Examples for secondary school students - page 3 of 237
Number of problems found: 4731
- 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 receive a payment of $7,000, what is B's share? - A tree 3
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground at an angle of 30°. The distance from the foot of the tree to the point where the top touches the ground is 8 m. Find the original height of the tree. - The length 20
The length and width 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 m². 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 whose 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 $4,590. If the manager's salary is added, the average salary becomes $4,920 per month. What is the manager's monthly salary? - The product 18
The product of two consecutive natural numbers that are multiples of 3 is 810. Find the two numbers. - Four numbers 3
What is the smallest number that must be added to each of the numbers 6, 15, 20, and 43 to make them proportional? - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving 20 m closer to the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower from point A - GP - terms
Which term of the geometric progression 2, 8, 32, … is 131,072? - Triple the sum
At what annual simple interest rate does a sum triple in 5 years? - Triangle 90
A triangle has sides of 6 cm, 4.5 cm, and 7.5 cm. What are the sizes of its angles? - The sum 51 The sum of two numbers is 100 and their difference is 37. Find the difference between their squares.
- Percents and ratio
When 20% of one number is added to a second number, the second number increases by 50%. What is the ratio of the two numbers? - Reciprocal in equation
A positive number, when increased by 10, equals 200 times its reciprocal. What is the number? - The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water? - A plane 3
A plane left 30 minutes later than the scheduled time. In order to reach the destination 1,500 km away on time, it had to increase its speed by 250 km/h from its usual speed. Find its usual speed. - Dual profit
A merchant has 1,000 kg of sugar, part of which he sells at an 8% profit and the rest at an 18% profit. He gains 14% on the whole. Find the quantity sold at an 8% profit. - Dilution
How many litres of water will have to be added to 1,125 litres of a 45% acid solution so that the resulting mixture contains more than 25% but less than 30% acid? - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Lightbulbs
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the em
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