All subjectsMathematics Past Questions (1978–2025)
4,345 real Mathematics past questions from NECO, JAMB, WAEC, each with the correct answer shown. Free to search — no account needed.
Sample questions
A few Mathematics questions from the bank. The full set is searchable free.
A 120º sector of a circle of radius 21 cm is bent to form a cone. What is the base radius of the cone?
- A3 \(\frac{1}{2}\) cm
- B10 \(\frac{1}{2}\) cm
- C14 cm
- D7 cm
Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) = x + y \(\sqrt{15}\) , find the value of (x + y)
- A1 \(\frac{3}{5}\)
- B1 \(\frac{2}{5}\)
- C1 \(\frac{1}{5}\)
- D\(\frac{1}{5}\)
In the diagram, the shaded part is carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find area of the margin
- A\(4.7m ^{2}\)
- B\(4.9m ^{2}\)
- C\(5.7m ^{2}\)
- D\(5.9m ^{2}\)
Find the acute angle between the straight lines y = x and y = √3x
Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the
- Aperpendicular bisector of PQ
- Bperpendicular bisector of ST
- Cbisector of the angles between lines PQ and ST
- Dbisector of the angles between lines PT and QS
Given that \(27^{(1+x)}=9,)\ find x
- A-3
- B\(\frac{-1}{3}\)
- C\(\frac{5}{3}\)
- D2
In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|
- A7cm
- B8cm
- C8 2/3cm
- D10cm
- E10 2/3cm
Find correct to one decimal place, 0.24633 \(\div\) 0.0306