Maths practice for 14 year olds - page 265 of 375

Number of problems found: 7493

Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul
Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be?
Six on dice
When throwing two dice, what is the probability they will fall at least one six?
Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
Outer angles
The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertex B is 136°50'. What size is the inner triangle angle at the vertex C?
Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area.
Sum or product
What is the probability that two dice fall will have the sum of seven or product 12?
Cross section
The cross-section ABCD of a swimming pool is a trapezium. Its width is AB=14 meters, the depth at the shallow end is 1.5 meters, and at the deep end is 8 meters. Find the area of the cross-section.
Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube.
Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line?
Three-digit
How many three-digit natural numbers do not have the number 7?
Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated?
Intersect of 10 lines
At how many points do ten lines intersect if no two are parallel?
Book read
If Petra read ten pages per day, she would read the book two days earlier than she read six pages a day. How many pages does a book have?
Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add it to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers are they?
Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together, they completed the work in the next three and a half days. How many days would he need an assistant for the same work?

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