Examples for secondary school students - page 64 of 214
Number of problems found: 4261
- Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13. - Bananas and mango
5 kg of bananas and three kilograms of mango cost 146 CZK, and two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes? - Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - Compressive 34401
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created?
- Compressive 34391
The excavator has an area of belts 5 m2, and a pressure of 40 kPa is created. How much compressive force does the excavator exert on the road? - Inclination 34381
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - The product of the roots
Find the product and the sum of the roots of x² + 3x - 9 = 0 - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
- Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s. - Transmitter 34201
A television transmitter 108 m high is anchored at 2/3 of its height (from the ground) by three ropes of equal length. How many meters of rope are needed for anchoring if it is embedded at a distance of 54 m from the foot of the mast, and we count 10% of - Procedure 34191
Petr got a fifth more than Pavel, Jirka got 100 CZK more than Petr, and Honza got half of what Petr did, so they shared the reward of CZK 2,500. Solution and procedure. - The data
The data set represents the number of cars in a town given a speeding ticket each day for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR? - Maxwell’s inductance bridge
The four arms of Maxwell's inductance bridge are; Arm AB contains an Inductive coil of inductance L1 having resistance R1. Arms BC and CD contain non-inductive resistances of 200Ω and 100Ω, respectively. Arm AD contains a standard inductor of inductance L
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|. - Andrew
Andrew had an offer for a job starting at 100000 per year and guaranteeing her to raise 10000 a year for the next years. Find her salary for the 4th year. - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Staircase
On a staircase 3.6 meters high, the number of steps would increase by three if the height of one step decreased by 4 cm. How high are the stairs? - Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s.
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