New Curriculum

⁣Physics Grade 11 Unit 6 Electrostatics and Electric Circuit

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1. Two point charges, +3 µC and -5 µC, are separated by a distance of 0.2 m. What is the magnitude of the force between them?  A) 0.045 N  B) 0.075 N  C) 0.12 N  D) 0.15 N  👉Answer👈 2. What is the electric field strength at a distance of 0.5 m from a point charge of +4 µC?  A) 36 N/C  B) 72 N/C  C) 18 N/C  D) 144 N/C  👉Answer👈 3. A capacitor with a capacitance of 10 µF is charged to a voltage of 12 V. What is the energy stored in the capacitor?  A) 0.72 mJ  B) 0.12 mJ  C) 0.06 mJ  D) 0.48 mJ  👉Answer👈 4. In a series circuit with a total resistance of 30 Ω and a voltage of 90 V applied across it, what is the current flowing through the circuit?  A) 1 A  B) 2 A  C) 3 A  D) 4 A  👉Answer👈 5. A parallel plate capacitor has plates separated by a distance of 1 mm and an area of  0.01 m² . If the capacitor is filled with a dielectric material with a dielectric constant of 5, what is its capacitance?  A) 8.85 nF  B) 44.25 nF  C) 4.4 nF  D) 22.1 nF  👉Answer👈 6. If a circuit consists of a resistor of resistance R and a capacitor of capacitance C connected in series to a battery, what will be the time constant of the circuit?  A) RC  B) R/C  C) C/R  D) R + C  👉Answer👈 7. In an electric field, the potential difference between two points A and B is measured to be 50 V. If the electric field strength is uniform and directed from A to B, what is the work done in moving a charge of +2 µC from A to B?  A) 100 µJ  B) 200 µJ  C) 50 µJ  D) 25 µJ  👉Answer👈 8. In an electric circuit, if the total voltage supplied is equal to the sum of the voltage drops across each component, which law does this statement illustrate?  A) Ohm's Law  B) Kirchhoff's Voltage Law  C) Ampere's Law  D) Faraday's Law  👉Answer👈 9. When two capacitors, one with capacitance C1 and another with capacitance C2, are connected in series, what is the equivalent capacitance (C_eq)?  A)  C_(eq) = C₁ + C₂   B)  C_(eq) = C₁ C₂ / (C₁ + C₂)   C)  C_(eq) = (1/C₁ + 1/C₂)⁻¹   D)  C_(eq) = (C₁ + C₂)/2 👉Answer👈 10. What happens to the current in a circuit if the resistance doubles while the voltage remains constant?  A) The current doubles  B) The current halves  C) The current quadruples  D) The current remains unchanged  👉Answer👈 https://t.me/PhysicsG9_12 https://t.me/PhysicsG9_12

⁣Mathematics Grade 12 Unit 3 Statistics

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▎1. Which of the following measures is NOT considered an absolute measure of dispersion? A) Range  B) Variance  C) Standard Deviation  D) Coefficient of Variation  👉Answer👈 ▎2. If the variance of a dataset is 36, what is the standard deviation? A) 6  B) 12  C) 18  D) 36  👉Answer👈 ▎3. In a dataset with a mean of 50 and a standard deviation of 5, what percentage of the data falls within one standard deviation of the mean according to the empirical rule? A) 50%  B) 68%  C) 75%  D) 95%  👉Answer👈 ▎4. Which of the following sampling techniques ensures that every member of the population has an equal chance of being selected? A) Stratified Sampling  B) Systematic Sampling  C) Simple Random Sampling  D) Cluster Sampling  👉Answer👈 ▎5. What is the interquartile range (IQR) if the first quartile (Q1) is 25 and the third quartile (Q3) is 45? A) 10  B) 20  C) 30  D) 50  👉Answer👈 ▎6. A researcher collects data from a sample and finds that the mean is significantly different from the median. What does this suggest about the data distribution? A) The data is normally distributed.  B) The data has outliers or is skewed.  C) The data is uniformly distributed.  D) The data has no variability.  👉Answer👈 ▎7. In a frequency distribution, if the cumulative frequency for the last class is 120 and there are a total of 150 observations, what is the percentage of observations that fall within that last class? A) 80%  B) 60%  C) 40%  D) 20%  👉Answer👈 ▎8. Which measure of relative dispersion would you use to compare variability between two datasets with different units? A) Range  B) Variance  C) Standard Deviation  D) Coefficient of Variation  👉Answer👈 ▎9. If a frequency curve is positively skewed, which statement about its mean, median, and mode is true? A) Mean < Median < Mode  B) Mean = Median = Mode  C) Mean > Median > Mode  D) Mean < Median > Mode  👉Answer👈 ▎10. In stratified sampling, how are populations divided? A) Randomly into equal parts  B) Based on specific characteristics or strata  C) Into clusters based on geographical location  D) By selecting every nth individual  👉Answer👈 https://t.me/MathsG9_12 https://t.me/MathsG9_12

