WAEC (WASSCE) Mathematics · Mensuration

Lengths and Perimeters: WAEC Mathematics Past Questions and Answers

What the WAEC syllabus covers in Lengths and Perimeters

Our summary: Finding lengths and distances, including arcs, sectors and distances on the Earth's surface.

  • Use of Pythagoras' theorem, sine and cosine rules to determine lengths and distances
  • Lengths of arcs of circles, perimeters of sectors and segments
  • Longitudes and Latitudes

Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).

WAEC (WASSCE) Mathematics questions on Lengths and Perimeters

  1. WAEC 2024A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.
  2. WAEC 2024The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.
  3. WAEC 2023An equilateral triangle has a side 2 cm. Calculate the height of the triangle.
  4. WAEC 2023The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
  5. WAEC 2022The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area
  6. WAEC 2021The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.
  7. WAEC 2021The diagonal of a rhombus are 12cm and 5cm. calculate its perimeter
  8. WAEC 2020The length of an arc of a circle of radius 3.5 cm is 1 19/36 cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle…
  9. WAEC 2019Find the angle at which an arc of length 22 cm subtends at the centre of a circle of radius 15cm. [Take = 22/7 ]
  10. WAEC 2019The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the…
  11. WAEC 2019An arc subtends an angle of 72 ^o at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take = 22/7 ]
  12. WAEC 2018The diagonals of a rhombus WXYZ intersect at M. If MW = 5cm and MX = 12cm, calculate its perimeter
  13. WAEC 2018A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle…
  14. WAEC 2017The diagonal of a square is 60 cm. Calculate its peremeter
  15. WAEC 2017An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take =…
  16. WAEC 2016The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take = 22/7 ]
  17. WAEC 2015In a circle radius rcm, a chord 16 √3cm long is 10cmfrom the centre of the circle. Find, correct to the nearest cm, the value of r
  18. WAEC 2014A chord subtends an angle of 120o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take = 22/7 ]
  19. WAEC 2014The area of a sector a circle with diameter 12cm is 66cm2. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take = 22/7 ]
  20. WAEC 2013An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take = 22/7 )
  21. WAEC 2012The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
  22. WAEC 2012In XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
  23. WAEC 2011The perimeter of a sector of a circle of radius 4cm is ( + 8 )cm. Calculate the anle of the sector
  24. WAEC 2010A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
  25. WAEC 2010How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?

Years with Lengths and Perimeters questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010