Download Test 1-1 Review: Rational Numbers, Estimating Square Roots

Test 1-1 Review: Rational Numbers, Estimating Square Roots, Similar Figures
1.
Circle the numbers that are irrational.
√81
9.3
4
29
π
0.17
Know how to classify each area of
the target
All Real Numbers
√21
2. List 3 examples of each:
Integer _____________________________
Natural number ______________________
Rational number______________________
Irrational Number _____________________
3.
The √77 is between what two integers?
4.
If the area of Allie’s square quilt in her room is 140 square feet, about how long is each side of
the quilt? _____________________
If she wants to put a lace trim around the edges of the quilt, about how many feet of lace will
she need? ___________________________
5. Write the following numbers in scientific notation:
Write in Standard Form:
34,500,000 _________________________
4.07 x 10-2 _____________________
1,246,000, 000 ______________________
3.198 x 105 ____________________
0.742
_________________________
6.3 x 10-3 ______________________
0.002004 __________________________
8.0004 x 103 ___________________
6. The population of China is 1,350,000,000 and the population of Russia is 143,000,000. What is the
difference of their population in scientific notation?
7. Put the following numbers in order from least to greatest.
2
8.
1
2
,2
3
8
, 2
4
5
, 2
2
3
Place the following numbers in their correct location on the number line:
1
33
√10
-230%
0.3
-1
3
5
- √25
9. The table shows Serena’s monthly expenses. Order her expenses from least to greatest.
10. An office building 55 feet tall casts a shadow 30 feet long. How tall is a person standing nearby
who casts a shadow 3 feet long? (Hint: Draw a picture!)
11. A fire tower casts a shadow 30 feet long. A nearby tree casts a shadow 8 feet long.
How tall is the fire tower if the tree is 20 feet tall? Draw a picture.
Find the length of the missing measures:
12.
13.
X = ___________
y = _____________
14.
X = ___________
y = _____________
X = _________
y =_____________
15. The small tree is 8 feet high and casts a 12-foot shadow. The large tree casts a 36-foot shadow.
x
8 ft
12 ft
36 ft
What is the height of the large tree? Set up a proportion.
16. Estimate to the nearest integer:
√95
√378
√1500
√11
√−200
17. Convert the following: Be able to convert percents, decimals & fractions. Show all work!
0.125 to a fraction _________
0.125 to a percent _________
7
8
7
8
to a decimal ____________
to a percent ____________
5% to a decimal ___________
5% to a fraction ___________
18. The attendance at the Texas A&M football game last week was about 104,500. There
were about 72,500 in attendance at the Texans game here in Houston last week. What was
the combined number of sports fans in attendance at the two games, written as a number in
scientific notation?
19.
20.