Geometry And Trigonometry Jamb Mathematics Past Questions

Question 66

A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
 

jamb 1980

  • A. 2cm
  • B. 3cm
  • C. 4cm
  • D. 5cm
  • E. 6cm
View Answer and Explanation

Question 67

The ratio of the areas of similar triangles is necessarily equal to
 

jamb 1980

  • A. the ratio of the corresponding sides
  • B. the ratio of the squares of corresponding sides
  • C. the ratio of the corresponding heights of the triangles
  • D. half the ratio of the corresponding heights of the triangles
  • E. the ratio of the corresponding bases to the heights of the triangles
View Answer and Explanation

Question 68

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?
 

jamb 1979

  • A. 20sq.cm
  • B. 100sq.cm
  • C. 25sq.cm
  • D. 16sq.cm
  • E. 36sq.cm
View Answer and Explanation

Question 69

An arc of circle of radius 2cm subtends an angle of 60º at the centre. Find the area of the sector
 

jamb 1979

  • A. \(\frac{2 \pi}{3}\)cm2
  • B. \(\frac{\pi}{2}\)cm2
  • C. \(\frac{\pi}{3}\)cm2
  • D. \(\pi\)cm2
View Answer and Explanation

Question 70

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is
 

jamb 1978

  • A. 100000
  • B. 1000000
  • C. 120000
  • D. 30000
  • E. 350000
View Answer and Explanation