⁣📚 Mathematics Grade 10 Unit 4 Trigonometric Functions

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1. A central angle θ in a circle of radius 12 cm subtends an arc of length 8π cm. What is the measure of θ in degrees? A. 60° B. 120° C. 150° D. 240° 👉Answer👈 2. If the terminal side of an angle θ in standard position passes through the point (-5, 12), what is the value of θ? A. -13/5 B. 13/12 C. -5/13 D. 12/13 👉Answer👈 3. Which of the following is equivalent to the expression sin² θ/1 - cosθ? A. sinθ B. 1 - sinθ C. 1 + cosθ D. tan² θ 👉Answer👈 4. What is the exact value of cos1020°? A. 1/2 B. -1/2 C. √(3)/2 D. -√(3)/2 👉Answer👈 5. What is the period of the function f(x) = 3tan(πx/2)? A. π B. 2 C. 4 D. π/2 👉Answer👈 6. For 0 ≤x < 2π, what is the solution set of the equation 2sin² x - sinx - 1 = 0? A. {π/2, 7π/6, 11π/6} B. {π/6, 5π/6, 3π/2} C. {π/2, π/6, 5π/6} D. {3π/2, 7π/6, 11π/6} 👉Answer👈 7. If cosθ= 3/5 and tanθ< 0, what is the value of θ? A. 5/4 B. -5/4 C. 4/3 D. -3/4 👉Answer👈 8. An observer finds the angle of elevation to the top of a tower to be 30°. If the observer moves 20 meters closer, the angle becomes 60°. What is the height? A. 10√(3) m B. 20√(3) m C. 10 m D. 30 m 👉Answer👈 9. Which of the following is a correct Pythagorean identity? A. sinθ + cosθ= 1 B. Sec² θ - 1 = tan² θ C. tanθ= cosθ/ sinθ D. 1 + cos² θ= sin² θ 👉Answer👈 10. The area of a sector of a circle with a central angle of 2 radians is 16 cm². What is the radius of the circle? A. 2 cm B. 4 cm C. 8 cm D. 16 cm 👉Answer👈 https://t.me/MathsG9_12 https://t.me/MathsG9_12

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⁣SAT English part I. Choose the Synonym of the given words 1.PERILOUS A) dangerous B) careful C) slippery D) favourable Answer : A. 2.EQUIVOCAL A) clear B) equal C) brand D) ambiguous Answer D 3) BENEVOLENT A) cruel B) selfish C) generous D) happy Answer C 4. COSMIC A) universal B) estranged C) ambiguous D) authoritative Answer A 5. AVARICIOUS A) humble B) greedy C) irritable D) intelligent Answer B II) Analogy 6. FOOT : SKATEBOARD A) tire : automobile B) lace : shoe C) ounce : scale  D) pedal : bicycle Answer D 7. HAT : HEAD A) cold : hot B) winter : snow  C) glove : hand D) basic : advanced Answer C 8. PHOBIC : FEARFUL A) finicky : thoughtful B) cautious : emotional C) envious : desiring  D) ridiculous : silly Answer D 9. TEACHER : SCHOOL A) actor : role B) judge : courthouse C) mechanic : engine D) jockey : horse  Answer B 10. PHARMACY : DRUGS A) mall : store B) doctor : medicine C) bakery : bread D) bell : church Answer C