JI Matching Questions

NOTE: Some of these questions are more for junior and others more for intermediate.

  1. Represent in a lot of different ways. Which of those ways help you see that is the same as 80%? Which don’t?
  1. Evan and Leo have the same number of computer games. Evan has organized his into 20 equal piles. Leo has also organized his into piles, but he has 5 piles. Do you know anything, for sure, about Leo’s piles? Explain.
  1. Ian created a scale drawing of a house. The house is really 7 m high; it is only 30 cm high on the scale drawing. If the house is really 13 m wide, can you be sure how wide it would be on the scale drawing? Explain.
  1. How is determining of 12 like determining of 27? How is it different?
  2. Why does it make sense that 2 ÷ = 2 x 3?
  3. You know that a fraction is greater than but less than . What else do you know about it?
  4. How does what you know about subtraction tell you why – is greater than without calculating the answer?
  5. You know that a relationship is created by doubling values and then adding 5 (e.g. 11 becomes 22 + 5 = 27). What other relationship would have virtually the same effect if the original numbers are really big?
  6. Jessica said that since is less than and is more. But how did she know that?
  7. You want to figure out how many 8s are in 120. What are some different ways you could do that?
  8. One fraction has a numerator and denominator that are 3 apart. Another has a numerator and denominator that are 10 apart. Do you know which one is greater or not? Justify.
  9. A number is just a tiny bit less than halfway between 1 and 2. What could it be?

Math Camppp 2010