Math problems can be difficult to solve, but try some of these challenging word arithmetic
problems to sharpen your skills.
1] In miles per hour what is the average rate of a car traveling one way at
20 mph and traveling back the same distance at 40 mph?
(a) 30mph (b) 35 mph (c) 50mph (d) 26.67 (e) cannot be determined without distance
2] If Thomas is half as old as Alice was when Alice was five years older than
Thomas is now. How old is Thomas?
3] In thirty seconds or less can you tell ( without using a calculator) if 343 x 346
is less than 344 x 345?
4] If A = 300 percent of B, what percent of A is B?
5] A test was given to 60 students and graded on a scale of 0 to 100.
Only 21 scored 80 or better. What is the smallest possible average of
the students as a group?
6] If a, b, and c are consecutive positive even integers, whose sum is
72, what is C?
7] If Bill is the fiftieth fastest and the 50th slowest student runner in his
school. Assuming no children run at the same speed, how many children
are at Bill's school?
8] What is the next number in the following sequence : 4, 9,16, 25, 36, 49 _?
9] Suppose you can only purchase candy bars in packages of 6, 9, and 20.
What is the greatest number of candy bars you cannot purchase?
10] What is the sum of the digits between 1 and 49?
11] Find a four digit number such that the first digit is one-third of the
second digit, the third is the sum of the first and second, and the fourth
is three times the second.
12] Fifty times fifty times fifty ( or 50x50 100 times) is how many times
100 x 100 x 100 ( fifty times) ?
(a) 2 x 2x 2 (100 times) (b)25 x 25 x 25 (50 times) (c) 1 times
(d) different answer
13] A local bakery has to make pies for the county fair . At 8am
this morning Chef Fred has made some pies and places 8 on
each shelf in the pantry. Chef Jim comes in at noon and bakes
more pies, he then takes his pies and makes three additional
shelves, taking this mornings pies and redistributing them evenly
on the shelves so that each shelf now has 5 pies.
How many pies were made for the fair?
14] Two brothers' ages when added total 91. If one brother is now
twice as old as the other brother was when he was as old as his
brother is now. How old is each brother?
15] A typist increased her speed from 25 wpm to40 wpm, what is the
percent of her increase?
16] Of the integers between 10 and 100 how many are exactly divisible
17] The difference between the smallest and largest two-digit even
integers, divisible by four is?
18] A certain classroom has exactly three times as many boys as girls.
What is the total combined number of kids in the classroom?
19] Bob is three times as old as Ralph. Three years ago Ralph was one
year older than June. If Jim is twice as old as Ralph, List in descending
order the age rank of these four people.
20] What is the next whole number greater than 95,555 where four of the digits
are the same?