Mathematics (Core), 2018, JAMB Exam, Exam, Paper 1 | Objectives

Paper Info

Year :

2018

Title :

Mathematics (Core)

Exam :

JAMB Exam

Paper 1 | Objectives

41 - 50 of 62 Questions

#	Question	Ans
41.	Table: How many children are in the hospital A. 36 B. 40 C. 44 D. 50 Show Content Detailed Solution The total number of students is ∑ f = 3 + 4 + 5 + 6 + 7 + 6 + 5 + 4 = 40 There is an explanation video available below.	B
42.	This questionWhat is n(A U B)1 ? A. 2 B. 3 C. 4 D. 7 Show Content Detailed Solution A = (p, q, r, t, u, v) B = (r, s, t, u) A U B = Elements in both A and B = (p, q, r, s, t, u, v) (A U B)1 = elements in the universal set E but not in (A U B)= (w, x, y, z) n(A U B) 1 = number of the elements in (A U B)1 = 4 There is an explanation video available below.	C
43.	What is the loci of a distance 4cm from a given point P? A. A straight line of length 4cm B. a circle of radius 4cm C. perpendicular to point P at 4cm D. a circle of diameter 4cm Show Content Detailed Solution Locus is the path traced at by a point which moves in accordance with a certain law. It is also the set of all possible position occupied by an object The path traced from all possible location of 4cm from a given point P form a circle of radius 4cm with centre P. There is an explanation video available below.	B
44.	Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), o < x < 90\(^o\) Find the value of x A. 14\(^o\) B. 21\(^o\) C. 32\(^o\) D. 39\(^o\) Show Content Detailed Solution Sin(5x - 28) = Cos(3x - 50)………..i But Sinα = Cos(90 - α) So Sin(5x - 28) = Cos(90 - [5x - 28]) Sin(5x - 28) = Cos(90 - 5x + 28) Sin(5x - 28) = Cos(118 - 5x)………ii Combining i and ii Cos(3x - 50) = Cos(118 - 5x) 3x - 50 = 118 - 5x Collecting the like terms 3x + 5x = 118 + 50 8x = 168 x = \(\frac{168}{8}\) x = 21\(^o\) Answer is B There is an explanation video available below.	B
45.	Find the average of the first four prime numbers greater than 10 A. 20 B. 19 C. 17 D. 15 Show Content Detailed Solution Prime numbers are numbers that has only two factors (i.e 1 and itself). They are numbers that are only divisible by 1 and their selves. First four Prime numbers greater than 10 are 11, 13, 17 and 19 Average = sum of numbers / number = \(frac{(11 + 13 + 17 + 19)}{4}\) = \(\frac{60}{4}\) = 15 There is an explanation video available below.	D
46.	What is the modal age? A. 4 B. 5 C. 6 D. 7 Show Content Detailed Solution The modal age is the age with the highest frequency, and that is age 5 years with f of 7 There is an explanation video available below.	B
47.	Convert 0.04945 to two significant figures A. 0.040 B. 0.049 C. 0.050 D. 0.49 Show Content Detailed Solution 0.04945 to 2s.f is 0.049 There is an explanation video available below.	B
48.	Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10 A. 0 B. 1 C. 26 D. 46 Show Content Detailed Solution Since they are of different base, convert to base 10 243\(_{six}\) = (2 x 62) + (4 x 61) + (3 x 60) = 72 + 24 + 3 = 99 base 10 243\(_{six}\) = 2 x 52 + 4 x 51 +3 x 50 50 + 20 + 3 = 73 base 10 Subtracting them, 99 - 73 = 26 There is an explanation video available below.	C
49.	Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx A. 1.47 B. 2.67 C. 3.23 D. 3.47 Show Content Detailed Solution ∫\(\frac{5}{x}\) dx = 5 ∫\(\frac{1}{x}\) = 5Inx Since the integral of \(\frac{1}{x}\) is Inx ∫\(^2\) \(_1\)∫ \(\frac{5}{x}\) dx = 5 dx = 5 (In<2 – InIn1) = 3.4657 = 3.47 There is an explanation video available below.	D
50.	Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die? A. \(\frac{1}{16}\) B. \(\frac{1}{6}\) C. \(\frac{1}{4}\) D. \(\frac{3}{8}\) Show Content Detailed Solution P( tail on a coin) = \(\frac{1}{2}\) Even numbers on a care 2, 4 and 6 P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\) P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\) There is an explanation video available below.	C

