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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 474 · 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 12:08? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 98 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  4. 4.A clock shows 7:56. What time will it show 150 minutes later? (a) 10:16 (b) 11:26 (c) 10:36 (d) 10:26
  5. 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
  6. 6.A clock shows 1:21. What time will it show 144 minutes later? (a) 3:55 (b) 3:45 (c) 3:35 (d) 4:45
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 30 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 48 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 50 minutes? =
  11. 11.A clock shows 8:38. What time will it show 93 minutes later? (a) 10:11 (b) 11:11 (c) 10:01 (d) 10:21
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  13. 13.A clock shows 4:05. What time will it show 29 minutes later? (a) 4:34 (b) 4:44 (c) 5:34 (d) 4:24
  14. 14.How many degrees does the hour hand of a clock turn in 101 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
  17. 17.A clock shows 3:20. What time will it show 30 minutes later? (a) 4:00 (b) 3:50 (c) 4:50 (d) 3:40
  18. 18.A clock shows 7:56. What time will it show 88 minutes later? (a) 9:24 (b) 10:24 (c) 9:34 (d) 9:14
  19. 19.A clock shows 5:58. What time will it show 139 minutes later? (a) 8:27 (b) 8:17 (c) 8:07 (d) 9:17
  20. 20.How many degrees does the minute hand of a clock turn in 37 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  22. 22.A clock shows 4:15. What time will it show 44 minutes later? (a) 5:59 (b) 5:09 (c) 4:59 (d) 4:49
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  24. 24.A clock shows 7:34. What time will it show 27 minutes later? (a) 7:51 (b) 8:11 (c) 8:01 (d) 9:01
  25. 25.How many degrees does the hour hand of a clock turn in 171 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 55 minutes? =
  27. 27.A clock shows 4:15. What time will it show 67 minutes later? (a) 5:12 (b) 6:22 (c) 5:32 (d) 5:22
  28. 28.A clock shows 11:22. What time will it show 11 minutes later? (a) 11:43 (b) 11:33 (c) 12:33 (d) 11:23
  29. 29.A clock shows 3:14. What time will it show 48 minutes later? (a) 4:12 (b) 3:52 (c) 5:02 (d) 4:02
  30. 30.A clock shows 9:44. What time will it show 32 minutes later? (a) 10:06 (b) 10:26 (c) 11:16 (d) 10:16
  31. 31.A clock shows 7:10. What time will it show 154 minutes later? (a) 9:34 (b) 9:44 (c) 10:44 (d) 9:54
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 13 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 116 minutes? =
  35. 35.A clock shows 11:44. What time will it show 148 minutes later? (a) 2:02 (b) 2:12 (c) 2:22 (d) 3:12
  36. 36.A clock shows 1:29. What time will it show 110 minutes later? (a) 4:19 (b) 3:29 (c) 3:09 (d) 3:19
  37. 37.A clock shows 6:32. What time will it show 148 minutes later? (a) 9:00 (b) 8:50 (c) 10:00 (d) 9:10
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  39. 39.A clock shows 8:18. What time will it show 10 minutes later? (a) 9:28 (b) 8:18 (c) 8:38 (d) 8:28
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =

Answer key

  1. 44
  2. 49
  3. 179
  4. 10:26
  5. 42
  6. 3:45
  7. 144
  8. 180
  9. 288
  10. 300
  11. 10:11
  12. 128.5
  13. 4:34
  14. 50.5
  15. 148
  16. 270
  17. 3:50
  18. 9:24
  19. 8:17
  20. 222
  21. 0
  22. 4:59
  23. 105.5
  24. 8:01
  25. 85.5
  26. 330
  27. 5:22
  28. 11:33
  29. 4:02
  30. 10:16
  31. 9:44
  32. 148
  33. 78
  34. 58
  35. 2:12
  36. 3:19
  37. 9:00
  38. 90
  39. 8:28
  40. 54

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