Examples for secondary school students - page 55 of 212
Number of problems found: 4231
- Netherlands 3595
Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals. - Together 3331
The group has 12 red girls and 25 blue girls in costumes. How many of them can we put together a group of 6 girls so that the four girls have red outfits? - Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class? - Three-digit 2842
Determine the three numbers that are in the ratio 1: 2/3: 3/4, and the sum of the first two equals the smallest three-digit number. - Multiply 2762
Which number is to multiply the number by to get the number: a) 1 b) m - Following 1859
Solve the following linear equation in R: 4/10X + 2/10X + 1/6X + 1/10X + 400 = X - Probability 1775
The company has so far produced 500,000 cars, of which 5,000 were defective. What is the probability that at most one car out of daily production of 50 cars will be defective? - Side c
In △ABC a=6, b=6 and ∠C=110°. Calculate the length of the side c. - 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - Statistics
The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is: - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR? - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - The Uniform Distribution
The number of tickets purchased by an individual for Beckham colleges holiday music festival is uniformly distributed random variable ranging from 5 to 12. What is the standard deviation? - Fibonacci numbers
If the first three Fibonacci numbers are given as x1 = 1, x2 = 1, and x3 = 2, then what is the least value of n for which x(n) > 500? - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - A Petri
A Petri dish contains 35 cells. Every day, each cell in the Petri dish divides into 2 cells in a process called mitosis. How many cells are there after 14 days? - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - A yard
Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length.
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