Statistics
During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average(arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?
87
How many of the following four numbers are prime?
2, 20, 202, 2020
1
Miguel solves six Olympiad problems every day and Lazaro solves four Olympiad problems every day. How many days does it take Lazaro to solve the same number of problems as Miguel solves in four days?
6
This 3D shape has 6 faces, all of which are rectangles. What is it?
Rectangular prism (cube)
Solve the equation
12x+7=7x+32
5
What number is 108 more than two-thirds of itself?
324
125% of 5
6.25
If 2x + y = 7 and x + 2y = 5, then (x+y)/3
4/3
If two angles add up to 90 degrees, they are called this.
Complementary
|x+3|=7
Find the positive solution
4
How many four-digit numbers have the property that their digits, from left to right, are consecutive and in ascending order?
6
City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z ?
8:1
If (1 – 1.25)N = 1, then N =
-4
This type of triangle has two equal sides and two equal angles.
Isosceles
Kanga wants to multiply three diferent numbers from the following list: -5, -3, -1, 2, 4, and 6. What is the smallest result she could obtain?
-120
During a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures?
27
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $150, by what percent is the price to be reduced?
30%
While a family was away on vacation, they paid a neighborhood boy $11 per week to mow their lawn and $4 per day to feed and walk their dog. If the family was away for exactly 3 weeks, how much did they pay the boy for his services?
117
The distance around a circle is called this, and it can be found using the formula C=πd
Name of this distance ?
Circunference
Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x ?
16
If 1 < x < y < z, which of the following has the greatest value?
A. z (x + 1)
B. z (y + 1)
C. x (y + z)
D. y (x + z)
E. z (x + y)
E
Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week. What commission would the salesperson receive on total sales for the week of $1,300 ?
$235
List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T ?
12
Two bases of the trapezium 6 cm and 8 cm, and height of the trapexium is 7 cm.
Find the area in mm2 ?
4900 mm2
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?
5