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Mathematics 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.

#1
WAEC2025
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
#2
WAEC2020
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\(\frac{1}{5}\)
#3
WAEC2015
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\(5.9m ^{2}\)
#4
JAMB2009
Find the acute angle between the straight lines y = x and y = √3x
  • A15 °
  • B30 °
  • C45 °
  • D60 °
#5
JAMB2005
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
#6
WAEC2000
Given that \(27^{(1+x)}=9,)\ find x
  • A-3
  • B\(\frac{-1}{3}\)
  • C\(\frac{5}{3}\)
  • D2
#7
WAEC1994
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
#8
JAMB1988
Find correct to one decimal place, 0.24633 \(\div\) 0.0306
  • A0.8
  • B1.8
  • C8.0
  • D8.1
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