Examples for secondary school students
I enjoyed high school math the most. It was faster paced, more complex, and overall more in-depth. It wasn't just mechanical multiplication tables like in elementary school. They even took derivatives and integrals.Number of problems found: 4586
- Vertical components
Find the horizontal and vertical components of the vector which has magnitude 750 as shown in the following figure. - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After going up a distance of 10m towards the pole the angle of elevation became 30°.What is the height of the pole? - V jedálni
V školskej jedálni ZŠ urobili prieskum medzi žiakmi, ktoré jedlo im najviac chutí. Výsledky vyjadruje prvotná tabuľka: Palacinky; 102 Vyprážaný syr; 81 Špagety ; 18 Dukátové buchtičky ; 42 Kura s ryžou ; 30 Určte, čo je: štatistický súbor, štatistickú jed - Journey 9
A person covers half of his journey at 40 km/h and rest of his 20 km/h. Find his average speed of the whole journey. - Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. is allowed for the seam. - Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm. - GP - negative term
The first term of a GP is -3 and the square of the second term is equal to its 4th term. Find the 7th term of the GP. - Mother and daughter 6
A mother is six time as old as her daughter. In 6 years time she will be four times as old as her daughter . How old is each of them? - Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 liters of water is added, the ratio of alcohol and water becomes 3:4. Find the quantity of alcohol in the mixture. - Equation of the line
Find the equation of the line through (1, 2) with slope 3. - The sum 53 The sum ofthree numbers of a GP series is 35 and their product is 1000. Find the numbers.
- A train 7
A train overtakes two persons. They are walking in the same direction as the train at the rate of 2 km/hr and 4 km/hr. The train passes them completely in 9 and 10 seconds respectively. Find the length of the train. - A person 3
A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have? - A pie 16
A pie is divided into 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what left,... and so on. Who gets the largest piece of pie? - The centroid
The centroid of a triangle ABC is at the point (3,3,3). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6) respectively, find the coordinates of the point C. - Two types of ore
A total of 42 tons of two types of ore is to be added into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tons of copper. - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the volume of the Earth is the volume of the Moon? - Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0 - A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own. - The sum 52
The sum of digits of a two digits number is 10. On interchanging the digit, the number obtained is 54 less than the original number. What is the original number?
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