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Mathematics
UTME / JAMB 2025
Progressions (AP & GP)
Solution
Given the progression 3, 5, 7, 9,.... . . . find an expression for the (n - 2)\(^{th}\) term of the progression.
A
\(2n - 1\)
B
\(2n + 1\)
C
\(2n + 3\)
D
\(2n - 3\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Binary Operations
Solution
A binary operation * is defined on the set X = {1, 2, 3, 4, 5, 6} as a*b = ab + a + b. Compute 1 * 3
A
14
B
4
C
7
D
5
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Mensuration
Solution
The positions of two countries, P and Q, are (15ºN, 12ºE) and (65ºN, 12ºE) respectively. What is the difference in latitude?
A
50°
B
104°
C
80°
D
100°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Mensuration
Solution
A 120º sector of a circle of radius 21 cm is bent to form a cone. What is the base radius of the cone?
A
3\(\frac{1}{2}\) cm
B
10\(\frac{1}{2}\) cm
C
14 cm
D
7 cm
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Mensuration
Diagram
Solution
A cylindrical container, closed at both ends, has a radius of 7 cm and a height of 5 cm. Use this information to answer the questions below. What is the volume of the container?
A
770 cm\(^3\)
B
35 cm\(^3\)
C
220 cm\(^3\)
D
154 cm\(^3\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Angles & Parallel Lines
Diagram
Solution
In the diagram above, AO is perpendicular to OB. Find x.
A
15°
B
22.5°
C
7.5°
D
30°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Angles & Parallel Lines
Diagram
Solution
In the diagram above, AB||CD. What is the size of the angle marked x?
A
93°
B
77°
C
103°
D
62°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Angles & Parallel Lines
Diagram
Solution
In the diagram above, the value of angles b + c is
A
a°
B
90°
C
180°
D
d°
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Triangles and Polygons
Solution
Calculate the interior angle of a 5 - sided regular polygon
A
120º
B
90º
C
108º
D
180º
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Triangles and Polygons
Diagram
Solution
Given the triangle XYZ above, calculate the value of Cot \(\theta\) and the length XY, respectively
A
\(\frac{\sqrt{48}}{13}\), \(\sqrt{48}\)
B
\(\frac{\sqrt{48}}{11}\), \(\sqrt{48}\)
C
\(\frac{\sqrt{13}}{11}\), \(\sqrt{13}\)
D
\(\frac{13}{\sqrt{48}}\), \(\sqrt{48}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Solution
Which of the following angles is an exterior angle of a regular polygon?
A
95°
B
78°
C
72°
D
85°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In the diagram below, AB||DC, the bisectors of < BAC and < ACD meet at E. Find the value of < AEC
A
45°
B
60°
C
30°
D
90°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In △ABC above, BC is produced to D, |AB| = |AC|, and ∠BAC = 50°. Find ∠ACD.
A
115°
B
65°
C
60°
D
50°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Triangles and Polygons
Diagram
Solution
In the diagram above, < PRQ = 90º, < QPR = 30º and |PQ| = 10 cm. Find y
A
6cm
B
4cm
C
5cm
D
3cm
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2025
Geometric Construction
Solution
Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?
A
135°
B
90°
C
145°
D
60°
medium Difficulty
Study Solution