Number Patterns
Divisibility
Geometry & Measurements
Trains, Books, Clocks & Things
100
Write the next three terms of the following sequence:
3, 7, 11, 15, 19, ....
23, 27, 31
100
If a certain number is divisible by 2, list all the possible units digit that number can have.
0, 2, 4, 6, or 8
100
What is the total number of rectangles in this figure?
6
100
A man left his home and drove along a certain road at 48 km/hr. One hour later, his son left the same home and drove along the same road in the same direction at 72 km/hr. How many hours does the son need to overtake his father?
2 hours.
200
Consider the arithmetic sequence 2, 7, 12, 17, 22, ... Which term of the sequence is 102?
21st term
200
Determine if the difference of 210-49 is divisible by 7. Show your work.
Yes. 210-49 = 7 x 30 - 7 x 7
200
What is the total number of rectangles in this figure?
10
200
How many times each day do both hands satisfy the following condition?
Both hands lie directly opposite each other.
22 times
300
If the 1st day of a certain year is a Friday, what day of the week is February 19th of that same year?
Friday
300
The pages of a certain book are numbered consecutively from 1 to 500. How many page numbers contain the digit 5 and are also divisible by 5?
56
300
Each box is a square in the following diagram. What is the total number of squares in this figure?
20
300
A book is opened and the product of the two facing page numbers that appear is 1190. What are the two page numbers?
34 and 35
400
Find the sum of all the counting numbers inclusive from 1 through 50.
1275
400
The pages of a certain book are numbered consecutively from 1 to 500. How many page numbers contain the digit 5 and are not divisible by 5?
40
400
What is the total number of triangles in this figure? 
27
400
It takes three minutes to fill a tub to the top and four minutes to drain the full tub. If the faucet and the drain are both open, how long will it take to fill the tub?
12 minutes
500
Last night there was a party, and the host's doorbell rang 20 times. The first time the door bell rang, only one guest arrived. Each time the doorbell rang after that, two more guests arrived than had arrived on the previous ring. How many guests in all arrived at the party?
400 guests
500
The pages of a certain book are numbered consecutively from 1 to 500. How many page numbers do not contain the digit 5 and are divisible by 5?
44
500
A certain brand of garden fencing is sold in cartons of 24 one-foot sections. What is the area of the largest rectangular garden you can enclose if you buy one carton of fencing?
36 ft2
500
Six people are introduced to each other, and each person shakes hands with each of the others exactly once. How many handshakes are exchanged altogether?
15