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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 302 · 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 1:20. What time will it show 56 minutes later? (a) 2:26 (b) 3:16 (c) 2:16 (d) 2:06
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  3. 3.A clock shows 3:36. What time will it show 38 minutes later? (a) 4:24 (b) 4:04 (c) 4:14 (d) 5:14
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 19 minutes? =
  6. 6.A clock shows 1:27. What time will it show 100 minutes later? (a) 4:07 (b) 2:57 (c) 3:17 (d) 3:07
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  8. 8.A clock shows 3:14. What time will it show 127 minutes later? (a) 5:21 (b) 5:11 (c) 6:21 (d) 5:31
  9. 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 30 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  15. 15.A clock shows 2:37. What time will it show 32 minutes later? (a) 4:09 (b) 3:19 (c) 3:09 (d) 2:59
  16. 16.How many degrees does the minute hand of a clock turn in 6 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
  18. 18.A clock shows 8:17. What time will it show 36 minutes later? (a) 9:53 (b) 8:43 (c) 8:53 (d) 9:03
  19. 19.A clock shows 8:41. What time will it show 32 minutes later? (a) 9:03 (b) 9:13 (c) 9:23 (d) 10:13
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 58 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 25 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 110 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 104 minutes? =
  29. 29.A clock shows 4:38. What time will it show 96 minutes later? (a) 6:24 (b) 7:14 (c) 6:04 (d) 6:14
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 18 minutes? =
  32. 32.A clock shows 3:58. What time will it show 45 minutes later? (a) 5:43 (b) 4:33 (c) 4:43 (d) 4:53
  33. 33.A clock shows 3:09. What time will it show 37 minutes later? (a) 4:46 (b) 3:36 (c) 3:46 (d) 3:56
  34. 34.A clock shows 2:06. What time will it show 69 minutes later? (a) 3:15 (b) 3:05 (c) 3:25 (d) 4:15
  35. 35.How many degrees does the minute hand of a clock turn in 29 minutes? =
  36. 36.A clock shows 5:17. What time will it show 144 minutes later? (a) 8:41 (b) 7:51 (c) 7:41 (d) 7:31
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  38. 38.A clock shows 7:29. What time will it show 132 minutes later? (a) 9:51 (b) 10:41 (c) 9:31 (d) 9:41
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =

Answer key

  1. 2:16
  2. 70
  3. 4:14
  4. 156
  5. 114
  6. 3:07
  7. 177.5
  8. 5:21
  9. 48
  10. 180
  11. 90
  12. 97.5
  13. 158
  14. 95.5
  15. 3:09
  16. 36
  17. 204
  18. 8:53
  19. 9:13
  20. 5.5
  21. 348
  22. 150
  23. 157
  24. 34
  25. 67
  26. 55
  27. 32.5
  28. 52
  29. 6:14
  30. 35
  31. 108
  32. 4:43
  33. 3:46
  34. 3:15
  35. 174
  36. 7:41
  37. 59
  38. 9:41
  39. 41
  40. 36.5

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