Biology Entrance Exam 2024 -

👑 ከ Grade 9-12 አዲሱን ከ ድሮ Curriculum ጋር በማቀናጀት የተዘጋጀ

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✅ MoE Standardized 100 Questions with Answer and Explanations
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Off phrases

📕LIVE OFF → Refers to the source of income or money:
🔘 Due to illness, he has been living off his wife's earnings for some time now.

📗CALL OFF → to cancel something:
🔘 The match was called off due to rain.

📘PUT OFF → To postpone or avoid something:
🔘 She put off her wedding until her father recovered completely.

📙LAY OFF → To discharge/ dismiss workers from their jobs:
🔘 Our company laid off around 300 workers this year.

📒NOD OFF → To fall asleep:
🔘 Sam nodded off during the class.

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✍️✍️እንዴት እናጥና✍️✍️❓

✍️የሚከተሉትን  ምክሮች በመተግበር  የማስታወስ ችሎታችንና የትኩረት አቅማችንን ማዳበር እንችላለን :-

✅ 1. ቁርስና ጠቃሚ ምግቦች

👉ሰውነታችን በአግባቡ ሥራውን እንዲሰራ ኃይል ያስፈልገዋል፤ አንጎላችን ደግሞ ትኩረት እንዲኖረውና የማስተዋል አቅማችን እንዲጨምር በቂ የሆነና ያልተቆራረጠ የኃይል አቅርቦት ይፈልጋል።

👉ጥናቶች እንደሚያሳዩት ቁርሳቸውን ተመግበው ወደፈተና የሚገቡ ተማሪዎች የተሻለ ውጤት ያስመዘግባሉ። የተመጣጠነ ምግብ ተመግበው ለፈተና የሚቀርቡት ደግሞ የበለጠ የማስታወስና የማስተዋል አቅም ይኖራቸዋል።

👉ስለዚህ ሁሌም ቢሆን ፈተና ያለባቸው ተማሪዎች እንደ የገብስ ገንፎ፣ ዳቦ፣ ሩዝና ድንች ያሉ በካርቦሃይድሬት የበለጸጉ ምግቦችን በቁርስ ሰዓት ተመግበው ቢወጡ ይመከራል።እርጎ፣ እንቁላል፣ አሳ፣ ጎመን፣ ቲማቲምና አቮካዶ ዓይነት ምግቦችም እጅጉን ጠቃሚ ናቸው።

✅ 2. በጠዋት ወደ ጥናት መግባት

👉ሁሌም ቢሆን ነገሮችን አስቀድሞ መጀመርን የመሰለ ነገር የለም። ለፈተናም ቢሆን ጥናት በጠዋት ተነስቶ መጀመር በፈተና ወቅት የተረጋጋ መንፈስ እንዲኖረን ይረዳል።

👉ጠዋት ላይ ጭንቅላታችን እረፍት አድርጎ በአዲስ መንፈስ ሁሉንም ነገር ስለሚጀምር፤ በዚህ ሰዓት ማጥናት ውጤታማ ያደርጋል። በተለይ ደግሞ የክለሳ ጥናቶችን ለከሰዓት ማሸጋገር ተገቢ አይደለም።ጠዋት ጥናት የምንጀምርበትና የምናበቃበት ሰዓት ከፈተናው በፊት ባሉት ሁለት ወይም ሦስት ሳምንታት ውስጥ ተመሳሳይ ለማድረግ መሞከርም ውጤታማ ያደርጋል።

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አንድ 12ኛ ክፍል ተፈታኝ ተማሪ የግድ ሊያውቃቸው የሚገቡ የማትስ ፎርሙላወች!!!


1. Pythagorean theorem: a² + b² = c²

2. Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

3. Distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)

4. Slope-intercept form of a line: y = mx + b

5. Point-slope form of a line: y - y₁ = m(x - x₁)

6. Midpoint formula: ((x₁ + x₂)/2, (y₁ + y₂)/2)

7. Law of sines: a/sin A = b/sin B = c/sin C

8. Law of cosines: c² = a² + b² - 2ab cos C

9. Sum of angles in a triangle: A + B + C = 180°

10. Area of a triangle: A = (1/2)bh

11. Volume of a sphere: V = (4/3)πr³

12. Volume of a cylinder: V = πr²h

13. Volume of a cone: V = (1/3)πr²h

14. Surface area of a sphere: A = 4πr²

15. Surface area of a cylinder: A = 2πr² + 2πrh

16. Surface area of a cone: A = πr² + πrs, where s is the slant height

17. Binomial theorem: (a + b)ⁿ = Σ(n choose k)a^(n-k)b^k, where Σ is the sum from k=0 to n, and (n choose k) is the binomial coefficient

