Maths practice for 14 year olds - page 201 of 375
Number of problems found: 7498
- Hexagonal prism angle
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Car repair
John bought a car for a certain sum of money. He spent 10% of the cost on repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%? - Adding percentages
55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if taken from the same whole, which means they have the same base amount. You would add the two percentages to find the total amount. - Circle line tangent
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Two cities
Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle started at an average speed of 120 km/h. How long will they meet, and at what distance from point A will i - Three tributaries
It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fi - Player selection probability
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Angle of two lines
There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV. - Clock quadrilateral angle
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial. - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Trio weight
Adela, Barunka, and Cecilia are weighed in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh? - Angle of climb
At what angle does the road rise if the climb is 10%? - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Acid Dilution Water Added
I have 500ml of 31% acid and must dilute it to 5%. How many ml of water do I need to add? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - Today in school
There are nine girls and 11 boys in the class today. What is the probability that Suzan will go to the board today? - Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v. - Cinema ticket price
Katka bought cinema tickets for her classmates. She bought 7 tickets for Thursday and 5 for Friday for the boy and paid 186 CZK. For the girls, she bought 11 tickets for Thursday and 4 tickets for Friday and paid 246 CZK. How much was the ticket for Thurs
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