Maths practice for 14 year olds - page 255 of 362
Number of problems found: 7230
- Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Ratio-cuboid
The edges of a cuboid are in the ratio 2:3:6. Its space diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Ebay is not free
Be aware of eBay - the fee is painful if you sell something expensive. There is a lot of space for classifieds and local exchange away from global eBay. Calculate the ebay+paypal fee if you sell 3037 USD laptop. The formula for eBay fee is 0,30 + 10 % of - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Vacation ticket
Helen and Marta want to go on vacation together. Helen lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Helen. How much does a ticket cost? - Competitors
In the first round of the slalom, 15% of all competitors dropped out, and in the second round, another 10 competitors dropped out. In total, 40% of all competitors dropped out. What was the total number of competitors? - Number line arrangement
On a number line, arrange the points corresponding to the values a, 2a, and 3a + 1 in all possible orders. For each arrangement, decide whether it is possible. If yes, give a specific example; if not, explain why. - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Chess reward
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive - Finding x for Profit
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0 - Car acceleration
A driver traveling at 72 km/h decides to overtake another car traveling at the same speed. Over a period of 4.0 seconds, he increases his speed to 90 km/h. Calculate his acceleration and the distance he covered while accelerating. - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage, and the largest of the three was equal to the sum of the remaining two. The conductor sai - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - MO Z8–I–4 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them, however, assembles a grinder four times faster than the other one disassembles it. When they came to the workshop in the morning, several grinders were already assembled ther
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