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Mathematics
UTME / JAMB 2026
Number Bases
Solution
Find 321\(_{\text{six}} \times 3_{\text{six}}\)
A
3013\(_{six}\)
B
1103\(_{six}\)
C
1403\(_{six}\)
D
3103\(_{six}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Number Bases
Solution
Convert 111.101\(_{\text{two}}\) to a number in base 10.
A
6\(\frac{5}{8}\)
B
9
C
7\(\frac{5}{8}\)
D
8
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Logarithms
Solution
Solve the equation Log\(_2\)x + 3Log\(_2\)x = 16
A
12
B
16
C
4
D
8
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Areas of Plane Figures
Diagram
Solution
In the diagram above, a coloured light on an ambulance car is made up of a hemisphere mounted on a cylinder of the same radius. Calculate the surface area if the cylinder has a radius 7 cm and a height 3 cm.
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Coordinate Geometry
Solution
The gradient and y-intercept of the straight line 2x − 3y = 4 are respectively
A
\(\frac{2}{3}\) and \(\frac{-4}{3}\)
B
\(\frac{-2}{3}\) and \(\frac{4}{3}\)
C
\(\frac{2}{3}\) and \(\frac{4}{3}\)
D
\(\frac{-2}{3}\) and \(\frac{-4}{3}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Measures of Dispersion (Range, Variance, Standard Deviation)
Solution
Find the mean deviation of 1, 2, 3, and 4.
A
1.0
B
2.0
C
2.5
D
1.5
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2026
Permutation and Combination
Solution
How many possible ways are there of seating 6 people at a circular table?
A
20
B
48
C
60
D
120
medium Difficulty
Study Solution
Physics
UTME / JAMB 2026
Atomic & Nuclear Physics
Diagram
Solution
The points marked A and B respectively represent
A
Half number of decayed atoms and half-life
B
Half number of atoms initially present and half-life
C
Decay constant and half-life
D
Half number of atoms initially present and time of decay
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Satellite and Rocket
Solution
I. Have only potential energy
II. Can stay on parking orbit
III. Have velocities lower than velocity of escape
Which of the above are correct about artificial Earth satellite?
A
II and III only
B
I and II only
C
I and III only
D
I, II and III only
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Satellite and Rocket
Solution
In parking orbit, the satellite revolves the earth once in every
A
5200 minutes
B
3480 minutes
C
1440 minutes
D
2366 minutes
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Simple Machine
Solution
The simple machine for which the fulcrum is between the load and effort is
A
third-class levers
B
first order levers
C
second class levers
D
automatic levers
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Linear Motion & Kinematics
Solution
A body accelerates from rest at the rate of 5.0 m s\(^{-2}\). Calculate the time taken to cover the distance of 160.0 m
A
4.0 s
B
32.0 s
C
8.0 s
D
16.0 s
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Linear Motion & Kinematics
Solution
The vertical component of a displacement is 10 km. Find the displacement if its angle of inclination from the positive x-direction is 30º
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Equilibrium of Forces
Diagram
Solution
From the figure, a uniform metre rule of weight 20 N is in equilibrium. A string is attached at the 0 cm mark, and a pivot is placed 30 cm from the 0 cm end (70 cm from the other end). Calculate the tension T in the string.
A
5 N
B
15.4 N
C
11.5 N
D
25.3 N
medium Difficulty
Study Explanation
Physics
UTME / JAMB 2026
Equilibrium of Forces
Solution
Calculate the minimum force F required to lift up a 0.5 m uniform rod of weight 30 N at the 50 cm mark.
A
30 N
B
18 N
C
15 N
D
20 N
medium Difficulty
Study Explanation