41.	Table: How many children are in the hospital A. 36 B. 40 C. 44 D. 50 Show Content Detailed Solution The total number of students is ∑ f = 3 + 4 + 5 + 6 + 7 + 6 + 5 + 4 = 40 There is an explanation video available below.	B
42.	This questionWhat is n(A U B)1 ? A. 2 B. 3 C. 4 D. 7 Show Content Detailed Solution A = (p, q, r, t, u, v) B = (r, s, t, u) A U B = Elements in both A and B = (p, q, r, s, t, u, v) (A U B)1 = elements in the universal set E but not in (A U B)= (w, x, y, z) n(A U B) 1 = number of the elements in (A U B)1 = 4 There is an explanation video available below.	C
43.	What is the loci of a distance 4cm from a given point P? A. A straight line of length 4cm B. a circle of radius 4cm C. perpendicular to point P at 4cm D. a circle of diameter 4cm Show Content Detailed Solution Locus is the path traced at by a point which moves in accordance with a certain law. It is also the set of all possible position occupied by an object The path traced from all possible location of 4cm from a given point P form a circle of radius 4cm with centre P. There is an explanation video available below.	B
44.	Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), o < x < 90\(^o\) Find the value of x A. 14\(^o\) B. 21\(^o\) C. 32\(^o\) D. 39\(^o\) Show Content Detailed Solution Sin(5x - 28) = Cos(3x - 50)………..i But Sinα = Cos(90 - α) So Sin(5x - 28) = Cos(90 - [5x - 28]) Sin(5x - 28) = Cos(90 - 5x + 28) Sin(5x - 28) = Cos(118 - 5x)………ii Combining i and ii Cos(3x - 50) = Cos(118 - 5x) 3x - 50 = 118 - 5x Collecting the like terms 3x + 5x = 118 + 50 8x = 168 x = \(\frac{168}{8}\) x = 21\(^o\) Answer is B There is an explanation video available below.	B
45.	Find the average of the first four prime numbers greater than 10 A. 20 B. 19 C. 17 D. 15 Show Content Detailed Solution Prime numbers are numbers that has only two factors (i.e 1 and itself). They are numbers that are only divisible by 1 and their selves. First four Prime numbers greater than 10 are 11, 13, 17 and 19 Average = sum of numbers / number = \(frac{(11 + 13 + 17 + 19)}{4}\) = \(\frac{60}{4}\) = 15 There is an explanation video available below.	D

46.	What is the modal age? A. 4 B. 5 C. 6 D. 7 Show Content Detailed Solution The modal age is the age with the highest frequency, and that is age 5 years with f of 7 There is an explanation video available below.	B
47.	Convert 0.04945 to two significant figures A. 0.040 B. 0.049 C. 0.050 D. 0.49 Show Content Detailed Solution 0.04945 to 2s.f is 0.049 There is an explanation video available below.	B
48.	Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10 A. 0 B. 1 C. 26 D. 46 Show Content Detailed Solution Since they are of different base, convert to base 10 243\(_{six}\) = (2 x 62) + (4 x 61) + (3 x 60) = 72 + 24 + 3 = 99 base 10 243\(_{six}\) = 2 x 52 + 4 x 51 +3 x 50 50 + 20 + 3 = 73 base 10 Subtracting them, 99 - 73 = 26 There is an explanation video available below.	C
49.	Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx A. 1.47 B. 2.67 C. 3.23 D. 3.47 Show Content Detailed Solution ∫\(\frac{5}{x}\) dx = 5 ∫\(\frac{1}{x}\) = 5Inx Since the integral of \(\frac{1}{x}\) is Inx ∫\(^2\) \(_1\)∫ \(\frac{5}{x}\) dx = 5 dx = 5 (In<2 – InIn1) = 3.4657 = 3.47 There is an explanation video available below.	D
50.	Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die? A. \(\frac{1}{16}\) B. \(\frac{1}{6}\) C. \(\frac{1}{4}\) D. \(\frac{3}{8}\) Show Content Detailed Solution P( tail on a coin) = \(\frac{1}{2}\) Even numbers on a care 2, 4 and 6 P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\) P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\) There is an explanation video available below.	C

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