30 FREE MATHEMATICS UTME/JAMB STANDARD PRACTICE QUESTIONS AND ANSWERS

By Ibkemmanuel 2021-10-15 EDUCATION, JAMB, Questions and Answers 0 Comments

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Convert A2B to a duodecimal number A. 160Λ B. 60Λ C. 16Λ D. 16011

Find the value of x – 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 – 2x + 11 = 0 B. x2 – 2x - 11 = 0 C. x2 + 2x - 11 = 0 D. x2 + 2x + 11 = 0

Five years ago a mother was five greater than twice her son’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- 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 log2⁡3 = 43 A. 12 B. 13 C. 53 D. 52

If log3⁡2x+1 = -1, find x A. -13 B. 13 C. 23 D. 1

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

Simplify: 0.25x+2 × 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+ 53 - x B. 3 - x2x+ 5 C. 4x+32x+ 5 D. 2x+ 54x+3

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

Find the value of p when the polynomial 3x3 – (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

3
y
x
2
Find the equation of the line in the diagram below:

A. 3y – 2y -6 = 0 B. 3y + 2x -6 = 0 C. 2y + 3x + 6 = 0 D. 2y – 3x + 6 = 0

Find the perpendicular distance of the line 3x – 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 – 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 ∆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

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

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