Maths practice for 14 year olds - page 112 of 379
Number of problems found: 7575
- Engineering 54971
Two engineering companies have the same production program. The first company would fulfill their orders in 20 days. The second company in 16 days. How long will the companies fulfill the order if the first company starts working 2 days earlier?
- Perfect cube
Which of the following numbers is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
- The library
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th
- Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers.
- Summands 54861
Can you divide the number 64.9 into three summands so that the first with the second is in the ratio 4:5 and the third with the first in the ratio 7:3?
- Parallelogram 54791
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral.
- Strawberries
Three people pick strawberries from 48 rows in 8 hours. How many hours do five people need to pick strawberries from 20 rows?
- Lucka
Lucka reads a thrilling novel about the holidays. She would read the book one day earlier if she read 16 pages daily instead of 14. How many pages does the novel have in total?
- Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster?
- Three animals
Ramrao bought a cow, a buffalo, and an ox for a total of Rs 85,000. The ratio of the price of a cow, buffalo, and ox is 4:8:5. What is the price of an ox?
- Wonderland
The cost of admission to Wonderland is 51.75. each bus we take costs 267.50 and holds 48 passengers. Suppose three classes of 27 and their teacher wanted to go. How much would they need to fundraise?
- The bricklayer
The bricklayer built a six-meter base of the fence in 3 hours. How long does it take to build a 14 meters long base?
- Dimensions 3
The perimeter of a rectangular field is 96 meters. The length is four meters less than three times the width. Find the length and width (its dimensions).
- The charity
Amy will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Amy would like the amount donated to the educational foundation growth to be at least four times the amount
- Weight fraction
To prepare the brine, we need 1500 g of an aqueous salt solution with a weight fraction of 0.08. What salt weight and water volume do we need to prepare it?
- Salt solution
Calculate the weight of a 50% salt solution we prepare from 120 g of salt.
- The flag
The flag should consist of 3 different-colored stripes—available colors are white, red, blue, green, and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of fla
- 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
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