Maths practice for 14 year olds - page 257 of 362
Number of problems found: 7230
- Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Lake area
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares. - Staircase handrail
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Forest nursery planting
Forest workers planted the rectangular forest nursery with dimensions of 80 m and 50 m 2/5 with spruce, 12 ares were planted with beech, and the rest grew other deciduous trees. Determine what area the other deciduous trees are growing on. - Competition participants
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Spending
Suppose I spend 25% of my net pay of $922.28 on entertainment. How much money is that? - Diamond base
A prism with a rhombus-shaped base has base diagonals of 24 cm and 20 cm. Calculate the height of the prism if its volume is 9.6 dm³. - Four-digit number Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Big Ben clock
They had three tower clocks in the city. Some went right, others were 10 minutes ahead of the day, and the third was 12 minutes late each day. One day, they struck all the clocks at noon at once. How long will it be like this again? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n - Body diagonal
Cuboid with base 7 cm x 3,9 cm and body diagonal 9 cm long. Find the height of the cuboid and the length of the diagonal of the base, - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Exponential equation
Solve for x: (4^x):0,5=2/64. - Cube wall
The perimeter of one face of a cube is 120 meters. Calculate the surface area and the space diagonal of this cube. - Kaufland sales-off
As a rule, the goods are approaching the end of consumption in Kaufland three days before the consumption ends 30% off and one day before the consumption ends 50% discounts. Sometimes, however, the seller has been mistaken, and the second discount is alre - Finding the base
Find the unknown base of percent: 12.5 percent of what = 16? - Part-timer payment
Three part-timers have a total of CZK 2,850. The first received 20% less than the second part-timer, and the third part-timer received CZK 50 more than the second part-timer. How much CZK did the first, second, and third part-timers get? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C?
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