Examples for secondary school students - page 6 of 213
Number of problems found: 4254
- 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? - What is 24
What is the sum of numbers between 20 and 40? - The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference. - The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex? - 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.
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