Numbers and Operations
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ISEE Middle Level Quantitative Reasoning › Numbers and Operations
Which of the following numbers yields a remainder of 7 when divided by 9?
Explanation
We can test each of the numbers in tun by dividing each by 9:
106 is the correct choice.
Which is the greater quantity?
(a)
(b)
(a) is greater
(b) is greater
(a) and (b) are equal
It is impossible to tell from the information given
Explanation
Subtract both sides of the two equations:
Since , then
Explanation
Multiply the numerators then denominators:
Answer:
A baker used of a package of sprinkles and
of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?
Explanation
The phrase, "how much more" tells as that we want to find the difference, so we subtract.

Which is the greater quantity?
(a)
(b)
(a) is greater
(b) is greater
(a) and (b) are equal
It is impossible to tell from the information given
Explanation
Divide 7 by 11:
150% of what number is 9,000?
Explanation
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:
What is the decimal equivalent to ?
Explanation
To solve, divide the numerator (top half of the fraction) by the denominator (bottom half of the fraction):
Answer:
Which is the greater quantity?
(a)
(b)
(b) is greater
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
Explanation
Divide 3 by 13:
Subtract:
Explanation
Subtract the numerators and leave the denominators the same:
Answer:
Column A Column B
The quantity in Column B is greater.
The quantity in Column A is greater.
The quantities in each column are equal.
There is no way to determine the relationship between the quantities in the columns.
Explanation
First, you must add the fractions in each column. When adding fractions, find the common denominator. The common denominator for Column A is 10. Then, change the numerators to reflect changing the denominators to give you . Combie the numerators to give you
Then, add the fractions in Column B. The common denominator for those fractions is 72. Therefore, you get
. Combine the numerators to get
. Compare those two fractions. Think of them as slices of pizza. There would be way more of Column B. Therefore, it is greater. Also, a little to trick to comparing fractions is cross-multiply. The side that has the biggest product is the greatest.