Maths practice for 14 year olds - page 269 of 361
Number of problems found: 7214
- Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the perimeter and area of a trapezoid. - Garden dimensions
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - MP3 discount
The difference in prices for MP3 players was CZK 750. The shop discounted the MP3 player by 20%. The second MP3 was discounted by 35%, and after the discount, the difference in their prices was CZK 750. How much did they cost before the discount? - Ticket price
Concert tickets have risen in price from € 18 to € 24. What percentage did they increase in price? - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Rifle recoil
A projectile weighing m1 = 0.01 kg is fired at a velocity v1 = 800 m/s from a rifle weighing m² = 4 kilograms. - Seamstress earnings
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October? - Failure
Drivers of passenger cars have calculated that at a speed of 60 km/h, they arrive at their destination within 40 minutes. After 20 km, refrain for five minutes due to a technical failure. How fast must it goes the rest of the way to the finish at the sche - Plane meeting
Regular planes fly between the two airports 690 km away. The aircraft takes off from the first airport at 6:30 am at an average speed of 60 km/h faster than the aircraft taking off at 7.00 am from the second airport. The planes always meet at 9.00 am. At - Walking distance
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, and for the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk? - Garden mowing
Eve can mow a garden in 4 hours, and Deborah can mow it in 3 hours. How long would it take to mow the garden if Eve started one hour earlier and then Deborah joined her? - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Surface and volume
What is the volume of a sphere with a surface area of 113.04 square meters? - Scale factor
A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³. What is the scale factor in fraction form? - Ball diameter
A men's shot put has a prescribed weight of 7,250 g and is made of iron. How would its diameter change if it were made of lead? The density of iron is 7.8 g/cm³ and the density of lead is 11.3 g/cm³. - Worker time
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Two sisters
Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters? - Subject popularity
In the mini-survey of our class about the popularity of individual subjects, it was shown that 11.1% of pupils like mathematics, 18.5% like languages, 14.8% of pupils like physical education, and the remaining 12 pupils have several favorite subjects. How - Workers
Nine workers dig a 120-meter-long canal in eight hours. How long would it take five workers to dig a 200-meter-long canal?
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