Maths practice for 14 year olds - page 234 of 362
Number of problems found: 7230
- Three-digit numbers
How many three-digit numbers do we make from the numbers 4,5,6,7? - Summer camp
Eighty-four children spent their holidays at the summer camp. There were eight fewer boys than girls. What percentage were boys, and what percentage were girls? - Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c = - Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10 cm. Calculate the body volume. - Similar Triangles Angle Sum
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees. - Right Triangle Sides Area
In the right triangle ABC, we know the right angle γ, the area S = 48 cm², and the side a = 8 cm. Calculate: pages b, c - Scientific notation
Approximately 7.5x105 gallons of water flow over a waterfall each second. There are 8.6x104 seconds in 1 day. Select the approximate amount of water flowing over the waterfall in 1 day. - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface area 50% greater than that of the inscribed sphere. - Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long. - Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5. - An oil
An oil drum is cut in half. One-half is used as a water trough. Use the dimensions, length 82cm, width 56cm, to estimate the capacity of the water trough in liters. - Light bulb current
There are three light bulbs connected in a row in the circuit. Which light bulb does the largest electric current pass through? - Light Bulb Power Electricity Usage
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes? - Resistance
A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate the voltage between the terminals of the resistor. - The bulb Calculate the voltage at the bulb's terminals; if the work 18 J is done to transfer particles with an electric charge of 6 C.
- Oranges - fruit
I have 2 kg of fruit (apples + oranges) for 50, -. 1 kg of apples is for 22, - oranges 1 kg for 34, - How much does each fruit weigh? - Similar Triangle Construction
KLM triangle on sides k = 5.4 cm. L = 6 cm, m = 6.6 cm. Construct a triangle K 'L'M 'for which the following holds: ∆KLM ~ ∆K 'L'M' and m '= 9.9 cm - Percentages - students
There are 800 pupils at the school, of which 375 are girls. What percentage of the total number of pupils are girls and boys? Round results to two decimal places. - Lampshade
The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when 10% is waste? - Viewing Two Poles
Two straight paths cross, making an angle alpha = 53 degrees 30'. There are two pillars on one of them, one at the intersection, the other at a distance of 500 m from it. How far does one have to go from the intersection along the other road to see both p
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