Mike Jacobs

@mikejacobs

Math teacher in Ontario/Mountaineer/Munroist/Exiled Yorkshireman/Dad to two great kids. Creator of Yohaku Puzzle Author of Onwards and Upwards. . #RunEveryDay

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Mike Jacobs@mikejacobs· 4h

Start your day with this #yohaku. Fill in cells with 9 different factors of 330 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 330 in a 3 by 3 grid. The numbers in the top row add to 72. The numbers in the middle row add to 220. The numbers in the bottom row add to 63. The numbers in the left column add to 25. The numbers in the middle column add to 44. The numbers in the right column add to 286.

Mike Jacobs@mikejacobs· 1d

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 44. The numbers in the middle row multiply to 130. The numbers in the bottom row multiply to 189. The numbers in the left column multiply to 154. The numbers in the middle column multiply to 117. The numbers in the right column multiply to 60.

Mike Jacobs@mikejacobs· 2d

Start your day with this #yohaku. Fill in cells with 9 different factors of 140 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 140 in a 3 by 3 grid. The numbers in the top row add to 41. The numbers in the middle row add to 37. The numbers in the bottom row add to 151. The numbers in the left column add to 152. The numbers in the middle column add to 34. The numbers in the right column add to 43.

Mike Jacobs@mikejacobs· 2d

Spotted this beautiful tiger swallowtail today!

A tiger swallowtail butterfly on a peewee hydrangea. The butterfly is yellow with black stripes with some small blue dots near its tail. The hydrangea flowers are small white petals occasionally tinged with pink.

Mike Jacobs@mikejacobs· 20d

Spotted this beautiful black swallowtail butterfly on my run today.

A black swallowtail butterfly on some Queen Anne Lace. The butterfly is mainly black with two rows of small yellow dots near the base of its wings. Additionally, between these two rows there are some light blue markings near the centre of the butterfly.

Mike Jacobs@mikejacobs· 26d

Spotted this red admiral on the lavender today.

A red admiral butterfly (mainly black with two red diagonal stripes and some white blotches near the wing tips) sat on a patch of lavender.

Mike Jacobs@mikejacobs· 28d

Last Thursday, I ran/walked the Edale Skyline in the beautiful Peak District. Today I saw it from above flying back to Canada! The first photo is me on Win Hill. In the second photo this is near the reservoirs near the top right.

A man in white t-shirt and beige shorts by a white trig point on top of a hill looking towards another group of hills on a sunny day.

A group of green and brown hills and some reservoirs seen from a plane flying at 10 000 feet.

Mike Jacobs@mikejacobs· Jul 7

This beautiful marbled white landed on my sweaty sock at the end of my run today!

A marbled white butterfly (white wings with light grey markings) sat on a white sock.

Mike Jacobs@mikejacobs· Jul 2

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -3. #mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 52. The numbers in the middle row multiply to 105. The numbers in the bottom row multiply to 66. The numbers in the left column multiply to -78. The numbers in the middle column multiply to -14. The numbers in the right column multiply to 330. The sum of the integers in the 2 by 2 square at the top left of the grid is -3.

Mike Jacobs@mikejacobs· Jul 1

Start your day with this #yohaku. Fill in cells with 9 different factors of 828 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 828 in a 3 by 3 grid. The numbers in the top row add to 63. The numbers in the middle row add to 19. The numbers in the bottom row add to 234. The numbers in the left column add to 228. The numbers in the middle column add to 60. The numbers in the right column add to 28.

Mike Jacobs@mikejacobs· Jun 30

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 54. The numbers in the middle row multiply to 30. The numbers in the bottom row multiply to 616. The numbers in the left column multiply to 84. The numbers in the middle column multiply to 297. The numbers in the right column multiply to 40.

Mike Jacobs@mikejacobs· Jun 29

Start your week with this #yohaku. Fill in cells with 9 different factors of 276 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 276 in a 3 by 3 grid. The numbers in the top row add to 41. The numbers in the middle row add to 97. The numbers in the bottom row add to 143. The numbers in the left column add to 145. The numbers in the middle column add to 117. The numbers in the right column add to 19.

Mike Jacobs@mikejacobs· Jun 29

A beautiful great spangled fritillary butterfly spotted on a walk earlier today along with a snapping turtle!

A great spangled fritillary butterfly on the purple flower of a clover. The butterfly is orange with irregular black markings

A snapping turtle swimming near the surface of a pond, its right front leg is reaching outwards showing its claws.

Mike Jacobs@mikejacobs· Jun 26

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 980 to get totals shown in each row/column AND shaded cells contain square numbers. #mathsky #iTeachMath

Use 16 different factors of 980 in a 4 by 4 grid. The numbers in the top row add to 28. The numbers in the second row add to 215. The numbers in the third row add to 588. The numbers in the bottom row add to 93. The numbers in the left column add to 327. The numbers in the second column add to 249. The numbers in the third column add to 85. The numbers in the right column add to 263. The central four cells contain square numbers.

Mike Jacobs@mikejacobs· Jun 25

Lovely views on my run this evening of a heron taking flight.

A great blue heron standing by the muddy edge of a pond.

A great blue heron beginning to take flight by jumping up from the muddy edge of a pond.

A great blue heron flying low over a pond, its reflection in the ripples below.

