Unit 6: Direction Sense and Data Interpretation - Practice Quiz

1 Which direction is opposite to north?

2 Which direction lies between north and east?

3 If you are facing east and turn left, which direction will you face?

4 Ravi walks 5 m north and then 5 m south. Where is he compared with his starting point?

5 A person walks east and then turns right. In which direction does the person walk next?

6 Maya is facing north. She turns right, then turns right again. Which direction is she facing now?

7 What does data interpretation mainly involve?

8 Which of the following is a common source of data for interpretation?

9 What is the average of 4, 6, and 8?

10 What is of 100?

11 A student scores 40 out of 50. What percentage did the student score?

12 What is the main purpose of a table?

13 In a table, the horizontal arrangements are called what?

14 In a table, the vertical arrangements are called what?

15 A bar graph represents data using what?

16 In a bar graph, the height or length of a bar usually represents what?

17 A pie chart is divided into what?

18 A complete pie chart represents what percentage of the data?

19 A line graph is especially useful for showing what?

20 What is usually used to join the points in a line graph?

21 Meera walks km north, turns right and walks km, and then turns right again and walks km. What is her shortest distance and direction from the starting point?

22 Arun is facing west. He turns left, walks m, turns left again, walks m, and finally turns right. Which direction is he facing now?

23 A is km north of B. C is km east of A. D is km south of C. In which direction is D from B?

24 In the morning, Kiran is standing so that his shadow falls exactly to his left. Which direction is he facing?

25 Ravi walks m south, turns right and walks m, then turns right and walks another m. Where is he relative to his starting point?

26 A company table provides the revenue of all four divisions but omits the expense of one division. Which quantity can still be determined with certainty?

27 A price index uses 2022 as the base year with an index value of . If the index is in 2024, what does this indicate?

28 A student scores , , , , and in five tests. What is the average score?

29 A company has employees. If are on leave and of the remaining employees work remotely, how many employees are working remotely?

30 The sales of a shop increase by in one month and then decrease by in the next month. What is the net percentage change from the original sales?

31 A table lists product data: A— units at each; B— units at each; C— units at each; D— units at each. Which product generates the highest revenue?

32 A result table shows: School P— passed out of ; Q— out of ; R— out of ; S— out of . Which school has the lowest pass percentage?

33 Quarterly sales for four regions are: North— in Q1 and in Q2; South— and ; East— and ; West— and . Which region records the greatest percentage increase?

34 A bar graph shows annual production, in thousand units, as follows: 2019—, 2020—, 2021—, 2022—, and 2023—. What is the average annual production?

35 A bar graph shows that a factory produced tonnes in 2021 and tonnes in 2022. By what percentage did production increase?

36 In a household budget pie chart, education occupies . If the total monthly budget is , how much is allocated to education?

37 A budget pie chart assigns to food and to rent. What percentage of the total budget is spent on these two items together?

38 A pie chart divides students among five courses in the proportions , , , , and . What is the difference between the largest and smallest groups?

39 A line graph shows monthly visitors to a museum: January—, February—, March—, April—, and May—. What is the percentage increase from January to May?

40 A line graph shows profits of , , , , and lakh from 2019 to 2023, respectively. Between which consecutive years was the percentage increase greatest?

41 Point is 12 km east of . Point is 5 km north of , is 12 km west of , is 9 km south of , and is 5 km east of . In which direction and at what distance is from ?

42 A person is initially facing north-west. He turns clockwise, then anti-clockwise, and finally clockwise. Which direction is he facing now?

43 is 7 m north of . is 10 m east of , and is 7 m north of . What is the shortest distance and direction of from ?

44 A cyclist travels 15 km north, turns right and travels 8 km, turns right and travels 6 km, then turns left and travels 4 km. Relative to the starting point, what is the cyclist's position?

45 The production of four units in 2021 and 2022 was as follows: A: 240 and 300, B: 180 and 240, C: 320 and 400, D: 260 and 300. By what percentage did the total production increase from 2021 to 2022?

46 The average monthly sales for six months is units. Sales during the first five months were , , , , and units. What were the sales in the sixth month?

47 In an examination, candidates appeared. Of them, were female and of all candidates passed. If of the male candidates passed, what percentage of the female candidates passed?

48 A frequency table gives scores of 10, 20, 30, and 40 with frequencies 3, 5, 7, and 5 respectively. What is the difference between the mean and the median score?

49 The values 10, 20, 30, and 40 have frequencies 4, , 6, and 5 respectively. If the mean is 26, find .

50 A bar graph shows departmental outputs as follows: A = 48, B = 72, C = 60, D = 90, and E = 80. What is the ratio of the combined output of departments above the average to that of departments below the average?

51 A bar graph records the numbers of applicants and selected candidates in four departments: P: 240 and 72, Q: 300 and 105, R: 180 and 54, and S: 280 and 98. Which department has the highest selection rate?

52 A family's monthly income is represented by a pie chart. The sectors for food, rent, education, transport, and savings are , , , , and respectively. If the monthly income is $60,000, how much is spent on rent and education together?

53 In a pie chart of votes received by four candidates, the angles are A: , B: , C: , and D: . If candidate C received 3,600 votes, how many votes were cast in total?

54 A line graph gives annual sales for 2019–2023 as 240, 300, 270, 360, and 450 units respectively. What is the percentage increase from 2019 to 2023?

55 A line graph records the number of visitors to a museum over five days as Monday: 420, Tuesday: 510, Wednesday: 480, Thursday: 600, and Friday: 690. What percentage of the total visitors came on Thursday and Friday together?

56 The average score of 12 students is 68. When the highest score and the lowest score are excluded, the average of the remaining 10 students is 66. If the highest score is 94, what is the lowest score?

57 A bar graph gives the exports of five products in million dollars as A: 84, B: 126, C: 105, D: 147, and E: 98. If exports of B and D together are what percentage of total exports?

58 A company's quarterly revenue line graph shows , , , and million. By what percentage must increase to equal the average revenue of the other three quarters?

59 A pie chart divides a company's expenditure into salaries, materials, rent, transport, and other costs in the ratio of sector angles . If materials cost $45,000, what is the total expenditure?

60 A survey records the number of books read by four groups: Group A has 120 students with an average of 4 books, Group B has 80 students with an average of 6 books, Group C has 150 students with an average of 3 books, and Group D has 50 students with an average of 8 books. What is the overall average number of books per student?