math problems

3/4 percent = a) 0.0075 b) 0.075 c) 0.75 d) 7.5 e) 75

A

A tax agency reported that 14 of every 10,000 taxpayers were suspected of cheating and that 29 percent of these people were later found to have cheated. About how many cheaters per 10,000 taxpayers were found? a) 4 b) 6 c) 8 d) 30 e) 40

A

Event A occurs every 2 years, event b occurs every 11 years, and event C occurs every 33 years. If they last occurred together in 1990, when will they next occur simultaneously? a) 2056 b) 2716 c) 3442 d) 2353 e) 2012

A

How many hundredths are there in all in 1.3? a) more than 100 b) between 20 and 100 c) between 10 and 20 d) between 1 and 2 e) less than 1

A

If two liters of a solution that is 15 percent salt will be added to 5 liters of a solution that is 8 percent salt, what percent salt will the resulting solution contain? a) 10% b) 7% c) 20% d) 15% e) 12%

A

It cost x dollars to buy p pieces of candy. How many candles can be purchased with 10 dollars? a) 10p/x b) 10x/p c) 10px d) 10x/p e) x/10p

A

Larry places $2400 in a bank account for a period of two years and six months at a simple annual interest rate of 4%. How much is the account at the end of the time period? a) $2640 b) $2510 c) $2960 d) $2750 e) $2800

A

On his job, John works twice as many hours in a week as Bill does and receive half the weekly pay that Bill receives. What is the ration of John's hourly rate of pay of Bill's hourly rate of pay? a) 1/4 b) 1/2 c) 1/1 d) 1/2 e) 4/1

A

One hour after Tom started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Tom's walking rate is 3 miles per hour and Bob's was 4 miles per hour. How many miles had Bob walked when they met? a) 24 b) 23 c) 22 d) 21 e) 19.5

A

Smoke detector sales increased fro 50 thousand units sold in 1971 to 10 million units sold in 1978. Unit sales in 1978 were what percent of sales in 1971? a) 20,000% b) 5,000% c) 2,000% d) 500% e) 200%

A

The areas of a rectangle a square are equal. If one side of the square is twice the width of the rectangle and the length of the rectangle is 16, find the width of the rectangle. a) 4 b) 10 c) 6 d) 8 e) 9

A

The slope of the line that is perpendicular to 3x + y = 8 is... a) 1/3 b) -1/3 c) 3/8 d) -3 e) 3

A

There is a triangle with a side length of 9 and area of 36. What is the area of a similar triangle with side length of 3? a) 4 b) 12 c) 9 d) 24 e) 18

A

What is the slope of a line that perpendicular to 2x + 2y = 3? a) 1 b) 2 c) -2 d) -1 e) 1/2

A

a and b are both two digit number. a x b = 777. a + b = a) 58 b) 46 c) 72 d) 46 e) 64

A

Bogdan wants to build a boardwalk around his farm that has a perimeter of 972 feet. If each piece of wood he will use is 3 yard long, how many pieces of wood will he need to build the boardwalk? a) 81 b) 108 c) 162 d) 243 e) 324

B

Both m and n are positive integers greater than q. If 23 (m-2) = 21 (n-3), what is the least possible value of m+n? a) 98 b) 49 c) 22 d) 24 e) 26

B

Find the slope of the line that passes through the points (-1,-2) and (-9,-2). a) -1/2 b) 0 c) 1/2 d) 1 e) undefined

B

How many different 3 code if the first digit cannot be 0 or 1? 1) 900 b) 800 c)512 d)729 e)840

B

How many prime numbers from 1 to 50? a) 14 b) 15 c) 16 d) 17 e) 18

B

Mary wants to plant 33 seeds in a row. If she plants them 4 centimeters apart, what will be the distance between the first seed in the row and the last? a) 124 cm b) 128 cm c) 132 cm d) 136 cm e) 140 cm

B

Point A and B is symmetric and x axis. The coordinator of A is (3,4), what is the coordinator of B?

