SAT : MATHEMATICS


ARITHMETIC

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Q.1: If the average of 6 numbers is 28 and the average of 2 of these numbers is 18 then what is the average of other 4 numbers?
(A) 29
(B) 30
(C) 31
(D) 32
(E) 33

Q.2: Amy and Lisa together weigh 222 pounds and David weighs 168 pounds. What is the average weight of all three ?
(A) 130
(B) 140
(C) 175
(D) 180
(E) 195

Q.3: If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
A.ZY(-V)
B: Z/V – 3 - Y
C: Z/3 – V - Y
D: 3V- Z - Y
E: V- Z – Y

Q.4: If the average weight of the boys who are Jack's age and height is 105 lbs and if Jack's weight is 110$ of the average, then how many pounds does Jack weigh?
A:110
B:110.5
C: 112
D: 114.5
E:115.5

Q.5: The median of the set {1, 4, 4, 6, 9, 9, 12} will remain unchanged if which of the following numbers is added to the set?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 9

Q.6: If x > 0 then what is the median of the set {x + 3, x - 4, 3x + 4 } ?
(A) x+3
(B) 3x+4
(C) 2x-4
(D) 3x+3
(E) x-4

Q.7: For which of the following sets of numbers is the median greater than the mode?
I: (7,7,9,10,11)
II:(-2, -1, 0, 1, 1)
III: ( 12, 13, 13, 14, 15)
A: I only
B: II only
C: III only
D: I and III
E: I , II or III

Q.8: The average temperatures (in degrees) for 5 days were 82, 91, 79, 86 and 91. What is the mode of these temperatures?
A: 79
B:82
C:85
D: 86
E: 91

Q.9: A merchant raises the price of 1 $100 item by 20%. After finding that he cannot sell the item at higher price, however, he discounts it by 20 percent. What is the final price of the item?
(A) 96
(B) 97
(C) 98
(D) 99
(E) 101

Q.10: 3 students are running for class president. Of the 50 students eligible to vote 26% vote for Sean and 28% vote for Aaron. The rest of the students vote for Jennifer. How many votes does Jennifer receive?
(A) 13
(B) 14
(C) 23
(D) 27
(E) 46

Q.11: The cost of a pair of shorts was $45. They have been marked down 40%. What is the price after the discount?
(A) $5
(B) $18
(C) $22.50
(D) $27
(E) $45

Q.12: A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
A. $1800
B. $1900
C. $2000
D. $2100
E. $2200

Q.13: 12 cars are parked in a garage. If all of the cars are either blue or red, all of the following possible ratios of blue cars to red cars EXCEPT
(A) 1:2
(B) 1:1
(C) 3:1
(D) 4:1
(E) 5:1

Q.14: At Lincoln High, the total number of girls in combined junior and senior classes is equal to the total number of boys in those classes. If the senior class has 400 students and junior class has 300 studets, and if the ratio of boys to girls in the senior class is 5:3, what is the ratio of boys to girls in the junior class?
(A) 2:5
(B) 1:2
(C) 5:9
(D) 5:7
(E) 7:9

Q.15: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days

Q.16: A machine labels 150 bottles in 20 minutes. At this rate, how many minutes does it take to label 60 bottles?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Q.17: If 100 paper clips cost $2.00, what is the cost, in cents, of 3 paper clips ?
(A) 2
(B) 3
(C) 6
(D) 16
(E) 33

Q.18: In 1976, Elvis consumed 3 times his body weight in peanut butter and banana sandwiches. If his body weight in 1976 was 250 pounds, and if a peanut butter and banana sabdwich weighs 4 ounces, then how many such sandwiches did he consume in 1976?
(A) 750
(B) 1000
(C) 1500
(D) 2000
(E) 3000

Q.19: A car can drive 25 miles per 2 gallons of gasolene. How many gallons of gasolene will be required for a trip of 150 miles?
A:3 C:9
D:12
E:24

Q.20: A recipe requires 13 ounces of sugar and 18 ounces of flour. If 10 ounces of sugar are used, how much flour, to the neaest ounce, would be used?
A:18
B:16
C: 14
D:12
E:10

Q.21: Joseph drops a rectangular box, denting 2 adjacent sides. If he places the box on a table so that one of the dented sides is on the bottom, what is the probability that the other dented side is NOT on top?
(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3
(E) 1

Q.22: A 6-sided die with faces numbered 1 through 6 is rolled twice. If the first roll is a 4, what is the probability that the next roll will NOT be a 4 ?
(A) 1/6
(B) 1/4
(C) 2/5
(D) 4/6
(E) 5/6

Q.23: The probability in favor of an event is 3/5. What are the odds that the event will occur?
(A) 3:5
(B) 5:3
(C) 3:2
(D) 2:3
(E) 2:5

Q.24: A box contains 5 blocks numbered 1,2,3,4,5. Kack picks a block and places it back. Then Maya picks a block and places back. What is the probability the som of their numbers they picked is even?
A:9/25
B:2/5
C: 1/2
D: 13/25
E: 3/5

Q.25: How many pounds of nuts costing $2.50 per pound should be mixed with 2 pounds of nuts costing $4.50 per pound to obtain a mixture costing $3.00 per pound?
(A) 6 lb
(B) 15 lb
(C) 2 lb
(D) 1.5 lb
(E) 4 lb

Q.26: Paula and Dan live in the same house. Paula leaves home driving 40 miles/h. One hour later, Dan leaves home to catch Paula at 50 miles/h in the same direction. How long will Dan take to catch up to Paula?
(A) 1 hour
(B) 4 hours
(C) 6 hours
(D) 1.5 hours
(E) 10 hours

Q.27: How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?
A. 2 years
B. 3 years
C. 4 years
D. 5 years
E. 6 years

Q.28 During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
A. 345
B. 1,035
C. 1,725
D. 3,105
E. 9,315








    
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