PassSparkJAMB UTME Mathematics 2009 past questions and answers
This 2009 JAMB UTME Mathematics set has 40 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2009 set with instant marking.
Practise the full 2009 setTimed exam mode
Sample JAMB UTME Mathematics 2009 questions
1. The angles of a triangle are 2x, 3x and 4x. What is the size of the largest angle?
- 60 degrees
- 80 degrees
- 90 degrees
- 100 degrees
Answer: B. 80 degrees
Since 2x + 3x + 4x = 180 degrees, x = 20 degrees and the largest angle is 4x = 80 degrees.
2. A cylinder has radius 3 cm and height 7 cm. What is its volume in terms of pi?
- 21pi cm^3
- 42pi cm^3
- 54pi cm^3
- 63pi cm^3
Answer: D. 63pi cm^3
The volume is pi r^2 h = pi x 3^2 x 7 = 63pi cm^3.
3. An angle at the centre of a circle subtending an arc is 124 degrees. What is the angle at the circumference subtending the same arc?
- 31 degrees
- 54 degrees
- 62 degrees
- 124 degrees
Answer: C. 62 degrees
The angle at the circumference is half the angle at the centre, so it is 124/2 = 62 degrees.
4. In a right-angled triangle, the side opposite angle theta is 5 cm and the hypotenuse is 13 cm. What is cos(theta)?
- 12/13
- 5/12
- 5/13
- 13/12
Answer: A. 12/13
The adjacent side is sqrt(13^2 - 5^2) = 12 cm, so cos(theta) = adjacent/hypotenuse = 12/13.
5. A person walks 8 km due east and then 6 km due north. How far is the person from the starting point?
- 8 km
- 10 km
- 12 km
- 14 km
Answer: B. 10 km
The route forms a right triangle, so the displacement is sqrt(8^2 + 6^2) = 10 km.
More JAMB UTME Mathematics years
20262025202420232022202120202019201820172016201520142013201220112010200820072006200520042003200220012000
All JAMB UTME Mathematics years · JAMB UTME subjects
PassSpark questions are original practice questions written to each exam's syllabus and format, in the style of past questions. They are not official past papers and are not affiliated with JAMB, WAEC, NECO, any university or any exam body.