Grades 4 to 8 Sample Questions

Grades 4 – 8 Samples Day 2
Which of these do you think are good lesson consolidating questions?
Be ready to discuss your choices and what big ideas you think your good choices
bring out.
Grade 4:
Expectation: Compare and order fractions to the benchmarks of 0, ½ and 1
Question: Put these fractions in order from least to greatest:
2 1 2
,
, ,
3 10 3
5
1
and .
6
4
1
. If I told you the denominator,
3
how would you figure out the numerator? If I told you the numerator, how
would you figure out the denominator?
Question: A fraction is pretty close to
Question: How do you know that
4
1
is closer to
than to 0?
10
2
Grade 5:
Expectation: Demonstrate an understanding of simple multiplicative
relationships involving whole-number rates, through investigation using concrete
materials and drawings.
Question: If two books cost $6, how much would eight books cost? How
do you know?
Question: If you know that three books cost $5, what other numbers of
books would be easier for you to figure out the price of? What numbers
would be harder for you? Why?
Question: Liisa has over 100 nickels. She is going to trade them all for
quarters. What do you know about how many quarters she will have? How
do you know that?
Math Camppp 2010
Grade 6:
Expectation: Represent ratios found in real-life contexts using concrete
materials, drawings, and standard fractional notation
Question: In the video game club, there are 8 boys and 2 girls. What
fraction of the students in the club are girls?
Question: In a classroom, there are 8 boys and 12 girls. Represent the
ratio 8:12 two different ways. Which way makes it easier to see that more
than half the class are girls?
Question: A package has 8 red balloons and 2 blue ones. Represent the
ratio 8:2 using red and blue counters.
Grade 7:
Expectation: Solve problems that involve determining whole number percents,
using a variety of tools
Question: Bag A has 20 marbles; 5 of them are blue. Bag B has 25
marbles; 6 of them are blue. Would it be useful to figure out the percent of
blue in each bag to decide whether you are more likely to pick blue from
Bag A or Bag B? Explain.
Question: If there are 5 blue marbles in a bag of 20 marbles, what
percent of the marbles are not blue?
Question: If there are 5 blue marbles in a bag of 28 marbles, is the
percent of blue marbles more or less than 20%? How do you know?
Grade 8:
Expectation: Solve problems involving rates
Question: A pack of 24 CDs costs $7.99. A pack of 50 CDs costs $10.45.
What is the best way to buy 130 CDs?
Question: A store has a sign that says “6 CDs for $1.98.” What other
signs could they put up that really give the same information? Which of
those signs do you think is most useful? Why?
Question: Which is a better buy—24 CDs for $7.99 or 15 CDs for $5.19?
Math Camppp 2010