SS1 third term mathematics past questions and answers

Question: Solve the simultaneous equations:

2x – y &= 7 \\

x + 2y &= 11

\end{align*} \]

– a) \(x = 3, y = 1\)

– b) \(x = 2, y = 3\)

– c) \(x = 4, y = 2\)

– d) \(x = 5, y = 4\)

– **Answer:** a) \(x = 3, y = 1\)

42. **Question:** If the mean of a set of numbers is 15 and the sum of the numbers is 90, how many numbers are in the set?

– a) 3

– b) 4

– c) 5

– d) 6

– **Answer:** c) 5

43. **Question:** The sum of the ages of Tom and Jerry is 40 years. If Tom is 5 years older than Jerry, how old is Jerry?

– a) 15 years

– b) 18 years

– c) 20 years

– d) 25 years

– **Answer:** b) 18 years

44. **Question:** If the HCF of two numbers is 9 and their LCM is 72, what are the numbers?

– a) 18, 36

– b) 9, 72

– c) 27, 36

– d) 9, 18

– **Answer:** a) 18, 36

45. **Question:** Solve for \(x\) in the equation \(\frac{2}{3}x + 5 = 9\).

– a) 3

– b) 6

– c) 9

– d) 12

– **Answer:** b) 6

46. **Question:** A rectangular field is 15 meters long and 10 meters wide. What is its perimeter?

– a) 25 meters

– b) 40 meters

– c) 50 meters

– d) 60 meters

– **Answer:** c) 50 meters

47. **Question:** The exterior angles of a regular polygon are in arithmetic progression, and the smallest angle is 30°. If there are 8 sides, what is the common difference of the progression?

– a) 5°

– b) 10°

– c) 15°

– d) 20°

– **Answer:** a) 5°

48. **Question:** Solve for \(y\) in the inequality \(2y + 7 < 15\).

– a) \(y < 4\)

– b) \(y > 4\)

– c) \(y < 6\)

– d) \(y > 6\)

– **Answer:** a) \(y < 4\)

49. **Question:** If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, what type of triangle is it?

– a) Equilateral

– b) Isosceles

– c) Scalene

– d) Right-angled

– **Answer:** d) Right-angled

50. **Question:** The sum of the first \(n\) terms of an arithmetic series is given by \(S_n = \frac{n}{2}(2a + (n-1)d)\), where \(a\) is the first term and \(d\) is the common difference. If \(S_n = 45\), \(a = 3\), and \(d = 2\), what is \(n\)?

– a) 5

– b) 6

– c) 7

– d) 8

– **Answer:** b) 6

51. **Question:** Express 150% as a decimal.

– a) 1.5

– b) 1.25

– c) 0.15

– d) 0.75

– **Answer:** a) 1.5

52. **Question:** If \(\sin \theta = \frac{3}{5}\) and \(\cos \theta < 0\), in which quadrant does the angle \(\theta\) lie?

– a) I

– b) II

– c) III

– d) IV

– **Answer:** c) III

53. **Question:** Solve for \(x\) in the equation \(5x – 2 = 3x + 10\).

– a) 4

– b) 6

– c) 8

– d) 12

– **Answer:** c) 8

54. **Question:** If \(a : b = 3 : 4\), and \(b : c = 2 : 5\), what is the ratio \(a : c\)?

– a) 3 : 5

– b) 6 : 7

– c) 4 : 5

– d) 5 : 6

– **Answer:** b) 6 : 7

55. **Question:** Solve the inequality \(3x – 4 > 5\).

– a) \(x < 3\)

– b) \(x > 3\)

– c) \(x < -1\)

– d) \(x > -1\)

– **Answer:** b) \(x > 3\)

56. **Question:** If \(p^2 = 36\), what are the possible values of \(p\)?

– a) \(p = 6\) or \(p = -6\)

– b) \(p = 3\) or \(p = -3\)

– c) \(p = 9\) or \(p = -9\)

– d) \(p = 12\) or \(p = -12\)

– **Answer:** a) \(p = 6\) or \(p = -6\)

57. **Question:** A circle has a circumference of \(30\pi\) cm. What is its radius?

– a) 5 cm

– b) 10 cm

– c) 15 cm

– d) 20 cm

– **Answer:** b) 10 cm

58. **Question:** Simplify \(2^4 \times 3^2\).

– a) 72

– b) 144

– c) 216

– d) 576

– **Answer:** b) 144

59. **Question:** If \(f(x) = 2x + 3\) and \(g(x) = x^2 – 1\), what is \((f \circ g)(