Maths practice for 14 year olds - page 299 of 312
Number of problems found: 6240
- Vans
In how many ways can 5 shuttle vans line up at the airport?
- Slope
What is the slope of the line defined by the equation -2x +3y = -1?
- Sine
In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ.
- Steamship
Between the two ports on the river is going steamship. The journey there and back takes 8:42. Downstream steamship traveling at 20 km/h, upstream 9 km/h. What is the distance between the ports?
- Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. 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
- AVG of INT
What is the average of the integers from 9 thought 52 inclusive?
- Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 10, b = 19, and height is h = 28.
- 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height?
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]?
- ABS
What is the value of ||-81|-|-90||?
- Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
- Reciprocal
What is the reciprocal of the sum of the reciprocals of 7 and 6?
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
- VAT
John paid 10 Euros in-store for the purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%.
- Mean
If the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?
- Cone
If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone?
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism?
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