Unit 3: Mensuration, Calendar and Clocks - Practice Quiz

1 What is the perimeter of a rectangle having length cm and breadth cm?

2 What is the total surface area of a cube with side cm?

3 What is the volume of a cube with side cm?

4 Which formula gives the total surface area of a cuboid with length , breadth , and height ?

5 What is the volume of a cuboid measuring cm by cm by cm?

6 What is the surface area of a sphere of radius ?

7 Which formula gives the volume of a sphere of radius ?

8 What is the curved surface area of a hemisphere of radius ?

9 What is the total surface area of a hemisphere of radius ?

10 Which formula gives the curved surface area of a cone with radius and slant height ?

11 What is the volume of a cone with base radius and height ?

12 What is the curved surface area of a cylinder with radius and height ?

13 What is the volume of a cylinder having radius cm and height cm?

14 How many days are there in an ordinary year?

15 Which of the following is a leap year?

16 If March 1 is a Tuesday, what day is March 8 of the same year?

17 If January 1 is a Monday, what day is January 4?

18 How many complete rotations does the minute hand make in hours?

19 At exactly 3:00, what is the smaller angle between the hour hand and the minute hand?

20 Through how many degrees does the minute hand move in one minute?

21 The volume of a cube is . What is its total surface area?

22 A cube of side cm is cut into smaller cubes of side cm. What is the total surface area of all the smaller cubes?

23 A cuboid has length cm, breadth cm, and volume . What is its total surface area?

24 A water tank measures m by m by m. What is its full capacity?

25 The surface area of a sphere is . Using , what is its volume?

26 A solid hemisphere has radius cm. Using , what is its total surface area, including the circular base?

27 A cone has radius cm and height cm. Using , what is its curved surface area?

28 A cone has diameter cm and height cm. Using , what is its volume?

29 A closed cylindrical container has radius cm and height cm. Using , what is its total surface area?

30 A rectangular garden is m long and m wide. A path m wide is built outside it on all four sides. What is the area of the path?

31 If January 1 of an ordinary year is a Tuesday, on which day will January 1 of the next year fall?

32 Which of the following years is a leap year under the Gregorian calendar rules?

33 January 1, 2025 was a Wednesday. On which day of the week was August 15, 2025?

34 If May 10 of a particular year is a Monday, on which day will June 10 of the same year fall?

35 The calendar for the year 2021 can be reused for which of the following years?

36 What is the smaller angle between the hour hand and the minute hand at ?

37 At what time between and o'clock do the hands of a clock coincide?

38 What is the mirror image time of on a standard analog clock?

39 A clock gains minutes every hour. It is set correctly at noon. What time will it display when the actual time is p.m.?

40 A clock takes seconds to strike times. How long will it take to strike times at the same rate?

41 A rectangular sheet measuring is rolled without overlap to form a cylinder. It can be rolled either along its length or along its breadth. What is the ratio of the larger possible volume to the smaller possible volume?

42 The volume of a cube is increased by while its shape remains unchanged. By what percentage does its total surface area increase?

43 An open rectangular box has external dimensions . Its side walls and base have a uniform thickness of . What is the volume of material used?

44 A solid sphere of radius is cut by three mutually perpendicular planes passing through its center, producing eight separate octants. What is the total surface area of all eight pieces?

45 A cone of base radius and height is joined at its base to the flat face of a hemisphere of radius . What is the external surface area of the resulting solid?

46 A sector of radius and central angle is rolled so that its radii meet, forming a cone. What is the cone's volume?

47 A cylindrical vessel of radius contains water. When identical solid metal spheres of radius are completely submerged, the water level rises by . How many spheres were submerged?

48 A solid cube of edge is completely submerged in a cylindrical vessel of internal radius . Assuming no water overflows, by how much does the water level rise?

49 Under the Gregorian calendar rules, how many leap years are there from through , both years inclusive?

50 Which is the first year after whose calendar is identical to that of ?

51 How many odd days are there in the interval from January to January ?

52 Given that January was a Monday, on which day of the week will February fall?

53 If August was a Friday, what day of the week was January ?

54 February in a particular year contains exactly five Sundays. Which condition must necessarily be true?

55 At what time between and o'clock are the hour and minute hands exactly opposite each other?

56 What is the smaller angle between the hands of a clock at ?

57 A clock gains minutes every hours. It is set correctly at noon on Monday. What time will it indicate at actual noon on Friday?

58 During one complete -hour period, how many times do the hands of a correctly working clock form an angle of exactly ?

59 At what time between and o'clock do the hands of a clock first form a right angle?

60 A clock loses minutes in every actual hours. It is set correctly at AM on Monday. What is the actual time when the clock indicates PM on Thursday?