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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\(_{six}\)

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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

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Mathematics UTME / JAMB 2026 Logarithms

Solution

Solve the equation Log\(_2\)x + 3Log\(_2\)x = 16

A 12

B 16

C 4

D 8

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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.

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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 \(\frac{-4}{3}\)

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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