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The Lumenary

Practice · Grades 3–5

One thing after another

One thing after another

Warm-upHuman

Start with 4. Add 5, then double the result. What do you get?

One thing after another

Warm-upHuman

Start with 4 again. This time double first, then add 5. What do you get?

One thing after another

CoreHuman

For which pairs of actions does the order not matter? Choose all of them.

Choose all that apply

One thing after another

CoreHuman

Kiri puts on her socks, then her shoes, then ties her laces. How does she undo the whole chain?

Choose one

One thing after another

CoreHuman

Wanjiru thought of a number. She multiplied it by 3 and then added 3, and got 27. What was her number?

One thing after another

CoreHuman

A spinner arrow can only turn clockwise, a quarter turn at a time. It has just been turned one quarter turn. How many more quarter turns bring it back to where it started?

One thing after another

StretchHuman

Musa turns a card 7 quarter turns clockwise, one after another. What is the smallest number of clockwise quarter turns that would leave the card in the same position?

One thing after another

StretchHuman

In the lesson's arrow picture, straight arrows mean add 1 and curved arrows mean double. What is the smallest number of arrows in a path from 1 to 7?

One thing after another

StretchHuman

Is there any starting number for which "add 5, then double" gives the same answer as "double, then add 5"?

Choose one

One thing after another

StretchFormal

In Lean, andThen f g means "do f, then do g", and Undoes u f means "u undoes f". Suppose uf undoes f and ug undoes g. Which statement is the socks-and-shoes rule?

Choose one