Maths practice for 14 year olds - page 113 of 379
Number of problems found: 7575
- Day trip
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 - Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl). - Percentage: 54311
Percentage: Increase and decrease- (x + 5) by 25%. - Taxes
If you were charged $243 in taxes on a $4,050 purchase, what percent tax were you charged? - Sale goods
The supermarket reduced the sale of goods twice. First by 15% and another 20% of the new price. What percentage of the original price was the final price? - A diesel car
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 liter. Unleaded gasoline has a consumption rate of 8.5L per 100km and costs $ - The sum 16
The sum of A and B is 36. The difference between A & B is 8. Find the larger number.
- Insurance 2
A house valued at 255,000 euros has been insured for 224,000 euros. What percent has it been insured? - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Comparing exponents
A) 8 (6²)(8²) b) 16 (6²)(8²) c) (6¹+²) (8²) - Regular price
The sale price of a television is 7200. The discount rate is 40%. Find its regular price. - The average 4
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
What is the sum of the exponents of the prime factors in the prime factorization of 196? - Sum and product
The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy? - Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
- Trapezoids
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. - Diagonals of rhombus
Find the 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
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
The ratio of two numbers is 5:4. If 40% of the first number is 12, what will be 50% of the second number? - Length 9
The length of a rectangle is 8 meters smaller than twice of breadth. If the perimeter of the rectangle is 50, find its length and breadth.
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