, if she views the top of the flag pole at angle of elevation 45o, find the height of the flag pole  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 48.5m ​​ B. 61.5m ​​ C. 42.5m  ​​​​ D. 62.5

 

  • If the bearing of Kola from Khalid is N60oW​​ and that of Kola to Yusuf is 240o if their distance apart are 4km and 6km respectively, how far is Yusuf to Kola.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 52km  ​​​​ B.​​ 76km  ​​ ​​​​ C.​​ 67km  ​​ ​​ ​​​​ D. 10km

 

A
C
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C
B
B
A
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A
C
D
D
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B
A
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B
D
A
C
A
C
B
B
B
B

 

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