Maths practice for 14 year olds - page 79 of 378
Number of problems found: 7557
- Three trucks
There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla - Numbers 74084
I think two numbers. The first is smaller by 30 than the second. The sum of these numbers is 60. What two numbers do I think? - Two teacher 2
Two teachers are paid 5100 USD together. If the teachers are to share this amount in the ratio of 3:7, how much does each receive? - Axial section
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - Mackie's
Mackie's income varies directly from the number of days that she works. If she earns 8000 pesos in 20 days, how much will she earn if she works three times as long? - Preparation 73954
Ivana was preparing for Testing 9. On the first day, she calculated a quarter of all calculated tasks; on the second day, a sixth; on the third, a fifth; on the fourth, only an eighth; and on the last day, she solved 31 tasks. How many tasks did she recal - Amanda Amanda borrowed $5000 from two sources: her parents and a credit union. Her parents charged 3% simple interest, and the credit union charged 6% simple interest. After one year, Amanda paid $225 in interest. Thus, Amanda borrowed $5000 from both her parent
- Melanie Melanie invests a total of $21,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 10% loss in the same time period. At the end of one year, the total amount of money gained was $225
- A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - The sum 22 The sum of three consecutive whole numbers is 27. Find the numbers by showing all the steps.
- Distribution 73724
The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05 - 3S pyramid
A vertical regular 3-sided pyramid is given. The side of the base a = 5 cm, and the height is 8 cm. Calculate the volume and area. - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Menu choice
In a Jollibee, you have a menu choice of C1, C2, and C3. For dessert, you have a choice of ice cream and mango peach. How many different options do you have?
- Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an elevation angle of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find the - Selling eggs
Mandy bought 24 trays of eggs. The tray contains 30 pieces. Each tray costs P130.00. He sold per piece for P8.00. But since 12 pieces are tiny, he decided to sell them for P7.00 only. Assume that Mandy incurred the operating expenses of P800.00 and an int - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line.
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