Maths practice for 14 year olds - page 130 of 362
Number of problems found: 7236
- Apple harvest
A father would pick all the apples on his own in 8 days. After he had worked alone for 2 days, his son joined him, and they finished the remaining picking together in 4 more days. How long would it take the son to pick all the apples on his own? - Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - Cube surface
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - The quadrilateral
The quadrilateral ABCD is composed of two right triangles, ABD and BCD. For side lengths: |AD| = 3 cm, | BC | = 12 cm, | BD | = 5 cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles of DAB and DBC are right. - Three-digit numbers
How many are all three-digit numbers made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated? - Clothing option
Sylvia wants to buy a new T-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt, and six types of trousers. How many different clothing options can you buy? - Motor efficiency
The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss? - Eva sister age
Eve has a sister who is four years older. Ten years ago, she was twice as old as Eve. How old is Eve now? - Turn radius
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4. - Bread flour percentage
There is 3.8 kg of flour in 5 kg of black bread. What percentage of the weight of bread is flour? - At the beginning 3
At the beginning of motion, a car was going at a speed of 120 km/h and kept this speed for the first 11 seconds. Then it began to accelerate further such that every second it accelerated by 6 km/h until it reached a speed of 150 km/h. Then it began to dec - Triangular land
Jane has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be? - Factorial cancellation
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8! - Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm. - Triangle side drawing
Draw a right triangle with side a = 5 cm, c = 8 cm. The right angle is at vertex C. What is the size of side b? - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, the height of trapezium v = 3.7 cm, and the height of the prism h = 5 cm. - Three pillars
On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Walter see each pillar if it is 30 m from the first and his eyes are 1.8 m high? - Carousel for children
There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2 m? - Two similar
There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides.
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