7th Math Monthly Quiz Challenge

1. A triangle has three sides and three ___ that meet at its vertices.

2. If ∠1 and ∠5 are corresponding angles, and ∠1 = 120°, what is ∠5?

3. What are terms like 18c and 11d called since they have different letter-numbers?

4. If two parallel lines are cut by a transversal, corresponding angles are ____.

5. When a transversal cuts two lines and interior angles on the same side sum to 180°, the lines are ___.

6. An altitude of a triangle is a __ from a vertex to the opposite side.

7. Inversion sequence for “tortoise speeds” of 8-step path count: 2, 3, 5, 8, 13,… How many rhythms of 8 beats?

8. A triangle with ∠A = ∠B = 70° cannot exist because the third angle would be negative. Which condition fails?

9. In an inversion sequence for a lineup of seven, how many possible values can each term take?

10. If two parallel lines are intersected by a transversal, alternate interior angles are ___.

11. What is the simplified form of 5c + 3c + 10c?

12. Compute 3/2 × 3/4

13. If a rectangle has length 'l' and breadth 'b', what is the expression for its perimeter?

14. Internet costs ₹8 per hour. Cost of 3/4 hour?

15. In a 3×3 magic square the centre must be

16. Divide: 1/2 ÷ 3/5

17. If Shabnam is 3 years older than Aftab, and Aftab's age is represented by 'a', what is the expression for Shabnam's age?

18. An acute-angled triangle has all angles __ 90°.

19. Constructing a triangle with given AB, BC, AC requires arcs of radii BC and AC centered at __ and __.

20. What is the simplified form of the expression l + b + l + b?

21. In the addition UT + T = TU, T = 5 and TU = 15. What is U?

22. In Fig.5.26, if ∠6 is 135°, what is ∠2 (vertically opposite)?

23. Which property is used when 4(x + y) becomes 4x + 4y?

24. The nth odd number is

25. What happens when you remove brackets from (40x + 75y) - (6x + 10y)?

26. The sum of two odd numbers is always

27. Given two angles and the included side, the third vertex is found at the __ of the two angle arms.

28. Perpendicular lines are also parallel when both are perpendicular to a third line? True or False?

29. What is the 10th Virahāṅka–Fibonacci number?

30. If lines AB ∥ CD ∥ EF, and line AD ⟂ AB, then AD ⟂ CD is __(True/False).

31. Four fountains fill cistern in 1, 1/2, 1/4, 1/5 day respectively. Together fill time?

32. In Charu's quiz with scores 7p - 3q, 8p - 4q, and 6p - 2q, what is her total score?

33. A right triangle has __ right angle(s).

34. How many length-eight rhythms of 1s and 2s exist?

35. In folding paper, a fold perpendicular to a fold perpendicular to the original line gives a line ___.

36. In a 2×2 calendar square with top-left number 'a', what are the diagonal sums?

37. Loose pages numbered 1–100; sum of 50 two-sided sheets? Must be

38. Multiply: 5/12 × 7/24

39. The Virahāṅka–Fibonacci sequence begins

40. To construct ∆ABC given AB, AC, and ∠A, one first draws AB, then constructs ∠A, and marks C on the ___.

41. Simplify 12/7 × 5/24

42. What is the simplified form of 7p - 3q + 8p - 4q + 6p - 2q?

43. What is 1/2 × 1/4?

44. What is the sum of a linear pair of angles?

45. The construction of an equilateral triangle with side AB uses two circles of radius AB centered at A and B. The third vertex is their ___.

46. The parity of the 20th Virahāṅka–Fibonacci term is

47. What do we call a line that intersects two or more lines?

48. A 3×3 magic square of 2–10 has magic sum

49. Sum of odd number of even numbers is always

50. A triangle with sides 4 cm, 5 cm and included angle A = 45° is constructed by drawing AB, ∠A, and marking C on an arc of radius ___.

51. In an equilateral triangle, all three sides are equal and all three angles are each ___°.

52. What is the term for lines that never meet, no matter how far extended?

53. Two perpendicular lines always form an angle of ___.

54. Three collinear points do not form a ___ on the plane.

55. If Design C appears at positions 3, 6, 9, 12..., what is the expression for the nth occurrence of Design C?

56. For sides 3 cm, 4 cm and 8 cm, no triangle exists because 8 cm ≥ 3 cm + 4 cm. This is the ___.

57. A tortoise walks 1/4 km in 1 hour. How far in 3 hours?

58. An exterior angle of a triangle equals the sum of the two __ interior angles.

59. Aaron walks 3 km in 1 hour. How far in 2/5 hour?

60. The sum of the three interior angles of any triangle is always __.

61. What is the result when you simplify 3 + 2 × (y - 1)?

62. If the cost of a coconut is ₹35 and jaggery is ₹60 per kg, what is the expression for 'c' coconuts and 'j' kg jaggery?

63. A triangle with two equal sides is called ___.

64. Liswini has 50 loose pages (100 sides). Can sum of page numbers be 6000?

65. Aaron walks 3 km in 1 hour. How far can he walk in 5 hours?

66. What is the measure of each angle when four equal angles are formed by intersecting lines?

67. Distance covered in 3/4 hour at 2/5 km/hour?

68. What is the standard way to write 4 × n in algebraic expressions?

69. Martin and Maria are one year apart. Their ages sum to 112. Is this possible?

70. Which pair of angles are linear pairs in intersecting lines? (choose order)

71. A bulb toggled 77 times starting on yields it

72. When paper is folded so a crease is perpendicular to a given line, that crease represents an __.

73. If ∠a and ∠b are vertically opposite, and ∠a = 70°, then ∠b = ___.

74. If each L-shaped pattern needs 2 matchsticks, what is the algebraic expression for 'n' L-shaped patterns?

75. A triangle with sides 6 cm, 7 cm and 13 cm cannot exist because 13 = 6 + 7, so the circles would __.

76. In an arrangement of children by height, each child calls out the number of taller children in front. What does a “0” indicate?

77. The nth even number is given by

78. In a 3×3 grid filled with 1–9 without repetition, each row must sum to—

79. Solve: (3/4) × (2/5)

80. An obtuse-angled triangle has one angle __ 90°.

81. Name the property: a(b + c) = ab + ac.

82. Simplify: (1/2) × (3/4)

83. In Fig.5.28, if ∠3 = 50° and lines are parallel, find ∠6 (corresponding).

84. Magic square property: adding same number to each term changes magic sum by

85. Farmer gives each of 5 grandchildren 2/3 acre. Total land given?

86. In a cryptarithm, letters stand for

87. Kishor’s puzzle: five odd cards must sum to 30. Is it possible?

88. 5 cups tea use 1 1/4 litre milk. Milk per cup?

89. On a plane, two lines that meet at exactly one point are ___.

90. What are letters like 'a' and 's' that represent numbers called?

91. The sum of an even number of odd numbers is

92. When two lines intersect, which angles are always equal?

93. Are the expressions 5u and 5 + u equal to each other?

94. Opposite angles formed by two intersecting lines are called ___.

95. What are terms like 5c, 3c, and 10c called?

96. In the matchstick triangle pattern, what is the general expression for the number of matchsticks in step 'y'?

97. In ∆ABC, if BC ∥ XY drawn through A, then ∠A + ∠B + ∠C = ∠XAB + ∠BAC + ∠YAC = __.

98. Divide: 5 ÷ 1/6

99. If a = 5, what is the value of the expression 2a + 3?

100. Find shaded fraction (rectangle 1/2 by 1/4).