Example Question #1 : Computation
Five chocolate baklavas cost sixty-eight dollars. How much would fifteen chocolate baklavas cost?
To answer this question you could have simply multiplied 68 by 3 and gotten 204. Or, to do this question even quicker, you could have looked at the last digits. Knowing that 3 multiplied by 8 is 4, you would know that the final digit of the answer would be four, and the only answer that ended with a 4 was the correct answer, 204 dollars.
Example Question #2 : Computation
The marketing team budgeted $1,756 for raises this year. Thus far they have given out $428. How much of the money budgeted for raises remains?
This question calls for simple arithmetic. One must simply subtract 1756 from 428. One can see this answer quickly by recognizing that the correct answer will end with the digits 28 (56 minus 28 is 28).
Example Question #3 : Computation
A small pile of loose pencil shavings was assessed as having a value of $4500, the three close friends (Julio, DeMare, and Aiko) who found the pile of pencil shavings decided to divide the money based on how much of the shavings blew, as chance and the breath of the wind had dictated, onto the legs of their pants. 10% of the shavings wound up on Aiko's pants, 15% on Julio's, and 75% on DeMare's. How much more money did DeMare take than Aiko?
75% of 4500 is 3375, so DeMare made $3375 from the pencil shavings. Aiko only made $450. All you have to do now is subtract 450 from 3375.
Example Question #4 : Computation
Which is equal to the radius of a circle with area ?
The formula for the area of a circle, given its radius , is . Replace with :
To find the radius , first, divide both sides by :
Now, find the square root of both sides. Since , 11 is the square root of 121, so
The radius of the given circle is 11.
Example Question #5 : Computation
Andy, Sandy, and Mandy go in on a pizza. The total cost of the pizza is $14. Andy contributes half the cost, and Sandy contributes $3. What will Mandy contribute?
Andy contributes half the cost of the pizza. The pizza costs $14.00, so his share of the cost is
that is, $7.00.
Sandy contributes $3.00, leaving Mandy to contribute
that is, $4.00.
Example Question #6 : Computation
To square a number means to multiply it by itself, so we seek to compute
To multiply two decimal fractions, first multiply, ignoring the decimal points:
Move the (implied) decimal point the number of spaces right equal to the total number of digits right of the decimal points in the factors; this can be seen to be two:
The product is 0.49.
Example Question #7 : Computation
The first 40 miles of a 100-mile trip took one hour; the whole trip took two hours and fifteen minutes. To the nearest whole, what was the average speed during the remaining 60 miles of the trip?
75 miles per hour
48 miles per hour
60 miles per hour
54 miles per hour
36 miles per hour
48 miles per hour
The average speed during a trip of miles over a period of hours is miles per hour. Here, the distance driven is 60 miles; the time it took was two hours and fifteen minutes total minus the hour for the first 40 miles, which is one hour and fifteen minutes. Since fifteen minutes is equal to
hours, we get
Therefore, the average speed traveled during the second part of the trip is
miles per hour.
Example Question #8 : Computation
In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:
Addition and subtraction have equal precedence and are worked in left-to-right order. Add 120 and 12 next:
the correct response.
Example Question #9 : Computation
A square has perimeter 20 feet. Give its area.
5 square feet
25 square feet
80 square feet
400 square feet
20 square feet
25 square feet
The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 20 feet, then each side has length
The area of the square is equal to the length of a side multiplied by itself, so the area of this square is