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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 870 · 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 3:44? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  3. 3.A clock shows 7:53. What time will it show 155 minutes later? (a) 10:38 (b) 10:28 (c) 11:28 (d) 10:18
  4. 4.How many degrees does the minute hand of a clock turn in 27 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  8. 8.A clock shows 9:29. What time will it show 126 minutes later? (a) 11:45 (b) 12:35 (c) 11:35 (d) 11:25
  9. 9.How many degrees does the hour hand of a clock turn in 15 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 12 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
  15. 15.A clock shows 9:20. What time will it show 134 minutes later? (a) 11:24 (b) 11:44 (c) 11:34 (d) 12:34
  16. 16.A clock shows 12:03. What time will it show 14 minutes later? (a) 1:17 (b) 12:17 (c) 12:07 (d) 12:27
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.A clock shows 2:09. What time will it show 91 minutes later? (a) 3:30 (b) 3:50 (c) 4:40 (d) 3:40
  22. 22.How many degrees does the minute hand of a clock turn in 6 minutes? =
  23. 23.A clock shows 7:18. What time will it show 53 minutes later? (a) 8:01 (b) 8:21 (c) 9:11 (d) 8:11
  24. 24.How many degrees does the minute hand of a clock turn in 15 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 172 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 34 minutes? =
  29. 29.A clock shows 2:12. What time will it show 143 minutes later? (a) 5:35 (b) 4:45 (c) 4:35 (d) 4:25
  30. 30.A clock shows 7:36. What time will it show 28 minutes later? (a) 7:54 (b) 8:14 (c) 8:04 (d) 9:04
  31. 31.A clock shows 2:15. What time will it show 150 minutes later? (a) 4:35 (b) 4:45 (c) 5:45 (d) 4:55
  32. 32.A clock shows 4:18. What time will it show 31 minutes later? (a) 5:49 (b) 4:49 (c) 4:59 (d) 4:39
  33. 33.How many degrees does the hour hand of a clock turn in 95 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  35. 35.A clock shows 9:32. What time will it show 54 minutes later? (a) 10:26 (b) 10:36 (c) 10:16 (d) 11:26
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 106 minutes? =
  38. 38.A clock shows 1:42. What time will it show 21 minutes later? (a) 3:03 (b) 2:13 (c) 2:03 (d) 1:53
  39. 39.A clock shows 9:50. What time will it show 97 minutes later? (a) 11:27 (b) 12:27 (c) 11:17 (d) 11:37
  40. 40.A clock shows 12:33. What time will it show 148 minutes later? (a) 3:01 (b) 4:01 (c) 3:11 (d) 2:51

Answer key

  1. 152
  2. 91
  3. 10:28
  4. 162
  5. 16.5
  6. 128.5
  7. 17.5
  8. 11:35
  9. 7.5
  10. 6
  11. 170.5
  12. 71
  13. 172.5
  14. 342
  15. 11:34
  16. 12:17
  17. 53.5
  18. 99.5
  19. 137
  20. 42
  21. 3:40
  22. 36
  23. 8:11
  24. 90
  25. 86
  26. 100
  27. 136
  28. 17
  29. 4:35
  30. 8:04
  31. 4:45
  32. 4:49
  33. 47.5
  34. 37
  35. 10:26
  36. 72
  37. 53
  38. 2:03
  39. 11:27
  40. 3:01

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