- 9th grade (14y) - math problems

Number of problems found: 3135

  • Day trip
    tourists A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at
  • Taxes
    penize If you were charged $243 in taxes on a $4,050 purchase, what percent tax were you charged?
  • Sale goods
    sale Sale goods were reduced twice. First by 15% and then by another 20% of the new price. What percentage of the original price was the final price?
  • A diesel car
    fuel A diesel car costs $2599 more than an unleaded petrol car and travels an average of 25,000km per year. Diesel petrol has a consumption rate of 7.4L per 100km and costs $1.39 per litre. Unleaded petrol has a consumption rate of 8.5L per 100km and costs $1.
  • The sum 16
    eq2_fx The sum of A and B is 36. The difference of A & B is 8. find the larger number of A.
  • Insurance 2
    house A house that is valued at 255,000 euros has been insured for 224,000 euro. At what percent has it been insured?
  • The sum 15
    lines The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
  • Comparing exponents
    powers A) 8 (6²)(8²) b) 16 (6²)(8²) c) (6¹+²) (8²)
  • Regular price
    tele The sale price of a television set is 7200. The discount rate is 40%. Find its regular price.
  • The average 4
    car The average cost price of a car in Ireland is now €26,430 excluding VAT. If VAT is 23% calculate the actual selling price of a car in 2021.
  • The sum 13
    prime The sum of the exponents of the prime factors in the prime factorization of 196 is. .. .
  • Sum and product
    plusminus The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy?
  • Points OPQ
    segment Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
  • Trapezoids
    lichobeznik In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
  • Find a 2
    rhombus-diagonals Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
  • One of
    rhombus-diagonals2 One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus.
  • The ratio 4
    ratios2 The ratio of two number is 5:4 if 40% of the first number is 12, what will be 50% of the second number?
  • Length 9
    rectangles Length of a rectangle is 8 m less than twice of breadth. If the perimeter of the rectangle is 50. find its length and breadth.
  • Cost structure
    factory_butter You are currently trying to decide between two cost structures for your business: one that has a greater proportion of short-term fixed costs and another that is more heavily weighted to variable costs. Estimated revenue and cost data for each alternative
  • Dimensions of rectangle
    rectangles Find the dimensions of a rectangle given that its perimeter is 110 cm and its length is 1 cm more than twice its width.

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