Download Final Review with Answers Math 10

Math 10 Review
1.
2.
3.
Review the following vocabulary.
addition
factor
approximate
fraction
average
improper fraction
base
mixed number
cube
multiplication
decimal
number line
difference
percent
division
place value
exact
power
exponent
product
Write the word name for each number below.
a.
3,607
b.
2.078
c.
0.0098
2
d.
45
e.
12
55
Write each number, whose word name is given here, in as many ways as possible.
a.
4.
proper fraction
quotient
remainder
round
square
square root
subtraction
sum
term
whole number
one thousand, two hundred
forty
b.
two and twenty-five hundredths
c.
sixteen and seven tenths
d.
twelve and seventeen twentieths
e.
two hundred twenty-two tenthousandths
Translate each of the following phrases to a numerical expression. Do not simplify.
a.
the sum of five and twenty-one
b.
five times the square of 3
c.
six plus twice twenty
d.
the quotient of sixteen and the
difference of five and one
e.
the sum of two and the cube of four
f.
the cube of the sum of two and four
5.
For each numerical expression you wrote in problem 4, underline the terms and
simplify showing all steps.
6.
Determine the quotient of 47 and 9. Record the result as a mixed number.
7.
Draw a picture of each improper fraction. Use your picture to write the fraction as a
mixed number.
a.
8.
b.
11
6
Draw a picture of each mixed number. Use your picture to write the mixed number
as an improper fraction.
a.
9.
13
5
4
27
b.
1
32
If a bag of jelly beans has 17 green, 5 yellow, 12 orange, and 2 red, what fraction of
the jelly beans is orange? What percent of the jelly beans are green?
10. For each figure, determine the fraction of the area that is shaded.
a.
b.
c.
11. The refrigerator door holds 18 eggs. How many dozen eggs is that?
12. Round each decimal as indicated.
a.
Round 23.5895 to the nearest tenth.
c.
Round $25.46 to the nearest dollar.
b.
Round 452.347 to the nearest ten.
d.
Round $35.17942 to the nearest cent.
13. Put =, <, or > between each pair of numbers.
a.
2.36
2.4
b.
0.086
0.09
c.
345¢
d.
2
3
3
7
g.
2.8
25
e.
2
3
5
7
h.
23
3
7.7
f.
3.52
35
$3
3
4
14. Locate the following numbers on the number line as accurately as possible.
a.
1
24
b.
3.45
1
0
7
5
c.
4
3
2
15. Measure each line in both inches and centimeters.
16. a.
b.
What is 50% of 80?
c.
What is 15% of $12.40?
25 is 50% of what number?
d.
What is 125% of 400?
17. Explain how to figure a tip of 15% without your calculator.
18. For each problem below, 1) give an estimate showing steps and 2) give the actual
result indicating if it is exact or approximate.
5
1
13
a.
29 + 46 – 18
c.
b.
3.56(14.7 – 5.098)
5
(26 + 1.9)3
3
d.
7.7 + 0.857 – 24
Answers to Math 10 Review
2a.
2b.
2c.
three thousand, six hundred seven
two and seventy-eight thousandths
ninety-eight ten-thousandths
3a.
1,240
3b.
2.25, 2100 , 24 , 4
25
16.7,
4a.
4b.
4c.
5 + 21
5*32
6 + 2*20
5 + 21
= 26
9
four and two-fifths
twelve fifty-fifths
3d.
1220 , 12.85, 20
111
0.0222, 222 ,
3e.
7 167
1610 , 10
3c.
5a.
1
2d.
2e.
4d.
16
5–1
4e.
2 + 43
5b.
5*32
= 5*9
= 45
17
257
1 0,000
4f.
5c.
5 ,000
(2 + 4)3
6 + 2*20
= 6 + 40
= 46
16
5–1
5d.
16
= 4
=4
6.
9.
10a.
11.
12 1
36 = 3
1
2
1
12 dozen
25
7b.
16
5
17.
8b.
1
18
7
7
2
3
10b. 6
10c. 8
12c. ≈ $25
12d. ≈ $35.18
13d. >
13e. <
13f. <
13g. =
13h. <
a
c
14.
15.
2
1
1
b
3
4
5
14 in., 3.2 cm.
16a. 40
8a.
≈ 47%
13a. <
13b. <
13c. >
15.
= 63
= 216
3
7a.
12a. ≈ 23.6
12b. ≈ 450
0
(2 + 4)3
5f.
= 2 + 64
= 66
2
9
5
2 + 43
5e.
216 in., 5.9 cm.
17b. 50
17c. $1.86
17d. 500
Find 10% by dividing by 10. Then take half of the result to determine 5%. Add the
results for the 10% and 5% to determine 15%.
18a. estimate ≈ 3 + 4 – 1
=7–1
=6
exact = 6
18c. estimate ≈ (3 + 2)3
= 53
= 125
exact ≈ 106.05
18b. estimate ≈ 4(15 – 5)
= 4(10)
= 40
exact ≈ 34.2
18d. estimate ≈ 8 + 1 – 3
= 9 –3
=0
exact ≈ 0.175