View solutions
FormulaWon

Mexico · Grado 11 · Practice Sheet 14

Sheet code: MEXICO-G11-S14 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Solve using the quadratic formula: x² − 13x + 42 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
    View formula →
  2. 2.

    An object has mass 20.7 g and volume 9 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
    View formula →
  3. 3.

    Solve using the quadratic formula: x² − 1x − 6 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
    View formula →
  4. 4.

    An object has mass 112 g and volume 40 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
    View formula →
  5. 5.

    A wave has frequency 308 Hz and wavelength 1.68 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
    View formula →
  6. 6.

    A device runs at 159 V drawing 7.4 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
    View formula →
  7. 7.

    An object has mass 331.5 g and volume 39 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
    View formula →
  8. 8.

    Find the sum of the first 8 terms of a geometric series with first term a = 8 and common ratio r = 4.

    Formula:Sum of a Geometric Series
    Sn=a(rn−1)r−1S_n = \dfrac{a(r^{n} - 1)}{r - 1}
    View formula →
  9. 9.

    A wave has frequency 708 Hz and wavelength 1.42 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
    View formula →
  10. 10.

    Find the sum of the first 8 terms of a geometric series with first term a = 2 and common ratio r = 2.

    Formula:Sum of a Geometric Series
    Sn=a(rn−1)r−1S_n = \dfrac{a(r^{n} - 1)}{r - 1}
    View formula →
  11. 11.

    A wave has frequency 67 Hz and wavelength 0.51 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
    View formula →
  12. 12.

    In a triangle, a = 14, b = 7 and the included angle C = 110°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
    View formula →
  13. 13.

    A body starts at 1 m/s and accelerates at 1.4 m/s² for 6 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
    View formula →
  14. 14.

    Find the force needed to accelerate a 13 kg mass at 8.8 m/s².

    Formula:Newton's Second Law
    F=maF = ma
    View formula →
  15. 15.

    An object with initial velocity 2 m/s accelerates at 1.4 m/s² for 4 s. Find the distance travelled.

    Formula:Kinematics (s = ut + ½at²)
    s=ut+12at2s = ut + \tfrac{1}{2}at^2
    View formula →
  16. 16.

    Find the sum of the first 12 terms of an arithmetic series with first term a = 9 and common difference d = 7.

    Formula:Sum of an Arithmetic Series
    Sn=n2(2a+(n−1)d)S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)
    View formula →
  17. 17.

    In a triangle, a = 5, b = 9 and the included angle C = 50°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
    View formula →
  18. 18.

    A device runs at 162 V drawing 3.1 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
    View formula →
  19. 19.

    A force of 87 N acts on an area of 1.9 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →
  20. 20.

    $3,700 is invested at 3% compound interest per annum for 3 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest
    A=P(1+r100)tA = P\left(1 + \dfrac{r}{100}\right)^{t}
    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.

Go to full solutions for this sheet