All SSAT Middle Level Math Resources
Example Questions
Example Question #22 : Whole And Part
Sweaters are each, but they are on sale: when you buy one, you get one free. Rebecca buys one sweater and gets one free. At checkout, she then presents a coupon for an additional off. What is the average cost of one sweater in dollars (before tax)?
If Rebecca buys a sweater that is part of a buy one, get one free sale, that means that she will get two sweaters for a total of . A off discount will mean that Rebecca will save off of her total because of is .
Therefore, the total she will pay is equal to .
The average price of a sweater will therefore be .
Example Question #24 : How To Find The Part From The Whole
of the students in a classroom of students are boys. of the girls in this classroom wear their hair in pigtails. How many girls wear their hair in pigtails?
If of the students in a classroom of students are boys, that means that students are boys, since . (Alternatively, you could figure this out by realizing that since of is and , of must equal , which is .) If there are boys in the classroom, there must be girls, since .
Given that of the girls wear their hair in pigtails, and of is , it follows that there are girls in the classroom who wear their hair in pigtails.
Example Question #23 : Whole And Part
If the sum of 3 consecutive numbers is 111, what is the value of the middle number?
The sum of . The easiest way to discover the middle number of this set is to divide 111 by 3:
Now that you have the middle number, simply add one to it and subtracy one from it to get your consecutive numbers:
Example Question #61 : Numbers And Operations
3 brothers weigh 80 pounds, 120 pounds, and 135 pounds. The smallest brother gained 15 pounds over the past year, while the largest brother lost 5 pounds. The middle brother's weight did not change. Based on the brothers' new weights, what is their average weight?
If 3 brothers weigh 80 pounds, 120 pounds and 135 pounds, and the smallest brother gained 15 pounds over the past year, while the largest brother lost 5 pounds, the new weights of the brothers are:
95 pounds, 120 pounds, and 130 pounds. (The middle brother's weight did not change.)
Given that the average is found by dividing the sum of the numbers in a list by the number of items in that list, the following equation will be used:
Therefore, the new average is 115 pounds.
Example Question #33 : How To Find The Part From The Whole
If 25 percent of a number is 3, then what would two thirds of the same number be equal to?
If 25 percent of a number is 3, then that means that 100 percent of the number will be equal to 3 times 4, which is 12. Two thirds of the number 12 is 8; therefore, 8 is the correct answer.
Example Question #1061 : Ssat Middle Level Quantitative (Math)
Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles. How many marbles does Amanda have?
6 marbles
7 marbles
5 marbles
4 marbles
5 marbles
Amanda has 3 more marbles than Jason and 5 fewer marbles than Kate. Together, they all have 17 marbles.
To solve this problem, we should experiment by picking a number for Amanda. We can pick the number 4.
If Amanda has 4 marbles, this means that Jason has 1 marble, since Amanda has 3 more. If she has 5 fewer marbles than Kate, that means that Kate must have 9 marbles.
This leaves us with:
Amanda - 4 marbles
Jason - 1 marble
Kate - 9 marbles
This adds up to a total of 14 marbles. However, we know that there are a total of 17 marbles. Thus, each child must have 1 more marble than what is stated above. The correct information would be below:
Amanda - 5 marbles
Jason - 2 marble
Kate - 10 marbles
Here, the sum of the marbles is 17 and Amanda still has 3 more marbles that Jason and 5 fewer marbles that Kate.
Thus, the correct answer is that Amanda has 5 marbles.
Example Question #401 : Numbers And Operations
Stephanie needs to drive miles to meet her family at their vacation home. If she drives at miles per hour, how many hours will it take Stephanie to arrive?
Divide:
Answer: It will take Stephanie hours to arrive.
Example Question #1062 : Ssat Middle Level Quantitative (Math)
Eighteen dollars must be shared among friends. How much money will each friend receive?
Divide:
Answer: Each friend will receive .
Example Question #451 : Number & Operations In Base Ten
Round to the nearest hundredth.
When we round a number to the nearest hundredth we look to the thousandths place to tell us if we round up or down.
If the number in our thousandths place is or greater, we round up. If the number in the thousandths place is or less, we round down. When we round up, the number in the thousandths place increases by and all the other numbers to the right become . When we round down, the number in the thousandths place stays the same and all the other numbers to the right become .
In this case, is greater than so our rounded number is or
Example Question #452 : Number & Operations In Base Ten
Round to the nearest hundredth.
When we round a number to the nearest hundredth we look to the thousandths place to tell us if we round up or down.
If the number in our thousandths place is or greater, we round up. If the number in the thousandths place is or less, we round down. When we round up, the number in the thousandths place increases by and all the other numbers to the right become . When we round down, the number in the thousandths place stays the same and all the other numbers to the right become .
In this case, is less than so our rounded number is or
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