Number
Operation
Algebra
Geometry and Measurment
Data Analysis and Probability
100
List the number(s) that are rational.
4/290,pi+3, 0.overline43, 0.87/3
What is
4/290, 0.overline43, 0.87/3?
100
Simplify
-4.7 + -2.65
What is -7.35?
100
1 ft = 12 inches
x feet becomes y inches in the following expression:
y = k x. Give the value of k.
What is 12?
(k is the constant of proportionality)
100
The proportional constant that relates the circumference (C) to diameter (d) of a circle.
What is
pi? or
What is 3.141592654....?
100
Student scores: 5, 6, 8, 6, 7
The teacher will drop the lowest score. Give the student's mean score.
What is
27/4 = 6 3/4
200
State the exact decimal representation of the rational number
125/30.
What is
4.1overline6?
200
Simplify.
4^2 * (1/2)^3
What is 2?
200
The line that represents a proportional relationship.
What is "A"?
Note: Lines that show proportional relationships are straight and pass through (0,0).
200
The circumference of a circle with radius 14 inches. Give answer in terms of
pi
What is
28pi?
200
The change in mean when dropping the lowest score: 5, 6, 8, 6, 7
Give the direction of change (increases or decreases) and the amount of change.
What is increases by
abs(32/5 - 27/4) =abs(6.4-6.75) =0.35
?
300
Compare the values using <, > or =.
-34.378, -34.37
What is
-34.378<-34.37
300
Write the arithmetic expression and solve.
On a lake the ice is 3 feet thick and the snow and slush on top of the ice is 1.5 feet thick. What is the level of the water under the ice compared to the lake's snowy surface.
What is
-3 ft + -1.5 ft = -4.5 ft
?
300
Using the grade graphing utility on desmos.com, plot two proportions with different unit rates. For example:
1) y = 2 x, number of y cups of water for x cups of white rice
2) y = 2.5 x, number for y cups of water for x cups of wild rice
What is graphing technology?
[Points given if you can graph two proportions with different unit rates.]
300
The area of a circle with radius 3 mm. Use 3.14 for
pi
.
What is
3^2*3.14 = 28.26 " mm"^2
?
300
In a cloth bag are 12 marbles of unknown colors or proportions. An experiment is done where one marble is removed from the bag, the color is recorded and it is returned to the bag. The process is repeated so that 100 colors have been recorded. Red appeared 56 times, yellow 19 times and blue 25 times. Use proportions to make a prediction about the colors and number of each color of marbles in the bag.
What is 7 red, 2 yellow and 3 blue marbles?
400
List three more equivalent rational numbers. Two equivalent values are given.
.overline3, 9/27
What is
1/3, 2/6, etc?
(Answers may vary, but all must have the same value.)
400
Use the formula for simple interest to calculate the amount (A) earned if a principal amount (P) of $5000 earns 3% interest (r) annually over 10 years (t).
A = P(1+r)^t
What is
A = $5000(1 + .03)^10 =5000(1.03)^10 = $6719.58
?
400
Larry drives 114 miles and uses 5 gallons of gasoline. Sue drives 300 miles and uses 11.5 gallons of gasoline. Sue's car achieved better fuel economy.
State the best fuel economy in miles per gallon.
What is 26 mile per gallon?
(Larry's car achieved 23 miles per gallon. More miles per gallon means better fuel economy.)
400
Draw a picture and find the volume of a cylinder with radius 0.8 m and height 0.2 m. Use 3.14 for
pi
.
What is 0.40 cubic meters?
400
There are 30 students in a classroom. Each is asked how many brothers and sisters they have in their families. State the mean, median and range.
What is a mean of 2.5 siblings, median of 2 siblings, and range of 7 siblings.
500
Plot points DOG on the coordinate plane. D=(-2, 5), O=(0,0), G=(3, -5).
Use coordinate grid and plot the points.
500
A recipe calls for milk, flour and sugar in a ratio of 4:6:3.
The amount of milk and flour needed with 1 cup of sugar.
What is
4/3 or 1 1/3
c. milk and 2 c. flour?
500
There are 2.2 lb in 1 kg. The weight in kg of a 7 lb baby.
What is
7 " lb" *(1/2.2 "kg"/"lb") =(7/2.2) "kg"=3.overline18 " kg"
or
(2.2 "lb")/(1 "kg") = (7 "lb")/(x " kg")
?
500
The surface area of a cylinder 0.2 m tall with radius 0.8 m.
Use 3.14 for pi and round answer to nearest whole number.
What is 5 square meters?
500
Now, the 30 students added themselves into the data on number of siblings. State the effect on mean, median and range.
What is a mean family size of 3.5 children, median of 3 children, and range of 7 children.