[計量] 一堆計量問題
還是有一堆問題需要請教各位高ꐊ
Coins are put into 5 pockets so that each pocket contains at least
one coin, but no two pockets contain the same number of conins.
Column A Column B
The lease possible 16
total number of coins
in the 5 pockets
Ans: B
2. Column A Column B
The value of the The value of the
units' digit in 6^47 units' digit in 5^77
Ans: A
3. A certain photocopying machine can make 10 copies every 4 seconds.
At this rate, how many copies can the machine make in 6 minutes?
(A) 900
(B) 600
(C) 360
(D) 240
(E) 150
Ans: A
我選B 做法是 60×4=240 240÷4=60 60×10=600 (請問我那裡做錯了?)
4. In square PQRS, T is the midopint of side RS. If PT=8√5
What is the length of a side of the square?
Q ┌───┐R
│ │
│ ┤T (PT=8√5)
│ │
P └───┘S
(A) 16
(B) 6√5
(C) 4√5
(D) 8
(E) 2√6
ANS: A
5. A size S spup can is 10 centimeters high and s size T soup can is
12.5 centimeters high.
Column A Column B
The height of a stack 62.5 centimeters
of cans if each can is
size S except the can on
the bottom of the stack,
ehich is size T
Ans: D (看不懂column A在說什麼?)
6. r > s/3 > 0
Column A Column B
r s
Ans: D (我選B column B較大 為什麼不對呢?)
7. Whicj of the following equations can be use to find the value
of x if 7 less than 5x is 5 more than the product of 3 and x?
(A) 5x-7=5+3x
(B) 5x-7=5+(3+x)
(C) 7-5x=5+3x
(D) 7-5x=(5+3)x
(E) 7-5x+5=3x
Ans: A
8. (1+ x/x+1)- 1-x / x+1 =
(A) 0
(B) 1
(C) 1/x+1
(D) x/x+1
(E) -2x/x+1
Ans: D
9. The area of square PQST in the figure above is 100.
If QR=RS, what is the perimeter of ▲QRS?
R
Q ▲ S
P □ T
(A) 5√2+10
(B) 20
(C) 10√2 +10
(D) 30
(E) 20√2 +10
ANs: C
圖表題
圖表1 Average costs to operate three types of cars over a fpur-year peropd
( based on 15,000 miles per year)
Standard Car Compact Car Subcompact Car
Purchase Price $8,000 $5,600 $4,800
Interest 2,112 1,479 1,267
Insurance 2000 2000 2000
Maintenance/Tires 1120 1080 920
Fuel/Oil 6429 4500 3000
Subtotal 19661 14659 11987
Resale Value -2000 -1400 -1200
Total Cost to $17661 $13259 $10787
圖表2 Average annual savings through car-pooling to work rather than
driving alone
annual savings per person
Type of Car Annual cost 2-persion 3-person 4-person 5-person
driving to car pool car pool car pool car pool
work alone
Standard $2491 $1146 $1544 $1719 $1843
Compact 1870 860 1159 1290 1384
Subcompact 1521 700 943 1050 1126
圖表3 average daily cost of van-pooling to work
round-tip miles van pool cost per passenger
20 $1.45
25 $1.54
30 $1.63
40 $1.81
50 $1.99
60 $2.17
*Based on $1.50 per gallon for fuel
1. If the cost of oil is neglible, what is the mileage (average
miles per gallon of fuel) of a compact car?
(A) 13
(B) 18
(C) 20
(D) 25
(E) 28
ANs: C
2. If 2 people, who would otherwise be driving alone in subcompact cars,
drive in a 2-person car pool using subcompact cars, what is the total
of their average annual costs of transportation to work?
(A) $821
(B) $1400
(C) $1521
(D) $1642
(E) $2342
Ans: D
另一組圖表題
SLAES AND EARNINGS OF COMPANY X
sales Earnings
(in thousand of dollars) (in thousands of dollars)
1973 30 6
1974 50 11
1975 80 8
1976 70 5
1977 60 10
1978 80 12
1979 90 11
1980 100 8
1. For the years 1974 50 1979 inclusive, what was the amount of the
greatest increase in sales for one year to the next?
(A) $5000
(B) $10000
(C) $12000
(D) $30000
(E) $80000
Ans: D
2. If at the end of 1973 Company X sold 30,000 shares of common stock for
35 times Company X's earnings for the year, what was the price of a
share of common stock at the time?
(A) $7.00
(B) $10.00
(C) $17.50
(D) $35.00
(E) $70.00
Ans: A
3. If Company X considered a good year to be any year in which earnings
were at least 20 percent of sales, how many of the years shown were
good years?
(A) None
(B) One
(C) Two
(D) Three
(E) Four
Ans: C
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