Practice Maths

Year 9 Exam Preparation — Solutions

Click any answer to watch the solution video.

  1. Real numbers and surds

    1. Classifications:
    2. √75−√12+2√3:
    3. (3√5)²:
    4. 0.&overline;36 to fraction:
    5. Ascending order:

  2. Index laws and scientific notation

    1. a&sup5;×a³÷a&sup4;:
    2. (2m²n)³:
    3. 2&sup0;+3&sup-1;+4²:
    4. 0.000 008 4:
    5. Operations in 1 minute:

  3. Equations and inequalities

    1. 3(2x−5)=2x+7:
    2. (x+3)/4=2x−1:
    3. 4x−3>9:
    4. Three consecutive odd integers, sum 81:
    5. (x+4)(x−3):

  4. Linear relationships and graphs

    1. y=−2x+5:
    2. Through (2,1) and (6,9):
    3. x-intercept of y=3x−12:
    4. Parallel or perpendicular:
    5. y=−3x+7 and y=x+1:

  5. Pythagoras’ Theorem

    1. Hypotenuse:
    2. Unknown leg:
    3. Rectangle width:
    4. Boat distance:
    5. Right-angled check:

  6. Trigonometry

    1. sin P and cos P:
    2. Side opposite 38°, hyp=12:
    3. Angle with adj=5.2, hyp=9.8:
    4. Building height:
    5. Car distance:

  7. Area, surface area, and volume

    1. Trapezium area:
    2. Cylinder surface area:
    3. Cylinder volume:
    4. Composite area:
    5. Triangular prism volume:

  8. Data analysis

    1. Mean:
    2. Median:
    3. Mode:
    4. Range:
    5. Outliers and centre:

  9. Probability

    1. P(even AND Heads):
    2. Class total:
    3. P(sport or music):
    4. P(both blue):
    5. Experimental P(5) and check:

  10. Financial mathematics

    1. Original jacket price:
    2. Weekly take-home:
    3. Simple interest total:
    4. Compound interest:
    5. Mark-up then discount: