All ISEE Lower Level Math Resources
Example Questions
Example Question #91 : Isee Lower Level (Grades 5 6) Mathematics Achievement
There are 4 canoes at a summer camp. Each canoe can hold a maximum of 6 campers, but each canoe must have an even number of campers in order to maintain balance.
Which of the following is NOT a possible number of campers who could have paddled from one end of the lake to the other using all 4 canoes?
If each canoe requires an even number of campers, then it would have been impossible for 6 campers to have paddled across in all 4 canoes.
This is because if 6 campers used the canoes, 2 campers would have gone the first two canoes, while 1 camper would have gone in each of the 2 remaining canoes. Only having 1 camper per canoe would have been an odd number of campers, causing the canoe to be unbalanced.
6 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 1, Canoe 4 - 1
In order for each canoe to have an even number of campers, there must be a minimum of 8 campers.
If there were 8 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 2
If there were 12 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 6
If there were 14 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 4, Canoe 4 - 6
If there were 20 campers:
Canoe 1 - 4, Canoe 2 - 4, Canoe 3 - 6, Canoe 4 - 6
Example Question #12 : How To Find The Whole From The Part
Greg eats 4 brownies, which is equal to of the total batch. How many brownies are in the total batch?
If b is equal to the number of brownies in the batch, the following equation can be used to determine the value of b:
Given that 4 is twice the value of 2, it follows that b will be twice the value of 17. Therefore, the value of b is 17 mutliplied by 2, which is 34.
Example Question #13 : How To Find The Whole From The Part
There are four tea bags left in a box. If this quantity is 25% of the original, how many tea bags were originally in the box?
We can set up a proportion to solve:
Cross-multiply:
Example Question #14 : How To Find The Whole From The Part
What is the value of the expression below?
To solve the expression, , the key is to reduce it step by step, as shown below:
Example Question #13 : How To Find The Whole From The Part
What is the value of the expression below?
To solve , the expression must be reduced step by step, starting with the parentheses.
Negative 7 and positive 7 cancel each other out.
Therefore, 1 is the correct answer.
Example Question #14 : How To Find The Whole From The Part
If there are 4 servings in an ice cream container, and each serving is equal to 2 ounces, how many ounces are in the entire container?
If an ice cream container has 4 servings and each serving is equal to 2 ounces, the total number of ounces in the container can be found by multiplying 2 by 4.
This results in 8 ounces.
Example Question #15 : How To Find The Whole From The Part
If one-third of a pie is equal to 2 slices, how many slices are in the entire pie?
We know that one-third of the pie is 2 slices. We can set up an equation:
In other words, one-third times the total slices in the pie will be equal to 2 slices.
Multiply both sides of the equation by 3.
The fraction on the left side cancels.
There are a total of 6 slices in the pie.
Example Question #102 : Numbers And Operations
If Gina makes a batch of cookies for her class. The class eats of the cookies, and so remain. How many cookies were in the entire batch?
If the class eats of the cookies and remain, this means that . Therefore, of the batch will be equal to cookies, as is twice the value of , and is twice the value of .
The entire batch of cookies will be equal to .
Thus, is the correct answer.
Example Question #16 : How To Find The Whole From The Part
If Andrew has coins in his wallet that add up to cents, which of the following is a possible combination of coins that he may have?
quarter, dimes, nickels, and pennies
quarter, dimes, nickels, and penny
quarters, dimes, nickels, and pennies
quarter, dimes, nickels, and pennies
quarter, dimes, nickels, and pennies
The first step is to convert the coins into their values in cents.
If we look at the combination of quarter, dimes, nickels, and pennies, the following expression can be used to determine the coins' value in cents:
Therefore, the correct answer is quarter, dimes, nickels, and pennies.
As for the incorrect answers, quarter, dimes, nickels, and penny adds up to cents; quarters, dimes, nickels, and pennies adds up to cents; and quarter, dimes, nickels, and pennies adds up to cents.
Example Question #11 : How To Find The Whole From The Part
If Lisa buys a pair of shoes for , but the sales tax is , what is the total cost of her shoes in dollars?
If the sales tax is , then this means that for every purchase of , an tax will be charged.
Given that the shoes are (half of ), half the sales tax of should be charged, which is a value of .
Since , the shoes will cost after sales tax.
Certified Tutor