Test 9, Units 6 - 8 (8.1 - 8.13)

Question 1

complementary angles contain 180 degrees

Answer 1

false - complementary angles contain 90 degrees

Question 2

a right angle contains 90 degrees

Answer 2

true

Question 3

mathematical probability is expressed as a ratio

Answer 3

true

Question 4

2 angles with a common ray between them are adjacent angles

Answer 4

true

Question 5

the opposite sides of a rectangle are parallel

Answer 5

true

Question 6

perpendicular lines form right angles

Answer 6

true

Question 7

a compass is used to measure the number of degrees in an angle

Answer 7

false - a compass is used to draw circles

Question 8

angles are formed by 2 rays

Answer 8

true

Question 9

similar triangles have the same size and shape

Answer 9

false -

Question 10

a divided bar graph is another name for a histogram

Answer 10

false

Question 11

scale 2 in. = 50 mi.

4 in. =

Answer 11

2 4 cross multiply 2x = 200
— = — x = 100
50 x

Question 12

scale 2 in. = 50 mi.

10 in. =

Answer 12

2 10 cross multiply 2x = 500
— = – x = 250
50 x

Question 13

scale 2 in. = 50 mi.

9.2 in. =

Answer 13

2 9.2 cross multiply 2x = 460
— = – x = 230
50 x

Question 14

scale 2 in. = 50 mi.

1 1/2 in. =

Answer 14

2 1.5 cross multiply 2x = 75
— = – x = 37.5
50 x

Question 15

scale 2 in. = 50 mi.

15 1/2 in. =

Answer 15

2 15.5 cross multiply 2x = 775
— = – x = 387.5
50 x

Question 16

find the gross pay for 39 hours at $8.17 per hour.

Answer 16

8.17 x 39 = $318.63

Question 17

find the cost of twelve $1,000 bonds at a quotation of 84.50.

Answer 17

$1,000 x .845 = $845

$845 x 12 = $10,140

Question 18

find the simple interest on $500 at 6% for 1 year.

Answer 18

i = prt
i = $500 x .06 x 1
i = $30

Question 19

find the life insurance premium on $20,000 at $28.14 per $1,000.

Answer 19

divide the 20,000 by 1,000 giving you 20.

$28.14 x 20 = $562.80

Question 20

find the fire insurance premium on a $75,000 house at a rate of $.96 per $100.

Answer 20

divide the 75,000 by 100 giving you 750.

750 x .96 = $720

Question 21

find the mean of 13, 25, 16, 52, 9.

Answer 21

add 13, 25, 16, 52, 9 to get 115. divide 115 by 5 = 23

Question 22

find the length of the radius in a circle if the diameter is 10 ft.

Answer 22

the radius is 1/2 the diameter, so the radius is 5 ft.

Question 23

find the median of 14, 12, 9, 7, 12, 11, 6, 7.

Answer 23

6, 7, 7, 9, 11, 12, 12, 14

9 & 11 are the middle numbers, so add them & divide by 2. 9 + 11 = 20 20/2 = 10

Question 24

find the mode of 93, 87, 90, 74, 77, 95, 88, 81, 90

Answer 24

90 is the only one that appears more than once.

Question 25

write the probability that the numbers 263 will be the first three digits of a code number.

Answer 25

the first three digits can each be 0,1,2,3,4,5,6,7,8,or9, a total of 10 numbers. so 1 out of 10 chance that 2 will be the 1st. 1 out of 10 chance that 6 will be the 2nd, and 1 out of 10 chance that 3 will be the 3rd. the total chance would be 1/10 x 1/10 x 1/10 = 1/1000

Question 26

find the mean of 58, 43, 33, 69, 41, 74

Answer 26

add them & divide by 6

mean = 53

Question 27

draw and label a line perpendicular to the given line segment

Answer 27

you will draw a line in the middle of the line segment that forms a 90 degree angle on each side.

Question 28

construct a circle with a radius of 3/4 inch.

Answer 28

use your compass to draw a circle with this radius.

Question 29

bisect angle ABC using a compass.

Answer 29

you will draw a line in the middle of an angle making two equal angles

Question 30

two angles are supplementary. The first angle has 20 degrees more than the second angle. How many degrees are in each angle?

Answer 30

x + x + 20 = 180
2x + 20 - 20 = 180 - 20
2x = 160
x = 80
x + 20 = 100
The two angles are 80 degrees & 100 degrees.  Supplementary angles add to make 180 degrees.

Question 31

Cara bought a motorcycle that cost $1,250. She paid $250 down and the remainder in 18 monthly payments of $60 each. How much interest did she pay?

Answer 31

18 x 60 = 1,080 in payments
1080 + 250 = 1330 payments plus the down payment
1330 - 1250 = 80 total paid minus the cost of bike
$80 in interest.

Question 32

Cara makes $9.19 per hour. find her social security tax at the rate of 7.65% for a 40 hour work week.

Answer 32

9. 19 x 40 = 367.60

367. 60 x .0765 = 28.1214 round to $28.12

Question 33

Cara bought 200 shares of stock at a quotation of 24.5. The brokerage fee was $139. What was the total cost?

Answer 33

24.5 x 200 = 4900

4900 + 139 = $5,039

Question 34

If Cara makes $300 per week, how long did she have to work to buy the motorcycle & the stock?

Answer 34

the bike was $1330, the stock was $5,039, add them & divide by 300.
1330 + 5039 = 6369
6360/300 = 21.23 weeks ! Good thing she lives with her parents & they buy her food & stuff.