Mike Jacobs@mikejacobs· Jun 25

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is 0. #mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -85. The numbers in the middle row multiply to 78. The numbers in the bottom row multiply to 132. The numbers in the left column multiply to 52. The numbers in the middle column multiply to 153. The numbers in the right column multiply to -110. The sum of the integers in the 2 by 2 square at the top left of the grid is 0.

Mike Jacobs@mikejacobs· Jun 24

Start your day with this #yohaku. Fill in cells with 9 different factors of 680 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 680 in a 3 by 3 grid. The numbers in the top row add to 65. The numbers in the middle row add to 206. The numbers in the bottom row add to 154. The numbers in the left column add to 95. The numbers in the middle column add to 188. The numbers in the right column add to 142.

Mike Jacobs@mikejacobs· Jun 23

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 81. The numbers in the middle row multiply to 130. The numbers in the bottom row multiply to 308. The numbers in the left column multiply to 216. The numbers in the middle column multiply to 105. The numbers in the right column multiply to 143.

Mike Jacobs@mikejacobs· Jun 22

Start your week with this #yohaku. Fill in cells with 9 different factors of 330 to get totals shown in each row/column.

Use 9 different factors of 330 in a 3 by 3 grid. The numbers in the top row add to 23. The numbers in the middle row add to 50. The numbers in the bottom row add to 142. The numbers in the left column add to 23. The numbers in the middle column add to 46. The numbers in the right column add to 146.

Mike Jacobs@mikejacobs· Jun 19

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 504 to get totals shown in each row/column AND shaded cells contain triangle numbers.

Use 16 different factors of 504 in a 4 by 4 grid. The numbers in the top row add to 10. The numbers in the second row add to 60. The numbers in the third row add to 84. The numbers in the bottom row add to 150. The numbers in the left column add to 29. The numbers in the second column add to 93. The numbers in the third column add to 140. The numbers in the right column add to 42. The central four cells contain triangle numbers.

Mike Jacobs@mikejacobs· Jun 18

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is 8. #mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 112. The numbers in the middle row multiply to 130. The numbers in the bottom row multiply to 132. The numbers in the left column multiply to 160. The numbers in the middle column multiply to -286. The numbers in the right column multiply to -42. The sum of the integers in the 2 by 2 square at the top left of the grid is 8.

Mike Jacobs@mikejacobs· Jun 17

Start your day with this #yohaku. Fill in cells with 9 different factors of 390 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 390 in a 3 by 3 grid. The numbers in the top row add to 29. The numbers in the middle row add to 223. The numbers in the bottom row add to 18. The numbers in the left column add to 13. The numbers in the middle column add to 211. The numbers in the right column add to 46.

Mike Jacobs@mikejacobs· Jun 16

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 125. The numbers in the middle row multiply to 308. The numbers in the bottom row multiply to 84. The numbers in the left column multiply to 60. The numbers in the middle column multiply to 550. The numbers in the right column multiply to 98.

Mike Jacobs@mikejacobs· Jun 15

Start your week with this #yohaku. Fill in cells with 9 different factors of 126 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 126 in a 3 by 3 grid. The numbers in the top row add to 150. The numbers in the middle row add to 39. The numbers in the bottom row add to 12. The numbers in the left column add to 12. The numbers in the middle column add to 48. The numbers in the right column add to 141.

Mike Jacobs@mikejacobs· Jun 14

Saw this small blue butterfly on my run yesterday.

A small blue butterfly on a yellow flower.

Mike Jacobs@mikejacobs· Jun 12

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 792 to get totals shown in each row/column AND shaded cells contain square numbers. #mathsky #iTeachMath

Use 16 different factors of 792 in a 4 by 4 grid. The numbers in the top row add to 137. The numbers in the second row add to 49. The numbers in the third row add to 76. The numbers in the bottom row add to 43. The numbers in the left column add to 23. The numbers in the second column add to 36. The numbers in the third column add to 134. The numbers in the right column add to 112. The central four cells contain square numbers.

Mike Jacobs@mikejacobs· Jun 11

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -6. #mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -92. The numbers in the middle row multiply to 126. The numbers in the bottom row multiply to 25. The numbers in the left column multiply to 140. The numbers in the middle column multiply to 138. The numbers in the right column multiply to -15. The sum of the integers in the 2 by 2 square at the top left of the grid is -6.

Mike Jacobs@mikejacobs· Jun 10

Start your day with this #yohaku. Fill in cells with 9 different factors of 264 to get totals shown in each row/column. #mathsky #iTeachMath

Use 9 different factors of 264 in a 3 by 3 grid. The numbers in the top row add to 43. The numbers in the middle row add to 162. The numbers in the bottom row add to 67. The numbers in the left column add to 177. The numbers in the middle column add to 43. The numbers in the right column add to 52.

Mike Jacobs@mikejacobs· Jun 9

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to . The numbers in the middle row multiply to . The numbers in the bottom row multiply to . The numbers in the left column multiply to . The numbers in the middle column multiply to . The numbers in the right column multiply to . The sum of the integers in the 2 by 2 square in the top left of the grid is .

Mike Jacobs@mikejacobs· Jun 8

Start your week with this #yohaku. Fill in cells with 9 different factors of 168 to get totals shown in each row/column. #mathsky #iTeachMath