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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 765 · 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 1:19. What time will it show 145 minutes later? (a) 3:34 (b) 3:54 (c) 3:44 (d) 4:44
  2. 2.How many degrees does the minute hand of a clock turn in 24 minutes? =
  3. 3.A clock shows 7:52. What time will it show 154 minutes later? (a) 10:26 (b) 11:26 (c) 10:16 (d) 10:36
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 110 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 27 minutes? =
  7. 7.A clock shows 3:17. What time will it show 95 minutes later? (a) 4:42 (b) 5:52 (c) 5:02 (d) 4:52
  8. 8.A clock shows 2:46. What time will it show 157 minutes later? (a) 5:33 (b) 6:23 (c) 5:13 (d) 5:23
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 134 minutes? =
  11. 11.A clock shows 10:44. What time will it show 91 minutes later? (a) 1:15 (b) 12:25 (c) 12:05 (d) 12:15
  12. 12.A clock shows 4:47. What time will it show 115 minutes later? (a) 6:32 (b) 6:52 (c) 6:42 (d) 7:42
  13. 13.How many degrees does the hour hand of a clock turn in 62 minutes? =
  14. 14.A clock shows 1:42. What time will it show 97 minutes later? (a) 4:19 (b) 3:09 (c) 3:19 (d) 3:29
  15. 15.A clock shows 3:30. What time will it show 12 minutes later? (a) 3:52 (b) 3:42 (c) 3:32 (d) 4:42
  16. 16.How many degrees does the hour hand of a clock turn in 43 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  18. 18.A clock shows 3:33. What time will it show 14 minutes later? (a) 3:37 (b) 3:57 (c) 4:47 (d) 3:47
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 16 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 97 minutes? =
  29. 29.A clock shows 2:32. What time will it show 29 minutes later? (a) 2:51 (b) 3:11 (c) 4:01 (d) 3:01
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  32. 32.A clock shows 5:52. What time will it show 122 minutes later? (a) 7:54 (b) 7:44 (c) 8:54 (d) 8:04
  33. 33.A clock shows 3:26. What time will it show 105 minutes later? (a) 5:21 (b) 6:11 (c) 5:11 (d) 5:01
  34. 34.A clock shows 6:01. What time will it show 56 minutes later? (a) 7:07 (b) 6:47 (c) 6:57 (d) 7:57
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  36. 36.A clock shows 6:26. What time will it show 118 minutes later? (a) 8:14 (b) 8:34 (c) 8:24 (d) 9:24
  37. 37.How many degrees does the hour hand of a clock turn in 85 minutes? =
  38. 38.A clock shows 1:33. What time will it show 127 minutes later? (a) 3:50 (b) 3:40 (c) 4:40 (d) 3:30
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =

Answer key

  1. 3:44
  2. 144
  3. 10:26
  4. 133
  5. 55
  6. 13.5
  7. 4:52
  8. 5:23
  9. 46
  10. 67
  11. 12:15
  12. 6:42
  13. 31
  14. 3:19
  15. 3:42
  16. 21.5
  17. 116
  18. 3:47
  19. 67
  20. 143
  21. 117.5
  22. 79
  23. 138
  24. 134.5
  25. 132
  26. 96
  27. 118.5
  28. 48.5
  29. 3:01
  30. 102
  31. 172
  32. 7:54
  33. 5:11
  34. 6:57
  35. 155
  36. 8:24
  37. 42.5
  38. 3:40
  39. 31
  40. 32

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