Maths practice for 14 year olds - page 73 of 379
Number of problems found: 7575
- Deteriorating 78504
The hiker walked for 3 hours at a 4 km/h speed. Due to the deteriorating weather, he increased his pace and walked at 7 km/h for the next hour and a half. At the end of his trip, it started to rain, so he started running at a speed of 20 km/h for 30 minut
- Multiplied 78494
A quarter of an unknown number multiplied by 4 equals 30% of that unknown number. Determine the unknown number.
- Soccer season
Joel is training for soccer season. On Monday, Joel exercises for 20 minutes before school, and 25% of that time is spent playing soccer. On Mondays, he exercises for 60 minutes after school, and 40% of that time is spent playing soccer. What is the total
- Hydraulic jack
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever.
- Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle.
- Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have
- Car uses
The car uses 91 liters of petrol to travel 700km. Determine the rate in liters per 100km.
- 7 men
Seven men can complete work in 52 days. How many days will 13 men finish the same work?
- Difference 78294
The distance between Aš and Břeclav is 477 km. At what speeds were the cars driving against each other when the slower one left Aš at 6:30 AM and the second left Břeclav at 8 AM? They meet at 10:30 AM, and the difference in their speeds is 41 km/h. How fa
- Sipho
Sipho and John got the same amount of work; Sipho did 19/34 of his homework, and John did 23/41 of his homework. What percentage of his homework did John do, and what percentage of his homework did Sipho not do?
- Kilograms - drying
Fresh herbs contain 90% water, dried 10% water. How many kilograms of herbs can we dry from 15 kg of fresh ones?
- Making profit
If I make a profit of 25% on selling a bottle of drink for 85, how much did I buy the drink?
- AMJ
There are three siblings: Anne, Maya, and Jane. Anne gave Maya and Jane as much money as each had. Then Maya gave Anne and Jane as much money as each had. Then Jane gave Anne and Maya as much money as each had. Then, each of the three siblings had 128 pes
- AP five members
Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. Show your solution.
- Mrs. Conley
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided. If 20% of th
- The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex, A, 2 cm from the edge of the circle, as shown. The vertex A is also 7 cm from C. The points B and C lie on the circumference of the circle. a. What is the radius? b. Find
- Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.
- Žaneta 78044
Juraj and Žaneta are 48 years old. Juraj is twice as old as Žaneta. How old is Juraj, and how old is Žaneta?
- Photographs 78034
The book was sold for 225 CZK and was sold out very quickly. The publishing house prepared a reprint and expanded the book with new photographs. The extended version of the book costs CZK 280. By what percentage is the new book more expensive?
- Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer
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