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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 263 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 93 minutes? =
  3. 3.A clock shows 11:42. What time will it show 51 minutes later? (a) 12:33 (b) 12:43 (c) 1:33 (d) 12:23
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  5. 5.A clock shows 2:47. What time will it show 11 minutes later? (a) 3:08 (b) 2:58 (c) 2:48 (d) 3:58
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 28 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 19 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 33 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 15 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  13. 13.A clock shows 4:08. What time will it show 143 minutes later? (a) 6:41 (b) 6:21 (c) 7:31 (d) 6:31
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  16. 16.A clock shows 12:55. What time will it show 66 minutes later? (a) 2:11 (b) 2:01 (c) 1:51 (d) 3:01
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  18. 18.A clock shows 7:15. What time will it show 94 minutes later? (a) 8:49 (b) 8:39 (c) 9:49 (d) 8:59
  19. 19.A clock shows 9:17. What time will it show 97 minutes later? (a) 11:04 (b) 10:44 (c) 11:54 (d) 10:54
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  21. 21.A clock shows 5:15. What time will it show 139 minutes later? (a) 7:24 (b) 8:34 (c) 7:44 (d) 7:34
  22. 22.A clock shows 3:11. What time will it show 130 minutes later? (a) 5:21 (b) 6:21 (c) 5:31 (d) 5:11
  23. 23.A clock shows 1:34. What time will it show 51 minutes later? (a) 2:35 (b) 2:25 (c) 3:25 (d) 2:15
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 69 minutes? =
  26. 26.A clock shows 12:20. What time will it show 138 minutes later? (a) 2:48 (b) 2:28 (c) 3:38 (d) 2:38
  27. 27.A clock shows 10:24. What time will it show 135 minutes later? (a) 12:49 (b) 12:29 (c) 12:39 (d) 1:39
  28. 28.How many degrees does the hour hand of a clock turn in 158 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 11 minutes? =
  30. 30.A clock shows 10:02. What time will it show 62 minutes later? (a) 11:04 (b) 11:14 (c) 12:04 (d) 10:54
  31. 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 104 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 178 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 10 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 5 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 59 minutes? =
  39. 39.A clock shows 2:17. What time will it show 108 minutes later? (a) 4:05 (b) 3:55 (c) 4:15 (d) 5:05
  40. 40.How many degrees does the hour hand of a clock turn in 68 minutes? =

Answer key

  1. 145
  2. 46.5
  3. 12:33
  4. 68
  5. 2:58
  6. 109
  7. 108.5
  8. 168
  9. 9.5
  10. 198
  11. 7.5
  12. 73.5
  13. 6:31
  14. 133.5
  15. 36.5
  16. 2:01
  17. 48
  18. 8:49
  19. 10:54
  20. 78
  21. 7:34
  22. 5:21
  23. 2:25
  24. 80
  25. 34.5
  26. 2:38
  27. 12:39
  28. 79
  29. 5.5
  30. 11:04
  31. 150
  32. 73
  33. 52
  34. 89
  35. 60
  36. 30
  37. 118
  38. 354
  39. 4:05
  40. 34

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