Mathematics (JAMB) scoreboard
Mathematics (JAMB) Questions
#1.
Find r, if 6r78 =5119
#2.
A student measures a piece of rope and found that it was 1.26 m long. If the actual length of the rope was 1.25 m, what was the percentage error in the measurement?
#3.
At what rate will be interest on ₦400 increase to ₦ 24 in 3 years reckoning in simple interest?
#4.
At what value of X does the function = −3 − 2x + attain a minimum value?
#5.
Given that log 2 = 0.3010, log 7 = 0.8451. Evaluate log 112
#6.
Express the product of 0.21 and 0.34 in standard form
#7.
In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers?
#8.
If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3 , find the other factor.
#9.
Solve for x and y if x - y = 2 and x2 - y2 = 8
#10.
If y varies directly as the square root of x and y =3 when x = 16, calculate y when x = 64
#11.
Solve the inequalities −6 ≤ 4 − 2 < 5 − x
#12.
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
#13.
The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression
#14.
If x * y = x + y2, find then value of (2*3)*5
#15.
If p and q are two non-zero numbers and 18( p + q) = (18 + p)q , which of the following must be true?
#16.
The interior angles of a quadrilateral are (x + 15)⁰, (2x - 45)⁰ and (x + 10)⁰.
Find the value of the least interior angle.
#17.
If the two smaller sides of a right-angled triangle are 4 cm and 5 cm, find its area If the two smaller sides of a right-angled triangle are 4 cm and
5 cm, find its area
#18.
A cylindrical pipe 50cm long with radius 7m has one end open.
What is the total surface area of the pipe?
#19.
What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?
#20.
Find the gradient of the line passing through the points P(1, 1) and Q(2, 5)
#21.
Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
#22.
If 2q35 = 778, find q
#23.
If the area of △ PQR above is 12√3 cm2 , find the value of q?
#24.
A man invested ₦5,000 for 9 months at 4%. What is the simple interest?
#25.
If log3 18 + log3 3 - log3 x = 3, find x.
#26.
Raial has 7 different posters to be hanged in her bedroom, living room and kitchen.
Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?
#27.
Factorize completely 9y2 – 16x2
#28.
Solve for x and y respectively in the simultaneous equations -2x - 5y = 3, x + 3y = 0
#29.
Solve the inequality -6(x + 3) ≤ 4(x - 2)
#30.
Solve the inequality x2 + 2x > 15.
#31.
Find the sum of the first 18 terms of the series 3, 6, 9..., 36
#32.
The second term of a geometric series is 4 while the fourth term is 16.
Find the sum of the first five terms
#33.
What is the size of each interior angle of a 12-sided regular polygon?
#34.
A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?
#35.
A chord of circle of radius 7 cm is 5 cm from the centre of the maximum possible area of the square?
#36.
A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold?
#37.
The perpendicular bisector of a line XY is the locus of a point
#38.
The midpoint of P(x, y) and Q(8, 6). Find x and y. midpoint = (5, 8)
#39.
Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).
#40.
A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z.
Find the bearing of X from Z
#41.
The derivatives of (2x + 1)(3x + 1) is
#42.
Find the value of x at the minimum point of the curve y = x3 + x2 − x+ 1
#43.
In how many ways can the letters of the word ELATION be arranged?
#44.
In how many ways can five people sit round a circular table?
#45.
Find the probability that a number picked at random from the set (43, 44, 45, ..., 60) is a prime number.
#46.
In a class of 60 students, 30 offer Physics and 40 offer Chemistry. If a student is picked at random from the class, what is the profitability that the student offers both Physics and Chemistry?
#47.
Convert 726 to a number in base three
#48.
Evaluate 21/9 to 3 significant figures
#49.
A man earns ₦3,500 per month out of which he spends 15% on his children's education. If he spends additional ₦1,950 on food, how much does he have left?
#50.
If 27x + 2 ÷ 9x + 1 = 32x, find x