Maths practice for 14 year olds - page 73 of 375
Number of problems found: 7497
- A sum 5
A sum of money is to be shared in the ratio 3:5:7. If the smallest share is Php9.00, How much money is shared? - Divide in ratio 3
Divide 4089 items between four people, A, B, C, and D, in the proportions: 7:9:4:9. How many items do B, and D get? - A hairdresser
A hairdresser is deciding where to open her studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 monthly rent and charge $60 per haircut. How man - Six-digit number creation How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
- On the Oval Track
Two runners are training on the oval stadium track. Both runners start from the same point and maintain a steady pace. The first runner completes 3 laps in the same time that the second runner completes 2 laps. Both runners set off in the same direction a - Circuit current calculation
We connect a 9V battery, 2 light bulbs in parallel, and a switch to the circuit. When the switch is turned on, a current of 0.5 A passes through the first bulb and a current of 8 A through the unbranched part of the circuit. Draw the connection and calcul - Cyclist car overtaking
A cyclist traveled 50 km in 2 hours. A car followed him from the same city and overtook the cyclist in an hour. At what speed was the car going, and at what distance did they meet? - Ice cream
Two and a half liters of ice cream are divided (unequally) into two parts that are in the ratio of 1:7. How much is each part? - 20 students
Twenty students took a test. Ten students got an average (arithmetic mean) score of 80. Five of them got an average score of 75. And the remaining 5 students got an average score of 55. What is the average score of the 20 students? - 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 54cm². 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
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