Maths practice for 14 year olds - page 365 of 381
Number of problems found: 7602
- 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? - Height
Calculate the height of the equilateral triangle if its perimeter is 31. - 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 2488 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. - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - Interest
Calculate how much you earn for 8 years 17000 deposit if the interest rate is 1.2% 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. - Map
On a tourist map with a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes. - OK circle
The right triangle has hypotenuse long 33 and one leg long 17. Calculate the radius (circumradius) of the circle described. - Vans
In how many ways can 5 shuttle vans line up at the airport? - Sine
In the triangle Δ ABC, if sin α =0.6 and sin β =0.7 Calculate sin γ. - Sea water
Seawater contains about 6.5% salt. How many dm³ of distilled water must we pour into 21 dm³ of seawater to get water with 1.2% salt? - Steamship
Between the two ports on the river is going steamship. The journey there and back takes 12:53. Downstream steamship traveling at 19 km/h, upstream 8 km/h. What is the distance between the ports? - Reflector
The circular reflector throws a light cone with a vertex angle 56° and is on 24 m height tower. The axis of the light beam has the axis of the tower angle 11°. What is the maximum length of the illuminated horizontal plane? - Monty Hall
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is the - Pillar
Calculate the volume of a pillar in the shape of a regular quadrilateral frustum (truncated pyramid) with base edges a = 10 and b = 19, and height h = 28.
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