Mathematics 3rd term exam for JSS2 2025

Objective ( Attempt all questions)

1. The longest side of a right angled triangle is ____

2. An airport runway measuring 32km is drawn to a scale of 1cm to 5km, find its length on drawing

3. Two towns are 18km apart. The distance between them on the map is 6cm, what is the scale of the map?

4. Which of these is NOT a Pythagorean triples?

5. Find the scale factor of the triangles below

6. Given that the hypotenuse is 13cm, if one of the sides is 5cm, find the remaining side.

7. A polygon with equal sides and equal angles is said to be _____

8. Find the number of triangles that can be formed from a Pentagon

9. If x and 50⁰ are interior angles formed by two parallel lines and a transversal, what is x ?

10. A polygon with six sides is called ____

11. The sum of interior angles of a regular polygon is given as

12. Which of these is/are TRUE about an isosceles triangle? (i) Two sides are equal. (ii) Base angles are equal. (iii) Alltwen sides are equal. (iv) Opposite sides are parallel

13. Find b in the figure

14. A quadrilateral with all the sides and angles equal is called

15. How many lines of symmetry has a trapezium?

16. The coordinates P(0, 1) can be read as

17. What is the slope of the graph Y = 5X - 4

18. When the slopes of line graphs are equal, they are said to be

19. The sum of exterior angles of any polygon is equal to

20. Which of these is NOT a property of a parallelogram?

Subjective (Attempt all questions)

21. Find the sum of angles in a regular heptagon.

22. Show whether 6, 7 and 9 is a Pythagorean triples

23. How is angle of elevation related to angle of depression? ( Include the diagram)

24. Use four figure table to find the square root of 961

25. The bearing of A from G is 203⁰, find the bearing of G from A.

26. Find the value of y in the figure below

27. Find the value of x in the given diagram

28a. Calculate the size of each exterior angle of a 9 sided regular polygon. (b) Write the name of the polygon.

29 and 30. Find the unknown angles, a nd b, in the figure below, give reasons for your answers

Theory (Answer any FIVE questions)

1. The angle of elevation of the top of a tower from a point 42m away from its base on level ground is 36⁰, find the height of the tower. ( Sketch the information before solving)

2. The sum of angles in a polygon is 16 right angles. (a) How many sides has the polygon? (b) What is the name of the polygon?

3. In the figure, triangle OAB is enlarged to triangle OCD. (a) What is the centre of enlargement? (b) Find the scale factor. (c) Calculate the length CD.

4. Find (a) the acute angle bearing (b) the three-figure bearing of p from y in the figure below

5. Find the lettered angles in the figure (give reasons for your answers)

6. Find the unknown sides in the figure below