Maths practice for 14 year olds - page 260 of 362
Number of problems found: 7225
- Savings interest
It was 1975, and Petr deposited the entire cash of 10,900.40 Euros in a savings account with 4% interest, credited monthly. He did not add anything to the book, and in exactly 15 years, he withdrew the entire amount in cash. How much did you choose? - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6 cm by 4 cm be enlarged to fit on a 30 cm by 20 cm page? - Pyramid surface
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Stadium area
When the runner goes around the circular stadium five times, he runs 157 km. What area does the stadium occupy? - Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =. - Tree height
Calculate the height of the tree - data - from a distance of 41 m at an angle of 15 degrees. I will see it in its entirety. - Two unknowns
Determine x, y: x + y = 10 x: y = 10 - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; Trapezoid ABCD has the following dimensions: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diag - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Diamond angles
The diagonals in diamond KLMN are 10 cm and 6 cm long. Determine the angle size that the longer diagonal makes with the side of the diamond. - Quadrilateral prism
The body diagonal of a regular quadrilateral prism forms an angle of 60° with the base. The edge of the base is 20 cm long. Calculate the volume of the body. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - Acres
For two hours, 24 students harvested chestnuts on 36 acres. How many square meters are harvested by one student per hour? - Ratio 11
Simplify this ratio 10: 1/4 - Cuboid - volume and areas The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides?
- Dice events
We roll the dice five times. Inscription: A) 3 events that definitely cannot happen. Write a reason for each. B) 3 events that will definitely happen. Write a reason for each. C) 3 events that may or may not occur. Write a reason for each. - Event comparison
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all - Mirror
How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm, and Paul is from the tower distance of 20 m. - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
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