Second Term Examination
Class : JSS 2
Subject : Mathematics
Duration : 2 Hours
Name : _______________________________________
Section A : Objective Tests
Instruction : Attempt all questions.
1. The vertical number line in a graph is called ___________. (a) y- axis (b) u- axis (c) p-axis (d) x- axis
2. 7 is added to a number y, the result is greater than 15. Find the value of y. (a) y = 7 (b) y > 7 (c) y > 8 (d) y < 8
3. If a number is doubled and 12 is added, the result is 18. Find the number . (a) 1 (b) 3 (c) 15 (d) 6
4. A rectangle whose length is three times it’s width has a perimeter greater than 32 metres. Find its width . (a) x < 4 (b) x > 4 (c) x >= 4 (d) x = 4
5. Which of the following is / are true? (i) 11 > 9 (ii) -11 > 3 (iii) 3 < – 2 (a) i only (b) ii only (c) iii only (d) i and ii only
6. Simplify : 3(x + 1) + 2x. (a) 3x + 5 (b) x + 3 (c) 3x + 3 (d) 5x + 3
7. Subtract -7 from the sum of -6 and 9. (a) 10 (b) – 4 (c) – 10 (d) 4
8. A number line is a graph of all _______. (a) positive numbers (b) negative numbers (c) positive and negative numbers (d) zero numbers
9. How many lines of symmetry does a square have ? (a) 1 (b) 2 (c) 4 (d) 8
10. Simplify : xy (x + y) = (a) x^2y + xy (b) x^2y + xy^2 (c) xyx + xy (d) xyx – xyy
11. What is 10% of 400? (a) 4 (b) 4000 (c) 800 (d) 40
12. Approximate 0.0756 to 3 decimal places. (a) 0.078 (b) 0.076 (c) 0.0757 (d) 0.08
13. The length of a piece of paper is 13.4cm, correct to one decimal place. What is the range of the actual measurement? (a) 13.0cm to 14.0cm (b) 13.30cm to 13.5cm (c) 13.35cm to 13.44cm (d) 14.0cm to 14.5cm
14. ________ is the slope of a line showing rate of change. (a) Speed (b) Velocity (c) Graph (d) Gradient
15. In an exam 185 out of 200 candidates passed. What percentage failed? (a) 6 1/2% (b) 7 1/2% (c) 12% (d) 15%
16. Which of the following statements is/ are true with respect to a parallelogram? (i.)It has a maximum of four lines of symmetry (ii) It can be a kite (iii) The sum of the opposite angles is always 180°. (a) i only (b) ii only (c) iii only (d) i and ii only
17. The special name for a polygon of eight sides is ________. (a) nonagon (b) heptagon (c) hexagon (d) octagon
18. Find a number such that when it is doubled and 12 is added, the result is 60. (a) 24 (b) 36 (c) 48 (d) 16
19. Express 42 :70 in its simplest form. (a) 3 : 5 (b) 3 : 7 (c) 2 : 15 (d) 21 : 35
20. In a class of 15 students, 6 students are boys. Calculate the ratio of boys to girls in the class. (a) 2 : 3 (b) 2 : 5 (c) 3 : 5 (d) 4 : 3
21. James and John are to share 30 sweets. They divide them in the ratio 2 : 3. How many sweets does John have? (a) 14 (b) 18 (c) 12 (d) 6
22. Simplify : a – 2b – 4a + 3c + 4a + 5b. (a) a + 3b + 3c (b) 7a – 3b + 3c (c) a – 3b + 3c (d) – a + 3b – 3c
23. Express 45% as a fraction in its smallest terms . (a) 1/2 (b) 9/20 (c) 18/40 (d) 3/8
24. Evaluate : – 12 – ( – 11). (a) – 1 (b) – 23 (c) 1 (d) 23
25. Which of the following is not a multiple of 9? (a) 18 (b) 27 (c) 99 (d) 79
26. Find the value of x in this equation : 2(x + 3) = 3 (x + 4) (a) x = 6 (b) x = 12 (c) x = 4 (d) x = – 6
27. When I added a number to another number four times as big, the result is 30. Find the first number. (a) 5 (b) 6 (c) 25 (d) 15
28. Solve the equation : 2(p + 9) = 3 – p (a) p = 5 (b) p = – 5 (c) p = – 15 (d) p = 21
29. The point (0, 0) lies at __________. (a) x – axis (b) y – axis (c) origin (d) none of the above
30. Express the ratio as a fraction in its simplest form: 6 red cars to 4 blue cars. (a) 3 : 2 (b) 2 : 3 (c) 4 : 3 (d) 9 : 16
31. What is a shape with two sets of parallel sides called? (a) Trapezoid (b) Parallelogram (c) Kite (d) Rhombus
