Examples for secondary school students - page 6 of 214
Number of problems found: 4262
- False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic - Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - Three em
Find the mean, median, and mode for 31,63,75,75,98
- A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - A company 2
A company invests 51000. After 4 years of growth at the same rate each year, the investment is worth 68920. Find the annual growth rate as a percentage. - Subtract polar forms
Solve the following 5.2∠58° - 1.6∠-40° and give answer in polar form - Complex equation
If c - d = 2 and c = 12 + 7 i, find d. Write the result in the form of a + bi.
- Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - Sarah 4
Sarah and Jamal were learning partners in math class and were working independently. They each started at the point (−2, 5) and moved 3 units vertically in the plane. Each student arrived at a different endpoint. How is this possible? Explain and list the - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Find median
What is the median value in this list? 6/10,1/2,0.9,75%,0.03 - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.
- A Gallup
A Gallup poll investigated whether adults in Mumbai preferred staying at home or going out as their favorite way of spending time in the evening. Out of the 500 adults, the majority of adults (70%) indicated that staying at home was their favorite evening - Prove 2
Prove that the minimum number of straight single cuts/strokes needs to divide a given right-angled triangle or an obtuse-angled triangle into a collection of all acute-angled triangles is seven(7). - Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - The price 4
The price of a commodity was increased in the ratio of 5:4. After one month, the same commodity was reduced in the ratio of 7:8 to attract more customers. Suppose the new price was 35. Calculate the price of the commodity before the increase. - What is 25
What is the trunk of 8 and 10?
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