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Japan · Grade 10 · Practice Sheet 26

Sheet code: JAPAN-G10-S26 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A force of 305 N acts on an area of 9.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  2. 2.

    A device runs at 124 V drawing 8.5 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  3. 3.

    Find the volume of a sphere of radius 3 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere
    V=43πr3V = \tfrac{4}{3} \pi r^3
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  4. 4.

    Find the force needed to accelerate a 18 kg mass at 2 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  5. 5.

    A body starts at 12 m/s and accelerates at 4.4 m/s² for 9 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  6. 6.

    A wave has frequency 669 Hz and wavelength 4.58 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
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  7. 7.

    Find the force needed to accelerate a 56 kg mass at 5.5 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  8. 8.

    A population of 8,400 grows 8% per year. Find its size after 6 years (nearest whole number).

    Formula:Exponential Growth
    N=N0(1+r)tN = N_0 (1 + r)^{t}
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  9. 9.

    Solve for x: 8x + 8 = 32.

    Formula:Solving a Linear Equation
    x=cbax = \dfrac{c - b}{a}
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  10. 10.

    An object has mass 72 g and volume 9 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  11. 11.

    A body starts at 20 m/s and accelerates at 3.5 m/s² for 12 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  12. 12.

    A cone has base radius 4 cm and height 6 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cone
    V=13πr2hV = \tfrac{1}{3} \pi r^2 h
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  13. 13.

    A bag has 22 equally likely marbles, of which 3 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability
    P(E)=favourabletotalP(E) = \dfrac{\text{favourable}}{\text{total}}
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  14. 14.

    Solve for x: 8x + 20 = 44.

    Formula:Solving a Linear Equation
    x=cbax = \dfrac{c - b}{a}
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  15. 15.

    A device runs at 43 V drawing 6.3 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  16. 16.

    A population of 2,800 grows 3% per year. Find its size after 7 years (nearest whole number).

    Formula:Exponential Growth
    N=N0(1+r)tN = N_0 (1 + r)^{t}
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  17. 17.

    A bag has 15 equally likely marbles, of which 11 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability
    P(E)=favourabletotalP(E) = \dfrac{\text{favourable}}{\text{total}}
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  18. 18.

    A population of 1,800 grows 8% per year. Find its size after 7 years (nearest whole number).

    Formula:Exponential Growth
    N=N0(1+r)tN = N_0 (1 + r)^{t}
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  19. 19.

    Find the sum of the first 15 terms of an arithmetic series with first term a = 2 and common difference d = 6.

    Formula:Sum of an Arithmetic Series
    Sn=n2(2a+(n1)d)S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)
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  20. 20.

    A population of 5,500 grows 8% per year. Find its size after 3 years (nearest whole number).

    Formula:Exponential Growth
    N=N0(1+r)tN = N_0 (1 + r)^{t}
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