Math 4. Homework 6.
Problems marked with * are more difficult.
1. How will the product change if
a. one factor increases two times
b. one factor is three times smaller
c. one factor increases 2 times and second factor decreases 8 times
d. one factor increases 2 times and another factor increases 3 times
e. one factor decreases 2 times and another factor decreases 3 times
2. 25 identical thick books or 45 identical thin books can fit on a bookshelf. Will
there be enough space on a bookshelf for 20 thick and 9 thin books?
3. Compute:
a)
b)
c)
d)
a)
b)
c)
d)
a)
b)
c)
d)
4. Linda bought yellow, green, red, and blue balloons for her birthday. She bought
12 yellow balloons, 2 less green balloons than yellow, a number of red balloons
that was the half of the number of yellow and green balloons altogether, and a
3
number of blue balloons that was of the number of yellow
1
4
balloons. 3 of all balloons she tied to her door and the rest
– to her mailbox. How many balloons did Linda tie to her
mailbox?
5. Solve the following equations :
𝑥+
4
9
=
5 10
𝑦−
4 5
=
9 6
6. Find three identical cards.
7. Wooden cube painted red is cut into 27 identical smaller cubes by making two
cuts parallel to each of the three pairs of cube’s faces (similar to Rubik’s cube).
How many small cubes will have three faces painted?
How many small cubes will have two faces panted?
How many small cubes will have one face painted?
How many small cubes will not have painted faces at all?