Expert answer:math number systems review questions (19 questions

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1.
Convert each of the following numerals to Hindu-Arabic.
a.
b.
c.
2.
3.
d.
MMCDLXIV
e.
5738
Convert each of the following Hindu-Arabic numerals to the indicated numeral:
a.
39,790 to Babylonian numerals
b.
3,249 to Roman numerals
c.
210,406 to Egyptian numerals
d.
4,000 to Mayan numerals
e.
2,095 to base 7
f.
51 to base 3
Compute each of the following:
a.
54026 + 2156
b.
23204 – 2314
c.
4325 × 235
d.
87259 ÷ 49
4.
Compute 23 × 14 using Duplation and Mediation.
5.
Compute 258 × 43 using the Lattice method.
6.
Simplify.
a.
b.
c.
d.
7.
8.
Express the number as a quotient of two integers.
a.
0.021
b.
The rental cost of a jet ski from Store 1 is $15 per 15 min, and the cost from Store 2 is
$25 per half hour. If you plan to rent the jet ski for 2 hr, which is the better deal? And, by
how much?
9.
If 1.5 milligrams of a medicine is to be given for 10 lb of body weight, how many
milligrams should
be given to a child who weighs 47 lb? Solve using proportions.
10.
With a certain medical insurance policy, the customer must first pay an annual $100
deductible, then the policy covers 80% of the cost of x-rays. For a specific year, two xrays were submitted by the customer. The first x-ray cost $640 and the second cost $920.
How much will the customer need to pay for the year?
11.
Marina wishes to plant a rose garden in her backyard. The rose garden will be in the
shape of a 9 ft by 18 ft rectangle. Marina wishes to add a 4 in layer of organic topsoil on
top of the rectangular area. The topsoil sells for $32.95 per cubic yard. Determine how
many cubic yards of topsoil Marina will need and how much the topsoil will cost.
12.
A bag used to apply icing to a cake is in the shape of a cone with a diameter of 3 in and a
height of 6 in. How much icing will this bag hold when full?
13.
Assuming the hamburgers have the same depth, which hamburger is larger and by how
much? A square hamburger that is 3 in long on each side from Wendy’s or a round
hamburger with a diameter of 3.5 in from Burger King?
14.
Find the complementary angle of 78.
15.
Find the supplementary angle of 12.
16.
Lines l1 and l2 are parallel. Determine the measure of  x. (not drawn to scale).
48
l1
l2
31
x
17.
Determine the sum of the measures of the interior angles of the indicated polygon.
a.
Trapezoid
b.
Acute triangle
c.
Decagon
18.
A regular polygon is shown. Find the measures of x and y.
x
19.
y
The polygons are similar. Given the values of the illustration below, find the lengths of
sides x and y.
12/5/2017
MATH 101 NUMBER SYSTEMS – Fall, 2016
35. Apply modulo arithmetic to a word problem (9.3)
PRACTICE PROBLEMS
Answer key is provided in the last pages. Please know that the solutions do not include the steps and details that
are required to be shown in order to receive credit on the test.
1.
Convert each of the following numerals to Hindu-Arabic.
a.
b.
c.
2.
3.
d.
MMCDLXIV
e.
5738
Convert each of the following Hindu-Arabic numerals to the indicated numeral:
a.
39,790 to Babylonian numerals
b.
3,249 to Roman numerals
c.
210,406 to Egyptian numerals
d.
4,000 to Mayan numerals
e.
2,095 to base 7
f.
51 to base 3
Compute each of the following:
a.
54026 + 2156
b.
23204 – 2314
c.
4325 × 235
d.
87259 ÷ 49
4.
Compute 23 × 14 using Duplation and Mediation.
5.
Compute 258 × 43 using the Lattice method.
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2/4
12/5/2017
6.
MATH 101 NUMBER SYSTEMS – Fall, 2016
Simplify.
a.
b.
c.
d.
7.
8.
Express the number as a quotient of two integers.
a.
0.021
b.
The rental cost of a jet ski from Store 1 is $15 per 15 min, and the cost from Store 2 is $25 per half hour.
If you plan to rent the jet ski for 2 hr, which is the better deal? And, by how much?
9.
If 1.5 milligrams of a medicine is to be given for 10 lb of body weight, how many milligrams should
be given to a child who weighs 47 lb? Solve using proportions.
10.
With a certain medical insurance policy, the customer must first pay an annual $100 deductible, then the
policy covers 80% of the cost of x-rays. For a specific year, two x-rays were submitted by the customer.
The first x-ray cost $640 and the second cost $920. How much will the customer need to pay for the
year?
11.
Marina wishes to plant a rose garden in her backyard. The rose garden will be in the shape of a 9 ft by
18 ft rectangle. Marina wishes to add a 4 in layer of organic topsoil on top of the rectangular area. The
topsoil sells for $32.95 per cubic yard. Determine how many cubic yards of topsoil Marina will need and
how much the topsoil will cost.
12.
A bag used to apply icing to a cake is in the shape of a cone with a diameter of 3 in and a height of 6 in.
How much icing will this bag hold when full?
13.
Assuming the hamburgers have the same depth, which hamburger is larger and by how much? A square
hamburger that is 3 in long on each side from Wendy’s or a round hamburger with a diameter of 3.5 in
from Burger King?
14.
Find the complementary angle of 78°.
15.
Find the supplementary angle of 12°.
16.
Lines l1 and l2 are parallel. Determine the measure of Ð x. (not drawn to scale).
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3/4
12/5/2017
MATH 101 NUMBER SYSTEMS – Fall, 2016
48°
l1
l2
x
31°
17.
Determine the sum of the measures of the interior angles of the indicated polygon.
a.
Trapezoid
b.
Acute triangle
c.
Decagon
18.
A regular polygon is shown. Find the measures of Ðx and Ðy.
x
19.
y
The polygons are similar. Given the values of the illustration below, find the lengths of sides x and y.
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4/4
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