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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 104 · 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.A clock shows 9:36. What time will it show 26 minutes later? (a) 9:52 (b) 11:02 (c) 10:02 (d) 10:12
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  4. 4.A clock shows 9:00. What time will it show 14 minutes later? (a) 9:14 (b) 10:14 (c) 9:24 (d) 9:04
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  8. 8.A clock shows 1:46. What time will it show 17 minutes later? (a) 2:13 (b) 1:53 (c) 2:03 (d) 3:03
  9. 9.A clock shows 1:23. What time will it show 11 minutes later? (a) 1:24 (b) 1:34 (c) 1:44 (d) 2:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  11. 11.A clock shows 3:19. What time will it show 11 minutes later? (a) 4:30 (b) 3:20 (c) 3:40 (d) 3:30
  12. 12.A clock shows 2:01. What time will it show 75 minutes later? (a) 3:26 (b) 3:06 (c) 3:16 (d) 4:16
  13. 13.How many degrees does the minute hand of a clock turn in 44 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 31 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 55 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 48 minutes? =
  18. 18.A clock shows 7:02. What time will it show 31 minutes later? (a) 7:43 (b) 8:33 (c) 7:33 (d) 7:23
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  22. 22.A clock shows 3:27. What time will it show 128 minutes later? (a) 5:25 (b) 6:35 (c) 5:35 (d) 5:45
  23. 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 106 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  26. 26.A clock shows 8:15. What time will it show 61 minutes later? (a) 9:26 (b) 9:16 (c) 9:06 (d) 10:16
  27. 27.A clock shows 1:11. What time will it show 114 minutes later? (a) 3:05 (b) 4:05 (c) 3:15 (d) 2:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  31. 31.A clock shows 6:52. What time will it show 87 minutes later? (a) 9:19 (b) 8:09 (c) 8:29 (d) 8:19
  32. 32.A clock shows 7:34. What time will it show 118 minutes later? (a) 10:32 (b) 9:32 (c) 9:42 (d) 9:22
  33. 33.How many degrees does the minute hand of a clock turn in 59 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 53 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 58 minutes? =
  38. 38.A clock shows 1:47. What time will it show 120 minutes later? (a) 3:37 (b) 4:47 (c) 3:57 (d) 3:47
  39. 39.A clock shows 11:28. What time will it show 30 minutes later? (a) 12:08 (b) 11:58 (c) 12:58 (d) 11:48
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =

Answer key

  1. 10:02
  2. 11
  3. 62.5
  4. 9:14
  5. 37
  6. 164.5
  7. 146
  8. 2:03
  9. 1:34
  10. 29
  11. 3:30
  12. 3:16
  13. 264
  14. 37.5
  15. 186
  16. 330
  17. 288
  18. 7:33
  19. 32.5
  20. 134
  21. 53
  22. 5:35
  23. 48
  24. 53
  25. 129.5
  26. 9:16
  27. 3:05
  28. 34.5
  29. 50.5
  30. 168.5
  31. 8:19
  32. 9:32
  33. 354
  34. 318
  35. 7
  36. 93
  37. 348
  38. 3:47
  39. 11:58
  40. 32.5

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