Module I
Quiz Master
Write an arithmetic expression that represents each situation. Then find its value.
1. The sum of 18, 23, and 51.
2. The quotient of 2, 910,000 and 550,000.
3. The square of 9.
4. The product of 4, 5, and 6.
5. 10 decreased by the cube of 2.
HSCT/FCAT practice
6. Jean built a fence 20 feet in length. She put posts every 2 feet. How many posts did she need?
A) 40 posts
B) 18 posts
C) 11 posts
D) 10 posts
1. Write a verbal expression for 2c - x2
2. Evaluate 34
Write an algebraic expression for each verbal expression.
3. a number increased by 17.
4. twice a number decreased by 45.
5. the square of a number decreased by twice the number.
HSCT/FCAT practice
6. Last year John ran the 100-meter dash in 12.3 seconds. This year John ran the 100-meter dash in 15 seconds. How much faster was John's time last year?
A) 1.8 seconds
B) 2.7 seconds
C) 2.8 seconds
D) 3.3 seconds
1. Write an algebraic expression for twelve less than twice a number.
2. Write a verbal expression for 7x.
3. Evaluate 25
4. Find the next 3 numbers in the sequence 1/4, 1/4, 3/4, 1...
5. Evaluate 54 - 42/7
HSCT/FCAT practice
6. Martha Brown bought 2 cases of frogs to feed the 5 alligators on her farm. Each case contains 20 frogs. If Ms. Brown feeds each alligator the same amount, how many frogs will each alligator receive?
A) 100
B) 40
C) 20
D) 8
Write/draw the next three numbers/objects in each sequence.
1. 2, 4, 6, 8...
2. 1, 4, 9,16...
3. 1, 3, 6,10...
4. 40, 20, 10, 5...
5.
HSCT/FCAT Practice
6. A square is 3 inches on each edge. How many different 2 inch Squares could be formed out of the original square?
A) 2
B) 3
C) 4
D) 6
Simplify each expression.
3. 5(32 + 23)1. 5 + 6 * 3 + 7
2. 3 (10 + 6) - 8 * 6
Evaluate if x = 4, y = 2, and z = 5
4. 3xz - y3
5. 6x + y2 - z2
HSCT/FCAT practice
6. The Titanic hit an iceberg a 11:59 p.m., April 15,1912. The ship sank 7,200 seconds later. At what time did the Titanic sink?
Solve each equation.
1. 0 + r = 5
2. b * 1 = 3
Name the property illustrated by each statement.
3. 3 + 2 = 2 + 3.
4. 4 + (3 + 5) = (4 + 3) + 5
5. 3 (x + 7) = 3x + 21
HSCT/FCAT practice
6. Which algebraic expression means the same as this phrase:
Six more than the sum of some number x and 5?
a) 5x + 6
b) 6 + (x + 5)
c) 6 (x + 5)
d) 5 + 6x
1. Use a stem-and-leaf plot to represent the following test data: 56, 75, 89, 92, 87, 64, and 82.
2. Based on the plot, in what interval did the most grades fall?
3. Give all 3 measures of central tendency (mean, median, mode) for the data.
4. Given the data 125, 128, 134, 158, 164, 144, 168, 172, and 165, what stems would you use to represent the data?
HSCT/FCAT practice
a) 94, 86, 86, 87, 82, 79, 885. The mean on a set of test scores was 88 and the median was 86. Which is the correct set of test scores?
b) 85, 88, 95, 83, 82, 86, 97
c) 88,86,81,97,90,91,83
d) 85,89,97,86,85,81,84
HSCT/FCAT practice
1. Draw a multiple bar graph for the following table:
a) What data should you use on the horizontal axis?
b) What data should you use on the vertical axis?
c) What data should you use in the key?
Population of the Three Largest U. S. Cities (rounded to the nearest hundred thousand) |
City
1970
1980
1990
New York
7,900,000 7,100,000 7,300,000 Los Angeles
2,800,000 3,000,000 3,500,000 Chicago
3,400,000 3,000,000 2,800,000 Source: Bureau of the Census, U.S. Dept. of Commerce
2. Which cities showed a decrease in population between 1970 and 1980?
3. What city showed both a decrease and an increase?
HSCT/FCAT practice
1. Draw a double line graph for the table:
a) What scale should you use for the horizontal axis?
b) What scale should you use for the vertical axis?
c) What information should you put in the key?
Life Expectancy
Source: National Center for Health Statistics
Year Male Female 1940 60.8 65.2 1950 65.6 71.1 1960 66.6 73.1 1970 67.1 74.7 1980 70.0 77.5 1990 71.8 78.8
2. Which group's life expectancy has increased more, males or females?
3. What do you predict will be the life expectancy for a girl born in 2000? A boy?
Would you expect a positive correlation, a negative correlation, or no correlation between the two data sets? Why?
