Maths practice for 14 year olds - page 257 of 370
Number of problems found: 7397
- Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body 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 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - 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? - Corresponding 5468
On the straight line representing the number axis, tie together the various points corresponding to the numbers a, 2a, 3a+1 in all possible orders. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, e - 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. - Tournament 5463
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 - Specify 5462
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0 - Tracksuit 5460
The tracksuit became cheaper by 15% later on sale and later by 10%. How many euros did Janka save if she bought this set after the second discount and paid € 45.9? - Acceleration 5451
The driver of a car traveling at a given moment at a speed of 72 km/h decides to overtake a car traveling at the same speed. Therefore, during 4.0 seconds, increase the speed to 90 km/h. Calculate how big his acceleration was and what path he covered when - 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? - Equations 5445
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - 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?
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