ISEE Middle Level Quantitative : Numbers and Operations
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Example Questions
Example Question #14 : Ratio And Proportion
Isidore could buy 
For this problem, set up a proportion:
To solve this, multiply both sides by 
Example Question #211 : Numbers And Operations
Refer to the above diagram. How many squares should be shaded in if it is desired that the fraction of the squares that are shaded in should be equivalent to the fraction of the circles that are shaded in?
There are four circles, three of which are shaded; there are eight squares. If we let 
Example Question #211 : Numbers And Operations
Which is the greater quantity?
(a)
(b)
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which quantity is the greater from the information given
(a) is the greater quantity
From a property of proportions, if 
Example Question #3 : How To Find A Proportion
A witch's brew contains 
To solve this, you need to set up a proportion:
Multiply both sides by 
Simplifying, this gives you:
Example Question #1 : How To Find The Part From The Whole
Harvey bought a suit at a 25% employee discount at the store where he works. The suit originally cost $350.00. How much did he end up paying?
Finding 25% of a number is the same as multiplying it by 0.25; to get the discount, multiply 0.25 by the original purchase price of $350.00
To get the price Harvey paid, subtract the discount from the original price:
Example Question #1 : Whole And Part
Which of the following is true if 
Two expressions are equivalent in modulo 9 arithmetic if and only if, when each is divided by 9, the same remainder is yielded.
so
Example Question #2 : How To Find The Part From The Whole
(a) The remainder if 
(b) The remainder if 
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(a) is the greater quantity
It is impossible to determine which is greater from the information given
The information is insufficient.
For example, if 
This gives the division in (b) the greater remainder.
But if 
This gives the division in (a) the greater remainder.
Example Question #1 : Whole And Part
(a) The remainder if 
(b) The remainder if 
(a) is the greater quantity
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(a) and (b) are equal
Since 
Also,
The two remainders are both equal to 0.
Example Question #2 : How To Find The Part From The Whole
(a) The remainder if
(b) The remainder if 
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(a) is the greater quantity
If 
Example Question #1 : How To Find The Whole From The Part
150% of what number is 9,000?
Taking 150% of a number is the same as multiplying that number by 1.5. We can find our number, therefore, by dividing 9,000 by 1.5:
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