Презентация, доклад Задачи олимпиадного характера

315 Which values of k cause the lines y = 2x – 5, y = x + 2, and y = kx – 12 to intersect in a single point?

Слайд 1PROBLEMS
Extracurricular study in mathematics, 7th grade
Academic supervisor: Fedotova G.L.

PROBLEMSExtracurricular study in mathematics, 7th gradeAcademic supervisor: Fedotova G.L.

Слайд 2315
Which values of k cause the lines
y = 2x

– 5,
y = x + 2,
and y = kx – 12
to intersect in a single point?
315 Which values of k cause the lines y = 2x – 5, y = x +

Слайд 3364
Roma really likes fantasy and reads three or four pages of

a fantasy novel during each break. He never reads during or after classes. He goes to school five days a week, sitting 28 classes weekly. Last week he has read a total of 78 pages during breaks.
Find the number of breaks during which Roma has read four pages.

364Roma really likes fantasy and reads three or four pages of a fantasy novel during each break.

Слайд 4419
The “Pups” company has purchased an automobile on sale at 35%

below its original price, and sold it at 25% below its original price.
Calculate the percentage of acquired profit.
419The “Pups” company has purchased an automobile on sale at 35% below its original price, and sold

Слайд 5450
“Tell me, oh famous Pythagoras, how many students attend your talks?”
“This

many,” the philosopher responded, “one half studies mathematics, one quarter studies music, one seventh remains silent, and aside from that, there are three women.
Calculate for yourself how many students I have.”

450“Tell me, oh famous Pythagoras, how many students attend your talks?”“This many,” the philosopher responded, “one half

Слайд 6454
It takes a squirrel 20 minutes to carry a nut into

her nest.
The squirrel runs at 3 m/s with the nut, and at 5 m/s without the nut. How far is the nut tree from the nest?
454It takes a squirrel 20 minutes to carry a nut into her nest. The squirrel runs at

Слайд 7457
Present the polynomial x4 – 7x2 +1 as a product of

two polynomials with whole coefficients.
457Present the polynomial x4 – 7x2 +1 as a product of two polynomials with whole coefficients.

Слайд 8ЛИТЕРАТУРА:

МАТЕМАТИКА, 7-8 классы
Задания для подготовки к олимпиадам
Ю.В. Лепёхин, Волгоград, 2014

ЛИТЕРАТУРА:МАТЕМАТИКА, 7-8 классыЗадания для подготовки к олимпиадамЮ.В. Лепёхин, Волгоград, 2014

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