Maths practice for 14 year olds - page 235 of 362
Number of problems found: 7230
- Number ratio
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Triangle Similarity Identity
For triangles ABC and A'B'C': alpha = alpha with a line, beta with line = beta. a) are these triangles identical? Why? b) are these triangles similar? Why? - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Choosing Colors for Sweater
Danka knits a sweater and has a choice of seven colors. a) How many ways can he choose three colors for the sleeves? b) He wants ribbons of four colors on his back. How many options does he have to choose from? - Number series completion
Complete the number series with another number, which is 150 on average: 43 69 87 125 197 211 298 - Container height
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - Cylinder Base Radius Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm
- Ditch
The ditch profile is an isosceles trapezoid with bases of length 80 m and 60 m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth. - Ice Cube Edge Length
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the and the diagonals are perpendicular to each other. - Resistors Series Parallel
Two resistors of 20 Ω and 30 Ω are connected in the electrical circuit. a, Calculate the total resistance in the electrical circuit if the resistors are connected in series. b, Calculate the total resistance in the electrical circuit if the resistors are - Natural Number with Divisors
Which natural number less than 100 has the largest number of divisors? - 15 teachers
Fifteen teachers teach for a combined amount of 128 days over 64 days. What is this expressed as a percentage? - Divisible numbers
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Blocks
There are nine interactive basic building blocks of an organization. How many two-block combinations are there? - Cinema seating
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Journey to Brno
The Dvořák and Novák families live in the same house on the outskirts of Prague. Over the weekend they set out by car to Brno. Mr. Novák drives on the motorway at an average speed of 120 km/h, Mr. Dvořák is more cautious, his average speed is usually 95 k - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Bricklayers
When a bricklayer works to redeem the house in 8 days, the other bricklayer will be finished in 10 days. How long will it take to make three such houses together?
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