Examples for secondary school students - page 18 of 212
Number of problems found: 4231
- Problem
Problem Solving: The sum of three consecutive numbers is 93. What is the difference between the largest and the smallest number? - GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms. - Square root by hand
Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula). - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Recurrence relation
Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5. - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Height of right RT
The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle? - HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0 - How many 2
How many three-lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed? - Rectangle - area, perimeter
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle. - Expressions 3
If k(x+6)= 4x² + 20, what is k(10)=? - Dice
We throw five times the dice. What is the probability that six fits precisely twice? - Solve equation
Solve equation: [(a²)+3]1/2 + [(a²)-3]1/2 = 5 - Inequality with fraction
(1 + 3x) / (x-2)> 3
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