Examples for secondary school students - page 20 of 213
Number of problems found: 4251
- Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - IQR and range
The times spent in minutes by 20 people waiting in a queue at the bank for a teller were: 3.4, 2.1, 3.8, 2.2, 4.5, 1.4, 0,0, 1.6, 4.8, 1.5, 1.9, 0, 3.6, 5.2, 2.7, 3.0, 0.8, 3.8, 5.2, Find the range and interquartile range of the waiting times. - Insurance 80434
The client paid the three partners CZK 90,000 for the completed contract. 40% of this amount was the material and 23% that the remaining amounts were paid for insurance and taxes. They divided the rest of the money in the ratio of 2:3:5. What amount did e - A batsman
A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range. - Z score transformation
Suppose a distribution has a mean µ = 8 and standard deviation σ = 4. What is the value of x if it is z = +1.50? - Two numbers 13
Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers. - One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles? - The sum 24
The sum of the three numbers is 80. The first number is 8 less than the third. The second number is 2 times the third. What are the numbers? - Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? - Resistances 80352
We connect a 9V battery, 2 light bulbs in parallel, and a switch to the circuit. When the switch is turned on, a current of 0.5 A passes through the first bulb and a current of 8 A through the unbranched part of the circuit. Draw the connection and calcul - Resistance 80351
We connected two resistors in parallel in the circuit, with the first having three times the resistance of the second. The voltage between the terminals of each resistor is 6 V. Calculate the current through each branch when the resulting resistance of bo - An archer
An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to - Three members AP
There are arithmetic sequence x + 3, 2x + 3, 5x - 3. If the common difference is 3, find x. - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Distances 79974
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - The sequence
Find the nth term of the progression 2,6,12,20... - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated? - Different 79704
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai
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