1. a person's age vs. the number of pets
2. the number of times you brush your teeth versus the number of cavities
3. number of days a year it rains vs. number of umbrellas sold
Classify the data as continuous or discrete. Explain your reasoning.
4. your body temperature over a 24 hour period
5. daily movie attendance for a week
Sketch a graph to describe the following. Explain the activity in each section of the graph.6. your elevation above sea level as you hike the mountains
7. your speed as you travel from home to school
1. Cleopatra was 39 years old when she died in 30 B.C. In what year was Cleopatra born?
2. Graph {6, 3, 8, 2} on a number line.
3. Graph {1/2, 2/3,1/6, 3/8} on a number line.
4. By how many degrees Fahrenheit do the freezing point and boiling point of water differ?
5. By how many degrees Celsius do the freezing point and boiling point of water differ?
HSCT/FCAT practice
6. A fly is slipping down the inside of a glass that is partly full of water. The distance from the lip of the glass to the water line is 7 cm. The fly slips down 3 cm., climbs back up 1 cm., slips down 3 cm., and so on. If it keeps slipping at this rate, how many times will it slip down before reaching the water?
a) once
b) twice
c) three times
d) four times
1. Graph (5,-1, 0, -7} on a number line.
2. Graph (-1.5, -2, -1/2, -2.5, 1/2} on a number line.
Simplify
3. | 4 | - | -2 |4. | -3 | + | -1 |
5. Evaluate | x | - 3 if x = -3HSCT/FCAT practice
6. Leona borrowed $23 from her brother, $15 from her boyfriend, and $32 from her grandmother in order to buy a new stereo. She also has started a new part-time job which pays $70 per week (after taxes). How many weeks must she work in order to buy a stereo priced at $295?
a) one week
b) two weeks
c) three weeks
d) four weeks
Find each sum or difference.
1. 18 - 25
2. -6 + 29
3. 9 + (-24)
4. (-18) + (-47)
Evaluate each expression if b = - 4, j = 2, and n = - 7.
5. b + 12
6. j - n
7. - | b + (-9) |
HSCT/FCAT practice
8. The longest disco-dancing marathon began on January 18, 1982, and was 371 hours long. If the dancing began at 9 a.m. on January 18, on what date did the marathon end?
Day 14
Find a) the sum, and b) the difference of each pair of matrices.
| 1. |
|
2. |
|
3. 15x + (-22x) + 2x
4. -2x - 6x + (-5x)
HSCT/FCAT practice
5. What is the sum of the number of corners, the number of edges, and the number of faces on a cube?
Write the fractions in order from least to greatest.
1. 3/5 , 4/7 , 5/11
2. -1/2 , -3/7 , -5/4
Find a rational number between the given numbers
3. 1/2 , 6/7
4. -3/4 , -5/6
HSCT/FCAT practice
5. The diameter of a tennis ball is 2 1/2 inches. How many tennis balls will fit in a can 2 1/2 inches in diameter and a foot long?
6. A Ping-Pong ball weighs about 1/10 of an ounce. How many Ping-Pong balls together weigh 1 pound?
Simplify
1. -3/4 + 7/12
2. 1/3 - 2/5
3. 9.16 + (-10.17)
4. k - (-5.8) if k = 6.3
5. -23/3 - 21/5
HSCT/FCAT practice
| 6. In 1998, U.S. athlete Jackie Joyner-Kersee jumped 22 feet, 3 1/2 inches. In 1992, German athlete Helke Dreschler jumped 23 feet, 5 1/4 inches. How much longer was Dreschler's jump? |
Simplify
| 1. |
|
2. |
|
| 3. | -4( x + 5) |
5. |
|
Evaluate each expression of x = -3 and y = 4
5. 2xy + 4x
6. x2 + y2
HSCT/FCAT practice
7. A recipe for 12 pancakes calls for 2 1/2 cups of flour and 3 cups of milk. If Freddie Flapjack plans to make 36 pancakes for is large family, how many cups of flour will he need?
a) 9
b) 7 1/2
c) 6
d) 5 1/2
Simplify
1. -35 + -252. 0 - (-15)
3. (-70)(-10)
4. 56/-7
HSCT/FCAT practice
5. Use the formula C = 5/9 (F - 32) to change from the Fahrenheit to the Celsius scale. What is 14� F in Celsius?
6. Use the formula F = 9/5C + 32 to change from the Celsius to the Fahrenheit scale. What is -7� C in Fahrenheit?
Simplify
1.
2. (0.1)(-1.1)(-0.01)
3. 22/3 / (-8)
4. 31/10 + 5 1/12
5. -1/7 (14x -35)
HSCT/FCAT practice
6. A the correct time on May 1 at 1:00 p.m. The clock loses 20 minuets a day what will be the next date when this clock shows the correct date?