7 th grade math tourn. practice. 2004 7 th grade

7th Grade Math Tourn. Practice

2004 7th Grade

Which of the following has a mean of 20?

30, 18, 16, 20, 18, 28, 1832, 10, 33, 43, 12, 33, 1218, 12, 11, 10, 22, 40, 454, 30, 16, 35, 17, 19, 19

Stacy has $350 in her savings account. If 24% came from her

graduation, 20% from babysitting, 19% from her birthday, and 37%

from allowance. How much money came from babysitting?

What is the value of ? 35

Margaret solved a math problem and came up with an answer of 24. Which of the following expressions

also has a value of 24?22 6 8 6

15(5 3) 12

222 6 3 27

12 3 10 2

What is the value of the expression

when x = 4 and y = 3?

23 5x y

Carla’s Detail Car Wash will come to your home and clean your car. This service charges $12 per car

plus $5 for each hour after the first hour. Write an algebraic expression

that describes how to figure the cost.

Ralph’s favorite number is very special. The prime factors of this number do not repeat and are all odd prime numbers less than 15.

What is Ralph’s number?

At the football game, Brett carried the ball 5 different times. He ran for

a gain of 15 yards, a loss of 5 yards, a loss of 8 yards, a gain of 20 yards, and a loss of 4 yards.

What was his total yardage?

Caroline had $567 in her checking account. She wrote three checks

for $45, $18, and $287. What is her current checking account balance?

Max recorded the following morning temperatures over the past week.

Write the temperatures from least to greatest.

10 , 8 , 2 ,0 , 9 ,2 ,5

Which is not equal to three-fourths?0.75, 6/9, 12/16, 75/100

What is the sum of the two shaded regions written as a decimal and

percent?

Carlos has cups of sugar. After making 5 gallons of ice tea, he now

only has cups of sugar. How much sugar did Carlos use to

sweeten the tea?

347

352

John, Carol, Sue, and Wyatt decided to drive to the beach. It is a

hour drive. John drove

hours. Carole drove hours. Sue drove hours. How many hours

did Wyatt drive if he drove the remaining time?

781

131

122

347

Terry read 6 pages of his reading book in 18 minutes. How long will it

take him to read a story that has 150 pages?

Ashley is using a recipe that calls for lb of butter. The recipe

serves 16 people, but Ashley only needs to serve 4 people. How

much butter should she use if she reduces the recipe?

123

Which two ratios are proportional?

3 95 25and

1023 15and

318 16and

9 3612 60and

Which of the following triangles are similar?

On a road map, the distance between city A and city B is 7.25

inches. What is the actual distance if the map scale is 2.5 inches

equals 35 miles?

Which is not equivalent to ?40200

1 45 20, ,20%,40%

Ramon spent 40% of his savings on a new stereo system. If he had $275.50 in his savings account, how much did he spend on the

stereo system?

If a light reflects a mirror at a 48 degree angle, what is the supplement of the angle?

Mariah needs to fence in her pool yard. How many feet of fencing will

Mariah need to purchase?

The average life span of a dog is 12 years. How many hours is this?

If the height of the following cone is reduced by one-third, what is the

difference in the volumes of the two cones?

Four friends went to lunch. The total bill was $48.50. The friends

wanted to add a 15% tip to the bill and then split the bill into 4 equal

amounts. How much did each friend have to pay? Round to the

nearest cent.

7th Grade 2002

Mrs. Wing organized a school trip to an amusement park. There are

enough people going to fill 6 buses that hold 45 passengers each. Each bus will have four adult

chaperones with the students. How many students will be going to the

park?

If b = 3 and c = 4, evaluate

3( )b cb c

The wave pool at Cedar Point Park holds 500,000 gallons of water. If it fills at a rate of 10,000 gallons per hour, about how long will it take to

fill the pool?

610 0.0793

The trail up to the top of Pike’s Peak is about 23 miles long. The Kalman family drove about three quarters of the way. About how

many more miles must they drive to reach the top?

A beaker contains 625 milliliters of water. A chemist pours 0.25 liter of the water into a solution. How many

milliliters are left in the beaker?

Find the LCM of 17, 27, and 37.

Write a percent to represent the shaded area.

a = (-9)3

Use the graph to describe the movement from

' ' 'XYZ to X Y Z

4 22 3.6n

-35 = -6b +1

5.3 – 6m = -1.3

5 69 73 2

314 52 3

If each side of an eight sided stop sign measures about inches, what is its perimeter to the nearest

foot?

131612

Find the circumference of a circle whose diameter is yard. Round

to the nearest tenth.

59

What is the density per square foot of 2,112 cats in 96 square feet?

On a scale drawing, the scale is

What is the dimensions in the scale drawing for a room that is 27 feet

by 20 feet.

14 :1inch foot

Jeri asked her 31 classmates how many liked chocolate cake, white cake, or neither. Fourteen liked chocolate and nine liked white.

Assuming that all of her classmates replied, what percent liked neither?