18. Fundamental theorem of calculus: ∫a^b f(x) dx = F(b) - F(a), where F is the antiderivative of f

19. Derivative of a constant: d/dx(c) = 0

20. Power rule for derivatives: d/dx(xⁿ) = nx^(n-1)

21. Product rule for derivatives: d/dx(fg) = f'g + fg'

22. Quotient rule for derivatives: d/dx(f/g) = (f'g - fg')/g²

23. Chain rule for derivatives: d/dx(f(g(x))) = f'(g(x))g'(x)

24. Mean value theorem: if f is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b) - f(a))/(b-a)

25. Intermediate value theorem: if f is continuous on [a,b], then for any y between f(a) and f(b), there exists c in [a,b] such that f(c) = y

26. Rolle's theorem: if f is continuous on [a,b] and differentiable on (a,b), and if f(a) = f(b), then there exists c in (a,b) such that f'(c) = 0

27. Integration by substitution: ∫f(g(x))g'(x) dx = ∫f(u) du, where u = g(x)

28. Integration by parts: ∫u dv = uv - ∫v du

29. L'Hopital's rule: if lim(x → a) f(x)/g(x) = 0/0 or ∞/∞, then lim(x → a) f(x)/g(x) = lim(x → a) f'(x)/g'(x)

30. Taylor series: f(x) = Σ(n=0 to ∞) f^(n)(a)/n!(x-a)^n, where f^(n) is the nth derivative of f

31. Euler's formula: e^(ix) = cos(x) + i sin(x)

32. De Moivre's theorem: (cos x + i sin x)^n = cos(nx) + i sin(nx)

33. Fundamental trigonometric identities: sin² x + cos² x = 1, 1 + tan² x = sec² x, 1 + cot² x = csc² x

34. Double angle formulas: sin 2x = 2sin x cos x, cos 2x = cos² x - sin² x, tan 2x = (2tan x)/(1 - tan² x)

35. Half angle formulas: sin(x/2) = ±√((1 - cos x)/2), cos(x/2) = ±√((1 + cos x)/2), tan(x/2) = ±√((1 - cos x)/(1 + cos x))

36. Sum-to-product formulas: sin A + sin B = 2sin((A+B)/2)cos((A-B)/2), cos A + cos B = 2cos((A+B)/2)cos((A-B)/2), sin A - sin B = 2cos((A+B)/2)sin((A-B)/2), cos A - cos B = -2sin((A+B)/2)sin((A-B)/2)

37. Product-to-sum formulas: cos A cos B = (1/2)(cos(A-B) + cos(A+B)), sin A sin B = (1/2)(cos(A-B) - cos(A+B)), sin A cos B = (1/2)(sin(A+B) + sin(A-B)), cos A sin B = (1/2)(sin(A+B) - sin(A-B))

38. Hyperbolic functions: sinh x = (e^x - e^-x)/2, cosh x = (e^x + e^-x)/2, tanh x = sinh x/cosh x

39. Inverse trigonometric functions: arcsin x, arccos x, arctan x

40. Logarithmic identities: log(xy) = log x + log y, log(x/y) = log x - log y, log x^n = n log x

41. Exponential identities: e^x+y = e^x e^y, (e^x)^n = e^(nx), e^0 = 1

42. Binomial coefficients: (n choose k) = n!/(k!(n-k)!)

43. Pascal's triangle: each entry is the sum of the two entries above it

44. Fermat's little theorem: if p is a prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p)

45. Chinese remainder theorem: if m₁, m₂, ..., mₙ are pairwise coprime integers and a₁, a₂, ..., aₙ are any integers, then there exists an integer x that satisfies the system of congruences x ≡ a₁ (mod m₁), x ≡ a₂ (mod m₂), ..., x ≡ aₙ (mod mₙ)

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Share 'PHYSICS remedial course.pdf'

1. Turn up - to arrive, appear
   Example: I hope she turns up for the meeting on time.

2. Give up - to quit or surrender
   Example: Don't give up on your dreams, keep working towards them.

3. Get along - to have a good relationship
   Example: They get along really well with their neighbors.

4. Look after - to take care of someone or something
   Example: Can you look after my cat while I'm away?

5. Break up - to end a relationship
   Example: They decided to break up after years of dating.

6. Turn on - to switch something on
   Example: Can you turn on the lights, please?

7. Put off - to postpone or delay
   Example: They had to put off the meeting until next week.

8. Come across - to find or meet someone unexpectedly
   Example: I came across an old friend in the park yesterday.

9. Run out - to have none left
   Example: We've run out of milk, I'll need to buy some more.

10. Bring up - to mention or raise a topic
    Example: She brought up a new idea during the meeting.

11. Look for - to search or seek
    Example: I'm looking for my keys, have you seen them?

12. Set up - to establish or organize
    Example: They set up a new business in the city center.

13. Take off - to remove or to become successful
    Example: The plane will take off in a few minutes.

14. Get over - to recover from an illness or shock
    Example: It took her a while to get over her breakup.

15. Call off - to cancel
    Example: Due to bad weather, they had to call off the outdoor event.
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😊Hey you 🫵, Can you speak English ?

ለመላው የእስልምና እምነት ተከታዮች እንኳን ለ1445ኛው የዒድ አልፈጥር በዓል በሰላም አደረሳችሁ።

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⌨Grade 12

✅Mathematics

🟢 Practice Questions
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