Adding Eights
Using only addition, add eight 8s to equal the number 1,000.
Where Does the Z Go?
A E F H I K L M N T V W X Y
-------------------------------------------- Z
B C D G J O P Q R S U
The Missing Denominators
If $\dfrac{1}{3} = \dfrac{1}{a} + \dfrac{1}{b}$, find the value of $a$ and $b$.
The Missing Numerators
In the below equation, $a$ and $b$ are whole numbers. Find the values of $a$ and $b$.
$$\dfrac{a}{11} + \dfrac{b}{3} = \dfrac{31}{33}$$The Missing Third
If 20 is added to $\dfrac{1}{3}$ of a number, the result will be double the original number. What is the original number?
The Work Crew
A crew of 3 workers needs 3 weeks and 2 days to complete a project.
Because the workers have no union protections, adding more workers is not expensive. On the other hand, the capitalists are very aware that “time is money”. They hope to make a faster profit by putting more workers on the project.
They offer you a percentage of the increased profit if you can tell them exactly how long it would take a crew of 4 workers to complete the project, each working at the same rate as the original workers.
Counting by Threes
If we count by 3s, starting with 1, the following sequence is created: 1, 4, 7, 10… What is the 100th number in this sequence? What is the easiest/smartest way to figure this out?
Mystery Number
A four-digit numeral, $3AA1$ is divisible by $9$. What digit does the $A$ represent?
So Many Ones!
A book has 500 pages numbered 1, 2, 3, and so on. How many times does the digit 1 appear in the page numbers?
The Largest X and Y
$X$ and $Y$ are any two different numbers selected from the first fifty counting numbers (1 through 50 inclusive). What is the largest value that the following equation can equal?
$$ \dfrac{X + Y}{X - Y} = $$Copyright (c) 2024, Ron Liskey