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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 308 · 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.How many degrees does the hour hand of a clock turn in 162 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 91 minutes? =
  3. 3.A clock shows 10:11. What time will it show 23 minutes later? (a) 10:24 (b) 10:34 (c) 10:44 (d) 11:34
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  7. 7.A clock shows 3:29. What time will it show 154 minutes later? (a) 7:03 (b) 6:03 (c) 5:53 (d) 6:13
  8. 8.A clock shows 2:32. What time will it show 115 minutes later? (a) 4:37 (b) 5:27 (c) 4:27 (d) 4:17
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 13 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 21 minutes? =
  13. 13.A clock shows 7:52. What time will it show 166 minutes later? (a) 10:48 (b) 10:38 (c) 10:28 (d) 11:38
  14. 14.A clock shows 7:40. What time will it show 41 minutes later? (a) 8:11 (b) 8:21 (c) 9:21 (d) 8:31
  15. 15.How many degrees does the hour hand of a clock turn in 84 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 79 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 59 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
  19. 19.A clock shows 1:58. What time will it show 115 minutes later? (a) 3:53 (b) 4:53 (c) 3:43 (d) 4:03
  20. 20.A clock shows 11:23. What time will it show 38 minutes later? (a) 12:11 (b) 12:01 (c) 11:51 (d) 1:01
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  23. 23.A clock shows 9:50. What time will it show 94 minutes later? (a) 11:34 (b) 11:14 (c) 11:24 (d) 12:24
  24. 24.How many degrees does the hour hand of a clock turn in 44 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 63 minutes? =
  26. 26.A clock shows 12:58. What time will it show 30 minutes later? (a) 2:28 (b) 1:18 (c) 1:38 (d) 1:28
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 24 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  31. 31.A clock shows 3:13. What time will it show 142 minutes later? (a) 6:35 (b) 5:35 (c) 5:45 (d) 5:25
  32. 32.A clock shows 4:16. What time will it show 147 minutes later? (a) 7:43 (b) 6:33 (c) 6:53 (d) 6:43
  33. 33.How many degrees does the minute hand of a clock turn in 42 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 109 minutes? =
  35. 35.A clock shows 4:39. What time will it show 163 minutes later? (a) 7:22 (b) 7:12 (c) 8:22 (d) 7:32
  36. 36.How many degrees does the minute hand of a clock turn in 53 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 157 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  40. 40.A clock shows 10:16. What time will it show 47 minutes later? (a) 11:03 (b) 12:03 (c) 11:13 (d) 10:53

Answer key

  1. 81
  2. 45.5
  3. 10:34
  4. 40
  5. 65
  6. 32.5
  7. 6:03
  8. 4:27
  9. 29
  10. 165.5
  11. 78
  12. 10.5
  13. 10:38
  14. 8:21
  15. 42
  16. 39.5
  17. 354
  18. 48
  19. 3:53
  20. 12:01
  21. 153
  22. 60.5
  23. 11:24
  24. 22
  25. 31.5
  26. 1:28
  27. 57.5
  28. 162.5
  29. 12
  30. 52.5
  31. 5:35
  32. 6:43
  33. 252
  34. 54.5
  35. 7:22
  36. 318
  37. 166.5
  38. 78.5
  39. 178
  40. 11:03

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