Maths practice for 14 year olds - page 111 of 370
Number of problems found: 7399
- The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - Arithmetic 54441
The arithmetic mean of the six numbers is precisely 9.5. The sum of these five numbers is 56.9. The sixth number is? - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib - 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.
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