Examples for secondary school students - page 14 of 222
Number of problems found: 4435
- 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.
- 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.
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