Problem Solving and Real Numbers
Operations with Integers and Rationals
Percentages
Perimeter, Area, Volume and Surface Area
Probability and Odds
100
Step 1 Understanding the Problem Step 2 Plan the Solution Step 3 Solve the Problem Step 4 Check the Solution
What is the Four-Step Problem-Solving Plan
100
Find the following... (a) -11 + (-4) (b) 18 - 33 (c) -15 + 21
What is ... (a) -15 (b) -15 (c) 6
100
Convert the following to fractions (a) 79% (b) 107% (c) 0.5%
What is (a) 79/100 (b) 107/100 or 1 7/100 (c) 5/1000 or 1/200
100
(a) Find the perimeter of a square with a side length of 7 cm. (b) Find the circumference of a circle with diameter 15 cm.
(a) What is (4)(7) = 28 cm (b) What is 47.1 cm
100
Number of Favorable Outcomes divided by the total possible number of outcomes. Favorable/Total Possible
What is the Probability of an event
200
Identify these sets of numbers... a. {1, 2, 3, ...} b. {0, 1, 2, 3, ...} c. {..., -3, -2, -1, 0, 1, 2, 3, ...}
What are the Natural Numbers (a), the Whole Numbers (b), and the Integers (c).
200
Answer the following: (a) 3/5 + 1/5 (b) 4/9 - 7/9 (c) 3/8 - 1/3 (d) 2/5 - 3/4
What is ... (a) 4/5 (b) -3/9 (c) 1/24 (d) -7/20
200
Convert the following decimals to percents (a) .12 (b) 1.4 (c) 5
What is (a) 12% (b) 140% (c) 500%
200
Find the area of the following... (a) a parallelogram with a base of 11 ft and a height of 9 ft. (b) a triangle with a base of 12 mm and a height of 5 mm. (c) a circle with a diameter of 6 cm.
What is ... (a) 99 sq. ft. (b) 30 sq. mm (c) 28.3 sq. cm
200
The ratio that compares the number of ways an event can occur (successes) to the number of ways the event can not occur (failures)
What is the Odds of an event occuring.
300
One of two equal factors of a number. (Ex. (3)(3) = 9, what is the (3) called?)
What is the Square Root
300
Solve... (a) 7/16 +(-3/8) (b) -32.35 - (-42.5)
What is ... (a) 1/16 (b) 10.25
300
40% of 30 is what number...
What is 12.
300
What is the volume of the following... (a) a rectangular prism with length 4ft., width 2 ft, and a height of 3 ft. (b) a right cylinder with a radius of 3 in., and a height of 6 in.
What is ... (a) 24 cubic ft. (b) 169.6 cubic in.
300
A cup contains 5 Red chips 7 Blue chips 6 Yellow chips 10 Green chips What is the probability of ... (a) P(blue) (b) P(red or yellow) (c) P(not green)
What is ... (a) 1/4 which is 25% (b) 11/28 or approximately .39 which is 39% (c) 9/14 or approximately .64 which is 64%
400
Name all sets of numbers for each of the following: (a) 5/22 (b) √(81) (sqrt(81)) (c) √(56) (sqrt(56))
What is ... (a) Rational Number (b) Natural, Whole, Integer, and Rational (c) Irrational
400
Products... (a) 2/5 * 1/3 (b) 3/5 * 1 1/2 (c) (-3/4)(3/8)
What is ... (a) 2/15 (b) 9/10 (c) 9/32
400
67.5 is 75% of what number
What is 90.
400
Find the surface area of a rectangular prism having the dimensions.... length 3 m, width 1 m, and height 5 m.
What is .. 46 square m
400
The odds of rolling a number less than 3 from a single die.
What is 1:2 or 1/2
500
Order the following numbers on a number line. (a) 5/3, -4/3, 2/3, and -1/3 (b) √20, 4.7, 12/3, 4 1/3
What is ... (a) -4/3, -1/3, 2/3, and 5/3 (b) 12/3, 4 1/3, √20, and 4.7
500
Find each Quotient.. (a) 1/3 ÷ 1/2 (b) 3/4 ÷ 2 1/2 (c) -1/5 ÷ (-3/10)
What is .... (a) 2/3 (b) 3/10 (c) 2/3
500
Kelsey took a survey of students in her lunch period. 42 out of the 70 students surveyed said their family had a pet. What percent of the students had pets...
What is 60%.
500
Find the surface area of a right cylinder having dimensions... radius of 3 cm, and a height of 8 cm.
What is ... 207.3 square cm
500
An ice cream shop offers 12 flavors of ice cream... Scoops: one, two, or three scoops It can be served in a: wafer cone, sugar cone, or in a cup. What are the total number of possible choices a person could choose from when buying ice cream.
What is 3 * 12 * 3 = 108
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