HSPA Math Macro 4a:
Recognizing, creating, and extending a variety
of patterns
Sample Multiple-choice
Items
A garden center is growing
bean plants using a new fertilizer. At the end of each week, they
record the number of new sprouts.
| Week |
1 |
2 |
3 |
4 |
5 |
6 |
| New Sprouts |
10 |
12 |
16 |
24 |
40 |
72 |
Using the information above,
how many sprouts should the center expect at the end of the seventh
week?
Jessie's business partner set a computer
password on the office computer and went on vacation. Jessie remembered
that the password is a simple pattern. The first few letters of
the password are
A Z D Y G X ____
Assuming that the pattern continues,
what is the next and final letter of the password?
Jose's cousin owes him $50. He offers
to pay Jose $30 today, and tomorrow pay him one-third of what he
paid today. If this pattern of paying one-third what he paid the
day before continues, how much money will Jose's cousin have paid
back in total by the end of day 4?
Kylee and Robin are racing their pet
turtles. Kylee's turtle starts at 1/2 foot from the starting line
and moves at 4 inches per minute. Robin's turtle starts at the starting
line and moves at 6 inches per minute. Assuming they move in the
same direction, where are the turtles after 5 minutes?
|
|
Kylee's turtle is at 2 feet, 2 inches
and Robin's turtle is at 2 feet, 6 inches |
|
|
Kylee's turtle is at 20 inches, Robin's
turtle is at 30 inches |
|
|
Kylee's turtle is at 10 inches, Robin's
turtle is at 30 inches |
|
|
Both turtles are at 2 feet, 2 inches |
You find the code sheet for a secret
code, but something was spilled on one row. See if you can recognize
a pattern and complete the missing row.
| A -0 |
B - 5 |
C - 15 |
D - 35 |
| E 75 |
F- 155 |
G 315 |
H - 635 |
| I - 1 |
J - 7 |
K - 19 |
L - 43 |
| |
|
|
|
| Q - 2 |
R - 9 |
S - 23 |
T - 51 |
| U - 107 |
V - 219 |
W - 443 |
X - 891 |
| Y - 3 |
Z - 11 |
|
|
|
|
M - 91, N - 187, O - 379, P - 763 |
|
|
M - 95, N - 185, O - 375, P - 765 |
|
|
M - 86, N - 172, O - 344, P - 688 |
|
|
M - 89, N - 185, O - 377, P - 761 |
|