SS 2 · Deeper problem-solving

SS 2 Mathematics made simple

SS 2 goes deeper: sequences and series (arithmetic and geometric progressions), surds, linear inequalities, circle geometry, bearings, statistics and probability of combined events.

Use MathPlug's interactive visualisers — a sequence staircase and a two-dice outcome grid — to see why the formulas work, then practise until the ideas stick.

What you'll learn in SS 2

Try some SS 2 practice questions

Every answer below was worked out and checked by the MathPlug maths engine. Tap to see the steps.

  1. Question 1

    From the top of a building, the angle of depression of a car 20 m from the foot of the building is 30°. Find the height of the building.

    • A20√3 m
    • B20√2 m
    • C20√3/3 m
    • D10 m
    Show answer and working
    1. Step 1: Angle of depression = angle of elevation

      The angle at the car is also 30° (alternate angles).

    2. Step 2: Use tan

      tan 30° = h ÷ 20

    3. Step 3: Solve for h

      h = 20 × tan 30° = 20√3/3 m

      Why? tan 30° = 1/√3 = √3/3

    Final answer: 20√3/3 m

  2. Question 2

    Find the total amount on ₦12,000 for 2 years at 4% per annum simple interest.

    • A₦12,960
    • B₦960
    • C₦12,480
    • D₦21,600
    Show answer and working
    1. Step 1: Use the formula

      I = PRT ÷ 100 = 12,000 × 4 × 2 ÷ 100

    2. Step 2: Work it out

      I = ₦960

    3. Step 3: Add the principal

      Amount = ₦12,000 + ₦960 = ₦12,960

    Final answer: ₦12,960

  3. Question 3

    A trader bought a wristwatch for ₦1,500 and sold it for ₦2,250. Find the profit per cent.

    • A750%
    • B33.3%
    • C55%
    • D50%
    Show answer and working
    1. Step 1: Find the profit

      ₦2,250 − ₦1,500 = ₦750

    2. Step 2: Divide by the cost price

      7501500 × 100 = 50%

      Why? Profit and loss percentages are always compared with what the trader paid.

    Final answer: 50%

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