Maths practice for 14 year olds - page 74 of 370
Number of problems found: 7387
- 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
- A car 6
A car holds 15 liters of fuel. The car consumes 3 liters of fuel each 100 km. We started a trip of 350 km with a full tank of fuel. How much fuel remains in the tank at the end of the trip?
- Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes?
- Five brown
Five brown eye contracts, seven green pairs, and four blue pairs. What's the probability Gianna will randomly select a brown or green pair?
- Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1).
- The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
- Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
- The point
The point which lies in the fourth quadrant is A.(2,1) B.(1,-3) C.( -5,-2) D. (-4,0) E. (0,0)
- The midpoint 2
Find the value of x if M is the midpoint of PQ, PQ=10x−7, and PM=14.
- Nicolette
Nicolette makes a small bead bracelet using five red, eight purple, and six green beads. A large necklace has the same ratio of beads as a small bracelet. If the large necklace requires 15 red beads, how many purple beads are needed to make a large bracel
- A solution
A solution of salt and water has 15% salt by weight. From it, 30 kg evaporated, and the solution now contains 20% salt. Find the original quantity of the solution.
- Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle?
- You buy
You buy two soft drinks and 24 toffees at the tuck shop. One soft drink costs six times as much as one toffee, so your total purchase cost is R54. Determine the cost of one toffee.
- I spent
I spent 3/8 of my money in one shop,1/4 in a second shop, and 1/8 in a third shop. I then had $5 left. How much did I start with?
- Cows and pigs
There are 3/4 as many cows as pigs on an animal farm. If there are 35 pigs and cows on the farm, how many of them are pigs?
- Big tree
You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree?
- Erica’s
Erica's bank account increased from $1,200.00 to $1,500.00. By what percent did the amount of money in her bank account increase?
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