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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 898 · 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 2:03? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 37 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 32 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  6. 6.A clock shows 12:16. What time will it show 88 minutes later? (a) 2:44 (b) 1:44 (c) 1:54 (d) 1:34
  7. 7.A clock shows 9:39. What time will it show 122 minutes later? (a) 12:41 (b) 11:41 (c) 11:31 (d) 11:51
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 84 minutes? =
  13. 13.A clock shows 7:19. What time will it show 13 minutes later? (a) 7:42 (b) 7:32 (c) 7:22 (d) 8:32
  14. 14.A clock shows 11:39. What time will it show 33 minutes later? (a) 12:22 (b) 12:02 (c) 1:12 (d) 12:12
  15. 15.How many degrees does the minute hand of a clock turn in 51 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 40 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  20. 20.A clock shows 12:24. What time will it show 70 minutes later? (a) 1:44 (b) 1:24 (c) 2:34 (d) 1:34
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 128 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  24. 24.A clock shows 3:06. What time will it show 48 minutes later? (a) 4:54 (b) 3:44 (c) 3:54 (d) 4:04
  25. 25.A clock shows 2:59. What time will it show 124 minutes later? (a) 6:03 (b) 4:53 (c) 5:03 (d) 5:13
  26. 26.A clock shows 5:24. What time will it show 126 minutes later? (a) 7:40 (b) 7:30 (c) 8:30 (d) 7:20
  27. 27.A clock shows 2:43. What time will it show 117 minutes later? (a) 4:30 (b) 4:50 (c) 4:40 (d) 5:40
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 54 minutes? =
  31. 31.A clock shows 12:52. What time will it show 21 minutes later? (a) 1:13 (b) 2:13 (c) 1:03 (d) 1:23
  32. 32.A clock shows 10:23. What time will it show 166 minutes later? (a) 1:09 (b) 1:19 (c) 2:09 (d) 12:59
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  34. 34.A clock shows 7:14. What time will it show 80 minutes later? (a) 8:44 (b) 8:24 (c) 8:34 (d) 9:34
  35. 35.A clock shows 6:20. What time will it show 121 minutes later? (a) 8:21 (b) 8:11 (c) 8:31 (d) 9:21
  36. 36.A clock shows 5:38. What time will it show 78 minutes later? (a) 7:06 (b) 6:56 (c) 7:56 (d) 6:46
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  38. 38.A clock shows 12:16. What time will it show 164 minutes later? (a) 4:00 (b) 3:00 (c) 2:50 (d) 3:10
  39. 39.How many degrees does the minute hand of a clock turn in 41 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =

Answer key

  1. 43.5
  2. 222
  3. 192
  4. 132
  5. 2
  6. 1:44
  7. 11:41
  8. 126.5
  9. 84
  10. 53.5
  11. 74.5
  12. 42
  13. 7:32
  14. 12:12
  15. 306
  16. 178
  17. 41
  18. 240
  19. 90
  20. 1:34
  21. 128
  22. 64
  23. 111
  24. 3:54
  25. 5:03
  26. 7:30
  27. 4:40
  28. 139
  29. 23
  30. 324
  31. 1:13
  32. 1:09
  33. 130
  34. 8:34
  35. 8:21
  36. 6:56
  37. 166.5
  38. 3:00
  39. 246
  40. 89

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