Examples for secondary school students - page 7 of 213
Number of problems found: 4256
- The expression 2
The expression (3+i)(1+2i) can be written in the form a+bi, where a and b are integers. What are the values of a and b? - Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - Fraction or irrational
If you double 1/4 of a certain fraction and multiply it by that fraction, the answer is 1. What is the fraction? - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
- Multiple numerical bases
Find the value of x for which 312four+52x=96ten . Hint: four, x, and ten are the base of the given number. - Decadic logarithm
Log10 30 - log10 3 = X. Find X . - AP Formula
Use the Arithmetic Sequence Formula to find the 120th term of this sequence: 3, 6, 9, 12, 15, 18, ... - A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4).
- The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - Z-score 3
A random variable X has a mean of 4 and a standard deviation of 2. What is the corresponding z-score for x = 7? - A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8? - The probability 2
The probability that an adult possesses a credit card is 0.71. A researcher selects two adults at random. The probability (rounded to three decimal places) that the first adult possesses a credit card and the second adult does not possess a credit card is - Repairs
A small repair shop orders parts for its repairs. Its supplier claims that only 2% of its parts are defective. In order of 500 parts, an employee takes a sample of 100 parts. Determine the likelihood that the employee finds three or more parts are defecti
- 3 sigma
Students' performance scores in a statistic test have a mean of 70 and a standard deviation of 4.0. The scores obtained can be modeled by a normal distribution. Find the probability that the score of a randomly selected student is i. more than 80 marks ii - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Altering sign sequence
Find the nth term of the sequence -1/2, 1/4, - 1/6, 1/8, - 1/10, .... - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i
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