Maths practice for 14 year olds - page 269 of 362
Number of problems found: 7230
- Grand Pardubice Steeplechase
George decided to divide the winnings from the bet in Grand Pardubice Steeplechase (Velká Pardubická) between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZ - Linear equation
Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like? 2x + 3y = 7 - Two Equations
Solve the system of equations by any method and perform the test: 2 (x + y) -3 (y + 2) = -1 x + 2/3y-6 = 2 - How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - System methods
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Seamstress work
Eight seamstresses have to complete the order in 16 days. After four days, the two seamstresses switched to another job. In how many days will the order be fulfilled? - Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms? - Comparing salaries
Spouses compared salaries. Mrs. Jane found a 20% higher salary than Mr. Jerry. Together they earned € 1,430. How much do they earn each of them? - 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?
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