Mathematics JSS 2 Third Term Examination

Third Term Examination

Class : JSS 2

Subject : Mathematics

Section A : Objective Questions

1. How many sides has nonagon?  (a) 12  (b)  8   (c) 7   (d) 9

2. The sum of angles at a point is __________.  (a) 180°  (b) 114°  (c) 360°  (d) 90°

3. How many lines of symmetry are in a square?  (a) 2  (b) 4  (c) 3  (d) 1

4. The compass bearing of 290° is _________.  (a) N290°W  (b) S90°W  (c) N70°W  (d) N70°E

5. All these are types of data representation except _______.   (a) bar chart  (b) histogram  (c) pie chart  (d) ideograph

6. Angles of Elevation is when the observer is looking _________.  (a) upwards  (b) downwards  (c) right  (d) left

7. _______________ is a method of studying event in life which may occur by chance.   (a) Dividend  (b) Probability  (c) Statistics (d) Geometry

8. A bag contains 5 good eggs and 2 bad eggs, what is the probability of picking a good egg?  (a) 5/7  (b) 1/7  (c) 2/7  (d) 2/5

9. What is the square root of 169?   (a) 13  (b) 12  (c) 14  (d) 15

10. What is the probability of picking a letter A in the word PYTHAGORAS?   (a) 3/8  (b) 1/5  (c) 3/10  (d) 3/5

11. A fair dice is tossed once. What is the probability of having an even number?  (a) 5/6  (b) 1/5  (c) 1/2   (d) 1/6

12. A rectangle has a Length of 8cm and breadth of 6cm, what is its area?  (a) 50cm²   (b) 48cm²   (c) 38cm²    (d) 40cm²

13. Solve the inequality 5x  –  4 <  11.               (a) x < 3   (b) x > 3   (c) x = 3   (d) x < 4

14. Find the value of Y in 4y = 6 + y.             (a) y = 1   (b) y = 3   (c) y = 2    (d) y = 4

15. Round off 39.465 to one decimal place.   (a) 30.5  (b) 30. 46   (c) 30.7  (d) 30.71

16. Find the mean of the following: 10, 12, 14 and 16.   (a) 12   (b) 13   (c) 14   (d) 15

17. Find the median of the following numbers : 2, 6, 6, 8, 4, 2, 7, and 9.                         (a) 6  (b) 8  (c) 4   (d) 5

18. Find the area of the parallelogram with base 25cm and height 15cm.                         (a) 275cm² (b) 250cm² (c) 375cm² (d) 300cm²

19. Find the truth set of 5x – 8 <= 2x + 4.      (a) {x >= 4}  (b) {x >= – 4}  (c) {x <= 4}  (d) {x <= – 4}

20. Kalu throws a die, what is the probability that he throws the number 2?  (a) 1  (b) 2/3  (c) 1/2   (d) 1/6

21. A triangle with two sides and two angles equal is called ________ triangle.  (a) scalene   (b) right angle  (c) isosceles  (d) equilateral

22. When two angles add up to 360°, they are said to be _______.  (a) supplementary angles   (b) adjacent angles  (c) conjugate angles (d) complementary angles. 

23. The compass bearing S40°E converted to a three figure bearing is _________.  (a) 140°  (b) 040°   (c) 180°   (d) 050°

24. If the bearing of A from B is 250°, what is the bearing of B from A is ________.          (a) 080°  (b) 250°   (c) 110°   (d) 070°

25. Express 17240 in standard form.  (a) 1.724  x 10¹  (b) 1.724 x 10³   (c) 1.724 x 104  (d) 1.724 x 10²

26. When 7 is multiplied by its multiplicative inverse, the result is ________.  (a) 1/7   (b) 1    (c)  – 7     (d)  – 1

27. A trader bought a mobile phone for 15000 and sold it for 12000. Find the percentage loss.  (a) 25%   (b) 20%   (c) 10%   (d) 30%

28. Arrange the numbers : – 2, – 5, 3, 0, – 8 in descending order.                                               (a) – 5, – 8, 3, 0, – 2   (b) 0, – 2, 3, – 5, – 8   (c) – 8, – 5, – 2, 0, 3    (d) 3, 0, – 2, – 5, – 8

29. Which of the following are Pythagorean triples? I. (3, 4, 5) ii. (5, 12, 13)  iii. (8, 13, 17).  (a) I and II only  (b) I only   (c) II and III only    (d) I, II and III

30. Calculate the total surface area of a closed cylinder of base radius 3.5cm and height 8cm.  (Take pie = 22/7)  (a) 253 cm²  (b) 353 cm²  (c) 885.5 cm²   (d) 503 cm²

 

Section B : Theory Questions

Answer any four (4) questions, from this section. 

1a.) Evaluate (3 3/4 + 1 1/2) ÷ 7/12.

1b.) Solve the equation 3(2x + 1) / 4  = (x  –  3)/6

2.) A closed cylinder has a volume of 308cm³ and a base area of 38.5cm². Find the height of the cylinder.

3.) An isosceles triangle has equal sides 10cm long and a base of 6cm long. Calculate the altitude (i.e. height) of the triangle correct to 2 decimal places.

4. The following items were bought from the market:

Items                         Amount  (#)

1.     Garri                           1000

2.      Yam                             1100

3.     Plantain                       1200

4.     Beans                             700

5.     Meat                               200

i. Draw a pie chart to illustrate the information.

5a.  The angle of elevation of the top of a tree is 36°, the tree casts a shadow 42m long. How tall is the tree?  ( tan 36° = 0.72645)

5b. From the top of a tower, the angle of depression of a man is 54°, find the distance between the man and the foot of the tower and 20m at the adjacent side.  (tan 54° = 1.3763)