ISEE Lower Level Math : Numbers and Operations

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #341 : Numbers And Operations

Evaluate: 

\(\displaystyle -20+-15\div5\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle -23\)

\(\displaystyle -\frac{3}{5}\)

\(\displaystyle -1\)

\(\displaystyle -8\)

Correct answer:

\(\displaystyle -23\)

Explanation:

To correctly evaluate this problem, apply the standard orders of operations rules. Therefore, you must first divide: 

\(\displaystyle -\frac{15}{5}=-3\)

Then find the sum of: 

\(\displaystyle -20+-3=-23\)

Example Question #22 : How To Subtract

Simplify:

\(\displaystyle -3(3x-9)-5\)

Possible Answers:

\(\displaystyle -9x+22\)

\(\displaystyle 3x^2-13\)

\(\displaystyle 3x+21\)

\(\displaystyle 9x-13\)

\(\displaystyle -9x-13\)

Correct answer:

\(\displaystyle -9x+22\)

Explanation:

To solve this problem first apply the distributive property then combine the like terms:

\(\displaystyle -3(3x-9)-5=-9x+27-5=-9x+22\)

Example Question #343 : Numbers And Operations

Cara had \(\displaystyle \$15\) prior to going to the store. After Cara went shopping she only had \(\displaystyle \$3.75\) left over. How much money did Cara spend at the store?  

Possible Answers:

\(\displaystyle \$7.50\)

\(\displaystyle \$7.25\)

\(\displaystyle \$11.25\)

\(\displaystyle \$8.75\)

\(\displaystyle \$11.75\)

Correct answer:

\(\displaystyle \$11.25\)

Explanation:

To determine how much money Cara spent at the store, find the difference between the amount of money she started with and the amount of money she had after shopping. 

Thus, the solution is: 

\(\displaystyle 15-3.75=11.25\)

Example Question #14 : Addition And Subtraction With Money

If Betty has \(\displaystyle \$34.56\) in her wallet and buys a sandwich that costs \(\displaystyle \$8.46\), how much money will she have left in her wallet, in dollars?

Possible Answers:

\(\displaystyle \$26.10\)

\(\displaystyle \$56.16\)

\(\displaystyle \$26.00\)

\(\displaystyle \$46.16\)

Correct answer:

\(\displaystyle \$26.10\)

Explanation:

If Betty has \(\displaystyle \$34.56\) in her wallet and buys a sandwich that costs \(\displaystyle \$8.46\), the best way to determine how much money is left in her wallet is to subtract \(\displaystyle \$8.46\) from \(\displaystyle \$34.56\)

An easy way to do this is to first subtract \(\displaystyle 34\) and \(\displaystyle 8\). This results in: \(\displaystyle 34-8=26\)

Next, \(\displaystyle 0.46\) should be subtracted from \(\displaystyle 0.56\). This results in: \(\displaystyle 0.56-0.46=.10\)

\(\displaystyle 26+.10=26.10\)

Therefore, Betty will have \(\displaystyle \$26.10\) left in her wallet. 

Example Question #341 : Numbers And Operations

\(\displaystyle 37-12=?\)

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 27\)

\(\displaystyle 49\)

\(\displaystyle 25\)

\(\displaystyle 35\)

Correct answer:

\(\displaystyle 25\)

Explanation:

First you subtract the values in the ones place, 

\(\displaystyle 7-2=5\).  

Then you subtract the tens values, 

\(\displaystyle 30-10=20\).  

Put those two together and you get your answer of \(\displaystyle 25\).

Example Question #342 : Numbers And Operations

Lisa is shopping for a jacket that costs $50. At one store, the jacket is $50 but is 10 percent off. At another store, the jacket is 5 percent off. At another store, the jacket is $10 off.  Which of the following has the best deal for the jacket?

Possible Answers:

The store with 10 percent off or $10 off

The store with 10 percent off

The store with $10 off

The store with 5 percent off

Correct answer:

The store with $10 off

Explanation:

10 percent off means a discount of $5 and a final price of $45. 

$10 off means a final price of $40. 

5 percent off means a discount of $2.50 and a final price of $47.50.

Thus, $10 off is the best deal.  

 

Example Question #1 : How To Add

Thomas rides the bus to school each morning. If the bus picks Thomas up at a quarter before eight, and it takes half an hour to get to school, what time will Thomas arrive at school?

Possible Answers:

half past 9

a quarter before 9

8 o'clock

half past 8

a quarter after 8

Correct answer:

a quarter after 8

Explanation:

The phrase 'a quarter before' indicates that the time is 15 minutes before the hour. 

The bus picks Thomas up at

"a quarter before 8"

which translates to 15 minutes before 8 o'clock, or

7:45 AM.

Because it takes half an hour, or

30 minutes

to get to school, Thomas will arrive at school 30 minutes after 7:45 AM.

7:45 AM + 30 minutes =

8:15 AM

'a quarter after' indicates that the time is 15 minutes after the hour, so 8:15 can be read as 

a quarter after 8.

Note that there are 60 minutes in one hour.

Example Question #2 : How To Add

Approximately how much will John need to pay if a pair of shoes cost $42.64, a pair of pants costs $37.99, and a shirt costs $21.34.

Possible Answers:

$90

$80

$110

$100

$120

Correct answer:

$100

Explanation:

The key word, "approximately," indicates that we must round each of these values. Let's round to the nearest tens place because each of our answer choices is rounded to the tens place.

Shoes cost $42.64. 

$42.64 rounded (down) to the nearest tens place is $40.

Pants cost $37.99.

$37.99 rounded (up) to the nearest tens place is $40.

A shirt costs $21.34.

$21.34 rounded (down) to the nearest tens place is $20.

Let's add up our estimated prices.

$40 + $40 + $20 =

$100.

Example Question #341 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Evaluate: \(\displaystyle -34 + 87 + (-63)\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle -58\)

\(\displaystyle 58\)

\(\displaystyle 0\)

\(\displaystyle -10\)

Correct answer:

\(\displaystyle -10\)

Explanation:

Add the first two numbers as follows:

\(\displaystyle -34 + 87 = +(87-34) = 53\)

Now add this sum to the third number as follows:

\(\displaystyle 53+ (-63) = -(63-53) = -10\)

Example Question #2 : How To Add

Evaluate: \(\displaystyle -34 + 67 + (-23)\)

Possible Answers:

\(\displaystyle -91\)

\(\displaystyle 91\)

\(\displaystyle 78\)

\(\displaystyle -78\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

Add the first two numbers as follows:

\(\displaystyle -34 + 67 = +(67-34) = 33\)

Now add this sum to the third number as follows:

\(\displaystyle -34 + 67 + (-23) = 33 + (-23) = +(33-23) = 10\)

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