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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 637 · 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 7:10. What time will it show 124 minutes later? (a) 10:14 (b) 9:04 (c) 9:24 (d) 9:14
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 29 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 44 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 48 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 76 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 59 minutes? =
  10. 10.A clock shows 12:40. What time will it show 101 minutes later? (a) 3:21 (b) 2:21 (c) 2:11 (d) 2:31
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 24 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 163 minutes? =
  15. 15.A clock shows 4:14. What time will it show 70 minutes later? (a) 5:24 (b) 5:14 (c) 5:34 (d) 6:24
  16. 16.How many degrees does the hour hand of a clock turn in 129 minutes? =
  17. 17.A clock shows 12:13. What time will it show 92 minutes later? (a) 1:35 (b) 2:45 (c) 1:45 (d) 1:55
  18. 18.How many degrees does the hour hand of a clock turn in 116 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  21. 21.A clock shows 9:33. What time will it show 157 minutes later? (a) 12:20 (b) 12:10 (c) 1:10 (d) 12:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  23. 23.A clock shows 11:39. What time will it show 81 minutes later? (a) 1:10 (b) 2:00 (c) 1:00 (d) 12:50
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  26. 26.A clock shows 5:56. What time will it show 46 minutes later? (a) 6:42 (b) 6:52 (c) 6:32 (d) 7:42
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  29. 29.A clock shows 8:37. What time will it show 65 minutes later? (a) 9:32 (b) 9:42 (c) 9:52 (d) 10:42
  30. 30.How many degrees does the minute hand of a clock turn in 30 minutes? =
  31. 31.A clock shows 1:21. What time will it show 136 minutes later? (a) 4:37 (b) 3:37 (c) 3:47 (d) 3:27
  32. 32.How many degrees does the hour hand of a clock turn in 38 minutes? =
  33. 33.A clock shows 12:37. What time will it show 98 minutes later? (a) 2:05 (b) 2:25 (c) 3:15 (d) 2:15
  34. 34.A clock shows 1:22. What time will it show 36 minutes later? (a) 2:08 (b) 2:58 (c) 1:48 (d) 1:58
  35. 35.A clock shows 12:46. What time will it show 22 minutes later? (a) 1:18 (b) 1:08 (c) 12:58 (d) 2:08
  36. 36.How many degrees does the minute hand of a clock turn in 39 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  38. 38.A clock shows 4:36. What time will it show 164 minutes later? (a) 7:10 (b) 8:20 (c) 7:20 (d) 7:30
  39. 39.A clock shows 7:15. What time will it show 145 minutes later? (a) 9:30 (b) 9:50 (c) 9:40 (d) 10:40
  40. 40.A clock shows 6:08. What time will it show 139 minutes later? (a) 8:27 (b) 9:27 (c) 8:17 (d) 8:37

Answer key

  1. 9:14
  2. 136.5
  3. 174
  4. 22
  5. 130
  6. 44
  7. 24
  8. 38
  9. 354
  10. 2:21
  11. 180
  12. 142
  13. 144
  14. 81.5
  15. 5:24
  16. 64.5
  17. 1:45
  18. 58
  19. 49
  20. 103.5
  21. 12:10
  22. 2.5
  23. 1:00
  24. 106.5
  25. 167
  26. 6:42
  27. 94
  28. 48
  29. 9:42
  30. 180
  31. 3:37
  32. 19
  33. 2:15
  34. 1:58
  35. 1:08
  36. 234
  37. 84
  38. 7:20
  39. 9:40
  40. 8:27

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