Examples for secondary school students - page 9 of 223
Number of problems found: 4451
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - Third tests
Third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result. - The median 2 Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal.
- A population
A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.
- The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item. - Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - IQ scores
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of the population scores higher than 125 on an IQ test? - The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?
- Drunken drivers
40% of drivers driving between 11 pm and 5 am are drunken drivers. In a random sample of 20 drivers driving between 11 pm and 5 am, find the probability that: A) Exactly 12 will be drunken drivers B) At least 7 will be drunken drivers C) At most 5 will be - Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - Violin and dance lesson
Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts.
- EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - A high
A high school track team's long jump record is 23 feet, 11 3/4 inches. Paul's best long jump is 23 feet and 3 1/2 inches this year. If long jumps are measured to the nearest quarter inch, how much farther must jump to break the record? - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - Value of the note
A 10-month promissory note issued on March 21, 2021, bearing interest of 7.2% p.a., has a maturity value of $4128.02. Find the face value of the note.
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