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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 455 · 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 1:17. What time will it show 26 minutes later? (a) 1:33 (b) 2:43 (c) 1:43 (d) 1:53
  2. 2.A clock shows 2:27. What time will it show 47 minutes later? (a) 4:14 (b) 3:04 (c) 3:24 (d) 3:14
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  4. 4.A clock shows 2:25. What time will it show 16 minutes later? (a) 3:41 (b) 2:41 (c) 2:31 (d) 2:51
  5. 5.A clock shows 11:22. What time will it show 20 minutes later? (a) 11:52 (b) 11:42 (c) 11:32 (d) 12:42
  6. 6.How many degrees does the hour hand of a clock turn in 119 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 55 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 43 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 117 minutes? =
  15. 15.A clock shows 12:33. What time will it show 99 minutes later? (a) 3:12 (b) 2:12 (c) 2:02 (d) 2:22
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  18. 18.A clock shows 8:04. What time will it show 104 minutes later? (a) 10:48 (b) 9:58 (c) 9:38 (d) 9:48
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  21. 21.A clock shows 10:39. What time will it show 106 minutes later? (a) 12:35 (b) 12:15 (c) 1:25 (d) 12:25
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  24. 24.A clock shows 10:36. What time will it show 53 minutes later? (a) 12:29 (b) 11:29 (c) 11:39 (d) 11:19
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 54 minutes? =
  27. 27.A clock shows 11:05. What time will it show 19 minutes later? (a) 11:34 (b) 11:24 (c) 12:24 (d) 11:14
  28. 28.A clock shows 3:13. What time will it show 134 minutes later? (a) 5:37 (b) 5:17 (c) 5:27 (d) 6:27
  29. 29.How many degrees does the hour hand of a clock turn in 18 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 147 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 52 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  33. 33.A clock shows 11:18. What time will it show 64 minutes later? (a) 12:22 (b) 12:12 (c) 1:22 (d) 12:32
  34. 34.A clock shows 4:30. What time will it show 170 minutes later? (a) 7:30 (b) 7:10 (c) 7:20 (d) 8:20
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  38. 38.A clock shows 3:00. What time will it show 99 minutes later? (a) 4:29 (b) 4:49 (c) 4:39 (d) 5:39
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  40. 40.A clock shows 7:43. What time will it show 28 minutes later? (a) 9:11 (b) 8:11 (c) 8:01 (d) 8:21

Answer key

  1. 1:43
  2. 3:14
  3. 145.5
  4. 2:41
  5. 11:42
  6. 59.5
  7. 53.5
  8. 48
  9. 330
  10. 258
  11. 159
  12. 73.5
  13. 24
  14. 58.5
  15. 2:12
  16. 13
  17. 30.5
  18. 9:48
  19. 94
  20. 126
  21. 12:25
  22. 117
  23. 144.5
  24. 11:29
  25. 161.5
  26. 324
  27. 11:24
  28. 5:27
  29. 9
  30. 73.5
  31. 26
  32. 63.5
  33. 12:22
  34. 7:20
  35. 177.5
  36. 5.5
  37. 69.5
  38. 4:39
  39. 151.5
  40. 8:11

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