Round to the nearest percent.

Estimate to the nearest whole number.178

The length of one leg of a right triangle is 21 inches and the length

of the hypotenuse is 35 inches. Find the length of the other leg.

Find the area of the trapezoid:

A strong wind blew over a billboard 27 feet tall so that it is leaning

against a telephone pole. The top of the billboard is 21 feet from the ground. How far from the base of the telephone pole is the base of

the billboard?

Some divers found a shipwreck in the Gulf of Mexico. The mast of the

ship had broken off and was leaning against a vertical section of

the coral reef. If there was 12.8 meters of the top of the mast left resting 5.5 meters away from the base of the reef, how high up the reef is the crow’s nest (top of the

mast) resting?

Find the percent of change if the original price is $19.95 and the new price is 14.49. Round to the nearest

percent.

Find the volume of the rectangular prism with length 9.3 meters, width 6.6 meters, and height 3.2 meters.

Round to the nearest tenth.

There are two bunny counters, 16 mouse counters, 8 snake counters, and 7 monkey counters in the bag.

Gina takes 2 counters without replacing the first one. Find

P(snake, then bunny).

2000 7th Grade

Solve:3 38 2( 8)c

In the 7th grade class, of the students are at least 13 years old. If there are 12 students younger than 13, how many are older than 13?

47

Find the GCF of 16, 56, and 64

What is the multiplicative inverse of 163

If a = 4, b = 7, and c = 10, evaluate

4 2a c b

What is the total cost of a shirt that cost $27.99 if the tax rate is ?3

48 %

Write twenty-five thousandths in scientific notation.

What is the square root of the cube root of 64?

The price of a long sleeved shirt at Hammer’s went from $28.59 to

$36.89 last month. Find the percent of increase to the nearest whole

percent.

If 30% of the people surveyed preferred the color green, how

many degrees would represent this sector on a circle graph?

Find the circumference of a circle with r = 4.2 cm.

Find the volume of a cylinder that has a diameter of 6 ft. and a height

of 24 ft.

What four sided figure has one pair of parallel sides?

A piece of wire is cut into thirds. One-third was used. One-fifth of the

remaining wire was used. The piece that remains is 16 ft. long.

What was the original length of the wire?

Find the median of 30, 25, 20, 18, 22, 30, and 28.

List the elements that would be contained in the resulting set

{100,98,95,78,62} {57,78,82,94,95,98}

How much interest is earned on $5000 at 8% simple interest in 3

months.

40% of what number is 82?

What is

1 13 2 36of of

Simplify:018 (16 35 7 199.996)

Alana and Chris are running for president of a service group, and Bert, Devon, Elaine, and Frances

are running for vice-president. How many president/vice-president

combinations are possible?

Find the largest integer that satisfies the following inequality:

12 3 152x

Simplify:

(3 2 1 ) (1 2 1 2 )gal qt pt gal qt pt oz

Find the surface area of a rectangular prism whose height is

10 cm, width is 12 cm, and length is 15 cm.

What is the height of a right triangle whose base is 24 in and has a

hypotenuse of 26 in?

Given:

Find N.

3 4(6 )(5 ) ( )(900)N

A 100 ft. rope is cut into 3 pieces. The first is 3 times as long as the

second, and the third piece is 20 ft. shorter than the second. How many

feet long is the shortest piece?

What is the mean of all the prime numbers between 90 and 115?

1998 7th Grade

87.5 is 3.5% of what number?

20 + .06 + .005 + 9.0062

Which is biggest?

5.5% 100of

125% 12of34 84of125 10

29.55 10

Find the area of a triangle with a base of 20 ft. and a height of 18 ft.

1234

6

If Tom answered 35 questions correctly, what percent did he get wrong if there were 50 questions?

Change to a decimal and round to the nearest tenth:

574

Find the perimeter of a regular pentagon if a side is 12m.

Find the area of a circle whose diameter is 20 ft.

Solve for y:2y + 5 = 17

(-72) – (-84) =

Which is not true:A right triangle always has two acute angles.

A scalene triangle has no congruent sides.

A triangle may have two obtuse angles.

An equilateral triangle has three congruent angles.

In a right triangle, the largest angle is opposite the longest side.

Find the value of 5abc if a = 7, b = 36, and c = 40

Simplify:

75 35 5 4 3

Find the area of a square if the perimeter is 96 ft.

Find the GCF of 96 and 72.

Find3 24 2

( 12) ( 4)

A man needs 4.75 lbs. of grass seed. If he has 80 oz, how much

more does he need?

If you travel 225 miles in hours, what is your rate of speed in miles

per hour?

343

How much time elapses between 4:30 am and 8:15 pm the same

day?

Find the area of a triangle in square yards if the base is 12 ft and the

height is 18 ft.

If 3x – 3 > 12, write three possible values of x.

Sue purchased 5 pens at $1.25 each and paid sales tax of 8%. How much changed did she get

from $10?

