Maths practice for 14 year olds - page 102 of 362
Number of problems found: 7228
- Square diagonal angle
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Ticket divisible probability
Petra wrote the natural numbers from 1 to 20 on 20 tickets. Millie pulls out one ticket. What is the probability that she pulls out a ticket with a number divisible by three? - Probability
Zuzana has 5 playlists with different music styles on her mobile phone. The table shows their names and the number of songs they contain. Fill in the missing number so that a rock song plays first with a probability of 21% when the shuffle function is use - Cone surface radius
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Quadrangular pyramid
The decorative object has a quadrilateral pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height. - Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°. - Camera double discount
The camera was reduced twice, first by one-fifth of the original price and then by a quarter of its new price. After the second discount, the camera cost CZK 8,100. How much did he face before the discounts? - Cube wall diagonal
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Two-digit same digits
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Shape area order
Arrange the given shapes according to their area, in descending order: S - Square with perimeter = 16 cm O - A rectangle with side a = 3 cm and perimeter o = 16 cm T - A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm - Goods season price
Goods with a price of 520 € became more expensive by 15% at the beginning of the season. At the end of the season, the goods became cheaper by 10%. How much did the goods cost at the end of the season? - Triangle circle radius
Calculate the radius of the circle circumscribed about a right triangle whose legs are 10 cm and 24 cm long. - Pool inlet filling
We can fill the pool with two inflow pipes. The first pipe fill in 24 hours and the second in 16 hours. How long did the pool fill if the first tube was open for the first 4 hours and then we opened both inlets? - Highway section length
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - Triangle angles
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Four-digit number shift
Writing a four-digit number ends with the number 5. If we move this number to the first place, we get a number 531 larger than the original. Specify the original number. - Probability RGB
The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball? - Parallelogram perimeter area
The parallelogram has side a = 58 cm and diagonals u = 89 cm and v = 52 cm. Calculate the perimeter and area of this parallelogram. - Report card grades
Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many four - Delivery scrap percentage
In the first delivery of 120 parts, there was 5% waste. In the second delivery in which, 10% of the 80 were scrapped. How much scrap was brought in with the first and second deliveries combined? What % of scrap was there in both deliveries of parts, out o
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