Maths practice for 14 year olds - page 142 of 362
Number of problems found: 7228
- A trapezoid
A trapezoid has a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and a height of 20 cm. Calculate the lengths of the other sides of the trapezoid. - Tower distance
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°? - Mrs Perry
Mrs. Perry shares 25 biscuits between Gemma and Zak in a ratio of 1:4. How many biscuits have each? - Route option
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Pyramid complete
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Roof material
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve. - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrilateral pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, and height v = 8 cm. - Truncated pyramid Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
- Grade 2
At the end of the year, the class teacher bought a mug and sweets for her students. One mug cost 15 CZK, a chocolate bar cost 12 CZK, and a wafer cost 9 CZK. The boys received a mug and chocolate, and the girls received a mug and a wafer. How many crowns - Grandmother money distribution
Jane and Thomas received a total of 105 CZK from their grandmother. Jane got a third more than Thomas. How many crowns did everyone receive? - Forest clearing
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together. - Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector. - Romeo Juliet height
Romeo is 20% taller than Juliet. What percentage is Julia lower than Romeo, who measures 180 cm? - Sphere cube percentage
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Turnover change
The company's turnover for the period 2011-2013 increased by 3.7%. From 2013 to 2019, an average year-on-year decrease in turnover of 5% was recorded. What is the total relative change in turnover from 2013 to 2019? - Tent canvas
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent? - Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille. - Ethanol turbine
How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m Volume Ethanol 0.2 m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m². - The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle?
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