Write in order from least to greatest:

512 8, 0.65, , 6.5%

If the area of a rectangle is 135 square feet and the width is 9 ft.,

what is the perimeter?

A farmer needs 1,350 lb. of hog feed each day. How many tons

must he buy for a week if cannot buy parts of a ton?

Give the sum in feet:

(3 18 ) (5 10 )ft in ft in

1997 7th Grade

What is the sum of 16 + 2.04 + 133.27?

Mrs. Jones bought a radio for $128. 86. She also bought a box of

tapes for $11.50. How much change would she receive if she

gave the clerk $150.00?

What is 34.824 x 100?

Suppose your body burns 4 calories per minute while walking, 8

calories per minute while swimming, and 6 calories per

minute while bicycling. How many calories would you burn if you spent 5 hours walking, 4 hours

bicycling, and 6 hours swimming?

What is the quotient when you divide 87.516 by 44?

A refreshment stand sells a 0.4 liter serving of lemonade for $.65. How much money is made if 9.2 liters

are sold?

Solve the equation:d + (3.6 + 2.5) = 15.5

Solve:

35 2 43b

Add.

3 548 6 248 9 2

Julie has 2 pieces of fabric. One piece is yards long. The other is

yards long. How much must she cut from the longer piece for both pieces to be the same size?

234

5123

1 24 71 2

James teaches carpentry. To save money, James buys wood in bulk.

He has one piece that is ft. long. He must saw it into ft. segments

for birdhouse floors. How many segments can he cut from the

piece?

128

34

Add. Reduce to lowest terms.

4 . 2 .qt c2 . 5 .qt c

Add.

4 . 2 . 10 .yd ft in3 . 1 . 11 .yd ft in

A video tape can record 4 hours of TV shows. A 90 minute show and

an 85 minute show have been recorded. How much time is left on

the tape?

What percent of 50 is 15?

The original cost of an item is $360. If you receive a discount of 18%, what will be the sale cost of the

item?

What is the best name for the figure?

If the measure of two angles of a triangle are and , what is the measure of the third angle?

50 65

What is the circumference of a circle with a radius of 100 ft?

Sue decided to change the tile floor on her rectangular kitchen floor. The floor is 20 ft by 10 ft. If each

square is ft long, how many tiles are needed?

141

There are 2 purple, 3 yellow, and 2 green balls in a bag. Without

looking, you choose one ball. What is the probability that the ball will

not be yellow?

What is the mean of 91, 95, 99, 90, 99, 98, 94, and 92 rounded to the

nearest tenth.

A hardware store kept a record of the sizes of drill bits sold in one week. The sizes in inches were

What is the mode of the sizes sold?

1 1 1 1 18 16 4 2 8, , , , , 1and

What is the correct order of these numbers from greatest to least?

5, -2, 6, and -9

Carlos ran a mile in minutes. Juan ran the distance of a minute faster. How long did it take Juan to

run the mile?

12734

It costs $5.00 to rent a small tractor. In addition, it costs $3.00

per hour to use. Paul paid $23.00 in all. How many hours did he use the

tractor?

Mr. Wagner had some money. He spent of it on books. Then he spent of what was left on a microwave oven. This left him

$60.00. How much money did he have in the beginning?

1523

1995 7th Grade

What is of 80?1212 %

Solve:1 12 23 2 44x

Give the decimal and fraction form of

16.5%

Which is the greatest?

14 0.07352.45

24 3 166.5 100 6497

Find the mean of the following numbers:

67, 73, 41, 85, and 74

Find the surface area of a rectangular solid with a height of

3 mm, a width of 4 mm, and a length of 11 mm?

What is the percent of increase from $83.50 to $93.52?

The sum of two acute angles in a right triangle is what ?

When 30 is divided by , the quotient equals what ?

12

The perimeter of an equilateral triangle is 36. What is the length of

a side of the triangle?

Round to the nearest whole number: 0.9111.

What is the value of the underlined digit?

23,809.23809

9,001 - 934

Find the area of the rectangle with a width of 9.1 cm and a length of

8.7 cm.

Two angles of a triangle have measures of 44 degrees and 18

degrees. Find the measure of the third angle.

Jill bought a radio for $29.95. The sales tax was 5%. What was the

total amount she paid?

Write a number that is divisible by 2, 3, 5, and 10.

3 108 93 0.25 8

Simplify:3.891000

12 ft. = ____ in.

Simplify: 1245 3 2

Subtract four hundred twenty-five ten-thousandths from four hundred and twenty-five ten-thousandths.

Multiply:3 6 1317 10 19 155 2 1 2

The area of a rectangular floor is 72 square feet. It is twice as long as it

is wide. How long is it?

What is of 64?34%

The height of 11 students were recorded in inches as 57, 52, 61, 57, 49, 54, 61, 57, 53, 51, and 53.

What is the median height?

If Mark must not spend more than $15 for stamps, and the stamps

cost $0.35 each, what is the greatest number that he can buy?