B

Solve for x: 2x - 9 = 5x - 3 a) 16 b) 4 c) 14 d) 8 e) 10

B

The average of 25 statistical entries is 12.44. If a single entry is increased by 1.00 to correct an error, by what amount is the average increased? a) 0.01 b) 0.04 c) 0.10 d) 0.25 c) 1.00

B

The difference of a number n and the number 8 is 42. Which of the following equations represents this statement? a) n/8 = 42 b) n-8 = 42 c) n+8 = 42 d) 8n = 42 e) n = 5

B

The leg of a right triangle is 2 and 4, what is the length of the hypotenuse of triangle? a) 2√3 b) 2√5 c) √3 d) 5 e) 2√6

B

There are group of dragons. Part of them have 3 heads, while the others have 7 heads. All of them have 4 legs. Now we have a group which have 48 heads and 48 legs for total. How many dragons have 3 heads? a) 3 b) 9 c) 8 d) 4 e) 5

B

There is a standard 52-card deck, which contain 4 Jacks, 4 Queens, and 4 Kings What is the probability of randomly draw a Jack or Queen? a) 1/13 b) 2/13 c) 4/13 d) 2/3 e) 1/3

B

What is sum of all the prime factors 40? a) 8 b) 11 c) 13 d) 16 e) 17

B

Write the expression of twelve is decreased by the product of x and five. a) 5x + 12 b) 5x - 12 c) 12 - 5x d) 12x + 5 e) x - 7

B

base of a parallelogram is 2 cm longer than its height. When both base and height time 3, the new area is 135 cm^2. What is the length of the base of the original parallelogram? a) 4 b) 5 c) 6 d) 7 e) 8

B

A certain paint can only purchased in quarts at $6 per can of in gallons at $16 Oper can. To obtain the desired shade, the pain must be mixed in the ratio 4 part ivory to 5 parts bone white. What is the cost of the fewest number of cans that can be purchased if all of the pain must be used in the mixture? (Note: 1 gallon = 4 quarts) a) $12 b) $22 c) $38 d) $46 e) $54

C

A computer is on sale for a 15% reduction. If the sale price is $510, what was the original price? a) 445 b) 433 c) 600 d) 560 e) 500

C

A long distance phone call costs $10.00 for the first ten minutes and $0.75 for each additional thirty seconds. If Andre has $16.65, he can talk for... a) 13 minutes and 30 seconds b) 14 minutes c) 14 minutes and 30 seconds d) 15 minutes e) 17 minutes and 30 seconds

C

Each day of the month, Carl earns an allowance, in cents, equal to the square of that date of the month. Which is a number of cents Carl could earn in a single day? a) 21 b) 31 c) 64 d) 111 e) 120

C

Kenny is 5 years older than Greg. In 5 years, Kenny will be twice as old as Greg is now. How old is Kenny now? a) 5 b) 10 c) 15 d) 25 e) 35

C

The coordinate of the point is (4,7). If the point is moved 1 unit left and 5 units down, what is the new coordinate of the point? a) (3,12) b) (5,12) c) (3,2) d) (5,2) e) (5,2)

C

There are three children, Jane, Robert and Tom, in am family. Jane is three years younger than Robert. Tom is twice the age as Jane. If Robert's age is x, what is the equation represents Tom's age? a) 2x - 3 b) x/2 - 6 c) 2x - 6 d) x - 3 e) x - 6

C

There is a standard 52-card deck, which contain 4 Jacks, 4 Queens, and 4 Kings What is the probability of continuously draw two Kings without replacing? a) 1/351 b) 2/221 c) 1/221 d) 2/169 e) 1/169

C

Which of the following could be the value of h if 4/7 + h < 1? a) 1/2 b) 3/7 c) 2/7 d) 3/5 e) 2/3

C

Which of the following is equal to an integer raised to the third power? a) 2 x 8 x 3 b) 3 x 7 x 64 c) 8 x 25 d) 73 x 8 x 93 e) 20 x 5 x 6

C

5 x (2/5)^3 a) 2/25 b) 4/125 c) 8 d) 8/25 e) 2/125

D

At Banham School, five classes, each with 20 students, wish go form three clubs. If every student must belong to exactly one club and the membership of no club may outnumber the membership of another by more than one, what the least number of students in one club? a) 15 b) 20 c) 21 d) 33 e) 34

D

If X is a positive number and Y is between X and 2X, which of the following is greatest? a) 2X b) 2Y c) X + Y d) 2Y + X e) 2X + Y

