Maths practice for 14 year olds - page 205 of 371
Number of problems found: 7417
- Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist? - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6m and 3m and a height of 2.5m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle? - Equations: 8160
Solve a system of equations: 3x- (y + 2) / 2 = 9 (x + 2) / 5-2y = 5 - Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to the done work in 12 days? - Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters? - Heights 8157
The heights of Jirka and David are in the ratio of 5:3. Jirka is 60 cm taller than David. How much does Jirka measure? - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Shopping center
The shopping center buys bikes from the manufacturer for 180 €. It sells them for a sale price of 250 €. However, in the advertising for the sale of these goods, the shopping center spent 20% of the selling price of all bicycles in stock. How many bikes d - Three-holiday 8149
During the holidays, 159 pupils were accommodated in three holiday cottages marked with the letters A, B, and C. There were 8 more pupils accommodated in cottage B than in cottage A and 14 more pupils in cottage C than in cottage B. How many pupils were a - Geese and piglets
There were geese and piglets in the yard. Jane calculated that they have a total of 20 heads and 64 legs. How many geese and how many piglets were in the yard? - Three-euro 8145
Martin bought two-euro and three-euro stickers for 65 euros. There were five times more than two euros. How many stickers of all kinds did Martin buy? - Potatoes
For three days, the store sold 1400 kg of potatoes. On the first day, they sold 100 kilograms of potatoes less than on the second day. On the third day, three-fifths of what they sold the first day. How many kgs of potatoes are sold every day? - Double-colored 8143
Krejčová bought a total of 13 m of double-colored fabric for 1,037 euros. One meter of blue fabric costs 89 euros, and one meter of gray fabric costs 74 euros. How many meters of blue and how many meters of gray fabric did the seamstress buy? - Circumference 8142
Divide a rectangle with sides 60 mm and 84 mm long into three rectangles with the same circumference. - Hundred-euro 8140
Mr. Novák had one hundred and fifty euro bills in his wallet. There were 21 in total, and their total value was 1550 euros. How many hundred-euro and how many fifty-euro notes did Mr. Novák have in his wallet? - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought?
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