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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 270 · 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 6:40? (in degrees) =
  2. 2.A clock shows 2:09. What time will it show 56 minutes later? (a) 4:05 (b) 3:05 (c) 2:55 (d) 3:15
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  4. 4.A clock shows 3:18. What time will it show 31 minutes later? (a) 4:49 (b) 3:59 (c) 3:39 (d) 3:49
  5. 5.How many degrees does the hour hand of a clock turn in 128 minutes? =
  6. 6.A clock shows 10:27. What time will it show 44 minutes later? (a) 11:21 (b) 12:11 (c) 11:01 (d) 11:11
  7. 7.A clock shows 8:31. What time will it show 113 minutes later? (a) 11:24 (b) 10:34 (c) 10:14 (d) 10:24
  8. 8.A clock shows 4:01. What time will it show 86 minutes later? (a) 5:37 (b) 6:27 (c) 5:17 (d) 5:27
  9. 9.A clock shows 5:01. What time will it show 147 minutes later? (a) 7:18 (b) 8:28 (c) 7:38 (d) 7:28
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 40 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 42 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 30 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 130 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  19. 19.A clock shows 5:15. What time will it show 89 minutes later? (a) 7:44 (b) 6:54 (c) 6:34 (d) 6:44
  20. 20.A clock shows 6:17. What time will it show 98 minutes later? (a) 7:55 (b) 8:05 (c) 7:45 (d) 8:55
  21. 21.A clock shows 2:25. What time will it show 47 minutes later? (a) 4:12 (b) 3:02 (c) 3:12 (d) 3:22
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 21 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 40 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 80 minutes? =
  27. 27.A clock shows 5:11. What time will it show 103 minutes later? (a) 6:54 (b) 6:44 (c) 7:04 (d) 7:54
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  29. 29.A clock shows 12:24. What time will it show 38 minutes later? (a) 2:02 (b) 12:52 (c) 1:02 (d) 1:12
  30. 30.How many degrees does the minute hand of a clock turn in 24 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 56 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  33. 33.A clock shows 10:33. What time will it show 47 minutes later? (a) 11:30 (b) 11:20 (c) 12:20 (d) 11:10
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 7 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
  40. 40.A clock shows 9:22. What time will it show 103 minutes later? (a) 10:55 (b) 12:05 (c) 11:05 (d) 11:15

Answer key

  1. 40
  2. 3:05
  3. 77
  4. 3:49
  5. 64
  6. 11:11
  7. 10:24
  8. 5:27
  9. 7:28
  10. 81.5
  11. 153
  12. 20
  13. 21
  14. 180
  15. 8.5
  16. 65
  17. 101
  18. 11.5
  19. 6:44
  20. 7:55
  21. 3:12
  22. 104.5
  23. 10.5
  24. 240
  25. 122
  26. 40
  27. 6:54
  28. 101.5
  29. 1:02
  30. 144
  31. 28
  32. 97
  33. 11:20
  34. 112.5
  35. 166.5
  36. 126
  37. 42
  38. 29.5
  39. 161
  40. 11:05

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