Isolating a variable in the formula - practice problems - page 5 of 144
Number of problems found: 2866
- The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP. - The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals. - Same expenses
If the price of tea increases by 20%, what percent must the consumption be reduced to keep the expense the same? - Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey. - Solve 26
Solve percentages question: 75 % of p = 225 - A parallelogram The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
- The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in - Unknown en
I think of a number. If I subtract 9 from it and multiply this difference by 4, the result is 128. Form an equation and solve it to find the number. - A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree. - A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now? - The bill 2
I paid 3/5 of the bill. If 400 USD of the bill is still due, what was the total amount of the bill? - Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .
- Roland 2
Roland sold his watch at a 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch. - Use the formula for area
A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides. - Numerator and denominator
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction? - NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block - Lara's sequence
Lara starts with a number less than 20. She divides it by 2 and adds 6. She then divides this result by 3. Her answer is 4.5. What number does she start with?
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