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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 963 · 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 1:27? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
  3. 3.A clock shows 12:26. What time will it show 58 minutes later? (a) 1:34 (b) 1:24 (c) 1:14 (d) 2:24
  4. 4.A clock shows 7:14. What time will it show 37 minutes later? (a) 8:01 (b) 8:51 (c) 7:51 (d) 7:41
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  7. 7.A clock shows 6:53. What time will it show 89 minutes later? (a) 8:12 (b) 9:22 (c) 8:32 (d) 8:22
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  9. 9.A clock shows 5:53. What time will it show 106 minutes later? (a) 8:39 (b) 7:29 (c) 7:39 (d) 7:49
  10. 10.How many degrees does the hour hand of a clock turn in 47 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 47 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 24 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  15. 15.A clock shows 4:25. What time will it show 21 minutes later? (a) 4:36 (b) 5:46 (c) 4:46 (d) 4:56
  16. 16.How many degrees does the minute hand of a clock turn in 44 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 48 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 20 minutes? =
  23. 23.A clock shows 6:30. What time will it show 168 minutes later? (a) 9:28 (b) 9:08 (c) 10:18 (d) 9:18
  24. 24.How many degrees does the hour hand of a clock turn in 149 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 2 minutes? =
  27. 27.A clock shows 3:19. What time will it show 52 minutes later? (a) 4:01 (b) 5:11 (c) 4:21 (d) 4:11
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 14 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 26 minutes? =
  32. 32.A clock shows 1:40. What time will it show 148 minutes later? (a) 5:08 (b) 4:18 (c) 3:58 (d) 4:08
  33. 33.A clock shows 12:18. What time will it show 169 minutes later? (a) 3:07 (b) 3:17 (c) 4:07 (d) 2:57
  34. 34.How many degrees does the hour hand of a clock turn in 27 minutes? =
  35. 35.A clock shows 7:19. What time will it show 58 minutes later? (a) 9:17 (b) 8:27 (c) 8:17 (d) 8:07
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  37. 37.A clock shows 8:16. What time will it show 128 minutes later? (a) 10:14 (b) 11:24 (c) 10:24 (d) 10:34
  38. 38.A clock shows 1:15. What time will it show 59 minutes later? (a) 2:24 (b) 3:14 (c) 2:04 (d) 2:14
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 32 minutes? =

Answer key

  1. 118.5
  2. 312
  3. 1:24
  4. 7:51
  5. 172.5
  6. 139.5
  7. 8:22
  8. 158
  9. 7:39
  10. 23.5
  11. 282
  12. 125
  13. 12
  14. 151.5
  15. 4:46
  16. 264
  17. 100
  18. 119
  19. 116
  20. 28
  21. 288
  22. 120
  23. 9:18
  24. 74.5
  25. 164.5
  26. 12
  27. 4:11
  28. 143.5
  29. 84
  30. 47
  31. 13
  32. 4:08
  33. 3:07
  34. 13.5
  35. 8:17
  36. 59
  37. 10:24
  38. 2:14
  39. 141
  40. 192

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