Examples for secondary school students - page 2 of 231
Number of problems found: 4610
- 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? - Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole. - The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides. - The ages 3
The ages of A and B are in ratio of 5:4. Three years hence the ratio of their ages will become 11:9. What is the present age of B? - A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share? - The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm. - Two masons Mason A can build a wall in 30 days, while mason B can build it in 40 days. If they build it together and get a payment of USD 7000, what is B's share?
- A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree. - The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - The average 17
The average monthly salary of 20 workers in an office is $4590 . If the manage's salary is added, the average salary becomes $ 4920 per month What's the manager's monthly salary? - The product 18
The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers.
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