Factors + Multiples
Mr. Lester wants to build a rectangle with an area of 20 square units using square tiles.
Can he build a rectangle with a width of 4 units? Explain or show your reasoning.
Yes, his length and width of the rectangle would be 4 units by 5 units (4 x 5 = 20)
Select all fractions that are equivalent to 3/12.
a. 1/4
b. 2/8
c. 5/24
d. 1/3
e. 6/24
a. 1/4
b. 2/8
e. 6/24
There are 93 students in the GOES cafeteria. There are 3 times as many students in the cafeteria as there are students on the playground.
a. Write a multiplication equation that represents the situation.
b. How many students are on the playground? Explain or show your reasoning.
a. 3 x ? = 93
b. 31 students
Select all true statements.
A. All rhombuses have a right angle.
B. All rectangles have a right angle.
C. Lines containing opposite sides of rectangles are parallel.
D. Some rhombuses have an obtuse angle.
E. Some rectangles have an obtuse angle.
b. All rectangles have a right angle
c. Lines containing opposite sides of rectangles are parallel
d. Some rhombuses have an obtuse angle
Select all expressions with the same value as 30/100
a. 3/10
b. 0.03
c. 2/10 + 3/100 + 7/10
d. 0.30
e. 2/10 + 10/100
f. 0.33
a. 3/10
d. 0.30
e. 2/10 + 10/100
Find all factor pairs of 84
1 and 84, 2 and 42, 3 and 28, 4 and 21, 6 and 14, 7 and 12
Select all fractions that are greater than 1/2 but less than 1.
a. 4/5
b. 1/3
c. 5/4
d. 4/7
e. 5/10
a. 4/5
d. 4/7
Here is the beginning of a list of multiples of 3:
3, 6, 9, 12, 15, 18, . . . .
Select all statements that are true about this list.
A. The terms in the list switch between even and odd.
B. The 10th term in the list is 30.
C. There are no multiples of 7 in the list.
D. The 100th term in the list is 300.
E. The next multiple of 5 in the list is 60.
a. The terms in the list switch between even and odd.
b. The 10th term in the list is 30.
d. The 100th term in the list is 300.
A circle is divided into 12 equal parts. What is the
measure in degrees of one part of the circle?
30o
Find the sum or difference
a. 324,567 + 34,762
b. 827,419 - 80,125
a. 359,329
b. 747,294
List the factor pairs of each number. Is each number prime or composite? Explain or show your reasoning.
a. 37
b. 27
c. 77
a. 1 and 37 = prime
b. 1 and 27, 3 and 9 = composite
c. 1 and 77, 11 and 7 = composite
Find the value of each expression.
a. 3 - 7/8
b. 5 x 3/8
c. 14/100 + 5/10 + 26/100
a. 2 1/8
b. 1 7/8
c. 90/100
Find the value of each product. Show or explain your reasoning.
a. 8 x 4,174
b. 35 x 74
a. 33,392
b. 2,590
True or False:
a. Six angles that are 15o each can be put together to make a right angle
b. Nine angles that are 10o each can be put together to make a straight angle
c. 2 angles that are 51o and 129o each can be put together to make supplementary angles.
a. true
b. false
c. true
Select all true statements.
A. 287,164 rounded to the nearest hundred-thousand is 200,000.
B. 287,164 rounded to the nearest ten-thousand is 290,000.
C. 287,164 rounded to the nearest thousand is 287,000.
D. 287,164 rounded to the nearest hundred is 287,100.
E. 287,164 rounded to the nearest ten is 287,170.
b. 287,164 rounded to the nearest ten-thousand is 290,000.
c. 287,164 rounded to the nearest thousand is 287,000.
Mr. Luchina is playing a card game with friends. The number of cards never changes, but the number of players does.
With 3 players, the cards can be divided equally between the players. Could there be 50 cards? Explain or show your reasoning.
No, 50 is not a multiple of 3 so you cannot divide 50 cards into 3 equal groups.
Mrs. Angelovic's favorite song is 5 1/6 minutes long. Mrs. Hovan's favorite song is 2 5/6 minutes long.
a. How many minutes does it take to listen to Mrs. Angelovic's favorite song and Mrs. Hovan's favorite song? Explain or show your reasoning.
b. How many minutes longer is Mrs. Angelovic's favorite song than Mrs. Hovan's favorite song? Explain or show your reasoning.
a. 8 minutes
b. 2 2/6 minutes
a. Mr. Bunce's school bought 275 packages of pens. There are 6 pens in each package. How many pens did Mr. Bunce's school buy? Show your reasoning.
b. Another school bought a total of 1,734 pens. There are 6 pens in each package. How many packages of pens did this school buy? Show your reasoning.
a. 1,650 pens
b. 289 packages
Miss Gargano and Miss Corrigan each are making a frame for artwork so that:
- the frame is a quadrilateral
- the perimeter is 146 cm
a. Miss Gargano says she can make a square frame where each side has length 37 cm. Do you agree with her? Explain or show your reasoning.
b. Miss Corrigan says she is going to make a rectangular frame whose length is 29 cm. What will the width of her frame be? Explain or show your reasoning.
a. No. A square has 4 sides of the same length, so the perimeter of Miss Gargano's square would be 4 x 37cm and that's 148, which is too much.
b. 44 cm. Miss Corrigan's frame will have another side that is 29 cm long so that's or 58 cm total. The other two sides also have the same length and together they have length or 88 cm. So the other two side lengths are 44 cm.
Miss Nolan's school district in Oxford reported 633,621 students in 2016. Mrs. Matsuyama's school district in Waterbury reported 984,462 students in the same year.
How many more students does Mrs. Matsuyama's school district need to have 1,000,000 students? Explain or show your reasoning.
15,538 more students
Select all true statements.
A. 15 is a multiple of 3.
B. 16 is a factor of 8.
C. 80 is a multiple of 4.
D. The only factor pair of 49 is 1 and 49.
E. The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.
A 15 is a multiple of 3
C 80 is a multiple of 4
E The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4
List these fractions from smallest to largest.
7/4, 7/12, 3/8, 13/6, 1/4
1/4, 3/8, 7/12, 7/4, 13/6
Mrs. Misset's family is getting soil for a garden. The garden will be 160 square feet. Each bag of soil covers 6 square feet. How many bags of soil does Mrs. Misset's family need? Explain or show your reasoning.
27 bags
Label each type of angles below:
a. 1 35o angle and 1 55o angle
b. 1 112o angle and 1 68o angle
c. 1 68o angle and 1 68o angle
a. complementary angles
b. supplementary angles
c. vertical angles
Order the numbers from least to greatest:
13/10, 1.25, 1.46, 7/5, 155/100
155/100, 1.46, 7/5, 13/10, 1.25