32. What is the value of x in 3(x – 4) = 21? (a) x = – 11 (b) x = – 3 (c) x = 3 (d) x = 11
33. What is the value of 12 + 2(12 – 9)^ 2 ? (a) 24 (b) 30 (c) 138 (d) 126
34. What is the value of 2/3 + (- 1/6) ? (a) – 1/2 (b) 1/3 (c) 1/2 (d) 5/6
35. A plane shape with four equivalent sides and four right angles. (a) circle (b) triangle (c) square (d) rectangle
36. An irregular polygon _______. (a) has all congruent sides and angles (b) has two congruent sides and angles (c) does not have all congruent sides and angles (d) one right angle
37. An equilateral triangle has ________. (a) all congruent sides (b) two congruent sides (c) no congruent sides (d) one right angle
38. Johnny jogged around the track 16 times. Each lap is 400 metres. Which process could determine the total distance he jogged ? (a) add 16 and 400 (b) divide 400 by 16 (c) multiply 400 by 16 (d) subtract 16 from 400
39. Which expression represents 4 less than twice a number, n? (a) 4 < n (b) n < 4 (c) 4 < 2n (d) 2n < 4
40. Which represents the value of x in 6 – 4x <= 26? (a) x <= – 8 (b) x >= – 8 (c) x <= – 5 (d) x >= – 5
41. How is 0.5600 written in standard form? (a) 5.6 × 10 (b) 5.6 × 10^ – 1 (c) 5.6 × 10^ -2 (d) 5.6 × 10^-3
42. The sum of a number , n, and 5 is subtracted from 8. Which expression represents this statement? (a) 8 – (n + 5) (b) (n + 5) + 8 (c) (n + 5)8 (d) 8 + (n + 5)
43. A scale drawing of a house shows 9cm × 10cm . If 6cm = 12 ft, what are the actual dimension? (a) 9ft × 10ft (b) 1ft × 2ft (c) 12ft × 6ft (d) 18ft × 20ft
44. The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles . (a) 165 miles (b) 50 miles (c) 82.5 miles (d) 41.25 miles
45. Solve the equation : w + 6 = 2( w – 6) (a) 12 (b) -12 (c) 18 (d) -18
46. Solve : 8(9) – 6(y – 12) = 0 (a) y = 0 (b) y = -72 (c) y = -12 (d) y = 24
47. During a football season, one team scored 23 goals more than another . If between them they scored 135 goals, how many goals did each team score? (a) 50, 73 (b) 54, 77 (c) 56, 79 (d) 61, 84
48. Solve : 4( 3b – 5) = 5(2b + 4) (a) b = 0 (b) b = 9 (c) b = 12 (d) b = 20
49. Calculate the area of a rectangle of length 12 and breadth 9. (a) 108sq unit (b) 42sq unit (c) 441sq unit (d) 21sq unit
50. ___________ is a plane figure bounded by straight line segments without a hole in it. (a) Variable (b) Algebraic expression (c) Ratio (d) Polygon
Section B : Theory
Instruction: Answer four questions in all. (Answer question 1 and any other 3 questions)
1a. The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
1b. The sum of two numbers is 95. If one exceeds the other by 15, Find the numbers.
2. Convert the following statements into equations:
(a) 3 added to a number is 11.
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4.
(d) 2 times the sum of the number x and 7 is 13.
3. Solve for r : 6 – R > 2. Represent the answer on a number line.
4. A legend reads 1cm : 15cm. If the scale drawing shows a ball that is 19cm in diameter, then what is the diameter of the ball in real life?
5. The number of electric bulbs manufactured by a factory during five consecutive years is given below:
Year Number of bulbs (kw)
i. 2017 – 3
ii. 2018 – 5
iii. 2019 – 7
iv. 2020 – 9
v. 2021 – 11
Draw a line graph representing the above data.
6. Use the table below to answer the question.
Stop Distance (km) Gas (Gallon)
1 85 9
2 46 3
3 76 7
4 49 4
5 50 5
At each stop, Tomi recorded the distance he traveled and the amount of gas he purchased for his car. In simplest form, what is the ratio of total distance (km) driven to the total gallons of gas used ?
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