All ISEE Lower Level Math Resources
Example Questions
Example Question #11 : How To Find The Part From The Whole
Which of the following is not a multiple of 8?
A multiple is a number that can be divided by another number (in this case 8) without a remainder. All of the answer choices can be divided by 8 without a remainder exept for the number 20 (which leaves a remainder of 4); therefore, 20 is not a multiple of 8.
Example Question #11 : How To Find The Part From The Whole
Which of the following is not a factor of 24?
Factors are numbers that can be multiplied together to create another number. 3, 4, 8, and 12 are all factors of 24.
There is no number that multiply by 7 to result in 24; therefore, 7 is not a factor of 24.
Example Question #41 : Whole And Part
Brett and Bob love to ski. They planned on a 5 day ski trip together, but Brett decided to stay 40% longer than they had originally planned. How many extra days did Brett stay?
If Bob and Brett planned a 5 day ski trip, then 2 days would make the trip 40 percent longer.
This is because 2 extra days out of 5 is equal to . The percent equivalent of .4 is 40 percent. Therefore, 2 is the correct answer.
Example Question #42 : Whole And Part
If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother and one fifth of the remaining cookies to her father, how many cookies remain?
If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother, then 10 cookies remain. She gives one fifth of them, or 2 cookies, to her father.
Therefore, 8 cookies remain.
Example Question #43 : Whole And Part
If Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, what percentage of the video has she watched?
Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, which can also be written as 6.5 minutes of a video that is 65 minutes long.
Given that , Rebecca has watched 10% of the video.
Example Question #44 : Whole And Part
In a barrel there are apples. If there are
red apples for every
green apples, how many of the apples in the barrel are green?
If there is a group of green apples for every group of
red apples, then in every group of
apples there will be
green ones and
red ones. (
). How many groups of
apples are there in a barrel containing
apples?
divided by
is
, so there are
groups of
apples. In each group of
apples, there is a smaller group of
green apples, so there are
groups of
green apples each.
, so there are
green apples in a barrel of
apples.
Alternatively, one could say that since there are green apples in every group of
apples, the fraction of green apples in the barrel is
. To find
of
, multiply
and
together.
is
, so there are
green apples in the barrel.
Example Question #44 : Whole And Part
Each of the points on the line above is the same distance from the next. If the distance between point A and point F is inches, what is the distance between point A and point C?
inches
inches
inches
inches
inches
inches
There are five segments of line between points A and F. divided by
is
, so each line segment is
inches long. There are
line segments between points A and C.
line segments
inches each
inches, so
inches is the correct answer.
Alternatively, since there are line segments between points A and F and
line segments between points A and C, line AC is
of the total line AF. To find
of
, multiply
and
.
, so the correct answer is
inches.
Example Question #45 : Whole And Part
There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
We need to find the portion of screens from the whole.
First, we need to convert our percent to a decimal:
Next, multiply the total number by our new-found decimal
So our answer is 490
Example Question #21 : How To Find The Part From The Whole
What is of
?
To find a fraction of a whole, we simply multiply the fraction by the whole number. So,
Therefore, of
is
.
Example Question #47 : Whole And Part
You and a friend buy a pizza. The pizza has 8 slices. You each eat of the pizza. How many slices do you eat?
To solve this problem, we will find the fraction of the whole number. We know you ate or half of the pizza. We know the pizza has 8 slices. So, to find the fraction of the whole number, we will multiply the fraction by the whole number. So,
Therefore, you ate slices of pizza.
All ISEE Lower Level Math Resources
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