SSAT Upper Level Math : Number Concepts and Operations
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #102 : Arithmetic
Bill decides to donate 15% of his $4000 and Ted decides to donate 25% of his $8000. What percentage of their combined fortunes do Bill and Ted donate?
23.1%
21.7%
20%
19.2%
22.3%
21.7%
This is a simple problem, so long as you don't forget that Bill and Ted have different amounts of money, so you can't simply average 15% and 25% to get 20%.
Calculate how much each donates:
4000(.15)= 600
8000(.25)= 2000
Now divide the total donation by their total wealth:
Now multiply this answer by 100, and then round to the nearest tenth to get 21.7%.
Example Question #14 : Word Problems
Joe drove an average of 45 miles per hour along a 60-mile stretch of highway, then an average of 60 miles per hour along a 30-mile stretch of highway. What was his average speed, to the nearest mile per hour?
At 45 mph, Joe drove 60 miles in 
At 60 mph, he drove 30 miles in 
He made the 90-mile trip in 
Example Question #1 : Basic Addition, Subtraction, Multiplication And Division
What is the sum of the two percentages in decimal form?
7 percent and 135 percent
You add the percentages and you get 142 percent. To convert a percent to a decimal, you divide by 100, so the answer is 1.42.
Example Question #11 : Number Concepts And Operations
Do the expression in the parantheses and you get 
Example Question #1 : How To Add And Subtract Decimals
If Susie bought a pair of shoes for 
You add all three values and you get 
Example Question #3 : Basic Addition, Subtraction, Multiplication And Division
First, convert 
Now add the three numbers, being careful to line the decimal points up exactly. From right to left we will add:
1) 4 and 5 = 9
2) 5, 2, and 2 = 9
3) 2 is alone = 2
This leaves us with 2.99 for the final answer.
Example Question #3 : How To Add
Eight
Five
Seven
Four
Six
Five
Their sum can be any of the following:
This makes five possible sums.
Example Question #4 : Basic Addition, Subtraction, Multiplication And Division
To find the greatest possible value of 
Example Question #2 : Algebra
In a math contest, the team from Lincoln High comprised five students - Melanie, Ned, Olivia, Phyllis, and Quinn. Melanie outscored Ned by 12 points; Ned outscored Quinn by 19 points; Phyllis outscored Ned by 45 points and Olivia by 20 points. Who came in third among the five?
Quinn
Ned
Phyllis
Melanie
Olivia
Melanie
Since this reasoning is valid regardless of the actual scores, suppose Quinn scored 100. Then Ned scored 19 more than Quinn, or 119, and Melanie scored 12 more than Ned, or 131. Phyllis scored 45 more than Ned, or 164, and Olivia scored 20 points fewer than Phyllis, or 144. This makes the order, from greatest to least:
Phyllis, Olivia, Melanie, Ned, Quinn
Melanie scored third among the five.
Example Question #16 : Number Concepts And Operations
Which of the following angles is supplementary to an angle that is 45 degrees?
Supplementary angles add up to 180 degrees. Given that 
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