Maths practice for 14 year olds - page 133 of 370
Number of problems found: 7384
- Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A - Diameter 41221
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Probability 41211
We have five red and seven white balls in a hat. What is the probability of pulling: a) a red ball? b) a white ball? - No solutions
Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions? - The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - Penguins 41161
There were 10 more reindeer than penguins in the ice kingdom. But the lousy witch captured a third of the reindeer. There were only 22 reindeer left in the kingdom. How many penguins lived in the ice kingdom before the evil witch came? - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Binary words
How many 10-bit words can be created with precisely four units (e.g., 1111000000)? - Guilders 40991
The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy? - A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Right-angled 40961
A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate the percentage of the area of triangle ABC that is the area of triangle A'B'C'. - Height - the ladder
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Rollers 40841
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice? - Pedestrians 40811
From Tatranská Lomnica to Ždiar, 40 km apart, two groups of tourists went opposite each other. Pedestrians left Tatranská Lomnica at 9:00 AM at an average speed of 4 km/h. Cyclists from Ždiar at 9:30 at an average speed of 15 km/h. When will they meet? At - There 5
There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended? - 80-kilogram 40741
The 80-kilogram man who caused the car accident had 2.5% blood alcohol. Determine how many grams of alcohol he had in his blood if the blood made up 8% of a person's weight. - The cost
The amusement ticket costs 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2,000, and the total revenue is 750000 pesos. How many children and how many adults bought the tickets? - Two markers
Two markers and one eraser cost 35 pesos, and three markers and four erasers cost 65 pesos. Find the cost of a marker and an eraser. - Arithmetic 40671
The number 20 is the arithmetic mean of the eight numbers. Determine their sum.
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