Maths practice for 14 year olds - page 298 of 313
Number of problems found: 6244
- Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again?
- Retail
At what price can the retail 1 kg goods be bought from wholesale if the weight lost in distribution is 4%, and retail still has a profit of 6.3%? Goods are sold at retail for 25 euro per kg.
- SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 110°42'. Calculate the area of this triangle.
- Cyclist
A cyclist is moving at 35 km/h and follows a pedestrian walking at speed 4 km/h. The walker has an advantage 19 km. How long does it take a cyclist to catch up with him?
- Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder.
- Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations):
- Spherical segment
The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere which is cut in this segment.
- Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2).
- Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
- Tanker
The first pump can empty an oil tanker in 4.9 hour, and the second pump can empty a tanker in 8 hours. If the first pump starts at 4:00 and the second starts 1.4 hour later, when will the tanker be empty?
- Angles
The outer angle of the triangle ABC at vertex A is 147°12'. The outer angle at vertex B is 113°42'. What size is the internal angle at vertex C?
- Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
- Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone.
- Clock
How many times a day do hands on a clock overlap?
- Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm.
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Squaring the Circle
Find the side of the square with the same area as the circle of radius 9.
- Interest
Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
- Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder.
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