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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 890 · 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 10:50? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.A clock shows 8:58. What time will it show 164 minutes later? (a) 12:42 (b) 11:32 (c) 11:42 (d) 11:52
  4. 4.A clock shows 11:07. What time will it show 29 minutes later? (a) 11:46 (b) 12:36 (c) 11:36 (d) 11:26
  5. 5.A clock shows 4:11. What time will it show 170 minutes later? (a) 8:01 (b) 7:11 (c) 7:01 (d) 6:51
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 51 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 26 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 10 minutes? =
  12. 12.A clock shows 7:30. What time will it show 83 minutes later? (a) 8:43 (b) 9:53 (c) 9:03 (d) 8:53
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 48 minutes? =
  16. 16.A clock shows 4:01. What time will it show 142 minutes later? (a) 7:23 (b) 6:33 (c) 6:13 (d) 6:23
  17. 17.A clock shows 12:06. What time will it show 90 minutes later? (a) 1:46 (b) 1:36 (c) 1:26 (d) 2:36
  18. 18.How many degrees does the minute hand of a clock turn in 43 minutes? =
  19. 19.A clock shows 5:39. What time will it show 50 minutes later? (a) 6:19 (b) 6:39 (c) 7:29 (d) 6:29
  20. 20.How many degrees does the hour hand of a clock turn in 25 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  22. 22.A clock shows 11:55. What time will it show 110 minutes later? (a) 1:45 (b) 2:45 (c) 1:35 (d) 1:55
  23. 23.A clock shows 9:14. What time will it show 84 minutes later? (a) 10:38 (b) 11:38 (c) 10:48 (d) 10:28
  24. 24.A clock shows 8:31. What time will it show 131 minutes later? (a) 10:32 (b) 11:42 (c) 10:42 (d) 10:52
  25. 25.A clock shows 5:04. What time will it show 77 minutes later? (a) 6:31 (b) 6:21 (c) 7:21 (d) 6:11
  26. 26.A clock shows 3:24. What time will it show 56 minutes later? (a) 5:20 (b) 4:30 (c) 4:10 (d) 4:20
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  28. 28.A clock shows 5:14. What time will it show 62 minutes later? (a) 7:16 (b) 6:06 (c) 6:16 (d) 6:26
  29. 29.A clock shows 8:37. What time will it show 109 minutes later? (a) 11:26 (b) 10:36 (c) 10:26 (d) 10:16
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  31. 31.A clock shows 8:43. What time will it show 63 minutes later? (a) 9:36 (b) 10:46 (c) 9:56 (d) 9:46
  32. 32.How many degrees does the minute hand of a clock turn in 37 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 117 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 168 minutes? =
  35. 35.A clock shows 11:20. What time will it show 148 minutes later? (a) 1:48 (b) 1:38 (c) 1:58 (d) 2:48
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  39. 39.A clock shows 12:39. What time will it show 169 minutes later? (a) 4:28 (b) 3:38 (c) 3:28 (d) 3:18
  40. 40.How many degrees does the hour hand of a clock turn in 145 minutes? =

Answer key

  1. 25
  2. 42
  3. 11:42
  4. 11:36
  5. 7:01
  6. 50
  7. 25.5
  8. 75
  9. 18
  10. 156
  11. 60
  12. 8:53
  13. 80
  14. 14
  15. 24
  16. 6:23
  17. 1:36
  18. 258
  19. 6:29
  20. 12.5
  21. 6
  22. 1:45
  23. 10:38
  24. 10:42
  25. 6:21
  26. 4:20
  27. 153
  28. 6:16
  29. 10:26
  30. 128
  31. 9:46
  32. 222
  33. 58.5
  34. 84
  35. 1:48
  36. 179
  37. 131.5
  38. 19.5
  39. 3:28
  40. 72.5

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