Maths practice for 14 year olds - page 261 of 368
Number of problems found: 7348
- The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters. - Debt
Joe and Caryl have a debt of $100,500. Joe makes $90,000 annually, and Caryl makes $35,000 annually. Based on their salaries, how much should both pay to zero out the debt fairly? - Rabbits 3
Viju has 40 chickens and rabbits. If, in all, there are 90 legs. How many rabbits are there with Viju? - 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?
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