Maths practice for 14 year olds - page 219 of 297
Number of problems found: 5927
- Construct 4129
Construct a triangle ABC, given the lengths of the sides c = 8 cm, a = 5 cm and length length Vc = 3.5 cm. Perform an analysis, write down the design procedure, perform it, and determine the number of solutions. - Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - Traveling 4124
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. What time will the truck catch up? - Installation 4123
The team of installers is to carry out the installation in 20 days. By adding two fitters from the beginning of the work, the assembly was completed in 15 days. How many were on the team?
- Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Dimensions 4118
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area. - Different 4117
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Cruise liner
The cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes and 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of a cruise liner? - Moon
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full Moon. Calculate the mean distance of the Moon from the Earth.
- Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." We - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m - Ravens
On two trees sits 17 ravens. If three ravens flew from the first to the second tree and five ravens took off from the second tree, then the first tree has two times more ravens than the second tree. How many ravens were originally on every tree? - Rectangle 4077
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle?
- Determine 4057
Determine what the sum of the square roots of the number 12 is. - Determine 4056
Determine x if 3^x: 3²996 = 81 - Calculate 4052
0.6 percent of n is 18. calculate n. - Distance 4051
The distance from Nitra to Ostrava is 257 km. From both places, two cars drove towards each other at the same time. The car from Nitra drove 800m per hour slower than the car from Ostrava. What was the average speed of the cars if the cars met after 150 m - Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
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