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Sunday, 21 June 2026
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Mathematics Past Questions and Answers

Topic: Distance between two points

Jamb Mathematics Questions - Distance between two points

Question 11:
What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
  • A \(\sqrt{2239cm}\)
  • B \(\sqrt{2}\) x 2239cm
  • C \(\frac{\sqrt{3}}{2}\) 2239cm
  • D \(\sqrt{3}\) x 2239cm
  • E 4478cm
View Answer & Explanation
Question 12:
Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?
  • A 51\(\frac{3}{7}\)km per hour
  • B 72km per hour
  • C 37\(\frac{1}{2}\) km per hour
  • D 66km per hour
  • E 75km per hour
View Answer & Explanation
Question 13:
A girl walks 45 meters in the direction 050o from a point Q to a point X. She then walks 24 meters in the direction 140o from X to a point Y. How far is she then from Q?
  • A 69m
  • B 57m
  • C 51m
  • D 21m
View Answer & Explanation
Question 14:
The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35o and 55o. Find the distance between the two points of observation
  • A 10(sin 35<sup style='font-size: smaller;'>o</sup> - sin 55<sup style='font-size: smaller;'>o</sup>)
  • B 10 cos35<sup style='font-size: smaller;'>o</sup> - cos 55<sup style='font-size: smaller;'>o</sup>
  • C 10(tan35<sup style='font-size: smaller;'>o</sup> - tan55<sup style='font-size: smaller;'>o</sup>)
  • D 10(cot35<sup style='font-size: smaller;'>o</sup> - cot55<sup style='font-size: smaller;'>o</sup>)
View Answer & Explanation
Question 15:
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
  • A \(\frac{(p + q)}{pw + qu}\)
  • B \(\frac{uw(p + q)}{pw + qu}\)
  • C \(\frac{uw(p + q)}{pw}\)
  • D \(\frac{uw}{pw + qu}\)
View Answer & Explanation