D

If a = -4 and b =4/3, find the value of the expression below a) -2/15 b) 38/15 c) -22/15 d) 58/15 e) -38/15

D

If a price of the clothes decrease from $25 to $20, what is the percent decrease in price? a) 4% b) 25 % c) 20 % d) 50% e) 5 %

D

In how many ways can a president and vice president be selected from a club of 10 students? a) 11 b) 110 c) 100 d) 90 e) 99

D

Mario is driving at 40 miles per hour in a 50-mile-per-hour speed zone. What is the greatest fraction by which we can increase his speed and still be within the limit? a) 1/10 b) 1/9 c) 1/5 d) 1/4 e) 4/5

D

The temperature was 54° at 7:00 a.m. At 3:00 p.m. on the same day, the temperature was 82°. What is the rate of change in temperature this time? a) 2.8° per hour b) 7° per hour c) 3.25° per hour d) 3.5° per hour e) 4° per hour

D

Which of the following is a coefficient of xy in (2x + 4y - xy)(4x + 3y +1) a) 9 b) 24 c) 16 d) 21 e) 25

D

Write the equation of the line passing through (-1,-3) and perpendicular to x + 2y = 2 a) y = -1/2x + 3/2 b) y = 1/2x + 5/2 c) y= -2x + 1 d) y= 2x - 1 e) y= -2x - 1

D

find an equation of the line containing the point (-1,-3) with slope m = -4. a) y = 4x + 1 b) y = 4x - 1 c) y = -4x - 13 d) y = -4x - 7 e) y = -4x + 10

D

-3, -1, 0, 2, 5 What is the least number that can be obtained by subtracting one of the numbers above from each other? a) -2 b) -4 c) -5 d) -6 e) -8

E

2x^2 + x - 15 = 0. Find one possible value of x. a) 3 b) 2 c) -5/2 d) 2/5 e) -3

E

Drinks - 620 Popcorn - 800 Hot Dogs - 1200 How many more bags of popcorn were sold than Cans of drinks? (assuming that the popcorn was in the bags and drinks were in the cans) a) 150 b) 175 c) 200 d) 250 e) cannot be determined

E

Find the equation the line with slope = 3 and y-intercept = -2 a) y = 3x - 6 b) y = 3x - 1 c) y = 2x + 1 d) y = 2x - 2 e) y = 3x - 2

E

Hector has a 0.3 batting average (hits/times at bat). If he gets a total of 10 more hits the next 10 times at bat, his batting average will jump to 0.4. Determine how many hits he had originally. a) 24 b) 16 c) 22 d) 34 e) 18

E

If X is not zero and Y is not zero, the (6.25/y), X = a) 25/4xy b) 6x/25y c) 25x/6y d) 4x/25y e) 25x/4y

E

If r, s, and t are positive consecutive odd integers, all of which are less than 6, which of the following statements is true? a) r + t < 2s b) r^2 > st c) r + t > 2s d) r^2 > 2s e) none of the above

E

If the area of a square is 4a^2, find its perimeter. a) 6a b) 8a^2 c) 12a d) 6a^2 e) 8a

E

In a sequence of numbers, the first term is -2, and the fifth term is -512. If the nth term of the sequence is the number before it timing a constant. What is the 3rd term? a) 32 b) 64 c) 64 d) 16 e) -32

E

In game two, Bernadette chose Team B to win by 20 points. Team B won by a score of 24 to 18. How many points did Bernadette score? a) 16 b) 14 c) 10 d) 6 e) 2

E

In the first round of math contest, each students had to answer 2 questions. Miriam averaged 76 seconds per question. Jake and Rafael averaged 84 seconds per question, and Sam averaged 80 seconds per question. At the end of the first round, what was the total time for all 4 students? a) 324 seconds b) 400 seconds c) 480 seconds d) 568 seconds e) 648 seconds

E

Ken packed 5 boxes of books. Stefanie packed more than 4 times as many. What is the fewest number of boxes they could have packed together? a) 20 b) 21 c) 25 d) 26 e) 30

E

Which of the following cannot be expressed as the sum of two prime numbers? a) 21 b) 14 c) 18 d) 28 e) 23

E

n percent of 100n is a) 100 b) n c) 100n d) 100n^2 e) n^2

E