Maths practice for 14 year olds - page 75 of 361
Number of problems found: 7217
- Five-digit number digits
Determine the number of all-natural five-digit numbers in decimal notation that each have the digits 0, 1, 3, 4, 7. - Wayne
Wayne can clear a plot of land in 1/3 hours, and Melvin can clear the same plot of land in 2/4 hours. What could possibly be the time for both Wayne and Melvin if they combine to clear the same plot of land? - Square point distance
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Five-digit number divisibility
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even? - Five-digit number count
Determine the number of all natural numbers greater than 2000 in which the digits 1, 2, 4, 6, and 8 occur at most once each. - Natural numbers
Find the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, 8 occur at most once and not contains any other digits. - RT area
A right triangle has an area of 54 cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg. - Village railway distance
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - A chemist
A chemist recorded the change in temperature of a cooling liquid as −25.5° over a 1.5-minute period. The temperature fell at a constant rate. What was the rate of change in temperature? Enter your answer in the box. °F per minute - Triangle side ratio
I have a right triangle, the length of the hypotenuse is c 20, and I only know the side ratio a:b = 2:1. I can't figure out the actual length of the hangers = I'm already an old man, and my brain doesn't work at 100% like it did years ago at school - I co - Mug handle triangle
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug? - Mast rope anchoring
The mast is 190 m high and is attached to six ropes which are anchored in the ground at a distance of 20 m from the base of the mast. How many meters of rope were needed? - Tower deviation height
Determine by how many meters the deviated tower, whose height is 56 m, and the top of the tower is located at 55.855 m. - The average 8
The average point per game in NCAA men's basketball is 71 points. If Duke scored 112% of the average and UNC scored 0.87 times the average, who scored more points? - Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides. - Number digit formation
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated? - Dance pair duration
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai - Peter fruit choice
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Vera, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses. - Shoe cabinet combinations
In the shoe cabinet, there is one pair each of boots, sandals, tennis shoes, and brown and black ankle boots. Determine how many ways one right shoe and one left shoe can be chosen from among them that do not belong together.
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