Maths practice for 14 year olds - page 321 of 370
Number of problems found: 7397
- Work at plant
The handyman vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he sought help. Together, they made all the corrections for 13 1/3 days. How long would the work take the helper himself? - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD, points JG lie on the side CD, while DJ is less than DG, and points HE lie on the side DA, while DH is less than DE. We also know that DJ is equal to GC. Hexagon ABCGFE has a perimeter of 96 cm, - Probability
In the lottery, numbers are drawn from five to 50. What are the chances you will win the first prize? - Repairman
The repairman has vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he took a helper worker. Together, they made all the corrections for the whole day. How long would it take work to help workers? - Two masons
Two masons built the garage together—it took 18 days. If they worked independently, the other would have worked 15 days more than the first. How many days would it take each mason to build the garage alone? - Probability - tickets
What is the probability when you have 25 tickets in 5000 that you do not win the first (one) prize? - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a - Chord circle
The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch. - Painters 4
One painter will do the job for 12 days. After a 4 1/3 day, he comes second to help him complete work together for eight days. How long would work the second painter himself? - Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hrs. later started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker? - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long. - Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m. - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm. - Acreage
What acreage has a rectangular plot whose diagonal is 34 meters long, and one side has a length of 16 meters? ... - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm. - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold.
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