Examples for secondary school students - page 111 of 230
Number of problems found: 4597
- Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle. - Probability 8445
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit? - An investment How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month.
- Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1m B) 1s? - Customer 8436
The customer paid 143 euros for the goods after a 20% discount. But he wants to exchange all goods for goods in the total amount of 233e. She still has a 20% discount on this amount. How many euros does the customer have to pay for the returned goods? - Tabitha
Tabitha manufactures a product that sells very well. Her facility has a capacity of 241,000 units per year. The fixed costs are $122,000 annually, and the variable costs are $11 per unit. The product currently sells for $17. a. What total annual revenue i - Christmas 8430
The table shows the data that the family spent on Christmas presents last year. This year, they plan to reduce expenses by 20% compared to last year. How many euros will the family save on gifts compared to last year? Books 50.50 Cosmetics 35.00 Toys 25.5 - ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Car repair
John bought a car for a certain sum of money. He spent 10% of the cost on repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%? - Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Adding percentages 55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if taken from the same whole, which means they have the same base amount. You would add the two percentages to find the total amount.
- Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Angle of two lines
There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV. - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - N percentille problem
Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2 - Trio weight
Adela, Barunka, and Cecilia are weighed in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh?
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