Ratios and proportions
The Number System
Geometry
Algebraic Expressions and Equations
Statistics and Probability
100
1. A soccer team played 25 games and won 17. What is the ratio of the number of wins to the number of loses?
17:8
100
1. Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
5 plain shirts, 2 fancy shirts.
100
square has a perimeter of 24 inches. What is the area of the square?
36
100
The puppy Fido weighed 8 pounds when Mrs. Laney first got him. One year later, Fido has put on x pounds. What expression can be written to represent Fido's weight now?
x+8
100
For boys, the average number of absences in the first grade is 15 with a standard deviation of 7; for girls, the average number of absences is 10 with a standard deviation of 6. In a nationwide survey, suppose 100 boys and 50 girls are sampled. What is the probability that the male sample will have at most three more days of absences than the female sample?
0.035
200
2. Express this ratio in simplest form: 1 1/6 : 2 5/6?
7/17, 7:17
200
2. There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
There are 7 pigs, and 6 chickens. 4x7+2x6=40 legs.
200
A square kitchen has an area of 100 square feet. What is the kitchen’s perimeter?
40
200
The county fair is coming to the town. The local farmer has decided to participate again, because his tomatoes always win the largest food contest. It weighed 3 pounds last month, and it has gained x pounds. What expression can be written to represent tomatoes weight now?
x+3
200
Jill is playing cards with her friend when she draws a card from a pack of 20 cards numbered from 1 to 20. What is the probability of drawing a number that is square?
4/20
300
3. The Yankees won 125 games, the Red Sox won 97 games, and the Mets won 86 games. What is the ratio of wins of the Yankees to the Red Sox to the Mets?
125 : 97 : 86
300
3. A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
There are 8 pigs, and 2 ducks. 8x4+2x2=36 legs.
300
The length of a rectangular field is 75 meters. Its width is 15 meters. Sofie ran around the track 3 times. How far did she run?
3375
300
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1500 children and 700 adults
300
A magician showed a magic trick where he picked one card from a standard deck. Determine what the probability is that the card will be a queen card?
4/52
400
4. A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
The students used 4 buses and 3 cars. 4x45+5x3=195 students.
400
Molly and Ted built pens for their dogs. Molly made a pen 12 meters by 8 meters. Ted's pen is 15 meters by 6 meters. Who will need more fencing to build the pen?
Ted
400
Sally had 21 marbles. Her friend gave her some more. She then had 35 marbles. Write an expression that shows how many marbles she had.
B: 21 + x = 35
400
You think of a number from the first twenty negative integers. What is the probability that the integer chosen will be divisible by 4?
5/20
500
5. Mr. Smith and Mr. Kelly are business partners. They agreed to divide the profits in the ratio of 3 : 2. The profit amounted to $24,000. How much did each person receive?
Smith: $14,400 Kelly: $9,600
500
5. A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
5 ducks and 6 goats.
500
The area of square photo is 25 square inches. Angie decided to enlarge the photo by doubling the sides.What will the new area be?
100
500
Which of the following shows this information correctly: Sam bought 3 sacks of potatoes. Each sack had 15 potatoes. He gave one sack to his friend Steve. How many potatoes did Sam have left?
(3 x 15) - 15 = x
500
When a six sided die is rolled then what is the probability that the number rolled will be five?
1/6